Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

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)

sample2.6s (31.7%)

Memory

9.3MiB live, 663.4MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 659.0ms (50.6% of total)

ival-add: 327.0ms (25.1% of total)

ival-<: 189.0ms (14.5% of total)

ival-sub: 49.0ms (3.8% of total)

ival-div: 49.0ms (3.8% of total)

ival-and: 16.0ms (1.2% of total)

exact: 10.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain987.0ms (12.2%)

Memory

-175.9MiB live, 127.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
82	-	-	`(/.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	48	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	48
↳	`(*.f64 y y)`	overflow	48
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	48
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	34	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	34
↳	`(*.f64 y y)`	underflow	88
↳	`(*.f64 x x)`	underflow	111
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	34

Confusion

	Predicted +	Predicted -
+	82	0
-	0	174

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	0	0	174

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	174
1	82

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

922.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (47.9% of total)

ival-add: 5.0ms (24% of total)

ival-sub: 3.0ms (14.4% of total)

ival-div: 3.0ms (14.4% of total)

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

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

preprocess345.0ms (4.3%)

Memory

10.1MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	94	83
2	301	75
3	871	75
4	2372	75
5	4994	75
6	5675	75
7	6112	75
8	6413	75
9	6486	75
10	7002	75
0	9	15
0	16	15
1	29	15
2	55	15
3	125	15
4	250	15
5	535	15
6	1282	15
7	3131	15
8	5388	15
9	6909	15
10	7461	15
11	7692	15
12	7788	15
13	7797	15
14	7797	15
15	7855	15
16	7859	15
17	7859	15
18	7859	15
0	8085	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 (fma.f64 (neg.f64 y) y (.f64 x x)) (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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify296.0ms (3.6%)

Memory

-19.8MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	29	43
2	55	43
3	125	43
4	250	43
5	535	43
6	1282	43
7	3131	43
8	5388	43
9	6909	43
10	7461	43
11	7692	43
12	7788	43
13	7797	43
14	7797	43
15	7855	43
16	7859	43
17	7859	43
18	7859	43
0	8085	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 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(-.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)

localize26.0ms (0.3%)

Memory

11.6MiB live, 50.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	20.249303234527055	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

19.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

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

ival-mult: 4.0ms (40% of total)

ival-sub: 2.0ms (20% of total)

ival-add: 2.0ms (20% of total)

ival-div: 1.0ms (10% of total)

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

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

series7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

6 → 38

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

Calls

6 calls:

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

simplify142.0ms (1.8%)

Memory

2.3MiB live, 193.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	363
1	504	318
2	1641	283
3	6211	280
0	8785	257

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

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

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

rewrite161.0ms (2%)

Memory

11.7MiB live, 260.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
0	16	34
1	66	34
2	551	34
0	8259	32

Stop Event

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

Counts

6 → 569

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

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

eval64.0ms (0.8%)

Memory: -5.8MiB live, 152.8MiB allocated
Compiler: Compiled 17 673 to 1 861 computations (89.5% saved)

prune11.0ms (0.1%)

Memory

-0.0MiB live, 37.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	578	5	583
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	5	584

Accuracy

99.9%

Counts

584 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	38.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	38.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	62.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 186 to 114 computations (38.7% saved)

simplify138.0ms (1.7%)

Memory

-19.4MiB live, 178.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	39	168
1	66	168
2	116	168
3	226	168
4	394	168
5	801	168
6	1861	168
7	4667	168
8	7850	168
0	8184	168

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

-11.0MiB live, 128.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.1015625	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.2265625	(*.f64 (/.f64 x y) x)
accuracy	23.009927348022558	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	17.940907839449256	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.249303234527055	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	39.634210266606054	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	24.09988584926327	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0	(*.f64 x x)
accuracy	20.249303234527055	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))

Samples

110.0ms

256×

valid

Compiler

Compiled 328 to 49 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 35.0ms (62.8% of total)

ival-mult: 14.0ms (25.1% of total)

ival-add: 4.0ms (7.2% of total)

ival-sub: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

15 → 55

Calls

Call 1

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

Calls

6 calls:

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

simplify151.0ms (1.9%)

Memory

-5.1MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	585
1	611	501
2	2020	460
0	8187	431

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

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

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

rewrite178.0ms (2.2%)

Memory

6.7MiB live, 293.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	147
0	39	142
1	145	142
2	1061	142
0	8739	142

Stop Event

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

Counts

15 → 785

Calls

Call 1

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

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

eval202.0ms (2.5%)

Memory: -15.6MiB live, 260.9MiB allocated
Compiler: Compiled 38 258 to 2 814 computations (92.6% saved)

prune42.0ms (0.5%)

Memory

-5.3MiB live, 72.4MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 181	5	1 186
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 181	10	1 191

