Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

analyze2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample911.0ms (9.5%)

Memory

19.8MiB live, 1 397.0MiB allocated

Samples

699.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-mult: 176.0ms (49% of total)

ival-div: 84.0ms (23.4% of total)

ival-add: 46.0ms (12.8% of total)

ival-sub: 40.0ms (11.1% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess208.0ms (2.2%)

Memory

16.0MiB live, 129.8MiB allocated

Algorithm

2×	egg-herbie

Rules

980×	`times-frac`
880×	`accelerator-lowering-fma.f32`
880×	`accelerator-lowering-fma.f64`
784×	`distribute-lft-in`
762×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	116
1	94	116
2	246	114
3	625	114
4	1747	114
5	2729	114
6	2978	114
7	2997	114
8	3012	114
9	3017	114
10	3017	114
11	3317	114
12	3453	114
13	3453	114
14	3597	114
15	4403	114
16	4403	114
0	9	19
1	21	19
2	50	19
3	106	19
4	208	19
5	337	19
6	504	19
7	716	19
8	1183	19
9	2194	19
10	2243	19
11	2281	19
12	2309	19
13	2309	19
0	2309	17

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))

Outputs

(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))

(/.f64 (fma.f64 x x (fma.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x (fma.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))

Call 2

Inputs
(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
(/ (- (* (neg x) (neg x)) (* (* y 4) y)) (+ (* (neg x) (neg x)) (* (* y 4) y)))
(/ (- (* x x) (* (* (neg y) 4) (neg y))) (+ (* x x) (* (* (neg y) 4) (neg y))))
(neg (/ (- (* (neg x) (neg x)) (* (* y 4) y)) (+ (* (neg x) (neg x)) (* (* y 4) y))))
(neg (/ (- (* x x) (* (* (neg y) 4) (neg y))) (+ (* x x) (* (* (neg y) 4) (neg y)))))
(/ (- (* y y) (* (* x 4) x)) (+ (* y y) (* (* x 4) x)))

Outputs
(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
(/ (- (* (neg x) (neg x)) (* (* y 4) y)) (+ (* (neg x) (neg x)) (* (* y 4) y)))
(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
(/ (- (* x x) (* (* (neg y) 4) (neg y))) (+ (* x x) (* (* (neg y) 4) (neg y))))
(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
(neg (/ (- (* (neg x) (neg x)) (* (* y 4) y)) (+ (* (neg x) (neg x)) (* (* y 4) y))))
(/ (+ (* x x) (* y (* y -4))) (- (* y (* y -4)) (* x x)))
(neg (/ (- (* x x) (* (* (neg y) 4) (neg y))) (+ (* x x) (* (* (neg y) 4) (neg y)))))
(/ (+ (* x x) (* y (* y -4))) (- (* y (* y -4)) (* x x)))
(/ (- (* y y) (* (* x 4) x)) (+ (* y y) (* (* x 4) x)))
(/ (+ (* y y) (* x (* x -4))) (+ (* y y) (* x (* x 4))))

Symmetry

(abs x)

(abs y)

explain136.0ms (1.4%)

Memory

-1.4MiB live, 333.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
14	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	110	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	58
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	110
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	58
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	110
↳	`(*.f64 x x)`	overflow	66
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	14	0
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	58
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	u/u	10	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	61
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	10
↳	`(*.f64 x x)`	underflow	57
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	61
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	10
↳	`(*.f64 x x)`	underflow	57

Confusion

	Predicted +	Predicted -
+	120	0
-	0	136

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	0
-	0	0	136

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	136
1	106
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (59% of total)

ival-div: 3.0ms (14.7% of total)

ival-sub: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

ival-true: 1.0ms (4.9% of total)

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 21 to 9 computations (57.1% saved)

simplify72.0ms (0.7%)

Memory

10.2MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
✓	cost-diff	192	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	cost-diff	192	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Rules

880×	`accelerator-lowering-fma.f32`
880×	`accelerator-lowering-fma.f64`
738×	`times-frac`
592×	`-lowering-.f32`
592×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	21	51
2	50	51
3	106	51
4	208	51
5	337	51
6	504	51
7	716	51
8	1183	51
9	2194	51
10	2243	51
11	2281	51
12	2309	51
13	2309	51
0	2309	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
(- (* x x) (* (* y 4) y))
(* x x)
x
(* (* y 4) y)
(* y 4)
y
4
(+ (* x x) (* (* y 4) y))

