Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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)

sample3.3s (38%)

Memory

4.0MiB live, 1 705.6MiB allocated

Samples

1.7s

8 256×

valid

Precisions

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

ival-sub: 558.0ms (51.3% of total)

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

ival-<: 151.0ms (13.9% of total)

ival-add: 108.0ms (9.9% of total)

ival-div: 51.0ms (4.7% of total)

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

exact: 12.0ms (1.1% of total)

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

Bogosity

explain108.0ms (1.2%)

Memory

7.0MiB live, 243.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	39
↳	`(*.f64 y y)`	overflow	39
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	39
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	35	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	35
↳	`(*.f64 y y)`	underflow	64
↳	`(*.f64 x x)`	underflow	122
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	35

Confusion

	Predicted +	Predicted -
+	74	0
-	0	182

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	0	0	182

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

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

ival-mult: 10.0ms (47.5% of total)

ival-add: 5.0ms (23.7% of total)

ival-sub: 3.0ms (14.2% of total)

ival-div: 3.0ms (14.2% of total)

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

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

preprocess345.0ms (3.9%)

Memory

24.9MiB live, 220.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	94	83
2	301	75
3	871	75
4	2372	75
5	4994	75
6	5675	75
7	6112	75
8	6413	75
9	6486	75
10	7002	75
0	9	15
0	16	15
1	29	15
2	55	15
3	125	15
4	250	15
5	535	15
6	1282	15
7	3131	15
8	5388	15
9	6909	15
10	7461	15
11	7692	15
12	7788	15
13	7797	15
14	7797	15
15	7855	15
16	7859	15
17	7859	15
18	7859	15
0	8085	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify302.0ms (3.4%)

Memory

-27.1MiB live, 218.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	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 (0.3%)

Memory

23.7MiB live, 62.9MiB 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	18.31731362720618	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

18.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

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

ival-mult: 4.0ms (36.1% of total)

ival-sub: 2.0ms (18.1% of total)

ival-div: 2.0ms (18.1% of total)

ival-add: 2.0ms (18.1% of total)

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

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

series9.0ms (0.1%)

Memory

-14.8MiB live, 24.3MiB allocated

Counts

5 → 44

Calls

Call 1

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

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

Calls

6 calls:

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

simplify150.0ms (1.7%)

Memory

14.5MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	507
1	568	424
2	1925	383
3	7806	383
0	8795	358

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite169.0ms (1.9%)

Memory

-6.8MiB live, 202.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	66	35
2	551	35
0	8259	33

Stop Event

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

Counts

5 → 696

Calls

Call 1

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

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

eval80.0ms (0.9%)

Memory: 6.6MiB live, 164.8MiB allocated
Compiler: Compiled 21 832 to 2 127 computations (90.3% saved)

prune19.0ms (0.2%)

Memory

-33.8MiB live, 41.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	709	9	718
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	710	9	719

Accuracy

99.3%

Counts

719 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	48.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	24.4%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
	71.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	71.2%	(.f64 (neg.f64 (-.f64 x y)) (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
▶	30.1%	#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)))
▶	72.9%	#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)))
	28.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	71.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 338 to 204 computations (39.6% saved)

simplify129.0ms (1.5%)

Memory

36.8MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	49	201
1	84	201
2	151	201
3	283	201
4	466	201
5	877	201
6	1938	201
7	4953	201
0	8192	201

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

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

localize78.0ms (0.9%)

Memory

-8.2MiB live, 112.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	18.31731362720618	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.185878759768442	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	44.72552441984343	#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 y y)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	14.166458112720317	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	18.31731362720618	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	18.26812205126831	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.0859375	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 (/.f64 x y) x)
accuracy	17.34366440486399	#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)))

Samples

61.0ms

256×

valid

Compiler

Compiled 180 to 27 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 26.0ms (56.1% of total)

ival-mult: 11.0ms (23.8% of total)

ival-add: 7.0ms (15.1% of total)

ival-sub: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-12.4MiB live, 25.3MiB allocated

Counts

18 → 61

Calls

Call 1

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

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

Calls

6 calls:

