Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze62.0ms (1%)

Memory

-31.6MiB live, 7.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.2s (20.1%)

Memory

46.6MiB live, 1 612.1MiB allocated

Samples

919.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 707.0ms

ival-mult: 284.0ms (40.1% of total)

ival-div: 136.0ms (19.2% of total)

ival-<: 98.0ms (13.9% of total)

ival-add: 79.0ms (11.2% of total)

ival-sub: 78.0ms (11% of total)

ival-and: 17.0ms (2.4% of total)

exact: 11.0ms (1.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain104.0ms (1.7%)

Memory

-7.5MiB live, 150.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	46	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	46
↳	`(*.f64 y y)`	overflow	46
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	46
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	31	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	31
↳	`(*.f64 y y)`	underflow	74
↳	`(*.f64 x x)`	underflow	130
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	31

Confusion

	Predicted +	Predicted -
+	77	0
-	0	179

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	77	0	0
-	0	0	179

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	179
1	77

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

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

ival-mult: 10.0ms (45.7% of total)

ival-add: 5.0ms (22.8% of total)

ival-sub: 3.0ms (13.7% of total)

ival-div: 3.0ms (13.7% of total)

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

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

preprocess154.0ms (2.5%)

Memory

-18.6MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	114	78
2	413	75
3	1556	75
4	6032	75
0	9	15
0	16	15
1	40	15
2	129	15
3	487	15
4	1803	15
5	5099	15
0	8114	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 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify118.0ms (1.9%)

Memory

34.5MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	40	43
2	129	43
3	487	43
4	1803	43
5	5099	43
0	8114	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 x y) (fma.f64 y y (.f64 x x))) (+.f64 y 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)

localize29.0ms (0.5%)

Memory

5.3MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	19.06472173163453	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

22.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (55.6% of total)

ival-sub: 2.0ms (13.9% of total)

ival-div: 2.0ms (13.9% of total)

ival-add: 2.0ms (13.9% of total)

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

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

series13.0ms (0.2%)

Memory

-23.7MiB live, 13.7MiB 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
6.0ms	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	@	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	@	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	@	-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	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))

simplify127.0ms (2.1%)

Memory

27.9MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	507
1	636	424
2	2627	383
0	8488	358

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite55.0ms (0.9%)

Memory

-2.4MiB live, 74.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	77	38
0	744	36

Stop Event

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

Counts

6 → 174

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

eval24.0ms (0.4%)

Memory: 0.8MiB live, 44.9MiB allocated
Compiler: Compiled 4 191 to 626 computations (85.1% saved)

prune8.0ms (0.1%)

Memory

-19.9MiB live, 19.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	187	9	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	9	197

Accuracy

99.7%

Counts

197 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	45.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	26.4%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
	70.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) (+.f64 y x)))
	69.9%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
▶	71.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
▶	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	70.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 336 to 202 computations (39.9% saved)

simplify119.0ms (1.9%)

Memory

15.1MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	49	201
1	98	201
2	274	201
3	975	201
4	4485	201
0	8444	201

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.3%)

Memory

6.4MiB live, 81.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0	(*.f64 x x)
accuracy	19.06472173163453	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.06640625	(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
accuracy	0.13671875	(*.f64 y (/.f64 y x))
accuracy	43.48409390295159	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	15.150652346183499	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	19.06472173163453	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	18.929413029310606	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.08203125	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 x (/.f64 x y))
accuracy	18.146456142709262	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 386 to 60 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (46.9% of total)

ival-div: 9.0ms (28.1% of total)

ival-add: 6.0ms (18.8% of total)

ival-sub: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

-10.6MiB live, 25.5MiB allocated

Counts

17 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* x x) (* y y)) (* y y) (* x x))
3.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* x x) (* y y)) (* y y) (* x x))
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* x x) (* y y)) (* y y) (* x x))
2.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* x x) (* y y)) (* y y) (* x x))
2.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* x x) (* y y)) (* y y) (* x x))

simplify165.0ms (2.7%)

Memory

30.2MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	555
1	697	503
2	2805	497
0	8525	465

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite235.0ms (3.8%)

Memory

-18.3MiB live, 224.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	168
0	49	163
1	196	163
2	1652	163
0	8495	163

Stop Event

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

Counts

17 → 679

Calls

Call 1

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

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

eval167.0ms (2.7%)

Memory: 2.0MiB live, 199.1MiB allocated
Compiler: Compiled 33 906 to 2 700 computations (92% saved)

prune28.0ms (0.5%)

Memory

-16.2MiB live, 71.8MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 004	6	1 010
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	1 007	12	1 019