Outputs
(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
(/.f64 (fma.f64 x x (fma.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x (fma.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(- (* x x) (* (* y 4) y))
(fma.f64 x x (fma.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* (* y 4) y)
(fma.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y 4)
(fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64))
y
4
#s(literal 4 binary64)
(+ (* x x) (* (* y 4) y))
(fma.f64 x x (fma.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))

localize31.0ms (0.3%)

Memory

-17.9MiB live, 59.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	95.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	54.1%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Samples

17.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (56.8% of total)

ival-div: 2.0ms (22.7% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (- (* x x) (* (* y 4) y))>
#<alt (+ (* x x) (* (* y 4) y))>
#<alt (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))>
#<alt (* x x)>

Outputs
#<alt (* -4 (pow y 2))>
#<alt (- (pow x 2) (* 4 (pow y 2)))>
#<alt (- (pow x 2) (* 4 (pow y 2)))>
#<alt (- (pow x 2) (* 4 (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* 4 (pow y 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (* 4 (pow y 2))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* 4 (pow y 2))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	0	(- (* x x) (* (* y 4) y))
1.0ms	x	@	inf	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))

rewrite550.0ms (5.7%)

Memory

-32.6MiB live, 539.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 732×	`accelerator-lowering-fma.f32`
4 732×	`accelerator-lowering-fma.f64`
4 522×	`-lowering-.f32`
4 522×	`-lowering-.f64`
2 930×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	48	40
2	391	40
3	6323	40
0	8489	36

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 602

Calls

Call 1

Inputs
(- (* x x) (* (* y 4) y))
(+ (* x x) (* (* y 4) y))
(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
(* x x)

Outputs
(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))) (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 16 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))))
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(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))) (.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))) (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify1.0s (10.9%)

Memory

20.5MiB live, 733.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 822×	`accelerator-lowering-fma.f32`
18 822×	`accelerator-lowering-fma.f64`
7 268×	`-lowering-.f32`
7 268×	`-lowering-.f64`
2 750×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	948
1	319	894
2	960	808
3	4074	800
0	8265	730

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* -4 (pow y 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 0 binary64))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (pow y 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (pow y 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (.f64 (*.f64 y y) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (.f64 (*.f64 y y) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) #s(literal -128 binary64)) (/.f64 #s(literal 32 binary64) (.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (fma.f64 x (.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64)) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (fma.f64 x (.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64)) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval84.0ms (0.9%)

Memory: 14.5MiB live, 200.0MiB allocated
Compiler: Compiled 37 134 to 1 543 computations (95.8% saved)

prune97.0ms (1%)

Memory

-5.7MiB live, 243.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	700	7	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	701	7	708

Accuracy

99.2%

Counts

708 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.7%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
▶	51.1%	(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
	53.1%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
	53.1%	(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y)))
▶	53.1%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
▶	52.0%	#s(literal 1 binary64)
▶	48.2%	#s(literal -1 binary64)

Compiler

Compiled 182 to 110 computations (39.6% saved)

simplify361.0ms (3.7%)

Memory

-3.1MiB live, 310.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
✓	cost-diff	-64	(*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
✓	cost-diff	192	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Rules

2 800×	`accelerator-lowering-fma.f32`
2 800×	`accelerator-lowering-fma.f64`
2 224×	`-lowering-.f32`
2 224×	`-lowering-.f64`
918×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	111
1	53	111
2	132	111
3	267	111
4	426	111
5	574	111
6	749	111
7	1116	111
8	2489	111
9	4136	111
10	4644	111
11	4788	111
12	4832	111
13	4848	111
14	4852	111
15	5118	111
16	5234	111
17	5234	111
18	5234	111
19	5414	111
20	5577	111
21	5725	111
22	5732	111
23	5888	111
24	6124	111
25	6156	111
26	6156	111
0	6156	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x x) (* (* y 4) y)) (+ (* (* y 4) y) (* x x)))
(- (* x x) (* (* y 4) y))
(* x x)
x
(* (* y 4) y)
(* y 4)
y
4
(+ (* (* y 4) y) (* x x))
-1
1
(+ (* y (* (/ y (+ (* x x) 0)) -8)) 1)
y
(* (/ y (+ (* x x) 0)) -8)
(/ y (+ (* x x) 0))
(+ (* x x) 0)
x
0
-8
1
(+ (* (+ (* x x) 0) (/ 1/2 (* y y))) -1)
(+ (* x x) 0)
x
0
(/ 1/2 (* y y))
1/2
(* y y)
y
-1

