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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze48.0ms (0.5%)

Memory

5.0MiB live, 81.6MiB 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)

sample1.6s (16.7%)

Memory

-119.2MiB live, 1 330.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 687.0ms

ival-add: 357.0ms (52% of total)

ival-mult: 218.0ms (31.7% of total)

ival-div: 58.0ms (8.4% of total)

ival-sub: 41.0ms (6% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

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

Bogosity

explain130.0ms (1.3%)

Memory

-4.3MiB live, 213.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
58	-	1	(-1.687779532688029e-251 9.601898831046465e-165 -1.2214636985251514e-161)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
29	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	54	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	135
↳	`(*.f64 y y)`	overflow	52
↳	`(*.f64 x x)`	overflow	52
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	95
↳	`(*.f64 z z)`	overflow	69
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	29	0
↳	`(*.f64 y y)`	overflow	52
↳	`(*.f64 x x)`	overflow	52
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	95
↳	`(*.f64 z z)`	overflow	69
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	3	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	3
↳	`(*.f64 y y)`	underflow	59
↳	`(*.f64 x x)`	underflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	13
↳	`(*.f64 z z)`	underflow	66

Confusion

	Predicted +	Predicted -
+	75	1
-	0	180

Precision

1.0

Recall

0.9868421052631579

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	1
-	0	0	180

Precision?

1.0

Recall?

0.9868421052631579

Freqs

test

number	freq
0	181
1	64
2	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 120 to 37 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 20.0ms (68.5% of total)

ival-div: 4.0ms (13.7% of total)

ival-sub: 2.0ms (6.9% of total)

ival-add: 2.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess285.0ms (2.9%)

Memory

-4.3MiB live, 308.1MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(/.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)

simplify249.0ms (2.5%)

Memory

26.7MiB live, 293.6MiB 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)

localize72.0ms (0.7%)

Memory

-29.1MiB live, 101.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	6.488252351622882	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	13.418706155889675	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

62.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 6.0ms (57.3% of total)

ival-div: 2.0ms (19.1% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

5 → 120

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>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<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>) () ())) ())
#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) (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>) () ())) ())
#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) (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 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>) () ())) ())
#s(alt (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) (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>) () ())) ())
#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 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 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>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

30 calls:

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

simplify195.0ms (2%)

Memory

28.7MiB live, 295.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
4 760×	`lower-*.f64`
4 760×	`lower-*.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1164
1	198	1164
2	568	1078
3	2180	1064
4	6035	1040
0	8166	954

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

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

rewrite459.0ms (4.7%)

Memory

-40.2MiB live, 410.1MiB 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	39
0	18	39
1	68	39
2	569	39
0	8301	36

Stop Event

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

Counts

5 → 536

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)
(*.f64 y #s(literal 2 binary64))

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

eval127.0ms (1.3%)

Memory: 9.3MiB live, 158.0MiB allocated
Compiler: Compiled 26 909 to 1 618 computations (94% saved)

prune101.0ms (1%)

Memory

31.8MiB live, 228.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	649	7	656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	650	7	657

Accuracy

100.0%

Counts

657 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
▶	32.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	75.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
▶	30.3%	#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)))
▶	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
▶	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 178 to 108 computations (39.3% saved)

simplify357.0ms (3.6%)

Memory

-5.3MiB live, 317.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
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 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 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	(*.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

17 928×	`lower-fma.f32`
17 924×	`lower-fma.f64`
3 000×	`lower-+.f32`
2 998×	`lower-+.f64`
2 526×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	217
0	50	220
1	95	220
2	189	220
3	427	220
4	1171	220
5	3000	220
6	6738	205
0	8598	203

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
#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
(/.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) (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

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

localize83.0ms (0.8%)

Memory

-5.1MiB live, 154.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	20.622251880810484	#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 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	13.418706155889675	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	40.19311171925732	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(.f64 (.f64 z z) #s(literal -1/2 binary64))
accuracy	0	(*.f64 z z)
accuracy	7.634817682511232	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
accuracy	42.92138523985739	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	40.57566915972865	#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	0.03125	(/.f64 (-.f64 x z) y)
accuracy	0.06640625	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

49.0ms

256×

valid

Compiler

Compiled 181 to 28 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (50.4% of total)

ival-div: 6.0ms (20.1% of total)

ival-sub: 4.0ms (13.4% of total)

ival-add: 4.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.5%)

Memory

20.2MiB live, 89.7MiB allocated

Counts

19 → 504

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

126 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* 1/2 y)
3.0ms	x	@	inf	(* 1/2 (+ (* x (/ x y)) y))
2.0ms	x	@	0	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))
1.0ms	y	@	0	(/ (* (* z z) -1/2) y)
1.0ms	y	@	0	(* 1/2 (+ (* x (/ x y)) y))

simplify352.0ms (3.6%)

