Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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)

sample973.0ms (15.2%)

Memory

33.9MiB live, 2 126.9MiB allocated

Samples

643.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-mult: 164.0ms (36.5% of total)

ival-add: 82.0ms (18.3% of total)

ival-<: 68.0ms (15.2% of total)

ival-div: 52.0ms (11.6% of total)

ival-sub: 51.0ms (11.4% of total)

ival-and: 18.0ms (4% of total)

exact: 11.0ms (2.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain106.0ms (1.7%)

Memory

-1.4MiB live, 239.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
72	-	-	`(/.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	37	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	37
↳	`(*.f64 y y)`	overflow	37
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	37
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	35	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	35
↳	`(*.f64 y y)`	underflow	79
↳	`(*.f64 x x)`	underflow	119
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	35

Confusion

	Predicted +	Predicted -
+	72	0
-	0	184

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	0	0	184

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

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

ival-mult: 10.0ms (46.7% of total)

ival-add: 5.0ms (23.3% of total)

ival-sub: 3.0ms (14% of total)

ival-div: 3.0ms (14% of total)

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

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

preprocess400.0ms (6.2%)

Memory

-29.9MiB live, 227.1MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify261.0ms (4.1%)

Memory

18.4MiB live, 172.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	29	43
2	55	43
3	125	43
4	250	43
5	535	43
6	1282	43
7	3131	43
8	5388	43
9	6909	43
10	7461	43
11	7692	43
12	7788	43
13	7797	43
14	7797	43
15	7855	43
16	7859	43
17	7859	43
18	7859	43
0	8085	41

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-1.8MiB live, 36.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	17.769454947448548	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

18.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (35.4% of total)

ival-add: 3.0ms (26.5% of total)

ival-sub: 2.0ms (17.7% of total)

ival-div: 2.0ms (17.7% of total)

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

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

series8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

6 → 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)

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))
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))
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))
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))
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))

simplify118.0ms (1.8%)

Memory

-9.7MiB live, 143.6MiB 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)

rewrite144.0ms (2.2%)

Memory

23.0MiB live, 175.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	66	38
2	551	38
0	8259	36

Stop Event

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

Counts

6 → 824

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)

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

eval120.0ms (1.9%)

Memory: -10.4MiB live, 183.0MiB allocated
Compiler: Compiled 26 092 to 2 599 computations (90% saved)

prune16.0ms (0.2%)

Memory

0.8MiB live, 46.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	841	8	849
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	842	8	850

Accuracy

99.8%

Counts

850 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
▶	46.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	27.8%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	71.9%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	65.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 304 to 182 computations (40.1% saved)

simplify152.0ms (2.4%)

Memory

22.5MiB live, 173.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	192
0	45	192
1	84	192
2	141	192
3	275	192
4	513	192
5	1077	192
6	2423	192
7	5620	192
0	8360	192

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

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

localize56.0ms (0.9%)

Memory

16.1MiB live, 90.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.1640625	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
accuracy	17.39770590473186	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.1796875	(*.f64 (/.f64 x y) x)
accuracy	20.985454883003467	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	16.260652482440282	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	17.769454947448548	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	21.98378147450523	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	17.769454947448548	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))

Samples

37.0ms

256×

valid

Compiler

Compiled 379 to 52 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 9.0ms (38% of total)

ival-div: 7.0ms (29.6% of total)

ival-add: 6.0ms (25.3% of total)

ival-sub: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-8.6MiB live, 28.5MiB allocated

Counts

18 → 75

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (* x x) (+ y x))
3.0ms	y	@	0	((/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (* x x) (+ y x))
2.0ms	y	@	-inf	((/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (* x x) (+ y x))
2.0ms	y	@	inf	((/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (* x x) (+ y x))
2.0ms	x	@	-inf	((/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (* x x) (+ y x))

simplify186.0ms (2.9%)

Memory

-5.0MiB live, 211.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	887
1	850	779
2	2626	713
0	8256	674

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 73

Calls

Call 1

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

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

rewrite229.0ms (3.6%)