Accuracy

99.7%

Counts

1 019 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	26.4%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
▶	69.9%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
	63.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
✓	71.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
	26.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶	71.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
▶	30.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))))
▶	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	70.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 523 to 281 computations (46.3% saved)

simplify178.0ms (2.9%)

Memory

24.4MiB live, 214.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	3	(pow.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 2 binary64))
cost-diff	9	(-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	20	(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
cost-diff	1	(.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
cost-diff	3	(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	450
0	73	433
1	167	405
2	604	355
3	4426	330
0	8646	319

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (2.3%)

Memory

-13.7MiB live, 184.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	3.8018025509635263	(/.f64 (*.f64 (/.f64 y x) y) x)
accuracy	27.507585441322625	(-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	38.10686565873282	(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
accuracy	43.48409390295159	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.193691259768442	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
accuracy	18.538561297633695	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	19.06472173163453	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
accuracy	38.99193374592716	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	44.96602152719687	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.08203125	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 x (/.f64 x y))
accuracy	5.6242041136487755	(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
accuracy	18.146456142709262	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))

Samples

105.0ms

256×

valid

Compiler

Compiled 836 to 88 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 47.0ms (55.1% of total)

ival-div: 16.0ms (18.7% of total)

ival-add: 7.0ms (8.2% of total)

ival-sub: 4.0ms (4.7% of total)

ival-exp: 3.0ms (3.5% of total)

ival-log: 3.0ms (3.5% of total)

ival-pow2: 3.0ms (3.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series115.0ms (1.9%)

Memory

14.2MiB live, 107.3MiB allocated

Counts

20 → 103

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	y	@	0	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* x (/ x y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) (+ (* (* (/ y x) y) (/ -2 x)) -1))) (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (pow (/ (* (/ y x) y) x) 2) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1) (* x (/ x y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (/ y x) y) x))
15.0ms	y	@	-inf	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* x (/ x y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) (+ (* (* (/ y x) y) (/ -2 x)) -1))) (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (pow (/ (* (/ y x) y) x) 2) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1) (* x (/ x y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (/ y x) y) x))
12.0ms	y	@	inf	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* x (/ x y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) (+ (* (* (/ y x) y) (/ -2 x)) -1))) (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (pow (/ (* (/ y x) y) x) 2) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1) (* x (/ x y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (/ y x) y) x))
5.0ms	x	@	-inf	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* x (/ x y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) (+ (* (* (/ y x) y) (/ -2 x)) -1))) (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (pow (/ (* (/ y x) y) x) 2) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1) (* x (/ x y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (/ y x) y) x))
4.0ms	x	@	0	((exp (* (log (* y 1/2)) -1)) (* (log (* y 1/2)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (* (log (* y 1/2)) -1)) (* x (/ x y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (- x y) (/ (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) (+ (* (* (/ y x) y) (/ -2 x)) -1))) (- (* (* 4 (pow (/ (* (/ y x) y) x) 2)) (+ (* (* (/ y x) y) (/ -2 x)) -1)) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1)) (pow (/ (* (/ y x) y) x) 2) (* (+ (* (* (/ y x) y) (/ -2 x)) -1) 1) (* x (/ x y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (/ y x) y) x))

simplify138.0ms (2.2%)

Memory

2.6MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	1478
1	1427	1362
2	5576	1328
0	8186	1250

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 101

Calls

Call 1

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

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

rewrite272.0ms (4.4%)

Memory

-15.8MiB live, 334.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	340
0	73	305
1	306	261
2	2871	253
0	9178	244

Stop Event

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

Counts

20 → 870

Calls

Call 1

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

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

eval213.0ms (3.5%)

Memory: -16.3MiB live, 243.8MiB allocated
Compiler: Compiled 58 726 to 4 364 computations (92.6% saved)

prune48.0ms (0.8%)

Memory

-14.7MiB live, 74.3MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 060	2	1 062
Fresh	0	3	3
Picked	2	3	5
Done	0	4	4
Total	1 062	12	1 074

Accuracy

99.7%

Counts

1 074 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	26.4%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	69.9%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
▶	70.2%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
▶	29.3%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 1 binary64)) x)))
▶	63.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
✓	71.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
▶	26.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	70.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 404 to 237 computations (41.3% saved)

simplify126.0ms (2%)

Memory

23.9MiB live, 175.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	426
0	82	424
1	180	422
2	559	422
3	2511	422
0	8249	420

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.1%)

Memory

-3.8MiB live, 188.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.193691259768442	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 1 binary64)) x)))
accuracy	0.25331884768442015	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	21.929687500000004	(-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x))
accuracy	44.96790778174061	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) #s(literal 1 binary64)) x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
accuracy	18.438808052953174	(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))
accuracy	0.01171875	(.f64 (.f64 y y) #s(literal -2 binary64))
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	13.05128513090968	(fma.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy	43.48409390295159	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	4.220756455165517	(fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
accuracy	8.944902386432503	(/.f64 x (*.f64 y y))
accuracy	18.146456142709262	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
accuracy	0.193691259768442	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
accuracy	0.23054511722130416	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	4.76558578077391	(-.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
accuracy	18.95606746268397	#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))

Samples

97.0ms

256×

valid

Compiler

Compiled 777 to 95 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 30.0ms (39.4% of total)

ival-add: 21.0ms (27.6% of total)

ival-mult: 14.0ms (18.4% of total)

ival-sub: 5.0ms (6.6% of total)

ival-pow: 5.0ms (6.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series51.0ms (0.8%)

Memory

-20.1MiB live, 78.3MiB allocated

Counts

25 → 138

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* 2 x)) -1) (/ x (* y y)) (* y y) (+ (* (* (* y y) -2) (/ 1 (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* y y) -2) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (- x y) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) 1) x) (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) (pow (/ x y) 3) (* 2 x) (/ 1 (* x x)) (* x x) (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) (pow (/ y x) 3))
4.0ms	x	@	0	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* 2 x)) -1) (/ x (* y y)) (* y y) (+ (* (* (* y y) -2) (/ 1 (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* y y) -2) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (- x y) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) 1) x) (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) (pow (/ x y) 3) (* 2 x) (/ 1 (* x x)) (* x x) (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) (pow (/ y x) 3))
4.0ms	x	@	inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* 2 x)) -1) (/ x (* y y)) (* y y) (+ (* (* (* y y) -2) (/ 1 (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* y y) -2) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (- x y) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) 1) x) (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) (pow (/ x y) 3) (* 2 x) (/ 1 (* x x)) (* x x) (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) (pow (/ y x) 3))
4.0ms	y	@	-inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* 2 x)) -1) (/ x (* y y)) (* y y) (+ (* (* (* y y) -2) (/ 1 (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* y y) -2) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (- x y) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) 1) x) (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) (pow (/ x y) 3) (* 2 x) (/ 1 (* x x)) (* x x) (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) (pow (/ y x) 3))
4.0ms	y	@	inf	((* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (+ y x) (/ (- x y) (+ (* y y) (* x x))) (/ (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* 2 x)) -1) (/ x (* y y)) (* y y) (+ (* (* (* y y) -2) (/ 1 (* x x))) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* y y) -2) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (- x y) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (* (+ y x) (/ (- x y) (+ (* y y) (* x x)))) (/ (- x y) (+ (* y y) (* x x))) (/ (+ (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) 1) x) (- (- (/ (+ (* x (/ x y)) x) y) 1) (pow (/ x y) 3)) (pow (/ x y) 3) (* 2 x) (/ 1 (* x x)) (* x x) (- (pow (/ y x) 3) (/ (+ (* y (/ y x)) y) x)) (pow (/ y x) 3))

simplify172.0ms (2.8%)

Memory

20.0MiB live, 208.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	2075
1	1842	1914
2	6987	1846
0	8748	1775

Stop Event

1×	iter limit
1×	node limit

Counts

138 → 136

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

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

rewrite232.0ms (3.8%)

Memory

29.6MiB live, 259.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	336
0	82	332
1	391	324
2	3958	324
0	8352	320

Stop Event

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

Counts

25 → 821

Calls

Call 1

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

Outputs
(.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) (+.f64 x y))
(.f64 (+.f64 x y) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) (-.f64 x y))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) (-.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(/.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x))
(/.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x 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 (-.f64 x y) x (*.f64 y y)))
(fma.f64 #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) x (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) y))
(fma.f64 #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) y (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) x))
(fma.f64 x #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) (.f64 y #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))))
(fma.f64 y #s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) (.f64 x #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))))
(+.f64 (.f64 x #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) (.f64 y #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))))
(+.f64 (.f64 y #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) (.f64 x #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))))
(+.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) x) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) y))
(+.f64 (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) y) (.f64 #s(approx (/ (- x y) (+ ( y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) x))
(.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x x (.f64 (neg.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 (fma.f64 x x (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 x y))
(/.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x #s(literal 1 binary64))) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(+.f64 x y)
(+.f64 y x)
#s(approx (/ (- x y) (+ (* y y) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))
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(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (/.f64 y x) y y)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y x) y y))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (fma.f64 (/.f64 y x) y y))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 (/.f64 y x) y y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (/.f64 y x) y y)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y x) y y))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (fma.f64 (/.f64 y x) y y)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 (/.f64 y x) y y))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 5 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 (fabs.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 y) y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 y (-.f64 y (.f64 (/.f64 y x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) y) (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.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 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 y x) y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 y x) y y) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (fma.f64 (/.f64 y x) y y)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (fma.f64 (/.f64 y x) y y) (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))) (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))))
(-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(*.f64 (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (/.f64 y x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) y) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.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 (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))
(*.f64 (/.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)))
(.f64 y (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 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 (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 y x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal -3 binary64))
(/.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (*.f64 y (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) y) x)
(/.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 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x y))
(/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.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)))
(neg.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)))
(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 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))

eval246.0ms (4%)

Memory: -6.9MiB live, 277.6MiB allocated
Compiler: Compiled 36 266 to 4 145 computations (88.6% saved)

prune53.0ms (0.9%)

Memory

-16.0MiB live, 72.8MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 051	3	1 054
Fresh	0	0	0
Picked	4	1	5
Done	1	6	7
Total	1 056	10	1 066

Accuracy

100.0%

Counts

1 066 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (-.f64 x y) (fma.f64 x (/.f64 x (+.f64 x y)) (*.f64 y (/.f64 y (+.f64 x y)))))
✓	70.1%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	69.9%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
	63.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 x x) #s(literal -1 binary64)))
✓	71.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	32.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
	27.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) #s(literal 1 binary64)))
✓	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	70.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 708 to 223 computations (68.5% saved)

regimes41.0ms (0.7%)

Memory

-6.6MiB live, 31.6MiB allocated

Counts

21 → 1

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

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

Calls

3 calls:

28.0ms	x
6.0ms	y
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	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)

regimes15.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.0%	2	`x`
94.4%	4	`y`
95.8%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes26.0ms (0.4%)

Memory

-28.5MiB live, 7.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.9%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
95.4%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
95.2%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB 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 x (*.f64 y y)) (+.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))

Outputs

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

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

3.0ms

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

Results

Accuracy	Segments	Branch
95.2%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 x x) #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
94.8%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
94.6%	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 (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.4%	1	`x`
70.4%	1	`y`
70.4%	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)

bsearch14.0ms (0.2%)

Memory

-36.1MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
14.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9981118792867786	0.9999994755011112

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9981118792867786	0.9999994755011112

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9981118792867786	0.9999994755011112

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9981118792867786	0.9999994755011112

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch62.0ms (1%)

Memory

-13.2MiB live, 68.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0	NaN
16.0ms	-0.9981118792867786	0.9999994755011112

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)

simplify63.0ms (1%)

Memory

19.5MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	642
1	101	642
2	189	642
3	545	642
4	2000	642
5	5774	642

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness926.0ms (15%)

Memory

0.9MiB live, 763.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	555
1	697	503
2	2805	497
0	8525	465
0	9	38
0	16	38
1	77	38
0	744	36
0	33	168
0	49	163
1	196	163
2	1652	163
0	8495	163
0	178	507
1	636	424
2	2627	383
0	8488	358
0	49	336
0	82	332
1	391	324
2	3958	324
0	8352	320

Stop Event

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

Compiler

Compiled 1 127 to 349 computations (69% saved)

preprocess126.0ms (2%)

Memory: -11.2MiB live, 187.7MiB allocated
Remove: (abs x)
Compiler: Compiled 1 538 to 254 computations (83.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze62.0ms (1%)

sample1.2s (20.1%)

explain104.0ms (1.7%)

preprocess154.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify118.0ms (1.9%)

localize29.0ms (0.5%)

series13.0ms (0.2%)

simplify127.0ms (2.1%)

rewrite55.0ms (0.9%)

eval24.0ms (0.4%)

prune8.0ms (0.1%)

simplify119.0ms (1.9%)

localize78.0ms (1.3%)

series28.0ms (0.4%)

simplify165.0ms (2.7%)

rewrite235.0ms (3.8%)

eval167.0ms (2.7%)

prune28.0ms (0.5%)

simplify178.0ms (2.9%)

localize139.0ms (2.3%)

series115.0ms (1.9%)

simplify138.0ms (2.2%)

rewrite272.0ms (4.4%)

eval213.0ms (3.5%)

prune48.0ms (0.8%)

simplify126.0ms (2%)

localize131.0ms (2.1%)

series51.0ms (0.8%)

simplify172.0ms (2.8%)

rewrite232.0ms (3.8%)

eval246.0ms (4%)

prune53.0ms (0.9%)

regimes41.0ms (0.7%)

regimes15.0ms (0.2%)

regimes26.0ms (0.4%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch62.0ms (1%)

simplify63.0ms (1%)

soundness926.0ms (15%)

preprocess126.0ms (2%)

end0.0ms (0%)

Profiling