Accuracy

99.9%

Counts

1 191 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	38.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	39.5%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
▶	39.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	57.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
▶	63.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
▶	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
✓	38.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	62.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 377 to 229 computations (39.3% saved)

simplify138.0ms (1.7%)

Memory

24.2MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
cost-diff	1024	(pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))
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)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
cost-diff	0	(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	367
0	74	355
1	131	355
2	259	355
3	610	339
4	1352	339
5	2458	339
6	3671	339
7	6059	339
0	8190	332

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

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

localize142.0ms (1.7%)

Memory

-9.6MiB live, 236.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(*.f64 (/.f64 x y) x)
accuracy	4.573405221361419	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	12.227631623828715	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
accuracy	23.009927348022558	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.125	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	38.56271645417918	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.01953125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.10546875	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	15.166806282846043	(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy	23.009927348022558	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.1796875	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
accuracy	17.940907839449256	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	19.674785138102216	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
accuracy	0.1015625	(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
accuracy	0.1283847898915086	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
accuracy	0.2265625	(*.f64 (/.f64 x y) x)
accuracy	23.009927348022558	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 670 to 88 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 18.0ms (34.1% of total)

ival-mult: 15.0ms (28.4% of total)

ival-add: 11.0ms (20.8% of total)

ival-pow2: 6.0ms (11.4% of total)

ival-sub: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series38.0ms (0.5%)

Memory

11.4MiB live, 49.8MiB allocated

Counts

25 → 81

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(+.f64 y x)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (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)
(pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x y) x)
(*.f64 y y)
(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 y x)
(/.f64 (*.f64 (/.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)
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ 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))
y
(+ x y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 2 (pow x 2))
(pow x 2)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
(/ (pow x 4) (pow y 4))
(- (* 4 (/ (pow x 4) (pow y 4))) 1)
(/ (pow x 2) y)
(/ y x)
(/ (pow x 2) (pow y 2))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (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)))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(/ 1 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)
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(* 4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (* 4 (/ 1 (pow y 4))) (/ 1 (pow x 4))))
(+ 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 (/ (- (* -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))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 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))))))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(+ (/ 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))
(/ 1 (pow y 2))
(* -2 y)
(/ (+ (* -1 (pow y 4)) (* 4 (pow x 4))) (pow y 4))
(- (+ (* -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)))))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(/ (+ 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)
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(- (* -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 (/ (- (* -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))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (pow (/ (* (/ x y) x) y) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (* (/ x y) x) (* y y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (/ (* (/ x y) x) y))
7.0ms	y	@	0	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (pow (/ (* (/ x y) x) y) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (* (/ x y) x) (* y y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (/ (* (/ x y) x) y))
5.0ms	x	@	inf	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (pow (/ (* (/ x y) x) y) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (* (/ x y) x) (* y y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (/ (* (/ x y) x) y))
5.0ms	x	@	0	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (pow (/ (* (/ x y) x) y) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (* (/ x y) x) (* y y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (/ (* (/ x y) x) y))
5.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (pow (/ (* (/ x y) x) y) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1) (* (/ x y) x) (* y y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (/ (* (/ x y) x) y))

simplify122.0ms (1.5%)

Memory

3.4MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	1144
1	985	1071
2	2952	1005
0	8384	944

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 79

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)
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ 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))
y
(+ x y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 2 (pow x 2))
(pow x 2)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
(/ (pow x 4) (pow y 4))
(- (* 4 (/ (pow x 4) (pow y 4))) 1)
(/ (pow x 2) y)
(/ y x)
(/ (pow x 2) (pow y 2))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (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)))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(/ 1 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)
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(* 4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (* 4 (/ 1 (pow y 4))) (/ 1 (pow x 4))))
(+ 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 (/ (- (* -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))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 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))))))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(+ (/ 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))
(/ 1 (pow y 2))
(* -2 y)
(/ (+ (* -1 (pow y 4)) (* 4 (pow x 4))) (pow y 4))
(- (+ (* -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)))))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(/ (+ 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)
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(- (* -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 (/ (- (* -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))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (/.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))
(- (* (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)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x x) y) #s(literal -1 binary64)))
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -4 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))
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -4 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))
(/ 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))
(fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 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 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
y
(+ x y)
(+.f64 y x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* -2 (/ (pow y 2) (pow x 2)))
(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) x) x)
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 y y) (.f64 x x)) x) x)
(* -2 (/ y x))
(*.f64 (/.f64 y x) #s(literal -2 binary64))
(/ (pow x 4) (pow y 4))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (* 4 (/ (pow x 4) (pow y 4))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ y x)
(/.f64 y x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* 2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x) x)
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.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)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #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)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(* 1/2 (/ (pow y 2) (pow x 2)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) y)
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 x x))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y y)))) (*.f64 x x))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y y))))) (*.f64 x x))
(/ 1 x)
(/.f64 #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 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) 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 (* -2 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(* 4 (/ (pow x 4) (pow y 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 4) (- (* 4 (/ 1 (pow y 4))) (/ 1 (pow x 4))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #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)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 2 binary64)) (*.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))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y))
(+ (/ 1 x) (/ y (pow x 2)))
(+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(/ (+ (* -1 (pow y 4)) (* 4 (pow x 4))) (pow y 4))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 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 #s(literal 2 binary64) y) (/.f64 (*.f64 x 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 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))))
(/ (+ 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)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) 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)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 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)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) 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)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)

