Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze42.0ms (1.5%)

Memory

-19.6MiB live, 22.6MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample923.0ms (31.9%)

Memory

7.1MiB live, 1 077.7MiB allocated

Samples

711.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-div: 184.0ms (59.9% of total)

ival-add: 114.0ms (37.1% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain46.0ms (1.6%)

Memory

0.3MiB live, 89.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(/.f64 x (+.f64 x 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

17.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-div: 4.0ms (57.7% of total)

ival-add: 3.0ms (43.3% of total)

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

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

preprocess25.0ms (0.9%)

Memory

-28.2MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	35	29
4	41	29
5	47	29
6	47	29
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval1.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
x
(+.f64 x y)
(+.f64 y x)
y

localize12.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.0078125	(/.f64 x (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (58.6% of total)

ival-add: 1.0ms (29.3% of total)

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

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

series3.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 25

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)

Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify156.0ms (5.4%)

Memory

-9.0MiB live, 182.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	321
1	374	299
2	1035	281
3	3960	278
0	8121	264

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite167.0ms (5.8%)

Memory

7.8MiB live, 115.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	23	8
2	144	8
3	1401	8
0	9208	8

Stop Event

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

Counts

2 → 281

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)

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

eval31.0ms (1.1%)

Memory: -8.1MiB live, 36.7MiB allocated
Compiler: Compiled 9 620 to 985 computations (89.8% saved)

prune5.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	294	4	298
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	294	5	299

Accuracy

100.0%

Counts

299 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	46.5%	#s(approx (/ x (+ x y)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)))
▶	51.6%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	49.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	49.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 56 to 39 computations (30.4% saved)

simplify12.0ms (0.4%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y))
cost-diff	0	#s(approx (/ x (+ x y)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff	0	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	123
0	31	123
1	46	123
2	85	123
3	193	123
4	332	123
5	458	123
6	495	123
7	497	123
0	497	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (1.6%)

Memory

-5.9MiB live, 40.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	3.4265177070844133	(/.f64 x (pow.f64 y #s(literal 3 binary64)))
accuracy	4.6874958716604125	(-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
accuracy	8.022434393928792	(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y))
accuracy	30.96221808340098	#s(approx (/ x (+ x y)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)))
accuracy	0.0	(/.f64 x y)
accuracy	30.994042708654238	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	0.0	(/.f64 y x)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	32.54149311169133	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	32.242933070567794	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 95 to 19 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 13.0ms (52.5% of total)

ival-pow: 4.0ms (16.2% of total)

ival-mult: 3.0ms (12.1% of total)

ival-sub: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.5%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

11 → 40

Calls

Call 1

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

Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ y x))
(/ (- x y) x)
(/ y x)
(pow x 2)
(/ -1 (pow y 2))
(- (/ x (pow y 3)) (/ 1 (pow y 2)))
(/ x (pow y 3))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
(* x (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (+ x (* -1 y)) (pow y 3))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (- (/ 1 y) (/ 1 x)))
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(/ (- (/ x y) 1) (pow y 2))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ x (+ x y)) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (+ (* (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y))) (/ x y)) (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y)) (/ x (pow y 3)))
3.0ms	x	@	-inf	((/ x (+ x y)) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (+ (* (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y))) (/ x y)) (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y)) (/ x (pow y 3)))
3.0ms	y	@	0	((/ x (+ x y)) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (+ (* (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y))) (/ x y)) (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y)) (/ x (pow y 3)))
2.0ms	x	@	inf	((/ x (+ x y)) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (+ (* (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y))) (/ x y)) (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y)) (/ x (pow y 3)))
2.0ms	y	@	-inf	((/ x (+ x y)) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (+ (* (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y))) (/ x y)) (* x x) (- (/ x (pow y 3)) (/ (/ 1 y) y)) (/ x (pow y 3)))

simplify170.0ms (5.9%)

Memory

-2.4MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	555
1	475	528
2	1402	478
3	5624	476
0	8618	464

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ y x))
(/ (- x y) x)
(/ y x)
(pow x 2)
(/ -1 (pow y 2))
(- (/ x (pow y 3)) (/ 1 (pow y 2)))
(/ x (pow y 3))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
(* x (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (+ x (* -1 y)) (pow y 3))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (- (/ 1 y) (/ 1 x)))
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(/ (- (/ x y) 1) (pow y 2))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))

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

rewrite188.0ms (6.5%)

Memory

-31.5MiB live, 116.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	99
0	31	99
1	118	99
2	866	93
0	9228	93

Stop Event

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

Counts

11 → 358

Calls

Call 1

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

Outputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (/.f64 y x)) (/.f64 y x)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) y) x)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
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(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3/2 binary64))) (/.f64 y (pow.f64 y #s(literal 5/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (.f64 y y)) (/.f64 (pow.f64 y #s(literal 1 binary64)) (.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (.f64 y y)) (/.f64 y (.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (.f64 y y)) (/.f64 x (.f64 y y)) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 y y) (/.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y y) (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y y) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 1 binary64)) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 y y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 x y) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 y (pow.f64 y #s(literal -1 binary64))) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) (fabs.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 y (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 x (.f64 y y)) (/.f64 y (.f64 y y)) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 y (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 y y) (pow.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 x y) (/.f64 y (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (neg.f64 x) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 5 binary64))))
(-.f64 (/.f64 (.f64 x (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 5 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y y) #s(literal -3 binary64)) (-.f64 (/.f64 (fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 (.f64 (neg.f64 x) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 5 binary64))))
(+.f64 (/.f64 (.f64 x (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 5 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y y) #s(literal -3 binary64)) (-.f64 (/.f64 (fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -2 binary64)))
(+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (fabs.f64 (/.f64 x (*.f64 y y))) (fabs.f64 y))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x (*.f64 y y)) y)
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x (fabs.f64 y)) (*.f64 y y))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x y) (*.f64 y y))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))

eval47.0ms (1.6%)