Memory

7.7MiB live, 281.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	159
0	45	159
1	175	159
2	1451	159
0	8379	159

Stop Event

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

Counts

18 → 1 459

Calls

Call 1

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

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

eval426.0ms (6.6%)

Memory: -0.1MiB live, 305.5MiB allocated
Compiler: Compiled 51 605 to 3 916 computations (92.4% saved)

prune48.0ms (0.7%)

Memory

3.3MiB live, 95.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 548	3	1 551
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	1 549	10	1 559

Accuracy

99.8%

Counts

1 559 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	46.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	27.8%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
✓	71.9%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
▶	34.0%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) (+.f64 y x))
▶	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	59.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
▶	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	65.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 336 to 202 computations (39.9% saved)

simplify192.0ms (3%)

Memory

3.7MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x))
cost-diff	0	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) (+.f64 y x))
cost-diff	6336	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) y) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x x (*.f64 y y))
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 x x (.f64 y y)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	296
0	60	294
1	122	292
2	242	292
3	543	292
4	1144	292
5	2431	292
6	5759	288
0	8085	282

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.3%)

Memory

4.1MiB live, 112.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) (+.f64 y x))
accuracy	0.25331884768442015	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	8.781250000000002	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	42.071018915465366	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.10384750976844201	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	40.7239112044512	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	17.769454947448548	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
accuracy	36.989848317524455	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	41.95219167654096	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.32295015312542374	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	14.160709136557514	(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy	20.985454883003467	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 534 to 74 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 13.0ms (35.3% of total)

ival-div: 9.0ms (24.5% of total)

ival-add: 9.0ms (24.5% of total)

ival-sub: 3.0ms (8.2% of total)

ival-pow: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

series77.0ms (1.2%)

Memory

-27.4MiB live, 25.5MiB allocated

Counts

19 → 95

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (pow (/ y x) 3))
4.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (pow (/ y x) 3))
4.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (pow (/ y x) 3))
3.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (pow (/ y x) 3))
3.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (pow (/ y x) 3))

simplify172.0ms (2.7%)

Memory

1.3MiB live, 194.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	1443
1	1087	1302
2	3436	1214
0	8204	1162

Stop Event

1×	iter limit
1×	node limit

Counts

95 → 95

Calls

Call 1

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

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

rewrite299.0ms (4.7%)

Memory

-2.9MiB live, 309.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	252
0	60	248
1	271	242
2	2381	240
0	9242	236

Stop Event

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

Counts

19 → 528

Calls

Call 1

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

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

eval139.0ms (2.2%)

Memory: -3.8MiB live, 189.7MiB allocated
Compiler: Compiled 26 778 to 2 941 computations (89% saved)

prune33.0ms (0.5%)

Memory

14.0MiB live, 48.9MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	684	3	687
Fresh	0	0	0
Picked	2	3	5
Done	1	4	5
Total	687	10	697

Accuracy

99.8%

Counts

697 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	71.9%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
✓	34.0%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) (+.f64 y x))
▶	31.5%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))) (+.f64 y x))
✓	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	28.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	61.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	65.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 238 to 143 computations (39.9% saved)

simplify140.0ms (2.2%)

Memory

-16.0MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))) (+.f64 y x))
cost-diff	192	(*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
cost-diff	6592	(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 y (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	302
0	60	296
1	122	295
2	232	295
3	486	295
4	918	289
5	2262	289
6	6365	282
0	8216	278

Stop Event

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

Calls

Call 1

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

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

localize224.0ms (3.5%)

Memory

-4.2MiB live, 207.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	2.37499136242133	(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
accuracy	8.781250000000002	(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	34.40545121660698	(log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
accuracy	42.071018915465366	#s(approx (/ (- x y) (+ (* y y) (* x x))) (exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	3.574813985739072	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
accuracy	9.492578585982603	(/.f64 y (*.f64 x x))
accuracy	40.7239112044512	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
accuracy	0.01171875	(.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64))
accuracy	4.916968107454574	(fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy	8.576588035240722	(/.f64 x (*.f64 y y))
accuracy	20.985454883003467	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))