Memory

-26.4MiB live, 423.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 248×	`lower-fma.f64`
16 248×	`lower-fma.f32`
4 624×	`lower-+.f64`
4 624×	`lower-+.f32`
4 146×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	5763
1	825	5629
2	2793	5310
0	8572	5004

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 493

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

rewrite306.0ms (3.1%)

Memory

-2.2MiB live, 437.4MiB allocated

Rules

5 080×	`lower-/.f32`
5 072×	`lower-/.f64`
4 560×	`lower-fma.f32`
4 556×	`lower-fma.f64`
4 090×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	199
0	50	199
1	192	199
2	1492	199
0	8157	193

Stop Event

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

Counts

19 → 490

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)
#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)
(/.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) (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)
(/.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 x z) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
(+.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.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 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64)))))
(fma.f64 y #s(literal 1/2 binary64) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
(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)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) 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 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y)) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y))) (.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) (neg.f64 y)) (.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y)) (.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) 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 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y))))) (fma.f64 y (-.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y)) (.f64 y y))) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) (neg.f64 y)))
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(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z y) (/.f64 z y))) (+.f64 (/.f64 x y) (/.f64 z y)))
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(/.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))))
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(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
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(.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 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 x z)) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (-.f64 x z)))))
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(.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))))
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(.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 x x (.f64 z (+.f64 x z))) y) (/.f64 (-.f64 x z) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) (+.f64 x z)))

eval240.0ms (2.4%)

Memory: 21.9MiB live, 241.0MiB allocated
Compiler: Compiled 19 248 to 1 728 computations (91% saved)

prune221.0ms (2.3%)

Memory

16.0MiB live, 258.6MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	975	8	983
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	977	13	990

Accuracy

100.0%

Counts

990 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	32.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	32.2%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	30.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	30.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))))
▶	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))))
▶	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
▶	77.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) y)))
▶	67.5%	#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) (neg.f64 (/.f64 z y))) y)))
	38.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 (-.f64 x z) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))) y)))
	98.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)))
✓	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 361 to 206 computations (42.9% saved)

simplify298.0ms (3%)

Memory

-10.2MiB live, 245.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y 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 (.f64 x y) (.f64 y z)) (.f64 y y)) y)))
cost-diff	320	(-.f64 (.f64 x y) (.f64 y z))
cost-diff	640	(/.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
cost-diff	0	(.f64 z (.f64 z #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
cost-diff	0	(+.f64 z x)
cost-diff	0	(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 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) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) y)))
cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
cost-diff	0	(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
cost-diff	0	(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.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) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))))
cost-diff	1088	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)))

Rules

12 398×	`lower-fma.f32`
12 394×	`lower-fma.f64`
3 644×	`lower-*.f32`
3 628×	`lower-*.f64`
2 174×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	367
0	73	335
1	147	333
2	318	333
3	898	333
4	3239	323
5	7270	318
0	8297	318

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

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

localize193.0ms (2%)

Memory

-16.4MiB live, 182.2MiB 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) (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) y)))
accuracy	0.06640625	(fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y)) y)
accuracy	1.9687355508114408	(-.f64 (.f64 x y) (.f64 y z))
accuracy	21.893548522690033	(/.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.22559178931394228	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64)))))
accuracy	7.733271008359906	(/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))
accuracy	42.92138523985739	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z #s(literal -1/2 binary64))))))
accuracy	0	(neg.f64 (/.f64 z y))
accuracy	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) (neg.f64 (/.f64 z y))) y)))
accuracy	0.06640625	(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) y)
accuracy	31.546284299471424	#s(approx (/ (- x z) y) (neg.f64 (/.f64 z y)))
accuracy	0	(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.11328125	(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
accuracy	42.92138523985739	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
accuracy	0.03125	(/.f64 (-.f64 x z) y)
accuracy	0.06640625	(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
accuracy	0.12890625	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)))
accuracy	0.7041047718565369	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))

Samples

119.0ms

256×

valid

Compiler

Compiled 291 to 42 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 34.0ms (54.2% of total)

ival-div: 14.0ms (22.3% of total)

ival-add: 7.0ms (11.2% of total)

ival-sub: 6.0ms (9.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series99.0ms (1%)

Memory

21.4MiB live, 93.1MiB allocated

Counts

24 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
11.0ms	z	@	inf	(/ y (* z (* z -1/2)))
6.0ms	z	@	inf	(* 1/2 (+ (* (+ z x) (/ (- (* x y) (* y z)) (* y y))) y))
1.0ms	x	@	-inf	(/ (- (* x y) (* y z)) (* y y))
1.0ms	x	@	0	(/ 1 (+ (* (+ x z) (/ (- x z) y)) y))
1.0ms	z	@	0	(/ 1 (+ (* (+ x z) (/ (- x z) y)) y))

simplify445.0ms (4.5%)

