Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

analyze47.0ms (0.5%)

Memory

-4.9MiB live, 78.3MiB 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
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample895.0ms (9.8%)

Memory

22.0MiB live, 1 413.5MiB allocated

Samples

591.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 210.0ms (57.2% of total)

ival-div: 74.0ms (20.2% of total)

ival-add: 35.0ms (9.5% of total)

ival-sub: 33.0ms (9% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

preprocess394.0ms (4.3%)

Memory

4.7MiB live, 510.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 972×	`lower-fma.f64`
12 972×	`lower-fma.f32`
3 732×	`lower-*.f32`
3 724×	`lower-*.f64`
2 414×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	147	135
2	489	135
3	2191	135
4	6834	117
0	11	15
0	18	15
1	32	15
2	69	15
3	136	15
4	295	15
5	630	15
6	1505	13
7	3475	13
8	7859	13
0	8033	12

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

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

Symmetry

(abs z)

(abs x)

(negabs y)

explain129.0ms (1.4%)

Memory

1.5MiB live, 244.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	2	(9.801637253162198e-284 2.1225640515730724e-185 3.7380153767899846e-160)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
24	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	61	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	158
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	72
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	119
↳	`(*.f64 z z)`	overflow	63
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	24	0
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	72
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	119
↳	`(*.f64 z z)`	overflow	63
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	2
↳	`(*.f64 y y)`	underflow	58
↳	`(*.f64 x x)`	underflow	63
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	15
↳	`(*.f64 z z)`	underflow	63

Confusion

	Predicted +	Predicted -
+	78	2
-	0	176

Precision

1.0

Recall

0.975

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	2
-	0	0	176

Precision?

1.0

Recall?

0.975

Freqs

test

number	freq
0	178
1	69
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions

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

ival-mult: 13.0ms (60.2% of total)

ival-div: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% of total)

ival-add: 2.0ms (9.3% of total)

ival-true: 0.0ms (0% 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 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify509.0ms (5.6%)

Memory

-118.6MiB live, 480.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	128	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	cost-diff	192	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Rules

12 972×	`lower-fma.f64`
12 972×	`lower-fma.f32`
3 732×	`lower-*.f32`
3 724×	`lower-*.f64`
2 414×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1505	47
7	3475	47
8	7859	47
0	8033	44

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (0.5%)

Memory

-16.3MiB live, 40.7MiB 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 y y))
✓	accuracy	91.5%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	76.9%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.7% of total)

ival-div: 2.0ms (19.2% of total)

ival-sub: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

-26.0MiB live, 13.0MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))>
#<alt (+.f64 (.f64 x x) (.f64 y y))>
#<alt (*.f64 x x)>

Outputs
#<alt (* 1/2 (/ (- (pow y 2) (pow z 2)) y))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (- (pow y 2) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (- (pow x 2) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 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)>

Calls

27 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(* x x)
1.0ms	x	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	x	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	-inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

rewrite414.0ms (4.5%)

Memory

38.3MiB live, 425.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 846×	`lower-*.f32`
5 838×	`lower-*.f64`
5 096×	`lower-fma.f64`
5 096×	`lower-fma.f32`
4 708×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	68	36
2	569	36
0	8301	33

Stop Event

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

Counts

4 → 522

Calls

Call 1

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

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

simplify362.0ms (4%)

Memory

11.5MiB live, 332.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
4 752×	`lower-*.f64`
4 752×	`lower-*.f32`
1 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1128
1	196	1128
2	566	1042
3	2179	1028
4	6045	1004
0	8180	918

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(- (pow x 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (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)

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

eval131.0ms (1.4%)

Memory: -2.2MiB live, 108.9MiB allocated
Compiler: Compiled 26 378 to 1 591 computations (94% saved)

prune161.0ms (1.8%)

Memory

-21.6MiB live, 139.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	620	10	630
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	621	10	631

Accuracy

100.0%

Counts

631 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(/.f64 (fma.f64 x x (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
▶	61.1%	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))
▶	33.0%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
▶	33.0%	(/.f64 (.f64 z (neg.f64 z)) (.f64 y #s(literal 2 binary64)))
	29.4%	(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
	72.9%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
▶	99.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
	64.5%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
	65.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
▶	36.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 246 to 160 computations (35% saved)

simplify496.0ms (5.4%)

