Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze90.0ms (1.9%)

Memory

-16.5MiB live, 23.0MiB 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 9 to 7 computations (22.2% saved)

sample1.7s (36.4%)

Memory

7.1MiB live, 393.5MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-add: 101.0ms (48.8% of total)

ival-div: 52.0ms (25.1% of total)

ival-sub: 46.0ms (22.2% of total)

ival-true: 5.0ms (2.4% of total)

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

Bogosity

explain84.0ms (1.8%)

Memory

29.9MiB live, 155.1MiB allocated

FPErrors

Click to see full error table

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

24.0ms

512×

valid

Compiler

Compiled 71 to 29 computations (59.2% saved)

Precisions

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

ival-sub: 3.0ms (31% of total)

ival-div: 3.0ms (31% of total)

ival-add: 3.0ms (31% of total)

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

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

preprocess72.0ms (1.5%)

Memory

-23.5MiB live, 97.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	50	37
2	122	35
3	313	35
4	821	35
5	1352	35
6	1401	35
7	1441	35
8	1484	35
9	1496	35
0	5	7
0	8	7
1	14	7
2	21	7
3	33	7
4	60	7
5	104	7
6	171	7
7	279	7
8	458	7
9	773	7
10	781	7
11	819	7
12	848	7
0	848	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify30.0ms (0.6%)

Memory

-3.7MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.6%)

Memory

2.0MiB live, 40.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.025722509768442016	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (37.9% of total)

ival-sub: 2.0ms (25.2% of total)

ival-add: 2.0ms (25.2% of total)

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

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

series7.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

3 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify203.0ms (4.2%)

Memory

-20.2MiB live, 229.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	362
1	439	335
2	1231	290
3	4759	278
0	8353	255

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

rewrite176.0ms (3.7%)

Memory

24.0MiB live, 257.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	309	13
3	5153	13
0	8671	13

Stop Event

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

Counts

3 → 497

Calls

Call 1

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

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

eval54.0ms (1.1%)

Memory: -1.6MiB live, 119.5MiB allocated
Compiler: Compiled 11 952 to 1 251 computations (89.5% saved)

prune12.0ms (0.2%)

Memory

-2.6MiB live, 35.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	500	8	508
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	500	9	509

Accuracy

100.0%

Counts

509 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	53.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	100.0%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
▶	48.0%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
	53.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
	47.1%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	52.2%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 201 to 129 computations (35.8% saved)

simplify208.0ms (4.3%)

Memory

5.3MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 y x) y)
cost-diff	64	(-.f64 (*.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x))
cost-diff	128	(*.f64 x (/.f64 (+.f64 y x) y))
cost-diff	2432	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff	0	(/.f64 y (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	896	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	144
0	40	126
1	73	126
2	158	126
3	368	124
4	924	124
5	4677	124
0	8616	123

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
(/.f64 y (+.f64 y x))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(+.f64 x y)
x
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
(-.f64 (*.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x))
(*.f64 x (/.f64 (+.f64 y x) y))
x
(/.f64 (+.f64 y x) y)
(+.f64 y x)
y
(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) y))

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

localize66.0ms (1.4%)

Memory

-0.5MiB live, 111.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (+.f64 y x) y)
accuracy	0.07421875	(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) y))
accuracy	0.08203125	(*.f64 x (/.f64 (+.f64 y x) y))
accuracy	15.757991318303647	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
accuracy	0	(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy	0	(/.f64 y x)
accuracy	33.26063211428598	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.025722509768442016	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	30.040484115203338	#s(approx (- x y) (neg.f64 y))
accuracy	30.572231881324555	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.0234375	(/.f64 y (+.f64 y x))
accuracy	0.03515625	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))

Samples

40.0ms

256×

valid

Compiler

Compiled 276 to 48 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (37% of total)

ival-sub: 7.0ms (25.9% of total)

ival-mult: 5.0ms (18.5% of total)

ival-add: 4.0ms (14.8% of total)

ival-neg: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.5%)

