Metrics for Kahan p9 Example

start0.0ms (0%)

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

analyze6.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	18.7%	81.3%	0%	0%	0%	0
0%	0%	18.7%	81.3%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
50%	9.4%	9.4%	81.3%	0%	0%	0%	3
50%	9.4%	9.4%	81.3%	0%	0%	0%	4
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	5
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	6
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	7
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	8
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	9
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	10
99.8%	18.7%	0%	81.3%	0%	0%	0%	11
99.8%	18.7%	0%	81.3%	0%	0%	0%	12

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.4s (23.2%)

Memory

35.4MiB live, 1 953.0MiB allocated; 348ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

ival-mult: 216.0ms (30.5% of total)

ival-<: 131.0ms (18.5% of total)

ival-add: 114.0ms (16.1% of total)

ival-div: 111.0ms (15.7% of total)

ival-sub: 104.0ms (14.7% of total)

ival-and: 17.0ms (2.4% of total)

exact: 11.0ms (1.6% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain113.0ms (1.8%)

Memory

20.6MiB live, 315.7MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
86	-	-	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`(-.f64 x y)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	45	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	45
↳	`(*.f64 y y)`	overflow	45
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	45
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	41	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	41
↳	`(*.f64 y y)`	underflow	72
↳	`(*.f64 x x)`	underflow	130
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	41

Confusion

	Predicted +	Predicted -
+	86	0
-	0	170

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	0
-	0	0	170

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	170
1	86

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

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

ival-mult: 11.0ms (44.8% of total)

ival-add: 6.0ms (24.4% of total)

ival-sub: 4.0ms (16.3% of total)

ival-div: 3.0ms (12.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess133.0ms (2.2%)

Memory

-2.9MiB live, 235.9MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	95	78
2	279	78
3	636	75
4	1517	75
5	2686	75
6	5494	75
0	9	15
0	16	15
1	37	15
2	99	15
3	277	15
4	526	15
5	1090	15
6	2476	15
7	4714	15
8	7410	15
0	8026	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify84.0ms (1.4%)

Memory

-23.9MiB live, 114.2MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	1	(+.f64 (.f64 x x) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	37	43
2	99	43
3	277	43
4	526	43
5	1090	43
6	2476	43
7	4714	43
8	7410	43
0	8026	41

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

23.5MiB live, 75.1MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (.f64 x x) (.f64 y y))
accuracy	21.235969109818218	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

27.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 14.0ms (71.8% of total)

ival-sub: 2.0ms (10.3% of total)

ival-div: 2.0ms (10.3% of total)

ival-add: 2.0ms (10.3% of total)

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

adjust: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-25.9MiB live, 20.1MiB allocated; 5ms collecting garbage

Counts

6 → 44

Calls

Call 1

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

Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (- (/ x y) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
2.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))

simplify158.0ms (2.6%)

Memory

20.8MiB live, 247.0MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	518
1	606	420
2	2601	401
0	8179	386

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (- (/ x y) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite45.0ms (0.7%)

Memory

19.3MiB live, 64.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	69	38
0	622	36

Stop Event

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

Counts

6 → 153

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: -32.3MiB live, 67.7MiB allocated; 34ms collecting garbage
Compiler: Compiled 3 938 to 589 computations (85% saved)

prune6.0ms (0.1%)

Memory

20.9MiB live, 20.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	7	182

Accuracy

99.3%

Counts

182 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
	47.2%	(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
▶	25.2%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	66.5%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
▶	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	67.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 258 to 148 computations (42.6% saved)

simplify149.0ms (2.4%)

Memory

-18.6MiB live, 170.6MiB allocated; 112ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	173
0	42	168
1	83	168
2	173	168
3	421	168
4	916	168
5	2028	168
6	4333	168
7	6706	168
0	8611	168

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1.1%)

Memory

-1.4MiB live, 148.4MiB allocated; 33ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 y y (*.f64 x x))
accuracy	0.16015625	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
accuracy	20.71560089563926	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.158535009768442	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	42.007915521855885	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (.f64 x x) (.f64 y y))
accuracy	21.235969109818218	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	37.257657026457125	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	43.48364162364264	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	20.757914682054263	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Samples

48.0ms

256×

valid

Compiler

Compiled 156 to 23 computations (85.3% saved)