Samples

127.0ms

256×

valid

Compiler

Compiled 545 to 76 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-log: 26.0ms (27.3% of total)

ival-sub: 23.0ms (24.2% of total)

ival-div: 17.0ms (17.9% of total)

ival-mult: 14.0ms (14.7% of total)

ival-add: 9.0ms (9.5% of total)

ival-exp: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series24.0ms (0.4%)

Memory

7.9MiB live, 43.0MiB allocated

Counts

14 → 125

Calls

Call 1

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

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 (/ x (pow y 2)))
(/ x (pow y 2))
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(/ y (pow x 2))
(/ (pow y 3) (pow x 4))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 4))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 4))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 4))
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 3))
(* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x))))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* -1 (/ x y)))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* x (- (* -3/2 (/ x (pow y 2))) (/ 1 y))))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 3/2 (/ 1 (pow y 2))))) (/ 1 y))))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (log (/ 1 (pow y 3))) (* 4 (log x)))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (/ x y)))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (* x (+ (* 3/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 3/2 (/ 1 (pow y 2))))) (/ 1 y)))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) x)
(+ 1 (* -1 (/ y x)))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3)))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ y x)))
(+ (log (/ 1 x)) (+ (* -1 (/ y x)) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2))) (* -1/6 (/ (+ (* -12 (pow y 3)) (+ (* -6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 2 (pow y 3)))) (pow x 3))))))
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ y x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2))) (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -12 (pow y 3)) (+ (* -6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 2 (pow y 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 4 (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 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ y x)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ y (* 1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) x))) x)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 4 (pow y 2)))) (* 1/6 (/ (+ (* -2 (pow y 3)) (+ (* 6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 12 (pow y 3)))) x))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow y 3)) (+ (* 6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 12 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 4 (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))))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(* -2 y)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ 1 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))))
(+ 1 (* y (- (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
(* -1 (log x))
(+ (* -1 (log x)) (* -1 (/ y x)))
(+ (* -1 (log x)) (* y (- (* -3/2 (/ y (pow x 2))) (/ 1 x))))
(+ (* -1 (log x)) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 3/2 (/ 1 (pow x 2))))) (/ 1 x))))
(log x)
(+ (log x) (/ y x))
(+ (log x) (* y (+ (* 3/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (+ (* y (+ (* 1/3 (/ y (pow x 3))) (* 3/2 (/ 1 (pow x 2))))) (/ 1 x))))
(- (+ (* -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 3) (- (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 4))))
(* (pow y 3) (- (+ (/ 1 (* x (pow y 3))) (/ 1 (pow x 4))) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y)))))
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(* (pow y 3) (- (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))
(* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y)))))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (* -1 (/ x y)))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2)))))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ (* -12 (pow x 3)) (+ (* -6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 2 (pow x 3)))) (pow y 3))))))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(+ (log (pow x 4)) (* 3 (log (/ 1 y))))
(+ (log (pow x 4)) (+ (* 3 (log (/ 1 y))) (/ x y)))
(+ (log (pow x 4)) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (+ (* 3 (log (/ 1 y))) (/ x y))))
(+ (log (pow x 4)) (+ (* 1/6 (/ (+ (* -12 (pow x 3)) (+ (* -6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 2 (pow x 3)))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (+ (* 3 (log (/ 1 y))) (/ x y)))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 4)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (/ 1 (pow x 4)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* x y))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 4)))))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3)))))
(* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y)))))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ x y)))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) y))) y)))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (* 1/6 (/ (+ (* -2 (pow x 3)) (+ (* 6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 12 (pow x 3)))) y))) y))) y)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))
(+ (log (* -1 (pow x 4))) (+ (* 3 (log (/ -1 y))) (/ x y)))
(+ (log (* -1 (pow x 4))) (+ (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) y))) y)) (* 3 (log (/ -1 y)))))
(+ (log (* -1 (pow x 4))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow x 3)) (+ (* 6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 12 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y))) y)) (* 3 (log (/ -1 y)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (* (/ x (* y y)) 2)) -1) (* (/ x (* y y)) 2) (/ x (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (exp (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1)) (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)) (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))))
3.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (* (/ x (* y y)) 2)) -1) (* (/ x (* y y)) 2) (/ x (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (exp (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1)) (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)) (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))))
3.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (* (/ x (* y y)) 2)) -1) (* (/ x (* y y)) 2) (/ x (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (exp (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1)) (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)) (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))))
3.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (* (/ x (* y y)) 2)) -1) (* (/ x (* y y)) 2) (/ x (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (exp (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1)) (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)) (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))))
3.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (* (/ x (* y y)) 2)) -1) (* (/ x (* y y)) 2) (/ x (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (exp (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1)) (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)) (* (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))) -1) (* (/ (- x y) (+ (* y y) (* x x))) (+ y x)) (/ (- x y) (+ (* y y) (* x x))) (log (/ x (+ (* (- -1 (/ y x)) (/ y x)) (+ (pow (/ y x) 3) 1)))))

