Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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)

sample2.4s (31.8%)

Memory

29.1MiB live, 1 321.3MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 401.0ms (37% of total)

ival-mult: 258.0ms (23.8% of total)

ival-<: 189.0ms (17.4% of total)

ival-add: 159.0ms (14.7% of total)

ival-sub: 47.0ms (4.3% of total)

ival-and: 17.0ms (1.6% of total)

exact: 11.0ms (1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain118.0ms (1.6%)

Memory

-15.6MiB live, 236.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
78	-	-	`(/.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	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	39
↳	`(*.f64 y y)`	overflow	39
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	39
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	39
↳	`(*.f64 y y)`	underflow	83
↳	`(*.f64 x x)`	underflow	123
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	39

Confusion

	Predicted +	Predicted -
+	78	0
-	0	178

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	0	0	178

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	178
1	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.7% of total)

ival-sub: 5.0ms (22.6% of total)

ival-add: 4.0ms (18.1% of total)

ival-div: 3.0ms (13.6% of total)

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

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

preprocess345.0ms (4.6%)

Memory

13.2MiB live, 249.0MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify253.0ms (3.4%)

Memory

-13.8MiB live, 144.1MiB 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)

localize27.0ms (0.4%)

Memory

1.4MiB live, 39.5MiB 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 y) (+.f64 x y))
accuracy	19.243433196248137	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

20.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

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

ival-mult: 7.0ms (54.4% of total)

ival-add: 2.0ms (15.5% of total)

ival-sub: 1.0ms (7.8% of total)

ival-div: 1.0ms (7.8% of total)

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

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

series8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

7 → 50

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 (-.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)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 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)))
(* (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))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* (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)))
(* (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
2.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y))
1.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y))
1.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x 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 y) (+ x y)) (* x x) (* y y))
1.0ms	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y))

simplify158.0ms (2.1%)

Memory

-4.0MiB live, 239.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	539
1	601	456
2	2005	415
0	8023	386

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 48

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

rewrite138.0ms (1.9%)

Memory

9.0MiB live, 202.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
0	16	41
1	66	41
2	551	41
0	8259	39

Stop Event

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

Counts

7 → 836

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 (-.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)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)))) (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 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (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 (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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 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 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 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))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)) (-.f64 x y))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))))
(.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (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 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)) (+.f64 y x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (.f64 x x))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x 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 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 y y (.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (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)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 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 (fma.f64 y y (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x y))) (+.f64 y x))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 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 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 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 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #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)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
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(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (.f64 x x))) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x))) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 x y) (*.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 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)) (.f64 (-.f64 x y) x))
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x))) (.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 x) y (*.f64 (-.f64 x y) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 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) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 y)) (*.f64 (+.f64 y x) x))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) y) (*.f64 (-.f64 x y) x))
(fma.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 x (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (.f64 (-.f64 x y) y))
(fma.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 y (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #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 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) 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 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) y))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) x))
(fma.f64 #s(literal -1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 y x) x))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y) (*.f64 (-.f64 x y) x))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 x (+.f64 y x)) (.f64 (-.f64 x y) y))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 y (+.f64 y x)) (.f64 (-.f64 x y) x))
(fma.f64 (neg.f64 y) (+.f64 y x) (*.f64 (+.f64 y x) x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (+.f64 y x)) (.f64 (+.f64 y x) x))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x) (.f64 (neg.f64 y) (+.f64 y 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (-.f64 x y) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (-.f64 x y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (-.f64 x y) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 y x) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (+.f64 y x) (neg.f64 y) (*.f64 (+.f64 y x) x))
(fma.f64 (+.f64 y x) x (*.f64 (neg.f64 y) (+.f64 y x)))
(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) (*.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 x) y (*.f64 (-.f64 x y) y)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 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)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (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 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 (neg.f64 x) (-.f64 x y))) (neg.f64 (.f64 (-.f64 y x) y)))
(+.f64 (.f64 (neg.f64 y) (+.f64 y x)) (.f64 (+.f64 y x) x))
(+.f64 (.f64 (+.f64 y x) x) (.f64 (neg.f64 y) (+.f64 y x)))
(+.f64 (.f64 (neg.f64 y) y) (.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 x) y (.f64 (-.f64 x y) y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) 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)))

eval94.0ms (1.3%)