Memory

9.5MiB live, 455.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 (+.f64 z x) (-.f64 x z))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 z (neg.f64 z))
✓	cost-diff	128	(/.f64 (.f64 z (neg.f64 z)) (.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 x z) y)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))

Rules

15 442×	`lower-fma.f32`
15 440×	`lower-fma.f64`
2 372×	`lower-*.f32`
2 358×	`lower-*.f64`
2 028×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	37	110
1	77	110
2	186	110
3	517	110
4	1517	110
5	3971	110
6	7215	110
0	8353	110

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (0.9%)

Memory

-18.3MiB live, 99.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 z x) (-.f64 x z))
✓	accuracy	90.9%	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 z (neg.f64 z))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	87.0%	(/.f64 (.f64 z (neg.f64 z)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(.f64 (.f64 z z) #s(literal -1/2 binary64))
✓	accuracy	87.3%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

38.0ms

256×

valid

Compiler

Compiled 115 to 24 computations (79.1% saved)

Precisions

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

ival-mult: 11.0ms (47.4% of total)

ival-div: 6.0ms (25.9% of total)

ival-add: 3.0ms (12.9% of total)

ival-sub: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

15 → 336

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))>
#<alt (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)>
#<alt (+.f64 z x)>
#<alt (/.f64 (-.f64 x z) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)>
#<alt (.f64 (.f64 z z) #s(literal -1/2 binary64))>
#<alt (*.f64 z z)>
#<alt (/.f64 (.f64 z (neg.f64 z)) (.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 z (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (+.f64 z x) (-.f64 x z))>
#<alt (-.f64 x z)>

Outputs
#<alt (* 1/2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (+ y (* -1 (/ (pow z 2) y))))>
#<alt (+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (/ (* (+ x z) (- x z)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (/ z y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (pow x 2)>
#<alt (+ (* z (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))>
#<alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))>
#<alt (* -1 (pow z 2))>
#<alt (+ (* -1 (pow z 2)) (* x (+ z (* -1 z))))>
#<alt (+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))>
#<alt (+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ (* (* z z) -1/2) y)
2.0ms	x	@	inf	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))
1.0ms	z	@	inf	(/ (* (* z z) -1/2) y)
1.0ms	x	@	0	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))
1.0ms	y	@	0	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))

rewrite453.0ms (5%)

Memory

7.3MiB live, 397.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 516×	`lower-fma.f32`
7 514×	`lower-fma.f64`
6 080×	`lower-*.f32`
6 066×	`lower-*.f64`
3 476×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	37	85
1	135	85
2	998	85
0	8751	85

Stop Event

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

Counts

15 → 1 088

Calls

Call 1

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

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

simplify552.0ms (6.1%)

Memory

5.7MiB live, 398.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 278×	`lower-fma.f64`
9 278×	`lower-fma.f32`
3 250×	`lower-*.f64`
3 250×	`lower-*.f32`
2 996×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	3018
1	902	2632
2	3203	2543
3	7823	2527
0	8908	2462

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 325

Calls

Call 1

Inputs
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
y
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ (pow x 2) y))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(pow x 2)
(+ (* z (+ x (* -1 x))) (pow x 2))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z))))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))

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

eval279.0ms (3.1%)

Memory: -23.6MiB live, 339.8MiB allocated
Compiler: Compiled 32 021 to 3 297 computations (89.7% saved)

prune225.0ms (2.5%)

Memory

6.9MiB live, 450.7MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 613	5	1 618
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	1 618	10	1 628

Accuracy

100.0%

Counts

1 628 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(/.f64 (fma.f64 x x (.f64 z (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
✓	33.0%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
▶	29.4%	(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
▶	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
	33.0%	(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
▶	65.6%	(.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))
▶	36.1%	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
	64.5%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
▶	65.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
✓	36.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 202 to 138 computations (31.7% saved)

simplify525.0ms (5.8%)