simplify189.0ms (2.9%)

Memory

4.9MiB live, 228.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	2352
1	1644	2117
2	5350	2020
0	8474	1920

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 125

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 (/ x (pow y 2)))
(/ x (pow y 2))
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(/ y (pow x 2))
(/ (pow y 3) (pow x 4))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 4))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 4))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 4))
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 3))
(* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x))))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* -1 (/ x y)))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* x (- (* -3/2 (/ x (pow y 2))) (/ 1 y))))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 3/2 (/ 1 (pow y 2))))) (/ 1 y))))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (log (/ 1 (pow y 3))) (* 4 (log x)))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (/ x y)))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (* x (+ (* 3/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 3/2 (/ 1 (pow y 2))))) (/ 1 y)))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) x)
(+ 1 (* -1 (/ y x)))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3)))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ y x)))
(+ (log (/ 1 x)) (+ (* -1 (/ y x)) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2))) (* -1/6 (/ (+ (* -12 (pow y 3)) (+ (* -6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 2 (pow y 3)))) (pow x 3))))))
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ y x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2))) (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -12 (pow y 3)) (+ (* -6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 2 (pow y 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 4 (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 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ y x)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ y (* 1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) x))) x)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 4 (pow y 2)))) (* 1/6 (/ (+ (* -2 (pow y 3)) (+ (* 6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 12 (pow y 3)))) x))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow y 3)) (+ (* 6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 12 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 4 (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))))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(* -2 y)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
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(* -1 (log x))
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(+ (* -1 (log x)) (* y (- (* -3/2 (/ y (pow x 2))) (/ 1 x))))
(+ (* -1 (log x)) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 3/2 (/ 1 (pow x 2))))) (/ 1 x))))
(log x)
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(+ (log x) (* y (+ (* 3/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (+ (* y (+ (* 1/3 (/ y (pow x 3))) (* 3/2 (/ 1 (pow x 2))))) (/ 1 x))))
(- (+ (* -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 3) (- (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 4))))
(* (pow y 3) (- (+ (/ 1 (* x (pow y 3))) (/ 1 (pow x 4))) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y)))))
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(* (pow y 3) (- (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))
(* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y)))))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (* -1 (/ x y)))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2)))))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ (* -12 (pow x 3)) (+ (* -6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 2 (pow x 3)))) (pow y 3))))))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(+ (log (pow x 4)) (* 3 (log (/ 1 y))))
(+ (log (pow x 4)) (+ (* 3 (log (/ 1 y))) (/ x y)))
(+ (log (pow x 4)) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (+ (* 3 (log (/ 1 y))) (/ x y))))
(+ (log (pow x 4)) (+ (* 1/6 (/ (+ (* -12 (pow x 3)) (+ (* -6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 2 (pow x 3)))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (+ (* 3 (log (/ 1 y))) (/ x y)))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 4)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (/ 1 (pow x 4)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* x y))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 4)))))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3)))))
(* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y)))))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ x y)))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) y))) y)))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (* 1/6 (/ (+ (* -2 (pow x 3)) (+ (* 6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 12 (pow x 3)))) y))) y))) y)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))
(+ (log (* -1 (pow x 4))) (+ (* 3 (log (/ -1 y))) (/ x y)))
(+ (log (* -1 (pow x 4))) (+ (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) y))) y)) (* 3 (log (/ -1 y)))))
(+ (log (* -1 (pow x 4))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow x 3)) (+ (* 6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 12 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y))) y)) (* 3 (log (/ -1 y)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(* 2 (/ x (pow y 2)))
(.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -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 #s(literal -2 binary64) (.f64 y y) (.f64 x x)) x) x)
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ (pow y 3) (pow x 4))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 4))
(/.f64 (.f64 (.f64 y y) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 4))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 y (+.f64 x y)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x)) x (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 3) (pow x 3))
(pow.f64 (/.f64 y x) #s(literal 3 binary64))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/.f64 (.f64 (.f64 y y) (-.f64 y x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 y (+.f64 x y)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x)) x (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x))))
(fma.f64 #s(literal -4 binary64) (log.f64 x) (log.f64 (pow.f64 y #s(literal 3 binary64))))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* -1 (/ x y)))
(-.f64 (fma.f64 #s(literal -4 binary64) (log.f64 x) (log.f64 (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* x (- (* -3/2 (/ x (pow y 2))) (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) y) (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) x (fma.f64 #s(literal -4 binary64) (log.f64 x) (log.f64 (pow.f64 y #s(literal 3 binary64)))))
(+ (* -1 (+ (log (/ 1 (pow y 3))) (* 4 (log x)))) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 3/2 (/ 1 (pow y 2))))) (/ 1 y))))
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(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x (pow y 2)) (/ 1 y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
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(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(+ (log (/ 1 (pow y 3))) (* 4 (log x)))
(fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (log.f64 (pow.f64 y #s(literal 3 binary64)))))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (/ x y)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (/.f64 x y)) (log.f64 (pow.f64 y #s(literal 3 binary64))))
(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (* x (+ (* 3/2 (/ x (pow y 2))) (/ 1 y)))))
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(+ (log (/ 1 (pow y 3))) (+ (* 4 (log x)) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 3/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) x) x))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) x) x))
(* 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 (* -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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))
(+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(log (/ 1 x))
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(+ (log (/ 1 x)) (* -1 (/ y x)))
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(+ (log (/ 1 x)) (+ (* -1 (/ y x)) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2)))))
(-.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 y y) #s(literal -3/2 binary64)) x) y) x) (log.f64 x))
(+ (log (/ 1 x)) (+ (* -1 (/ y x)) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 4 (pow y 2))) (pow x 2))) (* -1/6 (/ (+ (* -12 (pow y 3)) (+ (* -6 (+ (* -2 (pow y 3)) (+ (* -1 (pow y 3)) (pow y 3)))) (* 2 (pow y 3)))) (pow x 3))))))
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(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)
(* -1 (log (/ 1 x)))
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(fma.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) y (/.f64 #s(literal 1 binary64) x)) y (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (log.f64 x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) x) x))
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(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
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(+ (* -1 (log x)) (* -1 (/ y x)))
(-.f64 (neg.f64 (log.f64 x)) (/.f64 y x))
(+ (* -1 (log x)) (* y (- (* -3/2 (/ y (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 y x) (/.f64 #s(literal -1 binary64) x)) y (neg.f64 (log.f64 x)))
(+ (* -1 (log x)) (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 3/2 (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (neg.f64 (log.f64 x)))
(log x)
(log.f64 x)
(+ (log x) (/ y x))
(+.f64 (/.f64 y x) (log.f64 x))
(+ (log x) (* y (+ (* 3/2 (/ y (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)) y (log.f64 x))
(+ (log x) (* y (+ (* y (+ (* 1/3 (/ y (pow x 3))) (* 3/2 (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y (log.f64 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 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 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 3) (- (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 4))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ (/ 1 (* x (pow y 3))) (/ 1 (pow x 4))) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y)))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(* (pow y 3) (- (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y))) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y)))))
(-.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) (log.f64 (pow.f64 x #s(literal 4 binary64))))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (* -1 (/ x y)))
(-.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (/.f64 x (neg.f64 y))) (log.f64 (pow.f64 x #s(literal 4 binary64))))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2)))))
(fma.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (log.f64 y) #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) y) x) y)))
(+ (* -1 (+ (log (pow x 4)) (* 3 (log (/ 1 y))))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ (* -12 (pow x 3)) (+ (* -6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 2 (pow x 3)))) (pow y 3))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -6 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) y) x) y)) (-.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (log.f64 y) #s(literal 3 binary64))))
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)
(+ (log (pow x 4)) (* 3 (log (/ 1 y))))
(-.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (log.f64 y) #s(literal 3 binary64)))
(+ (log (pow x 4)) (+ (* 3 (log (/ 1 y))) (/ x y)))
(+.f64 (-.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 x y))
(+ (log (pow x 4)) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (+ (* 3 (log (/ 1 y))) (/ x y))))
(fma.f64 (/.f64 (.f64 #s(literal 3/2 binary64) x) y) (/.f64 x y) (+.f64 (-.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 x y)))
(+ (log (pow x 4)) (+ (* 1/6 (/ (+ (* -12 (pow x 3)) (+ (* -6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 2 (pow x 3)))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) (pow y 2))) (+ (* 3 (log (/ 1 y))) (/ x y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -6 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 #s(literal 3/2 binary64) x) y) (/.f64 x y) (+.f64 (-.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 x 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 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))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 4)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* x y))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 4)))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3)))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y)))))
(neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ x y)))
(-.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x (neg.f64 y))) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) y))) y)))
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3/2 binary64)) y) x) (neg.f64 y)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(+ (* -1 (+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (* 1/6 (/ (+ (* -2 (pow x 3)) (+ (* 6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 12 (pow x 3)))) y))) y))) y)))
(-.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -3/2 binary64))) y)) (neg.f64 y)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) (neg.f64 y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y)) (neg.f64 y))
(+ (log (* -1 (pow x 4))) (* 3 (log (/ -1 y))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(+ (log (* -1 (pow x 4))) (+ (* 3 (log (/ -1 y))) (/ x y)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (+.f64 (/.f64 x y) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(+ (log (* -1 (pow x 4))) (+ (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 4 (pow x 2))) y))) y)) (* 3 (log (/ -1 y)))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) y) x) y))
(+ (log (* -1 (pow x 4))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow x 3)) (+ (* 6 (/ (+ (* -2 (pow x 7)) (+ (* -1 (pow x 7)) (pow x 7))) (pow x 4))) (* 12 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y))) y)) (* 3 (log (/ -1 y)))))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))) y) #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/2 binary64))) y) x) y) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64) (log.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))))