Memory: -8.1MiB live, 186.2MiB allocated
Compiler: Compiled 26 295 to 2 633 computations (90% saved)

prune40.0ms (0.5%)

Memory

-23.7MiB live, 75.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	854	7	861
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	855	7	862

Accuracy

99.8%

Counts

862 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.5%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
▶	69.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	45.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	26.2%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
	35.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	33.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 252 to 148 computations (41.3% saved)

simplify142.0ms (1.9%)

Memory

20.2MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
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	25	167
0	35	161
1	54	161
2	81	161
3	163	161
4	318	161
5	680	161
6	1705	161
7	4143	161
8	7366	161
0	8048	161

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

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

localize39.0ms (0.5%)

Memory

-9.1MiB live, 67.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	19.243433196248137	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	37.18205864816642	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	14.816370572580018	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	19.243433196248137	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	42.56588069654592	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	21.257627196971754	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	19.243433196248137	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))

Samples

27.0ms

256×

valid

Compiler

Compiled 318 to 40 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (27.3% of total)

ival-add: 4.0ms (27.3% of total)

ival-mult: 4.0ms (27.3% of total)

ival-sub: 2.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

14 → 50

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))
(+.f64 (.f64 x x) (.f64 y y))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
#s(approx (* (- x y) (+ x y)) (*.f64 x x))
(*.f64 x x)
(*.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))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(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)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -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))
(+ (* 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
1.0ms	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 x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (* (- x y) (+ x y)) (* y y))
1.0ms	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 x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (* (- x y) (+ x y)) (* y y))
1.0ms	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 x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (* (- x y) (+ x y)) (* y y))
1.0ms	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 x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (* (- x y) (+ x y)) (* y y))
1.0ms	x	@	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 x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (* (- x y) (+ x y)) (* y y))

simplify135.0ms (1.8%)

Memory

14.0MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	539
1	601	456
2	1999	415
3	7951	415
0	8945	386

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 48

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

rewrite200.0ms (2.7%)

Memory

-20.2MiB live, 294.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	35	134
1	115	134
2	801	134
0	9057	134

Stop Event

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

Counts

14 → 1 159

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

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

eval174.0ms (2.3%)

Memory: 25.9MiB live, 373.5MiB allocated
Compiler: Compiled 51 809 to 3 507 computations (93.2% saved)

prune22.0ms (0.3%)

Memory

10.1MiB live, 89.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 575	2	1 577
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 577	7	1 584

Accuracy

99.8%

Counts

1 584 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.5%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	69.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	45.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	26.2%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
▶	35.8%	#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)))
✓	33.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 125 to 73 computations (41.6% saved)

simplify155.0ms (2.1%)

Memory

-0.4MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	35	124
1	63	124
2	108	124
3	228	124
4	432	124
5	856	124
6	2188	124
7	4999	124
0	8549	124

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.1%)

Memory

-34.9MiB live, 126.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	19.243433196248137	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	19.243433196248137	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
accuracy	37.18205864816642	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.1640625	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	41.09655606360015	#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)))

Samples

57.0ms

256×

valid

Compiler

Compiled 240 to 45 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 17.0ms (44.6% of total)

ival-mult: 9.0ms (23.6% of total)

ival-div: 6.0ms (15.7% of total)

ival-add: 4.0ms (10.5% of total)

ival-neg: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

12 → 52

Calls

Call 1

Inputs
#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)
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
#s(approx (* (- x y) (+ x y)) (*.f64 x x))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
(/.f64 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)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(/ y x)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) (pow x 4))) (* -1 (/ (pow y 2) (pow x 2))))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* (pow y 4) (- (* -1 (pow y 2)) (pow y 2))) (pow x 6)))) (+ (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) (pow x 4)) (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 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))))))
(* -2 y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 y)
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4))) (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (/ (* (pow x 4) (- (pow x 2) (* -1 (pow x 2)))) (pow y 6)) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4)))))
(* (pow y 2) (- (/ (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)
(* (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))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (/ y x))
2.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (/ y x))
2.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (/ y x))
2.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (/ y x))
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (/ y x))

simplify210.0ms (2.8%)

Memory

-24.0MiB live, 215.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	798
1	645	647
2	2157	551
0	8229	514

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

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

rewrite199.0ms (2.7%)

Memory

5.6MiB live, 162.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
0	35	107
1	145	107
2	1172	105
0	8661	103