Memory

-19.0MiB live, 379.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 804×	`lower-fma.f64`
7 804×	`lower-fma.f32`
4 236×	`lower-*.f64`
4 236×	`lower-*.f32`
2 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	507	10609
1	1717	9089
2	7057	9018
0	8058	8591

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 732

Calls

Call 1

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

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

rewrite384.0ms (3.9%)

Memory

3.5MiB live, 321.9MiB allocated

Rules

5 032×	`lower-/.f32`
5 016×	`lower-/.f64`
4 038×	`lower-*.f32`
4 022×	`lower-*.f64`
2 196×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	323
0	73	291
1	294	289
2	2441	289
0	8056	284

Stop Event

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

Counts

24 → 1 233

Calls

Call 1

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

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

eval376.0ms (3.8%)

Memory: 17.0MiB live, 376.2MiB allocated
Compiler: Compiled 52 126 to 4 280 computations (91.8% saved)

prune452.0ms (4.6%)

Memory

0.8MiB live, 395.6MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	2 041	4	2 045
Fresh	1	3	4
Picked	3	2	5
Done	0	4	4
Total	2 045	13	2 058

Accuracy

100.0%

Counts

2 058 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	32.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	32.2%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	30.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z))))
	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (*.f64 z #s(literal -1/2 binary64)))))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
	84.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x z) (/.f64 y (.f64 y (-.f64 x z)))) y)))
▶	55.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(approx (- ( x y) (* y z)) (.f64 y x)) (.f64 y y)) y)))
✓	67.5%	#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) (neg.f64 (/.f64 z y))) y)))
▶	98.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)))
✓	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 290 to 172 computations (40.7% saved)

simplify274.0ms (2.8%)

Memory

-12.1MiB live, 310.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z x)
cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 #s(approx (- (* x y) (* y z)) (.f64 y x)) (.f64 y y)) y)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(approx (- ( x y) (* y z)) (.f64 y x)) (.f64 y 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 #s(approx (- ( x y) (* y z)) (.f64 y x)) (.f64 y y)) y)))
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) (-.f64 x z))
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (+.f64 z x) (-.f64 x z)))
cost-diff	0	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 y z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z))))
cost-diff	384	(/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z)))
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(literal 1/2 binary64) y)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
cost-diff	0	(fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.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 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)))
cost-diff	896	(fma.f64 z (/.f64 x z) z)

Rules

9 786×	`lower-fma.f32`
9 780×	`lower-fma.f64`
3 606×	`lower-*.f32`
3 588×	`lower-*.f64`
2 030×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	367
0	68	364
1	131	354
2	269	354
3	566	350
4	1319	342
5	2510	342
6	5533	336
0	8158	329

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

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

localize156.0ms (1.6%)

Memory

22.2MiB live, 226.3MiB 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) (fma.f64 (+.f64 z x) (/.f64 #s(approx (- ( x y) (* y z)) (.f64 y x)) (.f64 y y)) y)))
accuracy	0.06640625	(fma.f64 (+.f64 z x) (/.f64 #s(approx (- (* x y) (* y z)) (.f64 y x)) (.f64 y y)) y)
accuracy	21.653763286314476	(/.f64 #s(approx (- (* x y) (* y z)) (.f64 y x)) (.f64 y y))
accuracy	30.601358847838295	#s(approx (- (* x y) (* y z)) (*.f64 y x))
accuracy	0	(*.f64 (+.f64 z x) (-.f64 x z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	13.418706155889675	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
accuracy	20.14062474067229	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (+.f64 z x) (-.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	0.01171875	(*.f64 #s(literal -2 binary64) (/.f64 y z))
accuracy	0.1328125	(/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z)))
accuracy	42.43403165850577	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z))))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	13.489018655889675	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
accuracy	39.71713943139423	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	#s(approx (+ z x) (fma.f64 z (/.f64 x z) z))
accuracy	0.03125	(/.f64 (-.f64 x z) y)
accuracy	0.06640625	(fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)
accuracy	4.476646704850902	(fma.f64 z (/.f64 x z) z)

Samples

83.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 262 to 38 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 39.0ms (64.7% of total)

ival-div: 11.0ms (18.2% of total)

ival-add: 6.0ms (10% of total)

ival-sub: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series42.0ms (0.4%)

Memory

-22.3MiB live, 85.2MiB allocated

Counts

24 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* -2 (/ y z))
0.0ms	y	@	-inf	(/ y z)
0.0ms	y	@	-inf	(* -2 (/ y z))
0.0ms	z	@	-inf	(* -2 (/ y z))
0.0ms	y	@	inf	(* -2 (/ y z))

simplify335.0ms (3.4%)