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

simplify121.0ms (1.4%)

Memory

0.9MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	622
1	625	528
2	2051	484
0	8324	454

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

Calls

Call 1

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

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

rewrite147.0ms (1.7%)

Memory

26.3MiB live, 179.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	171
0	49	166
1	184	166
2	1400	164
0	8235	162

Stop Event

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

Counts

18 → 592

Calls

Call 1

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

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

eval103.0ms (1.2%)

Memory: -6.0MiB live, 185.8MiB allocated
Compiler: Compiled 28 564 to 2 338 computations (91.8% saved)

prune19.0ms (0.2%)

Memory

18.9MiB live, 58.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	860	5	865
Fresh	1	3	4
Picked	1	4	5
Done	0	0	0
Total	862	12	874

Accuracy

99.3%

Counts

874 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	24.4%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
▶	71.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	49.2%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
	71.2%	(.f64 (neg.f64 (-.f64 x y)) (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
✓	30.1%	#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)))
✓	72.9%	#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)))
▶	72.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	28.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
▶	28.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	71.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 441 to 261 computations (40.8% saved)

simplify103.0ms (1.2%)

Memory

-11.2MiB live, 111.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
cost-diff	1	(-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
cost-diff	2	(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	2	(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
cost-diff	1	(.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
cost-diff	3	(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	324
0	70	315
1	114	304
2	213	290
3	570	290
4	1417	290
5	4874	290
6	6998	290
0	8062	287

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

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

localize165.0ms (1.9%)

Memory

7.2MiB live, 168.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.12566376953688402	(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	0.27962875976844204	(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy	38.92506451751753	(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
accuracy	44.72552441984343	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.21875	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
accuracy	17.53798835428539	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	18.31731362720618	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
accuracy	39.53203775098419	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	46.05077281994489	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.0859375	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 (/.f64 x y) x)
accuracy	5.565182867633096	(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
accuracy	17.34366440486399	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))

Samples

139.0ms

256×

valid

Compiler

Compiled 282 to 43 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 48.0ms (57.1% of total)

ival-div: 9.0ms (10.7% of total)

ival-add: 8.0ms (9.5% of total)

ival-pow2: 5.0ms (5.9% of total)

ival-sub: 4.0ms (4.8% of total)

ival-exp: 3.0ms (3.6% of total)

ival-log: 3.0ms (3.6% of total)

ival-pow: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series101.0ms (1.1%)

Memory

7.9MiB live, 121.1MiB allocated

Counts

19 → 89

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* (/ x y) x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (pow (pow (/ y x) 2) 3) (pow (pow (/ y x) 2) 2) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ x y) x) (/ (+ (* -8 (pow (pow (/ y x) 2) 3)) 1) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2)))) (pow (/ y x) 2))
17.0ms	x	@	0	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* (/ x y) x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (pow (pow (/ y x) 2) 3) (pow (pow (/ y x) 2) 2) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ x y) x) (/ (+ (* -8 (pow (pow (/ y x) 2) 3)) 1) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2)))) (pow (/ y x) 2))
15.0ms	y	@	-inf	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* (/ x y) x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (pow (pow (/ y x) 2) 3) (pow (pow (/ y x) 2) 2) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ x y) x) (/ (+ (* -8 (pow (pow (/ y x) 2) 3)) 1) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2)))) (pow (/ y x) 2))
15.0ms	y	@	inf	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* (/ x y) x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (pow (pow (/ y x) 2) 3) (pow (pow (/ y x) 2) 2) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ x y) x) (/ (+ (* -8 (pow (pow (/ y x) 2) 3)) 1) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2)))) (pow (/ y x) 2))
4.0ms	x	@	inf	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* (/ x y) x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (pow (pow (/ y x) 2) 3) (pow (pow (/ y x) 2) 2) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ x y) x) (/ (+ (* -8 (pow (pow (/ y x) 2) 3)) 1) (- (+ (* 4 (pow (pow (/ y x) 2) 2)) 1) (* -2 (pow (/ y x) 2)))) (pow (/ y x) 2))

simplify157.0ms (1.8%)

Memory

-14.5MiB live, 138.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	1216
1	1087	1064
2	3343	956
0	8306	905

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

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

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

rewrite221.0ms (2.5%)

Memory

-1.2MiB live, 230.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	255
0	70	232
1	266	231
2	2031	229
0	8335	224

Stop Event

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

Counts

19 → 755

Calls

Call 1

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

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

eval250.0ms (2.9%)

Memory: -16.7MiB live, 239.3MiB allocated
Compiler: Compiled 42 194 to 4 083 computations (90.3% saved)

prune25.0ms (0.3%)

Memory

31.8MiB live, 71.1MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 046	3	1 049
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	1 049	12	1 061

Accuracy

99.3%

Counts

1 061 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	24.4%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	71.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	49.2%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
▶	71.2%	(.f64 (neg.f64 (-.f64 x y)) (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
▶	27.6%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
▶	71.5%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
✓	30.1%	#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)))
✓	72.9%	#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)))
✓	28.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	71.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 382 to 225 computations (41.1% saved)

simplify173.0ms (2%)

Memory

-1.2MiB live, 153.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	440
0	83	438
1	142	438
2	331	434
3	984	433
4	3760	433
5	7085	433
0	8112	425

Stop Event

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

Calls

Call 1

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

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

localize260.0ms (3%)

Memory

7.9MiB live, 208.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(fma.f64 (neg.f64 y) (/.f64 y x) y)
accuracy	0.21875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
accuracy	0.24580004884221007	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	46.293068344488134	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x))
accuracy	0.0	(neg.f64 (-.f64 x y))
accuracy	0.140625	(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
accuracy	0.21875	(.f64 (neg.f64 (-.f64 x y)) (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
accuracy	17.730756915794238	(.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))))
accuracy	0.0	(neg.f64 y)
accuracy	0.0078125	(fma.f64 x x (*.f64 (neg.f64 y) y))
accuracy	14.166458112720317	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	18.31731362720618	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.21875	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
accuracy	14.166458112720317	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	17.53798835428539	(/.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	0.0859375	(fma.f64 (neg.f64 x) (/.f64 x y) x)
accuracy	0.21875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
accuracy	0.2881813965266303	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	18.12362506286345	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))

Samples

187.0ms

256×

valid

Compiler

Compiled 363 to 40 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-add: 75.0ms (45.3% of total)

ival-div: 48.0ms (29% of total)

ival-mult: 31.0ms (18.7% of total)

ival-pow: 5.0ms (3% of total)

ival-sub: 4.0ms (2.4% of total)

ival-neg: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.8%)

Memory

-41.4MiB live, 69.0MiB allocated

Counts

27 → 180

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x))))) (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x)))) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (* y y) (+ (* x x) (* y y)) (/ -1 (+ (* y y) (* x x))) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y))
8.0ms	y	@	inf	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x))))) (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x)))) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (* y y) (+ (* x x) (* y y)) (/ -1 (+ (* y y) (* x x))) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y))
5.0ms	x	@	inf	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x))))) (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x)))) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (* y y) (+ (* x x) (* y y)) (/ -1 (+ (* y y) (* x x))) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y))
4.0ms	y	@	0	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x))))) (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x)))) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (* y y) (+ (* x x) (* y y)) (/ -1 (+ (* y y) (* x x))) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y))
4.0ms	y	@	-inf	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x))))) (neg (- x y)) (* (+ y x) (/ -1 (+ (* y y) (* x x)))) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (* y y) (+ (* x x) (* y y)) (/ -1 (+ (* y y) (* x x))) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y))

simplify165.0ms (1.9%)

Memory

7.1MiB live, 160.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	2847
1	1882	2624
2	6159	2450
0	8585	2372

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

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

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

rewrite220.0ms (2.5%)

Memory

16.3MiB live, 250.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	359
0	83	357
1	323	353
2	3013	353
0	8258	353

Stop Event

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

Counts

27 → 910

Calls

Call 1

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

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

eval287.0ms (3.3%)

Memory: -32.1MiB live, 287.4MiB allocated
Compiler: Compiled 43 026 to 4 566 computations (89.4% saved)

prune53.0ms (0.6%)