Stop Event

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

Counts

12 → 552

Calls

Call 1

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

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

eval119.0ms (1.6%)

Memory: 8.4MiB live, 129.8MiB allocated
Compiler: Compiled 20 022 to 1 926 computations (90.4% saved)

prune42.0ms (0.6%)

Memory

15.3MiB live, 53.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	675	4	679
Fresh	0	0	0
Picked	0	3	3
Done	1	3	4
Total	676	10	686

Accuracy

99.8%

Counts

686 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.5%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	69.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	26.2%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
▶	60.1%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	35.8%	#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)))
▶	34.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))
▶	33.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
▶	33.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
✓	33.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 276 to 148 computations (46.4% saved)

simplify222.0ms (3%)

Memory

-19.3MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))
cost-diff	6464	(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
cost-diff	128	(-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
cost-diff	6464	(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))
cost-diff	320	(.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))
cost-diff	6464	(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))
cost-diff	7360	(-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	15424	(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	517
0	70	561
1	144	495
2	362	417
3	1168	417
4	3146	416
5	7036	416
0	8035	407

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.6%)

Memory

28.3MiB live, 181.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.4096013000451212	(/.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy	15.643961004012835	(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
accuracy	20.342146944335447	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
accuracy	0.140625	(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))
accuracy	0.292011279305326	(pow.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy	33.09557005710904	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))
accuracy	41.09655606360015	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))
accuracy	0.1556625976844202	(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64))
accuracy	0.292011279305326	(pow.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy	37.11319473006327	(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
accuracy	41.09655606360015	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
accuracy	0.292011279305326	(pow.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy	23.503712218039347	(-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	37.10538223006327	(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))
accuracy	41.09655606360015	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))))

Samples

72.0ms

256×

valid

Compiler

Compiled 948 to 90 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 16.0ms (31.7% of total)

ival-div: 12.0ms (23.8% of total)

ival-add: 9.0ms (17.8% of total)

ival-pow: 5.0ms (9.9% of total)

ival-sub: 4.0ms (7.9% of total)

ival-pow2: 3.0ms (5.9% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series336.0ms (4.5%)

Memory

-191.1MiB live, 55.0MiB allocated

Counts

18 → 72

Calls

Call 1

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

Outputs
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ (pow y 6) (pow x 6)))
(/ (+ (* -8 (pow y 6)) (* -4 (* (pow x 2) (pow y 4)))) (pow x 6))
(/ (+ (* -8 (pow y 6)) (* (pow x 2) (+ (* -4 (pow y 4)) (* 2 (* (pow x 2) (pow y 2)))))) (pow x 6))
(/ (+ (* -8 (pow y 6)) (* (pow x 2) (+ (* -4 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -2 (pow y 2))))))) (pow x 6))
(/ (pow y 4) (pow x 4))
(* 4 (/ (pow y 4) (pow x 4)))
(/ (+ (* 2 (* (pow x 2) (pow y 2))) (* 4 (pow y 4))) (pow x 4))
(/ (+ (* 4 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -2 (pow y 2))))) (pow x 4))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ (+ (* -1 (pow x 4)) (* 4 (pow y 4))) (pow x 4))
(/ (pow y 2) (pow x 2))
(/ (pow y 6) (pow x 6))
(pow x 2)
1
(- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* 4 (/ (* (pow y 2) (- (* 2 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2)))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 4)) (+ (* 4 (* (pow y 2) (- (* 2 (pow y 2)) (* 4 (pow y 2))))) (* 4 (pow y 4))))) (pow x 6))) (+ (* 4 (/ (* (pow y 2) (- (* 2 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (+ (* 4 (/ (* (pow y 4) (- (* 2 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))))
(+ 1 (* 2 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -4 (/ (pow y 4) (pow x 4)))) (* -2 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (* -4 (/ (pow y 4) (pow x 4))))) (* -2 (/ (pow y 2) (pow x 2))))
(* -4 (/ (pow y 4) (pow x 4)))
(/ (+ (* -8 (/ (pow y 6) (pow x 2))) (* -4 (pow y 4))) (pow x 4))
(- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* -2 (/ (pow y 2) (pow x 2))))
(+ 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 (* -1 (/ (+ (* -4 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 4)) (* 4 (pow y 4)))) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(- (* 4 (/ (pow y 4) (pow x 4))) 1)
(- (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) (pow x 4))) (* -1 (/ (pow y 2) (pow x 2))))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* (pow y 4) (- (* -1 (pow y 2)) (pow y 2))) (pow x 6)))) (+ (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) (pow x 4)) (/ (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))))
(+ 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 y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* (pow y 4) (- (* -8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4)))))
(+ 1 (* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (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))
(/ 2 (pow y 2))
(pow y 2)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 4))))))
(* (pow y 2) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (pow y 6))) (+ (* 1/2 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 4))))))
(* -1 (* (pow y 6) (+ (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (/ 2 (* (pow x 2) (pow y 4))) (+ (* 8 (/ 1 (pow x 6))) (/ 4 (* (pow x 4) (pow y 2))))))
(* (pow y 6) (- (+ (* 2 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 8 (/ 1 (pow x 6))) (/ 4 (* (pow x 4) (pow y 2))))))
(* -1 (* (pow y 6) (+ (* 4 (/ 1 (* (pow x 4) (pow y 2)))) (* 8 (/ 1 (pow x 6))))))
(* (pow y 4) (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* 4 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 2 (* (pow x 2) (pow y 2))))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ (* (pow x 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow x 2)))))))
(* (pow y 4) (- (* 4 (/ 1 (pow x 4))) (/ 1 (pow y 4))))
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4))) (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (/ (* (pow x 4) (- (pow x 2) (* -1 (pow x 2)))) (pow y 6)) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4)))))
(- (* -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)