rewrite180.0ms (2.2%)

Memory

2.1MiB live, 233.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	312
0	74	274
1	303	258
2	2376	252
0	8481	235

Stop Event

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

Counts

25 → 746

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(+.f64 y x)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (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)
(pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x y) x)
(*.f64 y y)
(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 y x)
(/.f64 (*.f64 (/.f64 x y) x) y)

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
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(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y)) x #s(literal -1 binary64))
(fma.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) x)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 x y) x) (.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (.f64 (.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 x (.f64 x (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (/.f64 x y) x))) (exp.f64 (neg.f64 (log.f64 y))))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))))
(.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (/.f64 x y) x))
(.f64 (.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)))
(.f64 x (pow.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 x (pow.f64 (pow.f64 (.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (/.f64 x y) y))
(.f64 x (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1 binary64)))
(.f64 x (pow.f64 (.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) (/.f64 x y)))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x y) x))) (exp.f64 (log.f64 y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal 1 binary64)) y)
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 y x) y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y)))
(exp.f64 (fma.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))

eval114.0ms (1.4%)

Memory: 6.3MiB live, 168.6MiB allocated
Compiler: Compiled 21 312 to 2 412 computations (88.7% saved)

prune39.0ms (0.5%)

Memory

-2.9MiB live, 75.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	601	3	604
Fresh	0	0	0
Picked	3	2	5
Done	1	4	5
Total	605	9	614

Accuracy

99.9%

Counts

614 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	62.4%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y 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)) (-.f64 x y))
✓	39.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	57.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
▶	63.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
✓	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
✓	38.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	62.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 238 to 140 computations (41.2% saved)

simplify100.0ms (1.2%)

Memory

-8.2MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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)
cost-diff	0	#s(approx (/ (+ y x) (+ (* x x) (* y 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))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y 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)) (-.f64 x y))
cost-diff	128	(+.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))
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	347
0	67	347
1	133	323
2	349	315
3	1227	299
4	4206	299
5	6796	299
0	8039	291

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

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

localize132.0ms (1.6%)

Memory

4.0MiB live, 159.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 (neg.f64 x) (/.f64 x y) x)
accuracy	0.1796875	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y 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)) (-.f64 x y))
accuracy	0.31714638675818824	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	24.003519839204433	#s(approx (/ (+ y x) (+ (* x x) (* y 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))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	5.452824014806682	(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))
accuracy	9.053550207007516	(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y))
accuracy	23.009927348022558	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
accuracy	0.2265625	(*.f64 (/.f64 x y) x)
accuracy	4.573405221361419	(/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))
accuracy	12.227631623828715	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
accuracy	23.009927348022558	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))

Samples

106.0ms

256×

valid

Compiler

Compiled 622 to 83 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 42.0ms (53.1% of total)

ival-mult: 20.0ms (25.3% of total)

ival-add: 9.0ms (11.4% of total)

ival-sub: 3.0ms (3.8% of total)

ival-pow: 3.0ms (3.8% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series27.0ms (0.3%)

Memory

13.6MiB live, 51.9MiB allocated

Counts

16 → 85

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (/ (* (/ x y) x) (neg y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
5.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (/ (* (/ x y) x) (neg y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
4.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (/ (* (/ x y) x) (neg y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
4.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (/ (* (/ x y) x) (neg y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
3.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (+ (* (* (/ x y) x) (/ 2 y)) 1)) (+ (* 4 (* (/ (* (/ x y) x) (neg y)) (/ (* (/ x y) x) (neg y)))) -1) (/ (* (/ x y) x) (neg y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))

simplify138.0ms (1.7%)

Memory

6.5MiB live, 158.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1315
1	1079	1213
2	3388	1129
0	8281	1096

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 84

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

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

rewrite267.0ms (3.3%)

Memory

-50.4MiB live, 296.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	274
0	67	253
1	299	245
2	2805	236
0	9165	232