Memory: 26.7MiB live, 69.5MiB allocated
Compiler: Compiled 14 872 to 1 767 computations (88.1% saved)

prune9.0ms (0.3%)

Memory

-24.9MiB live, 21.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	392	5	397

Accuracy

100.0%

Counts

397 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	47.1%	#s(approx (/ x (+ x y)) (fma.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)) (/.f64 x y)))
✓	51.6%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	49.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	49.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 54 to 36 computations (33.3% saved)

simplify215.0ms (7.4%)

Memory

-4.0MiB live, 183.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ x (+ x y)) (fma.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)) (/.f64 x y)))
cost-diff	2	(fma.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)) (/.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
0	19	64
1	41	64
2	132	62
3	509	62
4	1484	62
5	2067	62
6	2134	62
7	2206	62
8	2586	62
9	3074	62
10	3296	62
11	3390	62
12	3524	62
13	4402	62
14	7573	62
0	8365	60

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (1%)

Memory

26.6MiB live, 26.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.8075560863091927	(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))
accuracy	8.022434393928792	(fma.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)) (/.f64 x y))
accuracy	30.96221808340098	#s(approx (/ x (+ x y)) (fma.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)) (/.f64 x y)))

Samples

20.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-div: 5.0ms (38.6% of total)

ival-mult: 4.0ms (30.9% of total)

ival-add: 2.0ms (15.4% of total)

ival-sub: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 35

Calls

Call 1

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

Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(pow x 2)
(/ -1 (pow y 2))
(- (/ x (pow y 3)) (/ 1 (pow y 2)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ x (pow y 3))
(* x (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 y)) (pow y 3))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (- (/ x y) 1) (pow y 2))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))

Calls

6 calls:

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

simplify176.0ms (6.1%)

Memory

10.1MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	525
1	461	497
2	1379	447
3	5572	445
0	8559	433

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(pow x 2)
(/ -1 (pow y 2))
(- (/ x (pow y 3)) (/ 1 (pow y 2)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ x (pow y 3))
(* x (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 y)) (pow y 3))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (- (/ x y) 1) (pow y 2))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))

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

rewrite120.0ms (4.1%)

Memory

4.2MiB live, 139.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
0	19	50
1	84	50
2	654	48
0	8564	46

Stop Event

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

Counts

4 → 147

Calls

Call 1

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

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

eval34.0ms (1.2%)

Memory: -16.8MiB live, 42.4MiB allocated
Compiler: Compiled 6 928 to 792 computations (88.6% saved)

prune5.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	172	5	177

Accuracy

100.0%

Counts

177 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	47.1%	#s(approx (/ x (+ x y)) (fma.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)) (/.f64 x y)))
✓	51.6%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	49.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	49.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 132 to 63 computations (52.3% saved)

regimes9.0ms (0.3%)

Memory

-32.6MiB live, 13.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 x y))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
78.6%	3	`x`
78.9%	3	`y`
98.4%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`
49.6%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.18113226268070046	0.9999741110507843

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.18113226268070046	0.9999741110507843

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify13.0ms (0.5%)

Memory

-31.4MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	22	64
2	30	64
3	37	64
4	39	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness337.0ms (11.6%)

Memory

34.4MiB live, 128.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	321
1	374	299
2	1035	281
3	3960	278
0	8121	264

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 34 computations (55.8% saved)

preprocess41.0ms (1.4%)

Memory: -13.2MiB live, 31.1MiB allocated
Compiler: Compiled 138 to 42 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	123
0	31	123
1	46	123
2	85	123
3	193	123
4	332	123
5	458	123
6	495	123
7	497	123
0	497	123

Iter	Nodes	Cost
0	20	123
0	31	123
1	46	123
2	85	123
3	193	123
4	332	123
5	458	123
6	495	123
7	497	123
0	497	123

start0.0ms (0%)

analyze42.0ms (1.5%)

sample923.0ms (31.9%)

explain46.0ms (1.6%)

preprocess25.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize12.0ms (0.4%)

series3.0ms (0.1%)

simplify156.0ms (5.4%)

rewrite167.0ms (5.8%)

eval31.0ms (1.1%)

prune5.0ms (0.2%)

simplify12.0ms (0.4%)

localize47.0ms (1.6%)

series14.0ms (0.5%)

simplify170.0ms (5.9%)

rewrite188.0ms (6.5%)

eval47.0ms (1.6%)

prune9.0ms (0.3%)

simplify215.0ms (7.4%)

localize28.0ms (1%)

series5.0ms (0.2%)

simplify176.0ms (6.1%)

rewrite120.0ms (4.1%)

eval34.0ms (1.2%)

prune5.0ms (0.2%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.5%)

soundness337.0ms (11.6%)

preprocess41.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	123
0	31	123
1	46	123
2	85	123
3	193	123
4	332	123
5	458	123
6	495	123
7	497	123
0	497	123