Outputs
(/ (- (* x x) (* (* y 4) y)) (+ (* (* y 4) y) (* x x)))
(/.f64 (fma.f64 y (fma.f64 y #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(- (* x x) (* (* y 4) y))
(fma.f64 y (fma.f64 y #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* (* y 4) y)
(fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y 4)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
y
4
#s(literal 4 binary64)
(+ (* (* y 4) y) (* x x))
(fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ (* y (* (/ y (+ (* x x) 0)) -8)) 1)
(fma.f64 y (fma.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
y
(* (/ y (+ (* x x) 0)) -8)
(fma.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64) #s(literal 0 binary64))
(/ y (+ (* x x) 0))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
-8
#s(literal -8 binary64)
1
#s(literal 1 binary64)
(+ (* (+ (* x x) 0) (/ 1/2 (* y y))) -1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal -1 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(/ 1/2 (* y y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
-1
#s(literal -1 binary64)

localize178.0ms (1.8%)

Memory

-7.6MiB live, 187.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓	accuracy	82.9%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	99.9%	(*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64))
✓	accuracy	97.7%	(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
✓	accuracy	91.4%	(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	95.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	54.1%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))

Samples

40.0ms

256×

valid

Compiler

Compiled 115 to 25 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (55.9% of total)

ival-div: 5.0ms (20% of total)

ival-add: 4.0ms (16% of total)

ival-sub: 1.0ms (4% of total)

exact: 1.0ms (4% of total)

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

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

series13.0ms (0.1%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

12 → 228

Calls

Call 1

Inputs
#<alt (- (* x x) (* (* y 4) y))>
#<alt (/ (- (* x x) (* (* y 4) y)) (+ (* (* y 4) y) (* x x)))>
#<alt (+ (* (* y 4) y) (* x x))>
#<alt (* x x)>
#<alt (+ (* y (* (/ y (+ (* x x) 0)) -8)) 1)>
#<alt (/ y (+ (* x x) 0))>
#<alt (+ (* x x) 0)>
#<alt (* (/ y (+ (* x x) 0)) -8)>
#<alt (+ (* (+ (* x x) 0) (/ 1/2 (* y y))) -1)>
#<alt (/ 1/2 (* y y))>
#<alt (* y y)>
#<alt (* y 4)>

Outputs
#<alt (* -4 (pow y 2))>
#<alt (- (pow x 2) (* 4 (pow y 2)))>
#<alt (- (pow x 2) (* 4 (pow y 2)))>
#<alt (- (pow x 2) (* 4 (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt (pow x 2)>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (* 4 (pow y 2))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* 4 (pow y 2))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))>
#<alt (* 4 (pow y 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (+ (* 4 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (+ (* x x) 0) (/ 1/2 (* y y))) -1)
1.0ms	y	@	inf	(+ (* y (* (/ y (+ (* x x) 0)) -8)) 1)
1.0ms	y	@	inf	(/ y (+ (* x x) 0))
1.0ms	x	@	0	(+ (* y (* (/ y (+ (* x x) 0)) -8)) 1)
0.0ms	x	@	inf	(+ (* (+ (* x x) 0) (/ 1/2 (* y y))) -1)

rewrite493.0ms (5.1%)

Memory

-0.1MiB live, 1 119.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 348×	`accelerator-lowering-fma.f32`
8 348×	`accelerator-lowering-fma.f64`
4 126×	`-lowering-.f32`
4 126×	`-lowering-.f64`
4 108×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	88
1	136	88
2	1220	88
0	8590	82

