Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze6.0ms (0.1%)

Memory

17.6MiB live, 17.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.2s (17.8%)

Memory

17.6MiB live, 2 274.2MiB allocated

Samples

884.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 627.0ms

ival-mult: 236.0ms (37.6% of total)

ival-add: 147.0ms (23.5% of total)

ival-div: 95.0ms (15.2% of total)

ival-<: 63.0ms (10.1% of total)

ival-sub: 54.0ms (8.6% of total)

ival-and: 18.0ms (2.9% of total)

exact: 12.0ms (1.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain658.0ms (9.7%)

Memory

-45.4MiB live, 309.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
92	-	1	(1.996129951471585e-157 5.451495783024851e-161)	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	0	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(*.f64 y y)`
0	-	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)))`	u/u	52	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	52
↳	`(*.f64 y y)`	underflow	103
↳	`(*.f64 x x)`	underflow	133
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	52
`/.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

Confusion

	Predicted +	Predicted -
+	91	1
-	0	164

Precision

1.0

Recall

0.9891304347826086

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	1
-	0	0	164

Precision?

1.0

Recall?

0.9891304347826086

Freqs

test

number	freq
0	165
1	91

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

575.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-div: 531.0ms (96.8% of total)

ival-mult: 10.0ms (1.8% of total)

ival-add: 5.0ms (0.9% of total)

ival-sub: 3.0ms (0.5% of total)

ival-true: 1.0ms (0.2% of total)

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

preprocess508.0ms (7.5%)

Memory

-39.3MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify95.0ms (1.4%)

Memory

-6.1MiB live, 137.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

2.4MiB live, 48.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	22.49567201152719	(/.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 (35.5% of total)

ival-div: 3.0ms (26.6% of total)

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

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

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

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

series8.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

6 → 44

Calls

Call 1

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

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

Calls

6 calls:

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

simplify193.0ms (2.8%)

Memory

17.7MiB live, 247.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite52.0ms (0.8%)

Memory

-11.2MiB live, 79.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 153

Calls

Call 1

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

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

eval20.0ms (0.3%)

Memory: -4.5MiB live, 40.7MiB allocated
Compiler: Compiled 3 938 to 589 computations (85% saved)

prune6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

99.2%

Counts

182 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	28.6%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	64.7%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	41.0%	#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)))
	41.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 (/.f64 y x) (/.f64 y x))))
▶	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	61.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 294 to 168 computations (42.9% saved)

simplify135.0ms (2%)

Memory

-18.7MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	170
0	39	164
1	76	164
2	155	164
3	354	164
4	695	164
5	1439	164
6	3304	164
7	6989	164
0	8034	164

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (0.9%)

Memory

-2.7MiB live, 141.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	22.49567201152719	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	32.42599928559927	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	16.520165623771927	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	22.49567201152719	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	39.37271303759766	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	24.990924409811313	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.16796875	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
accuracy	21.81432558594628	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))

Samples

32.0ms

256×

valid

Compiler

Compiled 155 to 17 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.3% of total)

ival-add: 5.0ms (31.9% of total)

ival-div: 3.0ms (19.2% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

16 → 70

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ 1 y)
(+ (/ 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)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
(pow x 2)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (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))))))
(+ (/ 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))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ 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)
(* -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)))
(* (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
1.0ms	y	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	y	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	0	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (* y y))

simplify158.0ms (2.3%)

Memory

-25.4MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	852
1	899	726
2	3376	697
0	8270	672

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

Calls

Call 1

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

rewrite167.0ms (2.4%)

Memory

16.8MiB live, 264.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	153
0	39	147
1	130	147
2	1059	147
0	9324	147

Stop Event

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

Counts

16 → 1 007

Calls

Call 1

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

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

eval204.0ms (3%)

Memory: -12.1MiB live, 307.3MiB allocated
Compiler: Compiled 31 191 to 3 024 computations (90.3% saved)

prune24.0ms (0.3%)

Memory

26.6MiB live, 85.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	888	6	894
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	889	12	901

Accuracy

99.6%

Counts

901 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	37.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	28.6%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
✓	64.7%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	60.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)) (-.f64 x y))
▶	62.1%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
▶	38.7%	(.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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
	61.1%	(.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))
▶	41.0%	#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)))
▶	41.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 (/.f64 y x) (/.f64 y x))))
✓	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	61.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 505 to 285 computations (43.6% saved)

simplify209.0ms (3.1%)