rewrite226.0ms (3.5%)

Memory

-15.4MiB live, 279.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	242
0	60	236
1	267	227
2	2278	224
0	8791	214

Stop Event

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

Counts

14 → 384

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 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 -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)) (pow.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -2 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)) (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #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 -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
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(neg.f64 (-.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))))
(-.f64 (log.f64 (*.f64 x #s(literal 1 binary64))) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x))))
(-.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (log.f64 x)))
(-.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(+.f64 (log.f64 (/.f64 x (-.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 3 binary64))))) (log.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x))) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (log.f64 x))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))

eval119.0ms (1.8%)

Memory: 2.7MiB live, 121.0MiB allocated
Compiler: Compiled 22 417 to 2 694 computations (88% saved)

prune41.0ms (0.6%)

Memory

-0.8MiB live, 37.5MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	485	3	488
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	486	12	498

Accuracy

99.8%

Counts

498 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	71.9%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
✓	34.0%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) (+.f64 y x))
	31.5%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))) (+.f64 y x))
	31.0%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))) #s(literal -1 binary64)))) (+.f64 y x))
	31.5%	(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (log.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))) (+.f64 y x))
✓	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
✓	28.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	61.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	34.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	65.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 857 to 292 computations (65.9% saved)

regimes16.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
(/.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 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (fma.f64 y y (.f64 x x))) (+.f64 y x))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) (+.f64 y x))
(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (log.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))) (+.f64 y x))
(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))) (+.f64 y x))
(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))) (+.f64 y x))
(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))))) #s(literal -1 binary64)))) (+.f64 y x))