Memory

-8.8MiB live, 669.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(/.f64 (*.f64 z z) y)
✓	cost-diff	0	(-.f64 y (/.f64 (*.f64 z z) y))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) y) z)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))

Rules

16 744×	`lower-fma.f64`
16 744×	`lower-fma.f32`
3 168×	`lower-*.f32`
3 148×	`lower-*.f64`
1 772×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	120
0	43	118
1	79	118
2	171	118
3	418	118
4	1052	118
5	2760	118
6	7103	118
0	8046	118

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (0.8%)

Memory

38.6MiB live, 156.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 z (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
✓	accuracy	87.2%	(/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
✓	accuracy	100.0%	(-.f64 y (/.f64 (*.f64 z z) y))
✓	accuracy	87.0%	(/.f64 (*.f64 z z) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.1%	(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) y)
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) y) z)
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	99.8%	(.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))
✓	accuracy	99.7%	(*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y))

Samples

43.0ms

256×

valid

Compiler

Compiled 122 to 27 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 16.0ms (56.7% of total)

ival-div: 8.0ms (28.4% of total)

ival-sub: 3.0ms (10.6% of total)

ival-add: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-22.5MiB live, 55.2MiB allocated

Counts

18 → 384

Calls

Call 1

Inputs
#<alt (.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))>
#<alt (-.f64 z x)>
#<alt (*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y))>
#<alt (+.f64 z x)>
#<alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) z)>
#<alt (/.f64 #s(literal -1/2 binary64) y)>
#<alt (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))>
#<alt (-.f64 y (/.f64 (*.f64 z z) y))>
#<alt (/.f64 (*.f64 z z) y)>
#<alt (*.f64 z z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))>
#<alt (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))>
#<alt (.f64 z (.f64 z #s(literal -1/2 binary64)))>
#<alt (*.f64 z #s(literal -1/2 binary64))>

Outputs
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (+ (* -1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (+ (* -1 (/ x y)) (/ x y))) (* -1/2 (/ z y)))))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (+ (* -1 (/ x y)) (/ x y))) (* -1/2 (/ z y)))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (+ (* -1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* -1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1/2 (/ (* (+ x z) (- z x)) y))>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1/2 (/ x y))>
#<alt (+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))>
#<alt (+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))>
#<alt (+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))>
#<alt (* -1/2 (/ z y))>
#<alt (* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))>
#<alt (* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))>
#<alt (* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1 (* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))>
#<alt (* -1/2 (/ z y))>
#<alt (+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))>
#<alt (+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))>
#<alt (+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))>
#<alt (* -1/2 (/ x y))>
#<alt (* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))>
#<alt (* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))>
#<alt (* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1 (* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt (* -1/2 (/ (+ x z) y))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) 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)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* 1/2 y)>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt y>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt y>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(* 1/2 (- y (/ (* z z) y)))
2.0ms	y	@	0	(/ y (* z (* z -1/2)))
2.0ms	z	@	inf	(* (- z x) (* (+ z x) (/ -1/2 y)))
1.0ms	y	@	0	(* (- z x) (* (+ z x) (/ -1/2 y)))
1.0ms	y	@	0	(/ (* x x) (* y 2))

rewrite407.0ms (4.5%)

Memory

31.2MiB live, 663.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 356×	`lower-fma.f64`
6 356×	`lower-fma.f32`
5 938×	`lower-*.f32`
5 918×	`lower-*.f64`
4 168×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	100
0	43	98
1	140	98
2	931	98
0	8566	98

Stop Event

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

Counts

18 → 1 364

Calls

Call 1

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

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

simplify345.0ms (3.8%)

Memory

-21.0MiB live, 586.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 506×	`lower-fma.f64`
11 506×	`lower-fma.f32`
4 706×	`lower-*.f64`
4 706×	`lower-*.f32`
1 692×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	2534
1	517	2478
2	1699	2404
3	5593	2404
0	8137	2374