Calls

6 calls:

Time	Variable		Point	Expression
292.0ms	x	@	0	((/ (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (* (+ (* -2 (pow (/ x y) -2)) -1) (+ (* -2 (pow (/ x y) -2)) -1))) (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (pow (pow (/ x y) -2) 2) (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* -8 (pow (pow (/ x y) -2) 3)) 1) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2)))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (+ (* -2 (pow (/ x y) -2)) -1)) (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ 2 (* y y)) (* y y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (pow (/ x y) -2) (pow (pow (/ x y) -2) 3) (* x x))
18.0ms	y	@	-inf	((/ (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (* (+ (* -2 (pow (/ x y) -2)) -1) (+ (* -2 (pow (/ x y) -2)) -1))) (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (pow (pow (/ x y) -2) 2) (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* -8 (pow (pow (/ x y) -2) 3)) 1) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2)))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (+ (* -2 (pow (/ x y) -2)) -1)) (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ 2 (* y y)) (* y y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (pow (/ x y) -2) (pow (pow (/ x y) -2) 3) (* x x))
7.0ms	y	@	inf	((/ (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (* (+ (* -2 (pow (/ x y) -2)) -1) (+ (* -2 (pow (/ x y) -2)) -1))) (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (pow (pow (/ x y) -2) 2) (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* -8 (pow (pow (/ x y) -2) 3)) 1) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2)))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (+ (* -2 (pow (/ x y) -2)) -1)) (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ 2 (* y y)) (* y y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (pow (/ x y) -2) (pow (pow (/ x y) -2) 3) (* x x))
6.0ms	y	@	0	((/ (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (* (+ (* -2 (pow (/ x y) -2)) -1) (+ (* -2 (pow (/ x y) -2)) -1))) (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (pow (pow (/ x y) -2) 2) (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* -8 (pow (pow (/ x y) -2) 3)) 1) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2)))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (+ (* -2 (pow (/ x y) -2)) -1)) (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ 2 (* y y)) (* y y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (pow (/ x y) -2) (pow (pow (/ x y) -2) 3) (* x x))
6.0ms	x	@	inf	((/ (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (* (+ (* -2 (pow (/ x y) -2)) -1) (+ (* -2 (pow (/ x y) -2)) -1))) (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (pow (pow (/ x y) -2) 2) (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* -8 (pow (pow (/ x y) -2) 3)) 1) (- (+ (* 4 (pow (pow (/ x y) -2) 2)) 1) (* -2 (pow (/ x y) -2)))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (+ (* -2 (pow (/ x y) -2)) -1)) (+ (* 4 (pow (pow (/ x y) -2) 2)) -1) (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ 2 (* y y)) (* y y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (pow (/ x y) -2) (pow (pow (/ x y) -2) 3) (* x x))

simplify217.0ms (2.9%)

Memory

44.2MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1460
1	1060	1288
2	3646	1206
0	8334	1126