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 x x (*.f64 y y)))

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

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
85.1%	2	`x`
94.3%	3	`y`
92.7%	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)

regimes25.0ms (0.4%)

Memory

-21.4MiB live, 15.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

22.0ms	y
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
91.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
93.6%	3	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.1%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
86.3%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
91.5%	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

3.5MiB live, 3.5MiB 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 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
91.4%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.1%)

Memory

-41.7MiB live, 5.7MiB 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:

5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
65.7%	1	`x`
65.7%	1	`y`
65.7%	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)

bsearch13.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.154138416045681e-34	1.4903303473831452e-32
6.0ms	3.852048102586911e-163	7.247304255434325e-163

Samples

7.0ms

112×

valid

Compiler

Compiled 298 to 196 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (45.8% of total)

ival-sub: 1.0ms (22.9% of total)

ival-div: 1.0ms (22.9% of total)

ival-add: 1.0ms (22.9% of total)

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

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.154138416045681e-34	1.4903303473831452e-32
0.0ms	3.852048102586911e-163	7.247304255434325e-163

Compiler

Compiled 298 to 196 computations (34.2% 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	-0.996491390273283	0.8867091393321526

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	-0.996491390273283	0.8867091393321526

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.996491390273283	0.8867091393321526

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch52.0ms (0.8%)

Memory

-3.6MiB live, 33.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0	NaN
36.0ms	-0.996491390273283	0.8867091393321526

Samples

31.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

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

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

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

simplify68.0ms (1.1%)

Memory

-3.7MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	551
1	88	551
2	115	551
3	184	551
4	307	551
5	601	551
6	1569	551
7	4339	551

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 5673165816829483/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 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 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal 5673165816829483/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 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 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 y #s(literal 5673165816829483/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 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 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal 5673165816829483/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 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 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

soundness875.0ms (13.6%)

Memory

-1.1MiB live, 628.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	66	38
2	551	38
0	8259	36
0	189	539
1	601	456
2	2005	415
0	8023	386
0	30	159
0	45	159
1	175	159
2	1451	159
0	8379	159
0	39	252
0	60	248
1	271	242
2	2381	240
0	9242	236

Stop Event

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

Compiler

Compiled 1 042 to 363 computations (65.2% saved)

preprocess99.0ms (1.5%)

Memory: -8.4MiB live, 77.8MiB allocated
Remove: (abs x)
Compiler: Compiled 1 692 to 402 computations (76.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.1%)

sample973.0ms (15.2%)

explain106.0ms (1.7%)

preprocess400.0ms (6.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify261.0ms (4.1%)

localize25.0ms (0.4%)

series8.0ms (0.1%)

simplify118.0ms (1.8%)

rewrite144.0ms (2.2%)

eval120.0ms (1.9%)

prune16.0ms (0.2%)

simplify152.0ms (2.4%)

localize56.0ms (0.9%)

series18.0ms (0.3%)

simplify186.0ms (2.9%)

rewrite229.0ms (3.6%)

eval426.0ms (6.6%)

prune48.0ms (0.7%)

simplify192.0ms (3%)

localize84.0ms (1.3%)

series77.0ms (1.2%)

simplify172.0ms (2.7%)

rewrite299.0ms (4.7%)

eval139.0ms (2.2%)

prune33.0ms (0.5%)

simplify140.0ms (2.2%)

localize224.0ms (3.5%)

series24.0ms (0.4%)

simplify189.0ms (2.9%)

rewrite226.0ms (3.5%)

eval119.0ms (1.8%)

prune41.0ms (0.6%)

regimes16.0ms (0.2%)

regimes25.0ms (0.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes8.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0.8%)

simplify68.0ms (1.1%)

soundness875.0ms (13.6%)

preprocess99.0ms (1.5%)

end0.0ms (0%)

Profiling