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 372

Calls

Call 1

Inputs
(* 1/2 (/ (pow x 2) y))
(+ (* -1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (+ (* -1 (/ x y)) (/ x y))) (* -1/2 (/ z y)))))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (+ (* -1 (/ x y)) (/ x y))) (* -1/2 (/ z y)))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* -1/2 (/ (pow z 2) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1/2 (/ (* (+ x z) (- z x)) y))
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1/2 (/ x y))
(+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))
(+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))
(+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))
(* -1/2 (/ z y))
(* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))
(* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))
(* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))
(* -1/2 (/ z y))
(* -1 (* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))
(* -1 (* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))
(* -1 (* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))
(* -1/2 (/ z y))
(+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))
(+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))
(+ (* -1/2 (/ x y)) (* -1/2 (/ z y)))
(* -1/2 (/ x y))
(* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))
(* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))
(* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))
(* -1/2 (/ x y))
(* -1 (* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))
(* -1 (* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))
(* -1 (* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
(* -1/2 (/ (+ x z) y))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(* -1/2 (/ z y))
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (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)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* 1/2 y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
y
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
y
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -2 (/ y (pow z 2)))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)

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

eval273.0ms (3%)

Memory: 20.4MiB live, 487.0MiB allocated
Compiler: Compiled 28 910 to 3 080 computations (89.3% saved)

prune219.0ms (2.4%)

Memory

-24.4MiB live, 579.6MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 762	3	1 765
Fresh	0	3	3
Picked	1	4	5
Done	0	2	2
Total	1 763	12	1 775

Accuracy

100.0%

Counts

1 775 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(/.f64 (fma.f64 x x (.f64 z (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
✓	33.0%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
▶	30.8%	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
▶	29.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
▶	33.0%	(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
✓	65.6%	(.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))
▶	30.8%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
✓	36.1%	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
▶	64.5%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	65.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
✓	36.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 194 to 133 computations (31.4% saved)

simplify9.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(/.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
✓	cost-diff	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(fma.f64 x (/.f64 x y) y)
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))

Rules

108×	`lower-*.f32`
90×	`lower-*.f64`
40×	`*-commutative`
36×	`lower-/.f32`
28×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	35	88
1	61	88
2	96	88
3	111	88
4	116	88
0	116	88

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (1.3%)

Memory

-16.5MiB live, 140.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.0%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	86.9%	(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	accuracy	99.9%	(fma.f64 x (/.f64 x y) y)

Samples

94.0ms

256×

valid

Compiler

Compiled 92 to 23 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 35.0ms (79.1% of total)

ival-div: 7.0ms (15.8% of total)

ival-add: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

14 → 276

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))>
#<alt (fma.f64 x (/.f64 x y) y)>
#<alt (/.f64 x y)>
#<alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))>
#<alt (/.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 z z)>
#<alt (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)>
#<alt (/.f64 x (*.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 y #s(literal 2 binary64))>

Outputs
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt y>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (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 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) 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 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (/ -1/2 y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) 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)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) 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 (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>

Calls

69 calls:

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

rewrite414.0ms (4.6%)

Memory

-6.6MiB live, 471.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 058×	`lower-fma.f32`
4 056×	`lower-fma.f64`
3 934×	`lower-*.f32`
3 918×	`lower-*.f64`
2 786×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	70
0	35	70
1	100	70
2	510	70
3	4774	70
0	8399	70

Stop Event

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

Counts

14 → 711

Calls

Call 1

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

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

simplify238.0ms (2.6%)

Memory

10.9MiB live, 358.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 690×	`lower-fma.f64`
5 690×	`lower-fma.f32`
3 286×	`lower-*.f64`
3 286×	`lower-*.f32`
1 476×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1512
1	133	1512
2	314	1512
3	1000	1512
4	2315	1512
5	5303	1512
0	8025	1476

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

Calls

Call 1

Inputs
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
y
(+ y (/ (pow x 2) y))
(+ y (/ (pow x 2) y))
(+ y (/ (pow x 2) y))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ (pow x 2) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
y
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
y
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(/ -1/2 y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (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)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

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

eval133.0ms (1.5%)

Memory: -14.1MiB live, 318.9MiB allocated
Compiler: Compiled 12 557 to 1 197 computations (90.5% saved)

prune129.0ms (1.4%)

Memory

9.0MiB live, 207.5MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1 018	0	1 018
Fresh	0	1	1
Picked	0	5	5
Done	0	6	6
Total	1 018	12	1 030