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 904

Calls

Call 1

Inputs
(- (* x x) (* (* y 4) y))
(/ (- (* x x) (* (* y 4) y)) (+ (* (* y 4) y) (* x x)))
(+ (* (* y 4) y) (* x x))
(* x x)
(+ (* y (* (/ y (+ (* x x) 0)) -8)) 1)
(/ y (+ (* x x) 0))
(+ (* x x) 0)
(* (/ y (+ (* x x) 0)) -8)
(+ (* (+ (* x x) 0) (/ 1/2 (* y y))) -1)
(/ 1/2 (* y y))
(* y y)
(* y 4)

Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y (.f64 y #s(literal -4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 64 binary64)) (fma.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))))
(+.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))))
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(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (.f64 y y))))
(/.f64 (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 y y) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 x (/.f64 x (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 y y) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (*.f64 y y)))))
(.f64 (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (*.f64 y y) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 y y)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)

simplify596.0ms (6.2%)

Memory

15.9MiB live, 963.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 606×	`accelerator-lowering-fma.f32`
19 606×	`accelerator-lowering-fma.f64`
7 082×	`-lowering-.f32`
7 082×	`-lowering-.f64`
2 960×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	2060
1	351	1806
2	1051	1724
3	4366	1708
0	8448	1602

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(pow x 2)
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)

Outputs
(* -4 (pow y 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 0 binary64))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (pow y 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (pow y 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 #s(literal -128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 #s(literal -128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 #s(literal -128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) #s(literal -1 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 y (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))

eval211.0ms (2.2%)

Memory: -6.6MiB live, 374.1MiB allocated
Compiler: Compiled 45 510 to 2 750 computations (94% saved)

prune151.0ms (1.6%)

Memory

-2.4MiB live, 362.6MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 338	6	1 344
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	1 343	8	1 351

Accuracy

99.7%

Counts

1 351 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
▶	49.7%	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
▶	47.6%	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
▶	51.1%	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
	53.1%	(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
▶	53.1%	(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	52.0%	#s(literal 1 binary64)
✓	48.2%	#s(literal -1 binary64)

Compiler

Compiled 180 to 116 computations (35.6% saved)

simplify11.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -4 binary64)))
✓	cost-diff	0	(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x)
✓	cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 y (*.f64 x x))
✓	cost-diff	0	(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
✓	cost-diff	0	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 y #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal -8 binary64)) x)
✓	cost-diff	384	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))

Rules

192×	`-lowering-.f32`
192×	`-lowering-.f64`
68×	`accelerator-lowering-fma.f32`
68×	`accelerator-lowering-fma.f64`
62×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	167
1	77	167
2	140	167
3	182	167
4	189	167
0	189	159

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize127.0ms (1.3%)

Memory

6.1MiB live, 241.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.5%	(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
✓	accuracy	54.1%	(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.8%	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓	accuracy	95.6%	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
✓	accuracy	90.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
✓	accuracy	97.7%	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
✓	accuracy	91.4%	(/.f64 y (*.f64 x x))
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal -8 binary64)) x)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 y #s(literal -8 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 161 to 37 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (49% of total)

ival-div: 14.0ms (32.6% of total)

ival-add: 7.0ms (16.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series33.0ms (0.3%)

Memory

-16.2MiB live, 24.0MiB allocated

Counts

20 → 396

Calls

Call 1

Inputs
#<alt (+ (* (/ (* y -8) x) (/ y x)) 1)>
#<alt (/ (* y -8) x)>
#<alt (* y -8)>
#<alt (/ y x)>
#<alt (+ (* y (* (/ y (* x x)) -8)) 1)>
#<alt (* (/ y (* x x)) -8)>
#<alt (/ y (* x x))>
#<alt (* x x)>
#<alt (+ (* (* (/ 1/2 (* y y)) x) x) -1)>
#<alt (* (/ 1/2 (* y y)) x)>
#<alt (/ 1/2 (* y y))>
#<alt (* y y)>
#<alt (+ (* (/ x y) (/ (* x 1/2) y)) -1)>
#<alt (/ x y)>
#<alt (/ (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (/ (+ (* x x) (* y (* y -4))) (+ (* (* y 4) y) (* x x)))>
#<alt (+ (* x x) (* y (* y -4)))>
#<alt (* y (* y -4))>
#<alt (* y -4)>