Stop Event

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

Counts

16 → 486

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal -2 binary64)))))
(.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x))) y)
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) y)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 y x)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #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 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (*.f64 (/.f64 x y) x) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (.f64 (/.f64 x y) x) x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (.f64 (/.f64 x y) x) x))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (neg.f64 x) y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (.f64 (/.f64 x y) x) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (.f64 (/.f64 x y) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (.f64 (/.f64 x y) x) x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (.f64 (.f64 (/.f64 x y) x) x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) x x)
(fma.f64 (/.f64 (neg.f64 x) y) x x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 x y) (neg.f64 x) x)
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) x)
(fma.f64 x (/.f64 (neg.f64 x) y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 (neg.f64 x) y) x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 (neg.f64 x) y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 (neg.f64 x) y) x (neg.f64 x))))
(-.f64 x (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x)
(+.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))

eval93.0ms (1.1%)

Memory: 33.6MiB live, 186.5MiB allocated
Compiler: Compiled 29 967 to 3 198 computations (89.3% saved)

prune45.0ms (0.6%)

Memory

11.2MiB live, 48.3MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	644	3	647
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	644	12	656

Accuracy

99.9%

Counts

656 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	62.4%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y 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)) (-.f64 x y))
	62.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 2 binary64))) (pow.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)) #s(literal -1 binary64))) y)) (-.f64 x y))
	62.4%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))) (-.f64 x y))
	62.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)))) (-.f64 x y))
✓	39.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
✓	57.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
✓	63.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 y))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))
✓	64.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
✓	38.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	62.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 910 to 314 computations (65.5% saved)

regimes39.0ms (0.5%)

Memory

-11.0MiB live, 36.4MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

27.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
82.9%	2	`x`
94.6%	3	`y`
93.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
93.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes46.0ms (0.6%)

Memory

-30.7MiB live, 8.5MiB allocated

Counts

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

Calls

2 calls:

43.0ms	y
2.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
87.3%	2	`y`
92.5%	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

4.4MiB live, 4.4MiB allocated

Counts

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

Outputs

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

2.0ms

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

Results

Accuracy	Segments	Branch
91.8%	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

2.6MiB live, 2.6MiB allocated

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
91.6%	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%)

Memory

7.6MiB live, 7.6MiB allocated

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
62.3%	1	`x`
62.3%	1	`y`
62.3%	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

0.6MiB live, 0.6MiB allocated

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

0.6MiB live, 0.6MiB allocated

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

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.8963157201141088	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.8963157201141088	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch43.0ms (0.5%)

Memory

13.3MiB live, 49.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.0	NaN
26.0ms	-0.8963157201141088	1.0

Samples

21.0ms	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)

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

simplify77.0ms (1%)

Memory

-24.8MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	409
1	73	409
2	100	409
3	171	409
4	297	409
5	591	409
6	1551	409
7	4332	409

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

soundness760.0ms (9.4%)

Memory

35.2MiB live, 422.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
0	16	34
1	66	34
2	551	34
0	8259	32
0	28	147
0	39	142
1	145	142
2	1061	142
0	8739	142
0	160	363
1	504	318
2	1641	283
3	6211	280
0	8785	257
0	45	312
0	74	274
1	303	258
2	2376	252
0	8481	235

Stop Event

1×	fuel
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

Compiler

Compiled 677 to 217 computations (67.9% saved)

preprocess90.0ms (1.1%)

Memory

-4.1MiB live, 116.9MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 212 to 280 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample2.6s (31.7%)

explain987.0ms (12.2%)

preprocess345.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify296.0ms (3.6%)

localize26.0ms (0.3%)

series7.0ms (0.1%)

simplify142.0ms (1.8%)

rewrite161.0ms (2%)

eval64.0ms (0.8%)

prune11.0ms (0.1%)

simplify138.0ms (1.7%)

localize124.0ms (1.5%)

series11.0ms (0.1%)

simplify151.0ms (1.9%)

rewrite178.0ms (2.2%)

eval202.0ms (2.5%)

prune42.0ms (0.5%)

simplify138.0ms (1.7%)

localize142.0ms (1.7%)

series38.0ms (0.5%)

simplify122.0ms (1.5%)

rewrite180.0ms (2.2%)

eval114.0ms (1.4%)

prune39.0ms (0.5%)

simplify100.0ms (1.2%)

localize132.0ms (1.6%)

series27.0ms (0.3%)

simplify138.0ms (1.7%)

rewrite267.0ms (3.3%)

eval93.0ms (1.1%)

prune45.0ms (0.6%)

regimes39.0ms (0.5%)

regimes3.0ms (0%)

regimes46.0ms (0.6%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch43.0ms (0.5%)

simplify77.0ms (1%)

soundness760.0ms (9.4%)

preprocess90.0ms (1.1%)

end0.0ms (0%)

Profiling