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ (pow y 6) (pow x 6)))
(/ (+ (* -8 (pow y 6)) (* -4 (* (pow x 2) (pow y 4)))) (pow x 6))
(/ (+ (* -8 (pow y 6)) (* (pow x 2) (+ (* -4 (pow y 4)) (* 2 (* (pow x 2) (pow y 2)))))) (pow x 6))
(/ (+ (* -8 (pow y 6)) (* (pow x 2) (+ (* -4 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -2 (pow y 2))))))) (pow x 6))
(/ (pow y 4) (pow x 4))
(* 4 (/ (pow y 4) (pow x 4)))
(/ (+ (* 2 (* (pow x 2) (pow y 2))) (* 4 (pow y 4))) (pow x 4))
(/ (+ (* 4 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -2 (pow y 2))))) (pow x 4))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ (+ (* -1 (pow x 4)) (* 4 (pow y 4))) (pow x 4))
(/ (pow y 2) (pow x 2))
(/ (pow y 6) (pow x 6))
(pow x 2)
1
(- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* 4 (/ (* (pow y 2) (- (* 2 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2)))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 4)) (+ (* 4 (* (pow y 2) (- (* 2 (pow y 2)) (* 4 (pow y 2))))) (* 4 (pow y 4))))) (pow x 6))) (+ (* 4 (/ (* (pow y 2) (- (* 2 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (+ (* 4 (/ (* (pow y 4) (- (* 2 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))))
(+ 1 (* 2 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -4 (/ (pow y 4) (pow x 4)))) (* -2 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (* -4 (/ (pow y 4) (pow x 4))))) (* -2 (/ (pow y 2) (pow x 2))))
(* -4 (/ (pow y 4) (pow x 4)))
(/ (+ (* -8 (/ (pow y 6) (pow x 2))) (* -4 (pow y 4))) (pow x 4))
(- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* -2 (/ (pow y 2) (pow x 2))))
(+ 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 (* -1 (/ (+ (* -4 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 4)) (* 4 (pow y 4)))) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(- (* 4 (/ (pow y 4) (pow x 4))) 1)
(- (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) (pow x 4))) (* -1 (/ (pow y 2) (pow x 2))))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* (pow y 4) (- (* -1 (pow y 2)) (pow y 2))) (pow x 6)))) (+ (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) (pow x 4)) (/ (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))))
(+ 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 y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* (pow y 4) (- (* -8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4)))))
(+ 1 (* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (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))
(/ 2 (pow y 2))
(pow y 2)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 4))))))
(* (pow y 2) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (pow y 6))) (+ (* 1/2 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 4))))))
(* -1 (* (pow y 6) (+ (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (/ 2 (* (pow x 2) (pow y 4))) (+ (* 8 (/ 1 (pow x 6))) (/ 4 (* (pow x 4) (pow y 2))))))
(* (pow y 6) (- (+ (* 2 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 8 (/ 1 (pow x 6))) (/ 4 (* (pow x 4) (pow y 2))))))
(* -1 (* (pow y 6) (+ (* 4 (/ 1 (* (pow x 4) (pow y 2)))) (* 8 (/ 1 (pow x 6))))))
(* (pow y 4) (+ (* 2 (/ 1 (* (pow x 2) (pow y 2)))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* 4 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 2 (* (pow x 2) (pow y 2))))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ (* (pow x 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow x 2)))))))
(* (pow y 4) (- (* 4 (/ 1 (pow x 4))) (/ 1 (pow y 4))))
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4))) (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (/ (* (pow x 4) (- (pow x 2) (* -1 (pow x 2)))) (pow y 6)) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4)))))
(- (* -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)

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

rewrite217.0ms (2.9%)

Memory

-2.6MiB live, 276.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	380
0	70	332
1	327	290
2	2772	290
0	8805	280

Stop Event

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

Counts

18 → 804

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #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 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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 -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))))
(.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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)))) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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)))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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 -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 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 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #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 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
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(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #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)))))
(.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 y y))
(.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 y y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 y y))
(*.f64 (/.f64 y x) (/.f64 y x))
(.f64 (.f64 y y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 y y) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 x y)))
(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 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -6 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -6 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -5 binary64)) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (/.f64 y x) (pow.f64 (/.f64 x y) #s(literal -5 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal -3 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -6 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -4 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(pow.f64 (*.f64 (/.f64 x y) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal -2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 x y)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 x y) #s(literal -6 binary64))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64))) (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal -2 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal -2 binary64) (*.f64 (log.f64 (/.f64 x y)) #s(literal -4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -4 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal -2 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -6 binary64)))
(*.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)))

eval216.0ms (2.9%)