Outputs
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 (/ y x))>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (* -8 y)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))>
#<alt (* -8 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (* -8 (/ y (pow x 2)))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt (* -4 (pow y 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 (pow y 2))>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>

Calls

99 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(/ (* y -8) x)
3.0ms	x	@	0	(+ (* (/ x y) (/ (* x 1/2) y)) -1)
1.0ms	x	@	inf	(* (/ 1/2 (* y y)) x)
1.0ms	y	@	inf	(/ (* y -8) x)
1.0ms	y	@	0	(/ (* y -8) x)

rewrite517.0ms (5.4%)

Memory

-18.9MiB live, 681.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 820×	`/-lowering-/.f32`
4 820×	`/-lowering-/.f64`
4 760×	`accelerator-lowering-fma.f32`
4 760×	`accelerator-lowering-fma.f64`
4 280×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	132
1	192	132
2	1616	128
0	8370	121

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 872

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (.f64 y (.f64 y #s(literal -8 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y #s(literal -8 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -8 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (.f64 x x)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (.f64 y (.f64 y #s(literal -8 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (.f64 x x)))))
(fma.f64 y (.f64 #s(literal -8 binary64) (/.f64 y (.f64 x x))) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal -8 binary64) (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal -8 binary64)) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y (.f64 x x))) y #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y (.f64 x x))) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 y #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64)) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 y #s(literal -8 binary64))) x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 y #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal 8 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x y))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 #s(literal -8 binary64) (/.f64 y (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (*.f64 y #s(literal -8 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 y #s(literal -8 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 y #s(literal 8 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 8 binary64)) x) (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 8 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 y x) (.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y (.f64 y #s(literal -8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 y (*.f64 y #s(literal -8 binary64))) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal 8 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 y #s(literal -8 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 y #s(literal 8 binary64)) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -8 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal -8 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 y #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) x) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (.f64 y (.f64 y #s(literal -8 binary64))) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64)) (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y #s(literal 8 binary64)) #s(literal -1 binary64)) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 y #s(literal 8 binary64)) x) #s(literal 1 binary64))
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(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x (.f64 y (.f64 y #s(literal -4 binary64))))))))
(/.f64 (.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal -4 binary64)))))
(/.f64 (.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (.f64 x x)))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))))) (neg.f64 (-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x (.f64 y (.f64 y #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) x))))) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)))) (.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))))) (neg.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal -4 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -4 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (*.f64 x x))))))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal -4 binary64)))))))))
(.f64 (.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64))))))
(.f64 (.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (*.f64 x x))))
(.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (*.f64 x x)))))))
(.f64 y (.f64 y #s(literal -4 binary64)))
(.f64 (.f64 y y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal -4 binary64)) y)
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)

simplify900.0ms (9.3%)

Memory

-17.2MiB live, 901.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 078×	`accelerator-lowering-fma.f32`
19 078×	`accelerator-lowering-fma.f64`
6 874×	`-lowering-.f32`
6 874×	`-lowering-.f64`
2 942×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	2909
1	345	2826
2	1009	2744
3	4145	2650
0	8201	2526

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -8 (/ (pow y 2) (pow x 2)))
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(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
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1
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(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
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(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
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(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
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(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -8 (/ y (pow x 2)))
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(* -8 (/ y (pow x 2)))
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(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
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-1
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1
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1
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1
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-1
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-1
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(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
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(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 (pow y 2))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 #s(literal -8 binary64) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 #s(literal -8 binary64) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 #s(literal -8 binary64) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 (/ y x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 #s(literal -8 binary64) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 #s(literal -8 binary64) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 #s(literal -8 binary64) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(* -8 (/ y (pow x 2)))
(*.f64 #s(literal -8 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(/ y (pow x 2))
(/.f64 y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 y y))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
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(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (fma.f64 x (.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64)) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))

eval168.0ms (1.7%)

Memory: 18.8MiB live, 320.5MiB allocated
Compiler: Compiled 22 808 to 1 667 computations (92.7% saved)

prune86.0ms (0.9%)