Memory

-3.8MiB live, 45.9MiB allocated

Counts

17 → 112

Calls

Call 1

Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 x (+.f64 y x))
(+.f64 y x)
(/.f64 y (+.f64 y x))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(+.f64 x y)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
(*.f64 x (/.f64 (+.f64 y x) y))
(-.f64 (*.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x))
(/.f64 (+.f64 y x) y)
(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) y))

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- (* x (/ (+ y x) y)) (+ y x)) (* (+ y x) (/ (+ y x) y))) (* x (/ (+ y x) y)) (- (* x (/ (+ y x) y)) (+ y x)) (/ (+ y x) y) (* (+ y x) (/ (+ y x) y)))
5.0ms	y	@	-inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- (* x (/ (+ y x) y)) (+ y x)) (* (+ y x) (/ (+ y x) y))) (* x (/ (+ y x) y)) (- (* x (/ (+ y x) y)) (+ y x)) (/ (+ y x) y) (* (+ y x) (/ (+ y x) y)))
3.0ms	x	@	-inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- (* x (/ (+ y x) y)) (+ y x)) (* (+ y x) (/ (+ y x) y))) (* x (/ (+ y x) y)) (- (* x (/ (+ y x) y)) (+ y x)) (/ (+ y x) y) (* (+ y x) (/ (+ y x) y)))
3.0ms	x	@	inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- (* x (/ (+ y x) y)) (+ y x)) (* (+ y x) (/ (+ y x) y))) (* x (/ (+ y x) y)) (- (* x (/ (+ y x) y)) (+ y x)) (/ (+ y x) y) (* (+ y x) (/ (+ y x) y)))
3.0ms	y	@	inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (- (* x (/ (+ y x) y)) (+ y x)) (* (+ y x) (/ (+ y x) y))) (* x (/ (+ y x) y)) (- (* x (/ (+ y x) y)) (+ y x)) (/ (+ y x) y) (* (+ y x) (/ (+ y x) y)))

simplify194.0ms (4%)

Memory

-9.0MiB live, 186.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	1733
1	1607	1593
2	4677	1501
0	8395	1407

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

Calls

Call 1

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

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

rewrite198.0ms (4.1%)

Memory

9.9MiB live, 245.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	40	112
1	180	110
2	1757	110
0	8327	110

Stop Event

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

Counts

17 → 1 396

Calls

Call 1

Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 x (+.f64 y x))
(+.f64 y x)
(/.f64 y (+.f64 y x))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(+.f64 x y)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
(*.f64 x (/.f64 (+.f64 y x) y))
(-.f64 (*.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x))
(/.f64 (+.f64 y x) y)
(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) y))

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

eval201.0ms (4.2%)

Memory: 31.4MiB live, 262.5MiB allocated
Compiler: Compiled 40 429 to 3 994 computations (90.1% saved)

prune23.0ms (0.5%)

Memory

3.8MiB live, 80.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 399	1	1 400
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	1 400	9	1 409

Accuracy

100.0%

Counts

1 409 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	100.0%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
▶	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
✓	48.0%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	53.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
▶	47.1%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	52.2%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 104 to 67 computations (35.6% saved)

simplify36.0ms (0.7%)

Memory

-32.7MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	23	60
1	42	59
2	70	58
3	113	58
4	208	58
5	413	58
6	726	58
7	1269	58
8	1443	58
9	1469	58
10	1486	58
0	1486	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 y x)
y
x
(-.f64 y x)

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

localize40.0ms (0.8%)

Memory

-4.0MiB live, 69.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0	(+.f64 y x)
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy	0.18197250976844204	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
accuracy	0	(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy	0	(/.f64 x y)
accuracy	29.591626022378488	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	33.87311083968901	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))

Samples

28.0ms

256×

valid

Compiler

Compiled 114 to 33 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (30.6% of total)

ival-sub: 4.0ms (24.5% of total)

ival-add: 3.0ms (18.4% of total)

ival-mult: 3.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

8 → 63

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(+.f64 y x)
(-.f64 y x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x))
1.0ms	y	@	inf	((/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x))
1.0ms	x	@	-inf	((/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x))
1.0ms	x	@	0	((/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x))
1.0ms	y	@	0	((/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x))

simplify176.0ms (3.7%)

Memory

11.6MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	809
1	820	724
2	2363	636
3	6794	636
0	8236	589

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

rewrite218.0ms (4.5%)

Memory

-31.9MiB live, 166.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	52
0	23	52
1	106	51
2	822	50
0	8864	50

Stop Event

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

Counts

8 → 689

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(+.f64 y x)
(-.f64 y x)

Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal -2 binary64))))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
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(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (-.f64 x y))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 x x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 x (-.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 y y) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 y y) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 x (-.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 (neg.f64 y) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 x (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 x (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 (neg.f64 y) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 (.f64 x x) (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(+.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y)))) (.f64 x (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y)))))
(+.f64 (.f64 x (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y)))) (.f64 (neg.f64 y) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y)))))
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(+.f64 (.f64 (.f64 y (-.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y (-.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x (-.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 y y) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 x (-.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y))) (neg.f64 y)) (.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y))) x))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y))) x) (.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y))) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 x (-.f64 x y))) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 x (-.f64 x y))))
(+.f64 (neg.f64 (.f64 y #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 y (neg.f64 x))

eval119.0ms (2.5%)

Memory: 12.4MiB live, 162.1MiB allocated
Compiler: Compiled 18 651 to 2 148 computations (88.5% saved)

prune14.0ms (0.3%)

Memory

32.2MiB live, 32.2MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	722	0	722
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	722	9	731

Accuracy

100.0%

Counts

731 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	100.0%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
✓	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
✓	48.0%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	53.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
✓	47.1%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	52.2%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 222 to 105 computations (52.7% saved)

regimes36.0ms (0.8%)

Memory

-41.4MiB live, 13.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 y x) y)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) y)))

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

Calls

3 calls:

29.0ms	y
4.0ms	x
3.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-12.4MiB live, 22.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))

Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))

Calls

3 calls:

6.0ms	x
3.0ms	y
2.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
79.7%	3	`x`
76.8%	3	`y`
99.0%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))

Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`y`
52.2%	1	`x`
52.2%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999539877247	0.9857095434501227

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999539877247	0.9857095434501227

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999539877247	0.9857095434501227

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch17.0ms (0.4%)

Memory

-11.0MiB live, 25.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-0.9999999539877247	0.9857095434501227

Samples

5.0ms

240×

valid

Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify50.0ms (1%)

Memory

-29.6MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	155
1	45	155
2	54	155
3	62	155
4	69	155
5	72	155
6	73	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

soundness561.0ms (11.7%)

Memory

6.6MiB live, 362.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	309	13
3	5153	13
0	8671	13
0	142	362
1	439	335
2	1231	290
3	4759	278
0	8353	255

Stop Event

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

Compiler

Compiled 213 to 83 computations (61% saved)

preprocess72.0ms (1.5%)

Memory: 30.7MiB live, 68.8MiB allocated
Compiler: Compiled 346 to 90 computations (74% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

start0.0ms (0%)

analyze90.0ms (1.9%)

sample1.7s (36.4%)

explain84.0ms (1.8%)

preprocess72.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.6%)

localize27.0ms (0.6%)

series7.0ms (0.1%)

simplify203.0ms (4.2%)

rewrite176.0ms (3.7%)

eval54.0ms (1.1%)

prune12.0ms (0.2%)

simplify208.0ms (4.3%)

localize66.0ms (1.4%)

series25.0ms (0.5%)

simplify194.0ms (4%)

rewrite198.0ms (4.1%)

eval201.0ms (4.2%)

prune23.0ms (0.5%)

simplify36.0ms (0.7%)

localize40.0ms (0.8%)

series7.0ms (0.1%)

simplify176.0ms (3.7%)

rewrite218.0ms (4.5%)

eval119.0ms (2.5%)

prune14.0ms (0.3%)

regimes36.0ms (0.8%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.4%)

simplify50.0ms (1%)

soundness561.0ms (11.7%)

preprocess72.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15