Memory: 15.8MiB live, 319.2MiB allocated
Compiler: Compiled 71 644 to 4 560 computations (93.6% saved)

prune29.0ms (0.4%)

Memory

3.7MiB live, 119.0MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 077	6	1 083
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	1 080	13	1 093

Accuracy

99.8%

Counts

1 093 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.5%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	69.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	26.2%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	60.1%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
	33.9%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))))
✓	35.8%	#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)))
	34.5%	#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 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))
	33.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
	14.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -12 binary64)) #s(literal 64 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
	33.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal -4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal -8 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
	33.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 #s(approx (- (* (* 4 (pow (pow (/ x y) -2) 2)) (+ (* -2 (pow (/ x y) -2)) -1)) (* (+ (* -2 (pow (/ x y) -2)) -1) 1)) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
✓	33.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 222 to 397 computations (67.5% saved)

regimes50.0ms (0.7%)

Memory

-22.3MiB live, 25.3MiB allocated

Counts

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

Outputs

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

(/.f64 (*.f64 (-.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))

Calls

3 calls:

38.0ms	y
6.0ms	x
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
83.7%	2	`x`
93.6%	3	`y`
91.5%	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)

regimes6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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 (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))

Outputs

(/.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 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.1%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
87.0%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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 (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
66.8%	1	`x`
66.8%	1	`y`
66.8%	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)

bsearch46.0ms (0.6%)

Memory

-15.6MiB live, 24.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.0064079946394297e-13	2.667372320859623e-10
43.0ms	2.4300797315627852e-163	1.980827179121441e-161

Samples

39.0ms

128×

valid

Compiler

Compiled 329 to 217 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (41.1% of total)

ival-sub: 1.0ms (20.5% of total)

ival-div: 1.0ms (20.5% of total)

ival-add: 1.0ms (20.5% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999777172	0.7323487914535476

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999777172	0.7323487914535476

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999777172	0.7323487914535476

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999777172	0.7323487914535476

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify69.0ms (0.9%)

Memory

14.1MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	413
1	70	413
2	97	413
3	166	413
4	294	413
5	588	413
6	1549	413
7	4334	413

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 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))) #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)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #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 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 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))) #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)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #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))

soundness724.0ms (9.7%)

Memory

-34.8MiB live, 379.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	539
1	601	456
2	2005	415
0	8023	386
0	9	41
0	16	41
1	66	41
2	551	41
0	8259	39
0	25	140
0	35	134
1	115	134
2	801	134
0	9057	134

Stop Event

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

Compiler

Compiled 599 to 131 computations (78.1% saved)

preprocess84.0ms (1.1%)

Memory: 31.1MiB live, 104.8MiB allocated
Remove: (abs x)
Compiler: Compiled 1 394 to 340 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample2.4s (31.8%)

explain118.0ms (1.6%)

preprocess345.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify253.0ms (3.4%)

localize27.0ms (0.4%)

series8.0ms (0.1%)

simplify158.0ms (2.1%)

rewrite138.0ms (1.9%)

eval94.0ms (1.3%)

prune40.0ms (0.5%)

simplify142.0ms (1.9%)

localize39.0ms (0.5%)

series5.0ms (0.1%)

simplify135.0ms (1.8%)

rewrite200.0ms (2.7%)

eval174.0ms (2.3%)

prune22.0ms (0.3%)

simplify155.0ms (2.1%)

localize78.0ms (1.1%)

series13.0ms (0.2%)

simplify210.0ms (2.8%)

rewrite199.0ms (2.7%)

eval119.0ms (1.6%)

prune42.0ms (0.6%)

simplify222.0ms (3%)

localize122.0ms (1.6%)

series336.0ms (4.5%)

simplify217.0ms (2.9%)

rewrite217.0ms (2.9%)

eval216.0ms (2.9%)

prune29.0ms (0.4%)

regimes50.0ms (0.7%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch46.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify69.0ms (0.9%)

soundness724.0ms (9.7%)

preprocess84.0ms (1.1%)

end0.0ms (0%)

Profiling