Accuracy

100.0%

Counts

1 030 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(/.f64 (fma.f64 x x (.f64 z (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
✓	33.0%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
✓	30.8%	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
✓	29.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
✓	33.0%	(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
✓	65.6%	(.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))
✓	30.8%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
✓	36.1%	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
✓	64.5%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	65.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
✓	36.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 306 to 149 computations (51.3% saved)

regimes38.0ms (0.4%)

Memory

-2.0MiB live, 75.9MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	y
6.0ms	(*.f64 x x)
6.0ms	z
6.0ms	x
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes48.0ms (0.5%)

Memory

11.1MiB live, 50.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

25.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
4.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
88.9%	2	`x`
88.7%	4	`y`
89.8%	3	`z`
96.3%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
88.9%	2	`(*.f64 x x)`
89.8%	3	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
93.9%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes47.0ms (0.5%)

Memory

2.6MiB live, 41.5MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

6 calls:

31.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
61.3%	5	`y`
63.9%	4	`z`
62.1%	3	`(*.f64 z z)`
62.6%	4	`x`
60.3%	3	`(*.f64 x x)`
76.7%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes3.0ms (0%)

Memory

-31.2MiB live, 5.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
67.6%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
36.0%	1	`y`
36.0%	1	`(*.f64 x x)`
36.0%	1	`x`
36.0%	1	`(*.f64 z z)`
36.0%	1	`z`
36.0%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	7.279907146261111e-156

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.279907146261111e-156

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.6359460386606244e+153	1.6473121780175743e+161
0.0ms	0.0	7.279907146261111e-156

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	7.279907146261111e-156

Compiler

Compiled 21 to 17 computations (19% saved)

simplify12.0ms (0.1%)

Memory

-19.8MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	245
1	65	245
2	76	245
3	82	245
4	85	245

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (.f64 (-.f64 z x) (*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
(*.f64 #s(literal 1/2 binary64) y)

Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (-.f64 z x) (.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (.f64 (-.f64 z x) (*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) y)

soundness707.0ms (7.8%)

Memory

6.9MiB live, 603.8MiB allocated

Rules

7 516×	`lower-fma.f32`
7 514×	`lower-fma.f64`
7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
6 356×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	100
0	43	98
1	140	98
2	931	98
0	8566	98
0	21	86
0	37	85
1	135	85
2	998	85
0	8751	85
0	71	1128
1	196	1128
2	566	1042
3	2179	1028
4	6045	1004
0	8180	918

Stop Event

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

Compiler

Compiled 372 to 137 computations (63.2% saved)

preprocess98.0ms (1.1%)

Memory

14.3MiB live, 160.1MiB allocated

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 658 to 188 computations (71.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze47.0ms (0.5%)

sample895.0ms (9.8%)

preprocess394.0ms (4.3%)

explain129.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify509.0ms (5.6%)

localize43.0ms (0.5%)

series30.0ms (0.3%)

rewrite414.0ms (4.5%)

simplify362.0ms (4%)

eval131.0ms (1.4%)

prune161.0ms (1.8%)

simplify496.0ms (5.4%)

localize81.0ms (0.9%)

series24.0ms (0.3%)

rewrite453.0ms (5%)

simplify552.0ms (6.1%)

eval279.0ms (3.1%)

prune225.0ms (2.5%)

simplify525.0ms (5.8%)

localize71.0ms (0.8%)

series28.0ms (0.3%)

rewrite407.0ms (4.5%)

simplify345.0ms (3.8%)

eval273.0ms (3%)

prune219.0ms (2.4%)

simplify9.0ms (0.1%)

localize119.0ms (1.3%)

series8.0ms (0.1%)

rewrite414.0ms (4.6%)

simplify238.0ms (2.6%)

eval133.0ms (1.5%)

prune129.0ms (1.4%)

regimes38.0ms (0.4%)

regimes48.0ms (0.5%)

regimes4.0ms (0%)

regimes47.0ms (0.5%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness707.0ms (7.8%)

preprocess98.0ms (1.1%)

end0.0ms (0%)

Profiling