Precisions

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

ival-mult: 9.0ms (35.8% of total)

ival-div: 8.0ms (31.8% of total)

ival-add: 6.0ms (23.9% of total)

ival-sub: 2.0ms (8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

1.9MiB live, 48.9MiB allocated; 3ms collecting garbage

Counts

16 → 76

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 y)
(- x y)
(/ y x)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -2 y)
(+ (* -1 (/ 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))
(+ x (* -1 y))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* y (- (/ x y) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ y x) (+ (* y y) (* x x)))
3.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ y x) (+ (* y y) (* x x)))
3.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ y x) (+ (* y y) (* x x)))
2.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ y x) (+ (* y y) (* x x)))
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ y x) (+ (* y y) (* x x)))

simplify206.0ms (3.4%)

Memory

-31.6MiB live, 353.7MiB allocated; 86ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	902
1	908	778
2	3497	744
0	8503	718

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 y)
(- x y)
(/ y x)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -2 y)
(+ (* -1 (/ 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))
(+ x (* -1 y))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* y (- (/ x y) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite173.0ms (2.8%)

Memory

-4.9MiB live, 275.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	42	152
1	155	152
2	1316	150
0	8771	148

Stop Event

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

Counts

16 → 601

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x)))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) (.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 (neg.f64 (neg.f64 x)) x))) (.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 y)) y) (.f64 (neg.f64 (neg.f64 y)) y))) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y x) (+.f64 y x)))))))
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eval102.0ms (1.7%)

Memory: 19.5MiB live, 160.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 19 360 to 1 925 computations (90.1% saved)

prune18.0ms (0.3%)

Memory

2.8MiB live, 47.3MiB allocated; 9ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	566	7	573
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	569	11	580

Accuracy

99.4%

Counts

580 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x x)))
▶	47.2%	(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
✓	66.5%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
▶	68.7%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)))
▶	68.7%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	26.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
	32.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)) (.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)))))))
	32.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)))))))
✓	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	67.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 868 to 290 computations (66.6% saved)

simplify239.0ms (3.9%)

Memory

13.9MiB live, 292.2MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
cost-diff	8	(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x x)))
cost-diff	0	(/.f64 y (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	312
0	61	303
1	134	303
2	476	303
3	1853	303
4	7707	303
0	8169	303

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (2.6%)

Memory

-2.9MiB live, 224.4MiB allocated; 92ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(/.f64 (fma.f64 x (/.f64 x y) x) y)
accuracy	0.0859375	(fma.f64 x (/.f64 x y) x)
accuracy	0.16015625	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)))
accuracy	19.81004682258219	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y))
accuracy	0.01171875	(fma.f64 y y (*.f64 x x))
accuracy	0.12890625	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
accuracy	0.12890625	(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
accuracy	33.313607126296674	(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 y y (*.f64 x x))
accuracy	21.235969109818218	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	5.176504559092375	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
accuracy	9.042017297738473	(/.f64 y (*.f64 x x))
accuracy	42.007915521855885	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 y x)
accuracy	0.046875	(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.16015625	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	19.78496545770153	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))

Samples

136.0ms

256×

valid

Compiler

Compiled 275 to 34 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add: 19.0ms (36.6% of total)

ival-mult: 15.0ms (28.9% of total)

ival-div: 14.0ms (27% of total)

ival-sub: 4.0ms (7.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-0.5MiB live, 44.5MiB allocated; 7ms collecting garbage

Counts

21 → 136

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(/ y (pow x 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ (* -1 y) (* 2 y))) (pow y 2)))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ x (+ (* -1 y) (* 2 y)))) (pow y 2)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(pow y 3)
(+ (* x (pow y 2)) (pow y 3))
(+ (* x (+ (* x y) (pow y 2))) (pow y 3))
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3))
x
(* x (+ 1 (/ x y)))
(/ x y)
(* x (+ (/ 1 y) (/ x (pow y 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* x (+ 1 (* -1 (/ y x))))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x)))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))))))
(/ (pow x 2) (pow y 3))
(* (pow x 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))
(* (pow x 2) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 3) (+ 1 (/ y x)))
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ y x)) (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (/ (pow y 2) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -1 (+ (* -2 (pow y 2)) (pow y 2))) (/ (pow y 3) x)) x))) x)) 1)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* -1 (/ 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))
(/ (+ x (* -1 y)) (pow y 2))
(* -2 y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(+ (* y (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (* -2 x)))))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (+ (* -2 x) (* -1 y))))))) (pow x 3))
(/ (+ (* x y) (pow x 2)) (pow y 3))
(/ (+ (* y (+ x (* -1 y))) (pow x 2)) (pow y 3))
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) (pow y 2))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (- (/ x y) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (/ x y)) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 3) (+ 1 (/ x y)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(+ x (/ (pow x 2) y))
(/ (+ x (/ (pow x 2) y)) y)
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -2 x)) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) y)))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (pow x 2))) y)))) y)))))
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	y	@	inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ x y) 1) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (/ (* (- x y) (+ y x)) (+ (* y y) (* x x))) (* (- x y) (+ y x)) (- x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (+ (* y y) (* x x)))) (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ (+ (* x (/ x y)) x) y) 1) y) (+ (* y y) (* x x)) (* x x) (* (+ y x) (+ (* y y) (* x x))) (+ (* x (/ x y)) x) (/ (+ (* x (/ x y)) x) y))
5.0ms	x	@	-inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ x y) 1) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (/ (* (- x y) (+ y x)) (+ (* y y) (* x x))) (* (- x y) (+ y x)) (- x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (+ (* y y) (* x x)))) (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ (+ (* x (/ x y)) x) y) 1) y) (+ (* y y) (* x x)) (* x x) (* (+ y x) (+ (* y y) (* x x))) (+ (* x (/ x y)) x) (/ (+ (* x (/ x y)) x) y))
4.0ms	y	@	-inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ x y) 1) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (/ (* (- x y) (+ y x)) (+ (* y y) (* x x))) (* (- x y) (+ y x)) (- x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (+ (* y y) (* x x)))) (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ (+ (* x (/ x y)) x) y) 1) y) (+ (* y y) (* x x)) (* x x) (* (+ y x) (+ (* y y) (* x x))) (+ (* x (/ x y)) x) (/ (+ (* x (/ x y)) x) y))
3.0ms	x	@	inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ x y) 1) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (/ (* (- x y) (+ y x)) (+ (* y y) (* x x))) (* (- x y) (+ y x)) (- x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (+ (* y y) (* x x)))) (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ (+ (* x (/ x y)) x) y) 1) y) (+ (* y y) (* x x)) (* x x) (* (+ y x) (+ (* y y) (* x x))) (+ (* x (/ x y)) x) (/ (+ (* x (/ x y)) x) y))
2.0ms	x	@	0	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ x y) 1) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (/ (* (- x y) (+ y x)) (+ (* y y) (* x x))) (* (- x y) (+ y x)) (- x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (+ (* y y) (* x x)))) (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (- (/ (+ (* x (/ x y)) x) y) 1) y) (+ (* y y) (* x x)) (* x x) (* (+ y x) (+ (* y y) (* x x))) (+ (* x (/ x y)) x) (/ (+ (* x (/ x y)) x) y))

simplify220.0ms (3.6%)

Memory

21.1MiB live, 322.7MiB allocated; 76ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	1811
1	1704	1535
2	7547	1517
0	8782	1459

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 134

Calls

Call 1

Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(/ y (pow x 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ (* -1 y) (* 2 y))) (pow y 2)))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ x (+ (* -1 y) (* 2 y)))) (pow y 2)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(pow y 3)
(+ (* x (pow y 2)) (pow y 3))
(+ (* x (+ (* x y) (pow y 2))) (pow y 3))
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3))
x
(* x (+ 1 (/ x y)))
(/ x y)
(* x (+ (/ 1 y) (/ x (pow y 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (/ 1 (* x y))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* x (+ 1 (* -1 (/ y x))))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x)))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))))))
(/ (pow x 2) (pow y 3))
(* (pow x 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))
(* (pow x 2) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 3) (+ 1 (/ y x)))
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 (pow y 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ y x)) (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (/ (pow y 2) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -1 (+ (* -2 (pow y 2)) (pow y 2))) (/ (pow y 3) x)) x))) x)) 1)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* -1 (/ 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))
(/ (+ x (* -1 y)) (pow y 2))
(* -2 y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(+ (* y (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (* -2 x)))))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (+ (* -2 x) (* -1 y))))))) (pow x 3))
(/ (+ (* x y) (pow x 2)) (pow y 3))
(/ (+ (* y (+ x (* -1 y))) (pow x 2)) (pow y 3))
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) (pow y 2))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (- (/ x y) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (/ x y)) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 3) (+ 1 (/ x y)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(+ x (/ (pow x 2) y))
(/ (+ x (/ (pow x 2) y)) y)
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -2 x)) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) y)))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (pow x 2))) y)))) y)))))
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
y
(+ 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 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) y)
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(* -2 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 #s(literal -2 binary64) x) (.f64 y (/.f64 y x)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
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rewrite210.0ms (3.4%)

Memory

-5.5MiB live, 270.1MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	246
0	61	237
1	243	235
2	2420	235
0	8536	235

Stop Event

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

Counts

21 → 953

Calls

Call 1

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

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

eval324.0ms (5.3%)

Memory: -17.3MiB live, 459.6MiB allocated; 93ms collecting garbage
Compiler: Compiled 56 264 to 4 945 computations (91.2% saved)

prune36.0ms (0.6%)

Memory

20.8MiB live, 113.8MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 522	2	1 524
Fresh	2	0	2
Picked	1	4	5
Done	1	3	4
Total	1 526	9	1 535

Accuracy

99.4%

Counts

1 535 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x x)))
▶	66.5%	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y))
✓	68.7%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)))
✓	68.7%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	31.9%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
✓	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	26.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	67.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 200 to 120 computations (40% saved)

simplify117.0ms (1.9%)

Memory

22.5MiB live, 211.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	190
0	43	188
1	92	188
2	217	188
3	674	188
4	2758	183
5	7643	183
0	8216	183

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.9%)

Memory

2.2MiB live, 145.3MiB allocated; 12ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 y y)
accuracy	0.16015625	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y))
accuracy	20.707778761540425	(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
accuracy	0.16015625	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
accuracy	0.30542763675818824	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	19.933593750000004	(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x)))
accuracy	43.342306648726414	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x))

Samples

100.0ms

256×

valid

Compiler

Compiled 160 to 26 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 34.0ms (39.3% of total)

ival-add: 21.0ms (24.3% of total)

ival-pow: 20.0ms (23.1% of total)

ival-div: 8.0ms (9.3% of total)

ival-sub: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory

-16.8MiB live, 27.2MiB allocated; 11ms collecting garbage

Counts

10 → 84

Calls

Call 1

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

Outputs
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)
(/ (+ (* -1 y) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 3) (pow x 2)))) x)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 (/ (+ y (/ (pow y 2) x)) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* -1 (/ 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))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	((+ (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) (neg x))) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) (/ (+ x y) (+ (* x x) (* y y))) (+ x y) (+ (* x x) (* y y)) (pow (/ y x) 3) (* y y))
2.0ms	x	@	inf	((+ (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) (neg x))) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) (/ (+ x y) (+ (* x x) (* y y))) (+ x y) (+ (* x x) (* y y)) (pow (/ y x) 3) (* y y))
2.0ms	y	@	-inf	((+ (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) (neg x))) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) (/ (+ x y) (+ (* x x) (* y y))) (+ x y) (+ (* x x) (* y y)) (pow (/ y x) 3) (* y y))
2.0ms	y	@	inf	((+ (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) (neg x))) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) (/ (+ x y) (+ (* x x) (* y y))) (+ x y) (+ (* x x) (* y y)) (pow (/ y x) 3) (* y y))
2.0ms	y	@	0	((+ (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) (neg x))) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) (/ (+ x y) (+ (* x x) (* y y))) (+ x y) (+ (* x x) (* y y)) (pow (/ y x) 3) (* y y))

simplify178.0ms (2.9%)

Memory

5.1MiB live, 181.7MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1242
1	1116	1079
2	3984	1040
0	8302	1000

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)
(/ (+ (* -1 y) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 3) (pow x 2)))) x)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 (/ (+ y (/ (pow y 2) x)) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* -1 (/ 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))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))

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

rewrite253.0ms (4.1%)

Memory

-37.4MiB live, 423.7MiB allocated; 122ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	125
0	43	123
1	188	123
2	1679	123
0	9110	123

Stop Event

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

Counts

10 → 532

Calls

Call 1

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

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

eval147.0ms (2.4%)

Memory: 31.7MiB live, 314.9MiB allocated; 35ms collecting garbage
Compiler: Compiled 25 444 to 2 886 computations (88.7% saved)

prune24.0ms (0.4%)

Memory

17.5MiB live, 109.8MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	548	6	554
Fresh	0	0	0
Picked	1	1	2
Done	1	6	7
Total	550	13	563

Accuracy

99.4%

Counts

563 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) (-.f64 (.f64 (.f64 #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y)) (.f64 (.f64 #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y)))))
✓	66.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x x)))
✓	66.5%	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y))
✓	68.7%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)))
	20.6%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
	31.9%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 y) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
	67.3%	(.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y)) (-.f64 x y))
	32.1%	(.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 (-.f64 y (*.f64 y (/.f64 (fma.f64 y (/.f64 y x) y) x))) x) #s(literal 1 binary64)) x)) (-.f64 x y))
	68.7%	(.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
✓	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	26.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	67.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 622 to 368 computations (77.3% saved)

regimes128.0ms (2.1%)

Memory

-25.0MiB live, 87.0MiB allocated; 14ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
(.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)))
(.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y)) (-.f64 x y))
(.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 (-.f64 y (*.f64 y (/.f64 (fma.f64 y (/.f64 y x) y) x))) x) #s(literal 1 binary64)) x)) (-.f64 x y))
(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)) (.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x)) (/.f64 y x)))))))
(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 y) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) (-.f64 (.f64 (.f64 #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y)) (.f64 (.f64 #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) x) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))) x)) y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)))))))

Outputs

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

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

Calls

3 calls:

63.0ms	x
59.0ms	y
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
91.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.8%	2	`x`
92.4%	3	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
91.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes35.0ms (0.6%)

Memory

-21.8MiB live, 21.6MiB allocated; 4ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	y

Results

Accuracy	Segments	Branch
91.9%	3	`y`
90.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes27.0ms (0.4%)

Memory

-22.2MiB live, 24.1MiB allocated; 3ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

25.0ms	y
2.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
82.9%	2	`y`
91.2%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.9%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes1.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
90.6%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`y`
67.6%	1	`x`
67.6%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-1.0	0.8563488691846177

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-1.0	0.8563488691846177

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch76.0ms (1.2%)

Memory

-4.8MiB live, 49.7MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0	NaN
58.0ms	-1.0	0.8563488691846177

Samples

53.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

simplify72.0ms (1.2%)

Memory

-21.8MiB live, 71.0MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	495
1	107	495
2	178	495
3	359	495
4	611	495
5	1148	495
6	2525	495
7	4754	495
8	7450	495

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (.f64 #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y)) (.f64 #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (.f64 #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) (.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (.f64 #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y)) (.f64 #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (.f64 #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) (.f64 #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

derivations811.0ms (13.2%)

Memory

24.2MiB live, 923.9MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	518
1	606	420
2	2601	401
0	8179	386
0	37	246
0	61	237
1	243	235
2	2420	235
0	8536	235
0	29	157
0	42	152
1	155	152
2	1316	150
0	8771	148
0	356	1242
1	1116	1079
2	3984	1040
0	8302	1000
0	9	38
0	16	38
1	69	38
0	622	36
0	282	902
1	908	778
2	3497	744
0	8503	718

Stop Event

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

Compiler

Compiled 527 to 64 computations (87.9% saved)

preprocess85.0ms (1.4%)

Memory: 9.1MiB live, 285.3MiB allocated; 23ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 528 to 358 computations (76.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.1%)

sample1.4s (23.2%)

explain113.0ms (1.8%)

preprocess133.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify84.0ms (1.4%)

localize33.0ms (0.5%)

series10.0ms (0.2%)

simplify158.0ms (2.6%)

rewrite45.0ms (0.7%)

eval36.0ms (0.6%)

prune6.0ms (0.1%)

simplify149.0ms (2.4%)

localize66.0ms (1.1%)

series17.0ms (0.3%)

simplify206.0ms (3.4%)

rewrite173.0ms (2.8%)

eval102.0ms (1.7%)

prune18.0ms (0.3%)

simplify239.0ms (3.9%)

localize161.0ms (2.6%)

series39.0ms (0.6%)

simplify220.0ms (3.6%)

rewrite210.0ms (3.4%)

eval324.0ms (5.3%)

prune36.0ms (0.6%)

simplify117.0ms (1.9%)

localize114.0ms (1.9%)

series46.0ms (0.7%)

simplify178.0ms (2.9%)

rewrite253.0ms (4.1%)

eval147.0ms (2.4%)

prune24.0ms (0.4%)

regimes128.0ms (2.1%)

regimes4.0ms (0.1%)

regimes35.0ms (0.6%)

regimes3.0ms (0%)

regimes27.0ms (0.4%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch76.0ms (1.2%)

simplify72.0ms (1.2%)

derivations811.0ms (13.2%)

preprocess85.0ms (1.4%)

end0.0ms (0%)

Profiling