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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.4%)

Memory

26.8MiB live, 65.5MiB 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)

sample836.0ms (8.6%)

Memory

26.5MiB live, 1 717.2MiB allocated

Samples

556.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-mult: 223.0ms (61% of total)

ival-div: 57.0ms (15.6% of total)

ival-add: 37.0ms (10.1% of total)

ival-sub: 36.0ms (9.8% 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

explain446.0ms (4.6%)

Memory

-17.8MiB live, 227.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
79	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
38	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
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	77	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	151
↳	`(*.f64 y y)`	overflow	79
↳	`(*.f64 x x)`	overflow	56
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	120
↳	`(*.f64 z z)`	overflow	69
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	38	0
↳	`(*.f64 y y)`	overflow	79
↳	`(*.f64 x x)`	overflow	56
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	120
↳	`(*.f64 z z)`	overflow	69
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/o	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	151
↳	`(*.f64 y y)`	overflow	79
↳	`(*.f64 x x)`	overflow	56
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	120
↳	`(*.f64 z z)`	overflow	69
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	2

Confusion

	Predicted +	Predicted -
+	97	0
-	0	159

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	97	0	0
-	0	0	159

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	159
1	77
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

213.0ms

512×

valid

Compiler

Compiled 120 to 37 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 186.0ms (94.7% of total)

ival-sub: 4.0ms (2% of total)

ival-div: 3.0ms (1.5% of total)

ival-add: 2.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess472.0ms (4.8%)

Memory

8.7MiB live, 318.7MiB 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)

Compiler

Compiled 18 to 11 computations (38.9% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.6%	(/.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)

simplify275.0ms (2.8%)

Memory

-11.7MiB live, 329.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)

localize29.0ms (0.3%)

Memory

15.1MiB live, 53.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	8.691360838264531	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	18.31956437648505	(/.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: 11.0ms

ival-mult: 7.0ms (61.9% of total)

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

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

-38.5MiB live, 8.0MiB allocated

Counts

4 → 108

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow x 2) (pow y 2)) (pow z 2)) (taylor 0 x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow x 2) (pow y 2)) (pow z 2)) (taylor 0 x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow x 2) (pow y 2)) (pow z 2)) (taylor 0 x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (- (+ (pow x 2) (pow y 2)) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow x 2) (pow y 2)) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow x 2) (pow y 2)) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) (taylor inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) (taylor inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) (taylor inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) (taylor -inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) (taylor -inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) (taylor -inf y) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) (taylor -inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) (taylor -inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) (taylor -inf z) (#s(alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (patch (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

27 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
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	@	-inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

simplify181.0ms (1.9%)

Memory

13.8MiB live, 238.6MiB 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)

rewrite302.0ms (3.1%)

Memory

26.3MiB live, 379.2MiB allocated

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

eval80.0ms (0.8%)

Memory: 11.8MiB live, 159.5MiB allocated
Compiler: Compiled 26 486 to 1 591 computations (94% saved)

prune106.0ms (1.1%)

Memory

-4.8MiB live, 237.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	619	11	630
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	620	11	631

Accuracy

100.0%

Counts

631 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.0%	(fma.f64 (/.f64 z y) (neg.f64 (.f64 z #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
	49.9%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64)) y) (.f64 y (.f64 (.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y))
	54.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
▶	24.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	68.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
	51.0%	(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64))))
	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
▶	65.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
▶	40.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 352 to 210 computations (40.3% saved)

simplify400.0ms (4.1%)

Memory

-9.3MiB live, 317.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

16 878×	`lower-fma.f32`
16 874×	`lower-fma.f64`
3 294×	`lower-*.f32`
3 282×	`lower-*.f64`
3 126×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	233
0	54	232
1	96	226
2	206	226
3	610	226
4	2052	226
5	5276	220
0	8109	220

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.9%)

Memory

-0.1MiB live, 156.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.16634750976844204	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
accuracy	1.999977980844482	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	18.684060203811217	(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
accuracy	0	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	7.225925259048242	(/.f64 (*.f64 z z) y)
accuracy	16.493542931923937	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	18.31956437648505	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	44.199124169451935	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	38.290915100714145	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	0.078125	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

51.0ms

256×

valid

Compiler

Compiled 205 to 30 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 13.0ms (38.9% of total)

ival-div: 8.0ms (23.9% of total)

ival-sub: 7.0ms (20.9% of total)

ival-add: 5.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.5%)

Memory

21.1MiB live, 93.8MiB allocated

Counts

19 → 552

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) (taylor 0 y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) (taylor 0 y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) (taylor 0 y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) (taylor -inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) (taylor -inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) (taylor -inf y) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) (taylor 0 z) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #<representation binary64>) () ())) ())
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#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x (* y z)) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x (* y z)) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x (* y z)) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())

Calls

138 calls:

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

simplify286.0ms (2.9%)

Memory

-35.8MiB live, 340.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 216×	`lower-fma.f64`
6 216×	`lower-fma.f32`
3 894×	`lower-*.f64`
3 894×	`lower-*.f32`
2 436×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	587	7560
1	1982	6873
0	8018	6514

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 535

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

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

rewrite304.0ms (3.1%)

Memory

38.9MiB live, 387.4MiB allocated

Rules

4 766×	`lower-/.f32`
4 756×	`lower-/.f64`
4 142×	`lower-*.f32`
4 130×	`lower-*.f64`
4 000×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	205
0	54	207
1	222	200
2	1905	200
0	8163	200

Stop Event

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

Counts

19 → 608

Calls

Call 1

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

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

eval190.0ms (1.9%)

Memory: -7.4MiB live, 316.2MiB allocated
Compiler: Compiled 28 451 to 2 594 computations (90.9% saved)

prune223.0ms (2.3%)

Memory

22.5MiB live, 366.2MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 149	12	1 161
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	1 155	17	1 172

Accuracy

100.0%

Counts

1 172 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	24.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	24.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
	24.9%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) y)))
	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
	70.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 y z)) (.f64 (/.f64 y x) #s(literal 1 binary64))) (.f64 (/.f64 y x) (/.f64 y z))) y)))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
	92.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (fma.f64 z (/.f64 x (.f64 y z)) (/.f64 z (neg.f64 y)))) y)))
	95.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (/.f64 (-.f64 x z) y) y)))
	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
	74.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))
▶	35.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (*.f64 z (/.f64 z (neg.f64 y))))))
▶	74.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y))))
	61.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))))
✓	40.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 522 to 300 computations (42.5% saved)

simplify198.0ms (2%)

Memory

-32.9MiB live, 345.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y)))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y))))
cost-diff	640	(fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
cost-diff	0	(/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
cost-diff	0	(*.f64 z (/.f64 z (neg.f64 y)))
cost-diff	0	#s(approx (- y (/ (* z z) y)) (*.f64 z (/.f64 z (neg.f64 y))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (*.f64 z (/.f64 z (neg.f64 y)))))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (*.f64 z (/.f64 z (neg.f64 y))))))
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	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Rules

10 406×	`lower-fma.f32`
10 402×	`lower-fma.f64`
2 666×	`lower-*.f32`
2 648×	`lower-*.f64`
1 976×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	391
0	76	389
1	153	385
2	338	376
3	1072	364
4	4067	356
5	7833	352
0	8485	349

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.8%)

Memory

11.2MiB live, 134.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y))))
accuracy	0	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y))
accuracy	9.084322777832792	(/.f64 (-.f64 x z) (*.f64 y y))
accuracy	12.322343288602314	(fma.f64 (.f64 y (+.f64 z x)) (/.f64 (-.f64 x z) (.f64 y y)) y)
accuracy	0	(*.f64 x x)
accuracy	0.16634750976844204	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
accuracy	18.684060203811217	(/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)))
accuracy	44.199124169451935	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
accuracy	0	(neg.f64 y)
accuracy	0.140625	(*.f64 z (/.f64 z (neg.f64 y)))
accuracy	16.493542931923937	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (*.f64 z (/.f64 z (neg.f64 y))))))
accuracy	33.00527110981536	#s(approx (- y (/ (* z z) y)) (*.f64 z (/.f64 z (neg.f64 y))))
accuracy	0	(.f64 (.f64 z z) #s(literal -1/2 binary64))
accuracy	0	(*.f64 z z)
accuracy	7.219666489224098	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
accuracy	41.37598353380927	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
accuracy	0.01171875	(/.f64 y (-.f64 x z))
accuracy	0.078125	(fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)
accuracy	0.23390462206879994	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Samples

138.0ms

256×

valid

Compiler

Compiled 271 to 45 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 80.0ms (67.4% of total)

ival-div: 25.0ms (21.1% of total)

ival-add: 7.0ms (5.9% of total)

ival-sub: 4.0ms (3.4% of total)

ival-neg: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series93.0ms (1%)

Memory

-15.6MiB live, 64.1MiB allocated

Counts

23 → 684

Calls

Call 1

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

Outputs
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
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#s(alt (+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (* -1 (/ (* x y) z))) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (/ (* x y) z)) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 x z)) (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2)))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2)))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2)))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x z) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) (.f64 y y)) (patch (/.f64 (-.f64 x z) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

171 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(* 1/2 (- y (/ (* z z) y)))
6.0ms	x	@	-inf	(/ (- x z) (* y y))
0.0ms	y	@	0	(/ y (- x z))
0.0ms	z	@	inf	(/ (- x z) (* y y))
0.0ms	y	@	-inf	(/ y (- x z))

simplify361.0ms (3.7%)

Memory

-17.9MiB live, 307.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 164×	`lower-fma.f64`
7 164×	`lower-fma.f32`
4 570×	`lower-*.f64`
4 570×	`lower-*.f32`
2 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	9731
1	2276	8670
0	9002	8272

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 675

Calls

Call 1

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

rewrite311.0ms (3.2%)

Memory

41.4MiB live, 262.6MiB allocated

Rules

4 414×	`lower-/.f32`
4 400×	`lower-/.f64`
4 314×	`lower-*.f32`
4 296×	`lower-*.f64`
2 736×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	349
0	76	338
1	320	338
2	2508	338
0	8121	331

Stop Event

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

Counts

23 → 469

Calls

Call 1

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

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

eval211.0ms (2.2%)

Memory: 9.6MiB live, 200.2MiB allocated
Compiler: Compiled 22 539 to 2 167 computations (90.4% saved)

prune278.0ms (2.8%)

Memory

-14.4MiB live, 272.2MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 140	4	1 144
Fresh	3	7	10
Picked	3	2	5
Done	0	2	2
Total	1 146	15	1 161

Accuracy

100.0%

Counts

1 161 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	24.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	24.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
	24.9%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	35.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))
▶	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
	95.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (/.f64 (-.f64 x z) y) y)))
▶	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
	74.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))
▶	35.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (/.f64 z (/.f64 y (neg.f64 z))))))
	75.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 y (+.f64 x z))) y))))
	48.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (.f64 y (+.f64 z x)) #s(approx (/ (- x z) ( y y)) (/.f64 x (*.f64 y y))) y))))
▶	61.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))))
✓	40.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 384 to 224 computations (41.7% saved)

simplify226.0ms (2.3%)

Memory

36.2MiB live, 217.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- y (/ (* z z) y)) (/.f64 z (/.f64 y (neg.f64 z))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (/.f64 z (/.f64 y (neg.f64 z)))))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (/.f64 z (/.f64 y (neg.f64 z))))))
cost-diff	384	(/.f64 z (/.f64 y (neg.f64 z)))
cost-diff	0	(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))
cost-diff	0	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 x (/.f64 x y) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))
cost-diff	0	(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z))

Rules

10 442×	`lower-fma.f32`
10 438×	`lower-fma.f64`
2 670×	`lower--.f32`
2 668×	`lower--.f64`
2 258×	`lower-*.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	346
0	70	349
1	143	338
2	325	338
3	915	338
4	2730	338
5	4121	320
6	7405	320
0	8350	320

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (2.1%)

Memory

-46.2MiB live, 177.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.09375	(/.f64 z (/.f64 y (neg.f64 z)))
accuracy	16.493542931923937	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (/.f64 z (/.f64 y (neg.f64 z))))))
accuracy	33.00527110981536	#s(approx (- y (/ (* z z) y)) (/.f64 z (/.f64 y (neg.f64 z))))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))))
accuracy	0.015625	(/.f64 (+.f64 z x) y)
accuracy	0.171875	(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))
accuracy	24.628088279645326	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
accuracy	0.06640625	(fma.f64 x (/.f64 x y) y)
accuracy	22.490322659437798	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) y)
accuracy	0.140625	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
accuracy	0.19597626953688402	(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
accuracy	41.37598353380927	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))
accuracy	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
accuracy	0.0859375	(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)
accuracy	0.228847509768442	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z))

Samples

84.0ms

256×

valid

Compiler

Compiled 245 to 43 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 25.0ms (38.2% of total)

ival-add: 21.0ms (32.1% of total)

ival-div: 14.0ms (21.4% of total)

ival-sub: 3.0ms (4.6% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.5%)

Memory

21.9MiB live, 56.8MiB allocated

Counts

22 → 648

Calls

Call 1

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

Outputs
#s(alt (/ (+ x z) y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x z) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ z y)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ z y)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ z y)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 y) (/ z (* x y)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 y) (/ z (* x y)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 y) (/ z (* x y)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ 1 y) (/ x (* y z)))) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ 1 y) (/ x (* y z)))) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ 1 y) (/ x (* y z)))) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())

Calls

162 calls:

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

simplify463.0ms (4.7%)

Memory

-3.4MiB live, 425.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 602×	`lower-fma.f64`
19 602×	`lower-fma.f32`
4 672×	`lower-*.f64`
4 672×	`lower-*.f32`
4 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	7443
1	872	7255
2	2955	6754
0	8840	6393

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 638

Calls

Call 1

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

rewrite493.0ms (5.1%)

Memory

-17.3MiB live, 318.5MiB allocated

Rules

5 124×	`lower-*.f32`
5 108×	`lower-*.f64`
4 792×	`lower-/.f32`
4 780×	`lower-/.f64`
3 696×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	309
0	70	298
1	287	298
2	2332	298
0	8767	293

Stop Event

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

Counts

22 → 944

Calls

Call 1

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

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

eval272.0ms (2.8%)

Memory: 10.1MiB live, 388.1MiB allocated
Compiler: Compiled 34 721 to 3 487 computations (90% saved)

prune346.0ms (3.5%)

Memory

11.6MiB live, 490.9MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1 578	4	1 582
Fresh	3	3	6
Picked	2	3	5
Done	1	3	4
Total	1 584	13	1 597

Accuracy

100.0%

Counts

1 597 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
	24.9%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
	61.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
✓	35.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))
	27.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))))
✓	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
	74.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))
✓	35.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (/.f64 z (/.f64 y (neg.f64 z))))))
	75.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 y (+.f64 x z))) y))))
	61.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))))
	42.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z y))))))
✓	40.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 608 to 232 computations (61.8% saved)

regimes61.0ms (0.6%)

Memory

17.8MiB live, 137.9MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	z
11.0ms	y
10.0ms	(*.f64 x x)
9.0ms	x
8.0ms	(*.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)

regimes34.0ms (0.3%)

Memory

5.1MiB live, 79.9MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

7.0ms	y
7.0ms	(*.f64 z z)
5.0ms	z
5.0ms	x
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.3%	2	`x`
88.8%	2	`y`
88.4%	2	`z`
97.2%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
87.3%	2	`(*.f64 x x)`
88.4%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-40.4MiB live, 12.4MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
97.2%	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)

regimes5.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
96.8%	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)

regimes4.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z 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
94.2%	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)

regimes4.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) 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
92.2%	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)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) 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
92.2%	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)

regimes17.0ms (0.2%)

Memory

4.8MiB live, 44.1MiB allocated

Counts

6 → 5

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 z z)
3.0ms	y
3.0ms	z
2.0ms	x
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
57.9%	3	`(*.f64 x x)`
57.9%	3	`x`
60.7%	2	`z`
60.7%	2	`(*.f64 z z)`
58.7%	3	`y`
74.0%	5	`(/.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)

regimes13.0ms (0.1%)

Memory

-4.7MiB live, 32.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	z
2.0ms	y
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
2.0ms	x
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
53.1%	2	`x`
53.1%	2	`(*.f64 x x)`
54.2%	2	`y`
40.2%	1	`z`
40.2%	1	`(*.f64 z z)`
44.5%	3	`(/.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)

regimes5.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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 x x)

Results

Accuracy	Segments	Branch
40.2%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
40.2%	1	`x`
40.2%	1	`(*.f64 x x)`
40.2%	1	`y`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.8786877172773774e+299	+inf
0.0ms	3.105058625099111e+150	9.290046699692095e+170
0.0ms	-9.270246445538712e-119	2.7039876697166434e-154

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch13.0ms (0.1%)

Memory

-7.4MiB live, 31.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.8025335337097743e+24	1.0157656468346898e+26

Samples

8.0ms

112×

valid

Compiler

Compiled 161 to 115 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (68.7% of total)

ival-div: 1.0ms (22.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify20.0ms (0.2%)

Memory

-6.4MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	974
1	133	974
2	152	974
3	161	974
4	165	974

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (.f64 z (/.f64 z (neg.f64 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (.f64 z (/.f64 z (neg.f64 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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 5000000000000000085887661936088595590196552042152727553866164222600015631390942710041313371430586591361272979771771417393465563222586503124817274732544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))))))
(if (<=.f64 y #s(literal 67999999999999996711665664 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 x z) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (-.f64 x z) (/.f64 (+.f64 x z) 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (.f64 z (/.f64 z (neg.f64 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (.f64 z (neg.f64 (/.f64 z 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (.f64 z (/.f64 z (neg.f64 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (- y (/ ( z z) y)) (.f64 z (neg.f64 (/.f64 z 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)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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 5000000000000000085887661936088595590196552042152727553866164222600015631390942710041313371430586591361272979771771417393465563222586503124817274732544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.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 -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.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 5000000000000000085887661936088595590196552042152727553866164222600015631390942710041313371430586591361272979771771417393465563222586503124817274732544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 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)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))))))
(if (<=.f64 y #s(literal 67999999999999996711665664 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 y #s(literal 67999999999999996711665664 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))

soundness1.4s (14.1%)

Memory

-11.9MiB live, 976.7MiB allocated

Rules

19 602×	`lower-fma.f64`
19 602×	`lower-fma.f32`
7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
6 216×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	7560
1	1982	6873
0	8018	6514
0	273	7443
1	872	7255
2	2955	6754
0	8840	6393
0	53	349
0	76	338
1	320	338
2	2508	338
0	8121	331
0	34	205
0	54	207
1	222	200
2	1905	200
0	8163	200
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 844 to 288 computations (65.9% saved)

preprocess156.0ms (1.6%)

Memory

19.2MiB live, 315.7MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 1 518 to 392 computations (74.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (0.4%)

sample836.0ms (8.6%)

explain446.0ms (4.6%)

preprocess472.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify275.0ms (2.8%)

localize29.0ms (0.3%)

series38.0ms (0.4%)

simplify181.0ms (1.9%)

rewrite302.0ms (3.1%)

eval80.0ms (0.8%)

prune106.0ms (1.1%)

simplify400.0ms (4.1%)

localize87.0ms (0.9%)

series52.0ms (0.5%)

simplify286.0ms (2.9%)

rewrite304.0ms (3.1%)

eval190.0ms (1.9%)

prune223.0ms (2.3%)

simplify198.0ms (2%)

localize179.0ms (1.8%)

series93.0ms (1%)

simplify361.0ms (3.7%)

rewrite311.0ms (3.2%)

eval211.0ms (2.2%)

prune278.0ms (2.8%)

simplify226.0ms (2.3%)

localize205.0ms (2.1%)

series49.0ms (0.5%)

simplify463.0ms (4.7%)

rewrite493.0ms (5.1%)

eval272.0ms (2.8%)

prune346.0ms (3.5%)

regimes61.0ms (0.6%)

regimes34.0ms (0.3%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

simplify20.0ms (0.2%)

soundness1.4s (14.1%)

preprocess156.0ms (1.6%)

end0.0ms (0%)

Profiling