Memory

-10.5MiB live, 202.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 287	1	1 288
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	1 289	7	1 296

Accuracy

99.7%

Counts

1 296 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
✓	49.7%	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
✓	47.6%	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
✓	51.1%	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
▶	53.1%	(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	52.0%	#s(literal 1 binary64)
✓	48.2%	#s(literal -1 binary64)

Compiler

Compiled 73 to 48 computations (34.2% saved)

simplify5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
✓	cost-diff	(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
20×	`accelerator-lowering-fma.f32`
20×	`accelerator-lowering-fma.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	20	50
2	25	50
0	25	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
(+ (* (* y -4) y) (* x x))
(* y -4)
y
-4
(* x x)
x
(+ (* (* y 4) y) (* x x))
(* y 4)
4

Outputs
(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
(+ (* (* y -4) y) (* x x))
(fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))
(* y -4)
(*.f64 y #s(literal -4 binary64))
y
-4
#s(literal -4 binary64)
(* x x)
(*.f64 x x)
x
(+ (* (* y 4) y) (* x x))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* y 4)
(*.f64 y #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize34.0ms (0.3%)

Memory

14.3MiB live, 52.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.0%	(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
✓	accuracy	54.1%	(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))

Samples

22.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (60.4% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))>
#<alt (+ (* (* y -4) y) (* x x))>
#<alt (* y -4)>
#<alt (* x x)>

Outputs
#<alt 1>
#<alt (+ 1 (* -8 (/ (pow y 2) (pow x 2))))>
#<alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))>
#<alt -1>
#<alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* -4 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))>
#<alt (* -4 (pow y 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (+ (* -4 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
0.0ms	y	@	inf	(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
0.0ms	y	@	-inf	(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
0.0ms	x	@	inf	(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
0.0ms	x	@	-inf	(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))

rewrite493.0ms (5.1%)

Memory

13.7MiB live, 477.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 764×	`accelerator-lowering-fma.f32`
5 764×	`accelerator-lowering-fma.f64`
4 190×	`-lowering-.f32`
4 190×	`-lowering-.f64`
1 796×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	53	34
2	396	34
3	5712	34
0	8481	31

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 237

Calls

Call 1

Inputs
(/ (+ (* (* y -4) y) (* x x)) (+ (* (* y 4) y) (* x x)))
(+ (* (* y -4) y) (* x x))
(* y -4)
(* x x)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 y (.f64 y #s(literal -4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 y (*.f64 y #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64))))) (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))))))
(+.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))))) (.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(+.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))))) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
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(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64))))) (-.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))) (.f64 x (.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))))) (-.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))) (.f64 x (.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 16 binary64))))))
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify845.0ms (8.8%)

Memory

-144.3MiB live, 911.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 876×	`accelerator-lowering-fma.f32`
18 876×	`accelerator-lowering-fma.f64`
7 240×	`-lowering-.f32`
7 240×	`-lowering-.f64`
2 808×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	828
1	300	828
2	900	682
3	3848	674
0	8147	622

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) #s(literal -128 binary64)) (/.f64 #s(literal 32 binary64) (.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
(* -4 (pow y 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval58.0ms (0.6%)

Memory: 10.4MiB live, 85.8MiB allocated
Compiler: Compiled 13 216 to 683 computations (94.8% saved)

prune78.0ms (0.8%)

Memory

5.8MiB live, 83.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	327	0	327
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	327	7	334

Accuracy

99.7%

Counts

334 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
✓	49.7%	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
✓	47.6%	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
✓	51.1%	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
✓	53.1%	(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	52.0%	#s(literal 1 binary64)
✓	48.2%	#s(literal -1 binary64)

Compiler

Compiled 263 to 98 computations (62.7% saved)

regimes48.0ms (0.5%)

Memory

14.1MiB live, 51.3MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
(/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

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

(/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) y (*.f64 x x)))

(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))

Calls

5 calls:

29.0ms	(*.f64 x x)
5.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
4.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
85.1%	3	`x`
84.7%	3	`y`
79.8%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
85.1%	3	`(*.f64 x x)`
84.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes9.0ms (0.1%)

Memory

-17.4MiB live, 19.2MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))