Memory

-3.1MiB live, 231.3MiB 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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 (/.f64 y x) (/.f64 y x))))
cost-diff	2	(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64))
cost-diff	7	(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 (/.f64 y x) (/.f64 y x)))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) y) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	381
0	70	357
1	147	357
2	341	357
3	977	357
4	3417	357
0	8197	353

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

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

localize145.0ms (2.1%)

Memory

-7.5MiB live, 194.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(*.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	0.16796875	(.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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
accuracy	0.3041000976844202	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	39.1360808120166	#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 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x))
accuracy	0.0	(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64))
accuracy	0.0234375	(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 (/.f64 y x) (/.f64 y x)))
accuracy	0.281913769536884	(*.f64 (/.f64 y x) (/.f64 y x))
accuracy	37.75626261716101	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 (/.f64 y x) (/.f64 y x))))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.1328125	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	37.75626261716101	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	22.49567201152719	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
accuracy	32.42599928559927	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	0.00390625	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.05859375	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.16796875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
accuracy	23.976868647602654	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))

Samples

99.0ms

256×

valid

Compiler

Compiled 293 to 37 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 27.0ms (35.9% of total)

ival-sub: 21.0ms (27.9% of total)

ival-div: 11.0ms (14.6% of total)

ival-add: 9.0ms (12% of total)

ival-pow: 6.0ms (8% of total)

exact: 1.0ms (1.3% of total)

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

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

series36.0ms (0.5%)

Memory

15.7MiB live, 61.2MiB allocated

Counts

24 → 108

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ 1 y)
(+ (/ 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))
1
(+ 1 (/ x y))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
(/ (- (pow x 2) (* 2 (pow y 2))) (pow x 2))
(* -1 (/ (pow y 2) (pow x 2)))
(/ (- (pow x 2) (pow y 2)) (pow x 2))
(* -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))
(/ y x)
(/ (pow y 2) (pow x 2))
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (pow y 2)) (* x y)) (pow x 2))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(/ 1 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 (pow y 2))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* -1 (/ (pow y 2) (pow x 2))))
(+ 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)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (/ (- (* -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))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 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 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (/ 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))
(/ (+ x y) (pow y 2))
(/ (+ x y) y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -2 y)
(+ 1 (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))))
(+ 1 (* y (+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* -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)))))
(* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (/ 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
11.0ms	x	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (- (+ (- 1 (* (/ y x) (/ y x))) 0) (* (/ y x) (/ y x))) (+ (- 1 (* (/ y x) (/ y x))) 0) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- 1 (* (/ y x) (/ y x))) (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) x) (/ y x) (* (/ y x) (/ y x)) (pow (/ y x) 3) (* (/ y x) (- 1 (/ y x))))
6.0ms	y	@	0	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (- (+ (- 1 (* (/ y x) (/ y x))) 0) (* (/ y x) (/ y x))) (+ (- 1 (* (/ y x) (/ y x))) 0) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- 1 (* (/ y x) (/ y x))) (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) x) (/ y x) (* (/ y x) (/ y x)) (pow (/ y x) 3) (* (/ y x) (- 1 (/ y x))))
5.0ms	y	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (- (+ (- 1 (* (/ y x) (/ y x))) 0) (* (/ y x) (/ y x))) (+ (- 1 (* (/ y x) (/ y x))) 0) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- 1 (* (/ y x) (/ y x))) (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) x) (/ y x) (* (/ y x) (/ y x)) (pow (/ y x) 3) (* (/ y x) (- 1 (/ y x))))
5.0ms	x	@	0	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (- (+ (- 1 (* (/ y x) (/ y x))) 0) (* (/ y x) (/ y x))) (+ (- 1 (* (/ y x) (/ y x))) 0) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- 1 (* (/ y x) (/ y x))) (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) x) (/ y x) (* (/ y x) (/ y x)) (pow (/ y x) 3) (* (/ y x) (- 1 (/ y x))))
4.0ms	y	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* x x) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (- (+ (- 1 (* (/ y x) (/ y x))) 0) (* (/ y x) (/ y x))) (+ (- 1 (* (/ y x) (/ y x))) 0) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- 1 (* (/ y x) (/ y x))) (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ y x) 3)) (* (/ y x) (- 1 (/ y x)))) x) (/ y x) (* (/ y x) (/ y x)) (pow (/ y x) 3) (* (/ y x) (- 1 (/ y x))))

simplify208.0ms (3.1%)

Memory

-32.7MiB live, 148.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	1511
1	1272	1339
2	4847	1305
0	8273	1268

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

rewrite229.0ms (3.4%)

Memory

48.8MiB live, 425.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	334
0	70	310
1	307	308
2	2934	308
0	8434	300

Stop Event

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

Counts

24 → 567

Calls

Call 1

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

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

eval195.0ms (2.9%)

Memory: -31.3MiB live, 397.1MiB allocated
Compiler: Compiled 38 057 to 4 334 computations (88.6% saved)

prune27.0ms (0.4%)

Memory

30.4MiB live, 82.9MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	950	5	955
Fresh	0	3	3
Picked	3	2	5
Done	0	4	4
Total	953	14	967

Accuracy

99.6%

Counts

967 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	37.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	64.7%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	60.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)) (-.f64 x y))
	38.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 2 binary64))) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x))) x))) (-.f64 x y))
✓	62.1%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
▶	38.0%	(.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 (+.f64 (cosh.f64 (log.f64 (/.f64 y x))) (sinh.f64 (log.f64 (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
▶	61.1%	(.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))
▶	38.7%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 (/.f64 y x) y)) x)) (*.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
✓	41.0%	#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)))
▶	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) #s(literal 0 binary64)) (.f64 y (/.f64 y (*.f64 x x)))))
✓	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	61.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 684 to 369 computations (46.1% saved)

simplify142.0ms (2.1%)

Memory

1.6MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	671
0	99	659
1	210	585
2	506	585
3	1907	583
0	8410	564

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

localize391.0ms (5.7%)

Memory

-57.7MiB live, 546.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.089358973465135	(sinh.f64 (log.f64 (/.f64 y x)))
accuracy	12.83304934362501	(log.f64 (/.f64 y x))
accuracy	22.65594199530366	(+.f64 (cosh.f64 (log.f64 (/.f64 y x))) (sinh.f64 (log.f64 (/.f64 y x))))
accuracy	39.1360808120166	#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 (+.f64 (cosh.f64 (log.f64 (/.f64 y x))) (sinh.f64 (log.f64 (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x))
accuracy	0.15462875976844204	(.f64 (/.f64 y x) (.f64 (/.f64 y x) y))
accuracy	0.16796875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 (/.f64 y x) y)) x)) (*.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
accuracy	6.427443432972309	(/.f64 (.f64 (/.f64 y x) (.f64 (/.f64 y x) y)) x)
accuracy	39.1360808120166	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 (/.f64 y x) y)) x)) (*.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x))
accuracy	0.0625	(/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)
accuracy	0.15625	(fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
accuracy	0.16796875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)) (-.f64 x y))
accuracy	24.992554556353294	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	4.301082865421881	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
accuracy	13.135503090222947	(/.f64 y (*.f64 x x))
accuracy	37.75626261716101	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
accuracy	0.08984375	(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
accuracy	0.16796875	(.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	0.3591576660635143	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	24.852054992292455	#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

154.0ms	92×	1	valid
117.0ms	164×	0	valid

Compiler

Compiled 495 to 53 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-div: 83.0ms (37.4% of total)

ival-log: 29.0ms (13.1% of total)

ival-cosh: 29.0ms (13.1% of total)

ival-mult: 28.0ms (12.6% of total)

ival-add: 16.0ms (7.2% of total)

adjust: 11.0ms (5% of total)

ival-sub: 9.0ms (4.1% of total)

ival-sinh: 7.0ms (3.2% of total)

ival-pow: 7.0ms (3.2% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series211.0ms (3.1%)

Memory

3.1MiB live, 387.3MiB allocated

Counts

25 → 132

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

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

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	y	@	0	((* (/ (+ 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) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (+ (* (* -2 y) (/ y (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ x y) (- 1 (/ x y))) 1) y) (+ (* (/ x y) (- 1 (/ x y))) 1) (/ (* (/ y x) (* (/ y x) y)) x) (* (/ y x) (* (/ y x) y)) (+ (- 1 (/ (* (/ y x) (* (/ y x) y)) x)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (+ (- 1 (pow (/ y x) 3)) (* (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (/ (+ y x) (+ (* y y) (* x x))) (log (/ y x)) (sinh (log (/ y x))))
45.0ms	x	@	0	((* (/ (+ 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) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (+ (* (* -2 y) (/ y (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ x y) (- 1 (/ x y))) 1) y) (+ (* (/ x y) (- 1 (/ x y))) 1) (/ (* (/ y x) (* (/ y x) y)) x) (* (/ y x) (* (/ y x) y)) (+ (- 1 (/ (* (/ y x) (* (/ y x) y)) x)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (+ (- 1 (pow (/ y x) 3)) (* (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (/ (+ y x) (+ (* y y) (* x x))) (log (/ y x)) (sinh (log (/ y x))))
43.0ms	x	@	-inf	((* (/ (+ 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) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (+ (* (* -2 y) (/ y (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ x y) (- 1 (/ x y))) 1) y) (+ (* (/ x y) (- 1 (/ x y))) 1) (/ (* (/ y x) (* (/ y x) y)) x) (* (/ y x) (* (/ y x) y)) (+ (- 1 (/ (* (/ y x) (* (/ y x) y)) x)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (+ (- 1 (pow (/ y x) 3)) (* (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (/ (+ y x) (+ (* y y) (* x x))) (log (/ y x)) (sinh (log (/ y x))))
32.0ms	y	@	-inf	((* (/ (+ 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) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (+ (* (* -2 y) (/ y (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ x y) (- 1 (/ x y))) 1) y) (+ (* (/ x y) (- 1 (/ x y))) 1) (/ (* (/ y x) (* (/ y x) y)) x) (* (/ y x) (* (/ y x) y)) (+ (- 1 (/ (* (/ y x) (* (/ y x) y)) x)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (+ (- 1 (pow (/ y x) 3)) (* (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (/ (+ y x) (+ (* y y) (* x x))) (log (/ y x)) (sinh (log (/ y x))))
16.0ms	y	@	inf	((* (/ (+ 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) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (+ (* (* -2 y) (/ y (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ x y) (- 1 (/ x y))) 1) y) (+ (* (/ x y) (- 1 (/ x y))) 1) (/ (* (/ y x) (* (/ y x) y)) x) (* (/ y x) (* (/ y x) y)) (+ (- 1 (/ (* (/ y x) (* (/ y x) y)) x)) (* (/ y x) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (+ (- 1 (pow (/ y x) 3)) (* (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (- 1 (/ y x)))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (/ (+ y x) (+ (* y y) (* x x))) (log (/ y x)) (sinh (log (/ y x))))

simplify201.0ms (2.9%)

Memory

5.8MiB live, 236.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	3154
1	1812	2535
2	7668	2466
0	8183	2412

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite167.0ms (2.5%)

Memory

22.4MiB live, 216.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	482
0	99	470
1	414	422
2	3873	422
0	8276	405

Stop Event

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

Counts

25 → 386

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

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

eval83.0ms (1.2%)

Memory: 27.8MiB live, 256.3MiB allocated
Compiler: Compiled 22 764 to 3 069 computations (86.5% saved)

prune108.0ms (1.6%)

Memory

-56.0MiB live, 151.9MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	482	9	491
Fresh	2	1	3
Picked	2	3	5
Done	0	6	6
Total	486	19	505

Accuracy

99.6%

Counts

505 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	37.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	64.7%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	61.1%	(.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)))
	60.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (fma.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) (pow.f64 y #s(literal -1 binary64)))) (-.f64 x y))
✓	60.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)) (-.f64 x y))
	38.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) x (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y))) (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) x)) (-.f64 x y))
✓	62.1%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
	27.4%	(.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 (/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (/.f64 y x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (/.f64 y x))) (cosh.f64 (log.f64 (/.f64 y x))))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
	38.0%	(.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 #s(approx (+ (cosh (log (/ y x))) (sinh (log (/ y x)))) (fma.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
	29.6%	(.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 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))))) y)) (-.f64 x y))
✓	38.7%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 (/.f64 y x) y)) x)) (*.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
	27.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y x) y) (/.f64 y (.f64 x x)))) (.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
	61.1%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))) (-.f64 x y))
✓	41.0%	#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)))
✓	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	61.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
	29.7%	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (-.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (.f64 (/.f64 y x) (/.f64 y x))))

Compiler

Compiled 1 576 to 531 computations (66.3% saved)

regimes25.0ms (0.4%)

Memory

17.7MiB live, 62.5MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	x
7.0ms	y
6.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
88.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.3%	2	`x`
91.2%	3	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
90.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

-33.3MiB live, 16.5MiB 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 y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.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 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))

Outputs

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

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

Calls

2 calls:

7.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	y

Results

Accuracy	Segments	Branch
88.4%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.4%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
88.0%	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

5.8MiB live, 5.8MiB 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 y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 x x (.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.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)))

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
88.0%	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

8.0MiB live, 8.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
88.0%	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

5.0MiB live, 5.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
88.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
87.6%	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

12.3MiB live, 12.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.0%	1	`x`
61.0%	1	`y`
61.0%	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)

bsearch19.0ms (0.3%)

Memory

7.3MiB live, 51.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.642003179299536e-13	4.856012828980687e-9
12.0ms	5.451495783024851e-161	5.060349886585279e-160

Samples

12.0ms

144×

valid

Compiler

Compiled 360 to 242 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.1% of total)

ival-sub: 1.0ms (12.2% of total)

ival-div: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

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

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

bsearch11.0ms (0.2%)

Memory

-29.3MiB live, 16.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.642003179299536e-13	4.856012828980687e-9
4.0ms	5.451495783024851e-161	5.060349886585279e-160

Samples

4.0ms

64×

valid

Compiler

Compiled 475 to 317 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (39.6% of total)

ival-mult: 1.0ms (39.6% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999987244363788	0.9963265310569258

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999987244363788	0.9963265310569258

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	-0.9999987244363788	0.9963265310569258

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999987244363788	0.9963265310569258

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999987244363788	0.9963265310569258

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch32.0ms (0.5%)

Memory

-2.7MiB live, 44.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0	NaN
13.0ms	-0.9999987244363788	0.9963265310569258

Samples

11.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

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

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

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

simplify60.0ms (0.9%)

Memory

2.3MiB live, 54.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	697
1	116	697
2	187	697
3	367	697
4	621	697
5	1160	697
6	2539	697
7	4788	697
8	7484	697

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 54412688324083/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4835703278458517/9671406556917033397649408 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 54412688324083/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6769984589841923/4835703278458516698824704 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))) #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)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 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)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (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)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 y #s(literal 54412688324083/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4835703278458517/9671406556917033397649408 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 54412688324083/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6769984589841923/4835703278458516698824704 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))) #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)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 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)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (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)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

derivations639.0ms (9.4%)

Memory

23.7MiB live, 637.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	334
0	70	310
1	307	308
2	2934	308
0	8434	300
0	178	518
1	606	420
2	2601	401
0	8179	386
0	9	38
0	16	38
1	69	38
0	622	36
0	27	153
0	39	147
1	130	147
2	1059	147
0	9324	147
0	276	852
1	899	726
2	3376	697
0	8270	672

Stop Event

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

Compiler

Compiled 729 to 75 computations (89.7% saved)

preprocess105.0ms (1.5%)

Memory: -9.5MiB live, 83.6MiB allocated
Remove: (abs x)
Compiler: Compiled 1 968 to 398 computations (79.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.1%)

sample1.2s (17.8%)

explain658.0ms (9.7%)

preprocess508.0ms (7.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify95.0ms (1.4%)

localize25.0ms (0.4%)

series8.0ms (0.1%)

simplify193.0ms (2.8%)

rewrite52.0ms (0.8%)

eval20.0ms (0.3%)

prune6.0ms (0.1%)

simplify135.0ms (2%)

localize63.0ms (0.9%)

series7.0ms (0.1%)

simplify158.0ms (2.3%)

rewrite167.0ms (2.4%)

eval204.0ms (3%)

prune24.0ms (0.3%)

simplify209.0ms (3.1%)

localize145.0ms (2.1%)

series36.0ms (0.5%)

simplify208.0ms (3.1%)

rewrite229.0ms (3.4%)

eval195.0ms (2.9%)

prune27.0ms (0.4%)

simplify142.0ms (2.1%)

localize391.0ms (5.7%)

series211.0ms (3.1%)

simplify201.0ms (2.9%)

rewrite167.0ms (2.5%)

eval83.0ms (1.2%)

prune108.0ms (1.6%)

regimes25.0ms (0.4%)

regimes4.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0%)

bsearch19.0ms (0.3%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch32.0ms (0.5%)

simplify60.0ms (0.9%)

derivations639.0ms (9.4%)

preprocess105.0ms (1.5%)

end0.0ms (0%)

Profiling