Memory

24.6MiB live, 72.3MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1 098	7	1 105
Fresh	0	0	0
Picked	5	0	5
Done	1	6	7
Total	1 104	13	1 117

Accuracy

99.3%

Counts

1 117 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	71.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	25.1%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x))) (-.f64 x y))
	27.6%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) (neg.f64 y) y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)))
	71.5%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
	71.5%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 y) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
	66.3%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) #s(literal -1 binary64)))) (-.f64 x y))
	71.2%	(.f64 #s(approx (neg (- x y)) (-.f64 y x)) (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
	63.7%	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	30.1%	#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)))
✓	72.9%	#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)))
✓	28.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	71.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 950 to 336 computations (64.6% saved)

regimes23.0ms (0.3%)

Memory

8.2MiB live, 44.2MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
86.5%	2	`x`
93.4%	4	`y`
95.1%	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)

regimes9.0ms (0.1%)

Memory

-19.1MiB live, 15.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
95.1%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.7%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.4%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes37.0ms (0.4%)

Memory

-26.8MiB live, 9.6MiB 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 x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x x (.f64 (neg.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)))

Outputs

#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)))

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

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

Calls

1 calls:

36.0ms

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

Results

Accuracy	Segments	Branch
94.3%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.3MiB 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 x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #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
93.6%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.5%	1	`x`
71.5%	1	`y`
71.5%	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)

bsearch26.0ms (0.3%)

Memory

-49.8MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999689845397614	0.9471720187064864

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999689845397614	0.9471720187064864

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999689845397614	0.9471720187064864

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999689845397614	0.9471720187064864

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999689845397614	0.9471720187064864

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999689845397614	0.9471720187064864

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify70.0ms (0.8%)

Memory

34.6MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	688
1	93	688
2	122	688
3	195	688
4	320	688
5	615	688
6	1579	688
7	4366	688

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.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 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x 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))))
(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 (/.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 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (or (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (not (<=.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 (/.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))))
(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 (/.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 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (or (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (not (<=.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 (/.f64 x y) x) #s(literal -1 binary64))) (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

soundness1.1s (12.1%)

Memory

-20.8MiB live, 618.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	507
1	568	424
2	1925	383
3	7806	383
0	8795	358
0	9	35
0	16	35
1	66	35
2	551	35
0	8259	33
0	202	622
1	625	528
2	2051	484
0	8324	454
0	33	171
0	49	166
1	184	166
2	1400	164
0	8235	162

Stop Event

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

Compiler

Compiled 1 135 to 274 computations (75.9% saved)

preprocess115.0ms (1.3%)

Memory: -3.0MiB live, 116.6MiB allocated
Remove: (abs x)
Compiler: Compiled 1 926 to 384 computations (80.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample3.3s (38%)

explain108.0ms (1.2%)

preprocess345.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify302.0ms (3.4%)

localize25.0ms (0.3%)

series9.0ms (0.1%)

simplify150.0ms (1.7%)

rewrite169.0ms (1.9%)

eval80.0ms (0.9%)

prune19.0ms (0.2%)

simplify129.0ms (1.5%)

localize78.0ms (0.9%)

series18.0ms (0.2%)

simplify121.0ms (1.4%)

rewrite147.0ms (1.7%)

eval103.0ms (1.2%)

prune19.0ms (0.2%)

simplify103.0ms (1.2%)

localize165.0ms (1.9%)

series101.0ms (1.1%)

simplify157.0ms (1.8%)

rewrite221.0ms (2.5%)

eval250.0ms (2.9%)

prune25.0ms (0.3%)

simplify173.0ms (2%)

localize260.0ms (3%)

series67.0ms (0.8%)

simplify165.0ms (1.9%)

rewrite220.0ms (2.5%)

eval287.0ms (3.3%)

prune53.0ms (0.6%)

regimes23.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes37.0ms (0.4%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch26.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify70.0ms (0.8%)

soundness1.1s (12.1%)

preprocess115.0ms (1.3%)

end0.0ms (0%)

Profiling