Outputs

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

(/.f64 (fma.f64 x x (*.f64 y (*.f64 y #s(literal -4 binary64)))) (fma.f64 (*.f64 y #s(literal 4 binary64)) y (*.f64 x x)))

(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))

Calls

2 calls:

5.0ms	(*.f64 x x)
3.0ms	x

Results

Accuracy	Segments	Branch
85.1%	3	`x`
85.1%	3	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes19.0ms (0.2%)

Memory

-9.0MiB live, 30.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))

Outputs
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))

Calls

4 calls:

9.0ms	y
3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
79.8%	2	`y`
79.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
79.3%	2	`x`
79.3%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))

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

Calls

3 calls:

3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
78.4%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
79.4%	2	`y`
79.4%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes13.0ms (0.1%)

Memory

-9.3MiB live, 28.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))

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

Calls

4 calls:

5.0ms	(*.f64 x x)
3.0ms	y
3.0ms	x
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
78.4%	2	`x`
78.4%	2	`(*.f64 x x)`
79.2%	2	`y`
79.2%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)

Calls

2 calls:

2.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
79.0%	2	`y`
79.0%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

-17.3MiB live, 20.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

5 calls:

3.0ms	(*.f64 x x)
1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
48.2%	1	`x`
48.2%	1	`(*.f64 x x)`
48.2%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
48.2%	1	`y`
48.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8491902842375556e+210	1.73604572735442e+212
0.0ms	2.283669743654782e-240	7.9077019307229e-235

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8491902842375556e+210	1.73604572735442e+212
0.0ms	2.283669743654782e-240	7.9077019307229e-235

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6555320720150644e+48	2.4261841428656825e+53

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6555320720150644e+48	2.4261841428656825e+53

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6555320720150644e+48	2.4261841428656825e+53

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6555320720150644e+48	2.4261841428656825e+53

Compiler

Compiled 20 to 14 computations (30% saved)

simplify9.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	175
1	54	175

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 1876879207201175/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) (/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1876879207201175/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 x x) #s(literal 1876879207201175/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) (/.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1876879207201175/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) x #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness947.0ms (9.8%)

Memory

-8.0MiB live, 796.9MiB allocated

Rules

18 822×	`accelerator-lowering-fma.f32`
18 822×	`accelerator-lowering-fma.f64`
8 348×	`accelerator-lowering-fma.f32`
8 348×	`accelerator-lowering-fma.f64`
7 268×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	48	40
2	391	40
3	6323	40
0	8489	36
0	23	88
1	136	88
2	1220	88
0	8590	82
0	115	948
1	319	894
2	960	808
3	4074	800
0	8265	730
0	35	132
1	192	132
2	1616	128
0	8370	121

Stop Event

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

Compiler

Compiled 489 to 245 computations (49.9% saved)

preprocess70.0ms (0.7%)

Memory

7.2MiB live, 165.6MiB allocated

Remove

(abs y)

(abs x)

Compiler

Compiled 766 to 264 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample911.0ms (9.5%)

preprocess208.0ms (2.2%)

explain136.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify72.0ms (0.7%)

localize31.0ms (0.3%)

series6.0ms (0.1%)

rewrite550.0ms (5.7%)

simplify1.0s (10.9%)

eval84.0ms (0.9%)

prune97.0ms (1%)

simplify361.0ms (3.7%)

localize178.0ms (1.8%)

series13.0ms (0.1%)

rewrite493.0ms (5.1%)

simplify596.0ms (6.2%)

eval211.0ms (2.2%)

prune151.0ms (1.6%)

simplify11.0ms (0.1%)

localize127.0ms (1.3%)

series33.0ms (0.3%)

rewrite517.0ms (5.4%)

simplify900.0ms (9.3%)

eval168.0ms (1.7%)

prune86.0ms (0.9%)

simplify5.0ms (0.1%)

localize34.0ms (0.3%)

series2.0ms (0%)

rewrite493.0ms (5.1%)

simplify845.0ms (8.8%)

eval58.0ms (0.6%)

prune78.0ms (0.8%)

regimes48.0ms (0.5%)

regimes9.0ms (0.1%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness947.0ms (9.8%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling