Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze15.0ms (0.3%)

Memory

-34.5MiB live, 11.5MiB allocated; 11ms collecting garbage

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 (22.2%)

Memory

112.8MiB live, 2 043.4MiB allocated; 428ms collecting garbage

Samples

834.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 574.0ms

ival-mult: 267.0ms (46.6% of total)

ival-add: 93.0ms (16.2% of total)

ival-div: 72.0ms (12.6% of total)

ival-<: 58.0ms (10.1% of total)

ival-sub: 52.0ms (9.1% of total)

ival-and: 16.0ms (2.8% of total)

exact: 10.0ms (1.7% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain217.0ms (4.1%)

Memory

-23.2MiB live, 236.0MiB allocated; 170ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
82	-	1	(1.5886448109112585e-158 2.2073529152156638e-164)	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	0	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	42	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	42
↳	`(*.f64 y y)`	overflow	42
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	42
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	39
↳	`(*.f64 y y)`	underflow	76
↳	`(*.f64 x x)`	underflow	118
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	39

Confusion

	Predicted +	Predicted -
+	81	1
-	0	174

Precision

1.0

Recall

0.9878048780487805

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	1
-	0	0	174

Precision?

1.0

Recall?

0.9878048780487805

Freqs

test

number	freq
0	175
1	81

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 105 to 31 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.3% of total)

ival-add: 5.0ms (21.8% of total)

ival-sub: 3.0ms (13.1% of total)

ival-div: 3.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess140.0ms (2.7%)

Memory

0.3MiB live, 184.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify90.0ms (1.7%)

Memory

-1.6MiB live, 132.9MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.7%)

Memory

22.1MiB live, 73.2MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	20.0260010253725	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

31.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 10.0ms (55.6% of total)

ival-mult: 4.0ms (22.2% of total)

ival-sub: 2.0ms (11.1% of total)

ival-div: 1.0ms (5.6% of total)

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

adjust: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-26.9MiB live, 18.7MiB allocated; 7ms collecting garbage

Counts

5 → 44

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x))
1.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x))
1.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x))
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x))
1.0ms	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x))

simplify179.0ms (3.4%)

Memory

20.1MiB live, 255.3MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite49.0ms (0.9%)

Memory

17.3MiB live, 62.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	69	35
0	622	33

Stop Event

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

Counts

5 → 140

Calls

Call 1

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

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

eval24.0ms (0.4%)

Memory: -13.5MiB live, 46.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 716 to 551 computations (85.2% saved)

prune10.0ms (0.2%)

Memory

-18.2MiB live, 26.6MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	160	8	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	8	169

Accuracy

99.7%

Counts

169 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.2%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	40.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	29.3%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	68.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	68.5%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
▶	40.9%	#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)))
	38.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	61.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 282 to 168 computations (40.4% saved)

simplify122.0ms (2.3%)

Memory

3.3MiB live, 190.0MiB allocated; 37ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	201
0	53	195
1	103	195
2	248	195
3	570	195
4	1334	195
5	3308	195
6	6720	195
0	8421	195

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (2.2%)

Memory

4.6MiB live, 153.2MiB allocated; 28ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	20.0260010253725	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.109375	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	37.810168283358855	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	16.957688090074733	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.0260010253725	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	24.81122330599949	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.18978500976844204	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
accuracy	19.461921547681072	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 188 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 51.0ms (72.1% of total)

ival-mult: 10.0ms (14.1% of total)

ival-add: 7.0ms (9.9% of total)

ival-sub: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory

26.1MiB live, 71.2MiB allocated; 4ms collecting garbage

Counts

22 → 85

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* x x) (* y y)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (* x x) (+ (* x x) (* y y)) (* y y) (/ y x) (neg y))
4.0ms	y	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* x x) (* y y)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (* x x) (+ (* x x) (* y y)) (* y y) (/ y x) (neg y))
3.0ms	y	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* x x) (* y y)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (* x x) (+ (* x x) (* y y)) (* y y) (/ y x) (neg y))
2.0ms	x	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* x x) (* y y)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (* x x) (+ (* x x) (* y y)) (* y y) (/ y x) (neg y))
2.0ms	y	@	0	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (* x x) (* y y)) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (* x x) (+ (* x x) (* y y)) (* y y) (/ y x) (neg y))

simplify235.0ms (4.5%)

Memory

-29.0MiB live, 363.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	1128
1	1006	958
2	3766	916
0	9091	886

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 83

Calls

Call 1

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

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

rewrite269.0ms (5.1%)

Memory

11.2MiB live, 284.8MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	181
0	53	175
1	189	175
2	1541	169
0	9424	167

Stop Event

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

Counts

22 → 1 158

Calls

Call 1

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

Outputs
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eval229.0ms (4.4%)

Memory: -10.8MiB live, 233.6MiB allocated; 71ms collecting garbage
Compiler: Compiled 31 458 to 2 897 computations (90.8% saved)

prune28.0ms (0.5%)

Memory

21.5MiB live, 64.4MiB allocated; 8ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	849	6	855
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	853	10	863

Accuracy

99.7%

Counts

863 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.2%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y)))
✓	68.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	41.6%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
▶	68.5%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
	38.7%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x)) x)) (-.f64 x y))
▶	39.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
✓	40.9%	#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)))
▶	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	38.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	61.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 333 to 201 computations (39.6% saved)

simplify102.0ms (1.9%)

Memory

-9.0MiB live, 134.6MiB allocated; 26ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	207
0	49	202
1	103	202
2	235	202
3	671	202
4	1965	202
5	3918	202
6	6048	202
0	8075	202

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.4%)

Memory

16.8MiB live, 106.0MiB allocated; 12ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.18978500976844204	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
accuracy	16.957688090074733	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	19.461921547681072	(/.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	3.7732993272862743	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
accuracy	9.889122286220394	(/.f64 y (*.f64 x x))
accuracy	37.810168283358855	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 x y)
accuracy	0.18978500976844204	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
accuracy	38.451107444213164	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x))
accuracy	39.21457102386573	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	0.1796875	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
accuracy	19.45804981775855	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))

Samples

49.0ms

256×

valid

Compiler

Compiled 182 to 24 computations (86.8% saved)

Precisions

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

ival-mult: 10.0ms (41% of total)

ival-div: 7.0ms (28.7% of total)

ival-add: 6.0ms (24.6% of total)

ival-sub: 1.0ms (4.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-3.1MiB live, 41.3MiB allocated; 8ms collecting garbage

Counts

18 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((* (+ x y) (/ (- x y) (+ (* x x) (* y y)))) (+ x y) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ 1 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (+ (* x x) (* y y)) (* y y))
2.0ms	y	@	-inf	((* (+ x y) (/ (- x y) (+ (* x x) (* y y)))) (+ x y) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ 1 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	0	((* (+ x y) (/ (- x y) (+ (* x x) (* y y)))) (+ x y) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ 1 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	-inf	((* (+ x y) (/ (- x y) (+ (* x x) (* y y)))) (+ x y) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ 1 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (+ (* x x) (* y y)) (* y y))
1.0ms	y	@	0	((* (+ x y) (/ (- x y) (+ (* x x) (* y y)))) (+ x y) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ 1 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (+ (* x x) (* y y)) (* y y))

simplify198.0ms (3.8%)

Memory

16.3MiB live, 294.5MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	983
1	1025	911
2	3627	887
0	8328	847

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 80

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

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

rewrite242.0ms (4.6%)

Memory

-58.7MiB live, 271.6MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	183
0	49	178
1	178	178
2	1419	178
0	8748	178

Stop Event

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

Counts

18 → 650

Calls

Call 1

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

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

eval99.0ms (1.9%)

Memory: 30.3MiB live, 312.8MiB allocated; 41ms collecting garbage
Compiler: Compiled 26 847 to 2 395 computations (91.1% saved)

prune60.0ms (1.1%)

Memory

-20.2MiB live, 74.0MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	745	1	746
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	746	10	756

Accuracy

99.7%

Counts

756 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.2%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y)))
✓	68.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	41.6%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
✓	68.5%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
▶	38.7%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (-.f64 x y))
✓	39.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
✓	40.9%	#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)))
✓	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	38.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	61.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 194 to 116 computations (40.2% saved)

simplify128.0ms (2.4%)

Memory

23.4MiB live, 159.1MiB allocated; 27ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	125
0	34	123
1	68	123
2	141	123
3	399	123
4	813	123
5	1604	123
6	3279	123
7	6582	123
0	8028	123

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (2.7%)

Memory

-24.4MiB live, 189.0MiB allocated; 24ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	20.0260010253725	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y)))
accuracy	0.0390625	(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
accuracy	0.109375	(fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
accuracy	0.18978500976844204	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (-.f64 x y))
accuracy	39.14620908957897	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))

Samples

130.0ms

256×

valid

Compiler

Compiled 107 to 22 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-add: 39.0ms (33.7% of total)

ival-div: 32.0ms (27.6% of total)

ival-sub: 29.0ms (25% of total)

ival-mult: 14.0ms (12.1% of total)

ival-neg: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

-19.8MiB live, 24.7MiB allocated; 7ms collecting garbage

Counts

9 → 69

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- 1 (/ y x))) 1) x) (+ (* (/ y x) (- 1 (/ y x))) 1) (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (+ (* (neg y) y) (* x x)) (neg y) (* x x) (+ (* x x) (* y y)))
1.0ms	x	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- 1 (/ y x))) 1) x) (+ (* (/ y x) (- 1 (/ y x))) 1) (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (+ (* (neg y) y) (* x x)) (neg y) (* x x) (+ (* x x) (* y y)))
1.0ms	y	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- 1 (/ y x))) 1) x) (+ (* (/ y x) (- 1 (/ y x))) 1) (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (+ (* (neg y) y) (* x x)) (neg y) (* x x) (+ (* x x) (* y y)))
1.0ms	y	@	-inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- 1 (/ y x))) 1) x) (+ (* (/ y x) (- 1 (/ y x))) 1) (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (+ (* (neg y) y) (* x x)) (neg y) (* x x) (+ (* x x) (* y y)))
1.0ms	x	@	inf	((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (/ y x) (- 1 (/ y x))) 1) x) (+ (* (/ y x) (- 1 (/ y x))) 1) (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (+ (* (neg y) y) (* x x)) (neg y) (* x x) (+ (* x x) (* y y)))

simplify140.0ms (2.7%)

Memory

40.6MiB live, 280.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	1065
1	921	915
2	3401	869
0	8323	830

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

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

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

rewrite157.0ms (3%)

Memory

-3.1MiB live, 227.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	34	104
1	151	104
2	1288	103
0	8962	103

Stop Event

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

Counts

9 → 483

Calls

Call 1

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

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

eval72.0ms (1.4%)

Memory: 18.9MiB live, 62.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 19 189 to 1 886 computations (90.2% saved)

prune22.0ms (0.4%)

Memory

1.4MiB live, 44.8MiB allocated; 8ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	534	0	534
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	534	10	544

Accuracy

99.7%

Counts

544 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y)))
✓	68.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	41.6%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
✓	68.5%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
✓	38.7%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (-.f64 x y))
✓	39.9%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
✓	40.9%	#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)))
✓	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	38.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	61.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 499 to 184 computations (63.1% saved)

regimes45.0ms (0.9%)

Memory

-34.2MiB live, 33.3MiB allocated; 19ms collecting garbage

Counts

16 → 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))
(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (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 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y)))
(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (-.f64 x y))
(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x)) x)) (-.f64 x y))

Outputs

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

(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 x x (*.f64 y y)))

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

Calls

3 calls:

36.0ms	y
5.0ms	x
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
89.5%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
82.1%	2	`x`
95.3%	3	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

-29.1MiB live, 13.4MiB allocated; 8ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.1%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.4%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

5 → 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))
(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
89.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

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))

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
88.5%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

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
61.2%	1	`x`
61.2%	1	`y`
61.2%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch26.0ms (0.5%)

Memory

18.2MiB live, 61.4MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.958928729494822e-26	1.5069418854463197e-25
16.0ms	2.2073529152156638e-164	8.700859949728487e-161

Samples

15.0ms

192×

valid

Compiler

Compiled 462 to 306 computations (33.8% saved)

Precisions

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

ival-mult: 3.0ms (39.4% of total)

ival-add: 2.0ms (26.3% of total)

ival-sub: 1.0ms (13.1% of total)

ival-div: 1.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.958928729494822e-26	1.5069418854463197e-25
1.0ms	2.2073529152156638e-164	8.700859949728487e-161

Compiler

Compiled 474 to 318 computations (32.9% saved)

bsearch28.0ms (0.5%)

Memory

-32.4MiB live, 10.9MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	6.958928729494822e-26	1.5069418854463197e-25
1.0ms	2.2073529152156638e-164	8.700859949728487e-161

Samples

1.0ms

16×

valid

Compiler

Compiled 493 to 327 computations (33.7% saved)

Precisions

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

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9934361514905597	0.9817557566417026

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9934361514905597	0.9817557566417026

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9934361514905597	0.9817557566417026

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify62.0ms (1.2%)

Memory

6.9MiB live, 68.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	462
1	89	462
2	152	462
3	330	462
4	579	462
5	1144	462
6	2524	462
7	4766	462
8	7462	462

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6097860015223217/43556142965880123323311949751266331066368 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6097860015223217/43556142965880123323311949751266331066368 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

derivations549.0ms (10.4%)

Memory

4.2MiB live, 627.4MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	181
0	53	175
1	189	175
2	1541	169
0	9424	167
0	9	35
0	16	35
1	69	35
0	622	33
0	178	518
1	606	420
2	2601	401
0	8179	386

Stop Event

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

Compiler

Compiled 494 to 58 computations (88.3% saved)

preprocess100.0ms (1.9%)

Memory: -21.2MiB live, 118.6MiB allocated; 16ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 492 to 358 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze15.0ms (0.3%)

sample1.2s (22.2%)

explain217.0ms (4.1%)

preprocess140.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify90.0ms (1.7%)

localize37.0ms (0.7%)

series12.0ms (0.2%)

simplify179.0ms (3.4%)

rewrite49.0ms (0.9%)

eval24.0ms (0.4%)

prune10.0ms (0.2%)

simplify122.0ms (2.3%)

localize116.0ms (2.2%)

series20.0ms (0.4%)

simplify235.0ms (4.5%)

rewrite269.0ms (5.1%)

eval229.0ms (4.4%)

prune28.0ms (0.5%)

simplify102.0ms (1.9%)

localize74.0ms (1.4%)

series14.0ms (0.3%)

simplify198.0ms (3.8%)

rewrite242.0ms (4.6%)

eval99.0ms (1.9%)

prune60.0ms (1.1%)

simplify128.0ms (2.4%)

localize142.0ms (2.7%)

series14.0ms (0.3%)

simplify140.0ms (2.7%)

rewrite157.0ms (3%)

eval72.0ms (1.4%)

prune22.0ms (0.4%)

regimes45.0ms (0.9%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch26.0ms (0.5%)

bsearch2.0ms (0%)

bsearch28.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify62.0ms (1.2%)

derivations549.0ms (10.4%)

preprocess100.0ms (1.9%)

end0.0ms (0%)

Profiling