Memory

13.5MiB live, 450.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 224×	`lower-fma.f64`
8 224×	`lower-fma.f32`
3 844×	`lower-+.f64`
3 844×	`lower-+.f32`
3 072×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	341	7931
1	1097	7529
2	3657	7228
0	8440	6839

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 686

Calls

Call 1

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

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

rewrite482.0ms (4.9%)

Memory

-1.0MiB live, 448.8MiB allocated

Rules

4 722×	`lower-fma.f32`
4 716×	`lower-fma.f64`
4 618×	`lower-/.f32`
4 604×	`lower-/.f64`
4 352×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	331
0	68	331
1	266	321
2	2058	316
0	8593	304

Stop Event

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

Counts

24 → 561

Calls

Call 1

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

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

eval174.0ms (1.8%)

Memory: 12.1MiB live, 319.8MiB allocated
Compiler: Compiled 27 267 to 2 077 computations (92.4% saved)

prune211.0ms (2.2%)

Memory

-6.3MiB live, 489.5MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1 295	2	1 297
Fresh	1	1	2
Picked	1	4	5
Done	0	6	6
Total	1 297	13	1 310

Accuracy

100.0%

Counts

1 310 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	32.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	32.2%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	30.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z))))
	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (*.f64 z #s(literal -1/2 binary64)))))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
	58.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 z x) (/.f64 y #s(approx (- ( x y) (* y z)) (*.f64 x y)))) y)))
✓	55.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(approx (- ( x y) (* y z)) (.f64 y x)) (.f64 y y)) y)))
✓	67.5%	#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) (neg.f64 (/.f64 z y))) y)))
	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) #s(approx (/ (- x z) y) (/.f64 x y)) y)))
✓	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 471 to 193 computations (59% saved)

regimes42.0ms (0.4%)

Memory

4.3MiB live, 82.0MiB allocated

Counts

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

8.0ms	z
7.0ms	(*.f64 z z)
7.0ms	y
7.0ms	x
6.0ms	(*.f64 x x)

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)

regimes25.0ms (0.3%)

Memory

4.1MiB live, 44.4MiB 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 z (/.f64 (.f64 z #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) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 z (*.f64 #s(literal -2 binary64) (/.f64 y z))))
(/.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 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) 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) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) y)))

Calls

6 calls:

8.0ms	(*.f64 x x)
4.0ms	y
4.0ms	x
3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
82.2%	2	`x`
85.7%	2	`y`
89.5%	3	`z`
96.7%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
82.2%	2	`(*.f64 x x)`
88.7%	3	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-31.2MiB live, 6.8MiB allocated

Counts

6 → 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 z (/.f64 (.f64 z #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 (*.f64 z #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)))

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes15.0ms (0.1%)

Memory

31.9MiB live, 31.9MiB allocated

Counts

5 → 4

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
56.0%	4	`x`
53.5%	3	`(*.f64 x x)`
58.0%	4	`y`
62.5%	5	`(*.f64 z z)`
63.0%	5	`z`
72.2%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-32.2MiB live, 5.8MiB allocated

Counts

4 → 4

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 z (/.f64 (.f64 z #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)))

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

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
72.2%	4	`(/.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)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 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 z (/.f64 (*.f64 z #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))

Outputs

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
64.1%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB 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

6 calls:

1.0ms	x
1.0ms	y
1.0ms	z
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
36.6%	1	`(*.f64 x x)`
36.6%	1	`x`
36.6%	1	`y`
36.6%	1	`(*.f64 z z)`
36.6%	1	`z`
36.6%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.128003724648673e-146

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.718249085958148e-159	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.1975479029190047e+148	2.3366006628618932e+150
0.0ms	0.0	6.128003724648673e-146

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.1975479029190047e+148	2.3366006628618932e+150
0.0ms	0.0	6.128003724648673e-146

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.128003724648673e-146

Compiler

Compiled 21 to 17 computations (19% saved)

simplify14.0ms (0.1%)

Memory

-12.7MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	615
1	89	615
2	100	615
3	107	615
4	110	615

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 0 binary64)) #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) (neg.f64 (/.f64 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 +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) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 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 -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 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 +inf.0 binary64)) (/.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 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 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 +inf.0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 (.f64 z #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 0 binary64)) #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) (neg.f64 (/.f64 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 +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) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (neg.f64 (/.f64 z y))) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (neg.f64 (/.f64 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 +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) (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (neg.f64 (/.f64 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 -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 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 +inf.0 binary64)) (/.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 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 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 +inf.0 binary64)) (/.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 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 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 +inf.0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 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 +inf.0 binary64)) (.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 (.f64 z #s(literal -1/2 binary64)) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (/.f64 (.f64 z #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 (.f64 z #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 y #s(literal 1/2 binary64)))

soundness714.0ms (7.3%)

Memory

0.4MiB live, 560.0MiB allocated

Rules

16 248×	`lower-fma.f64`
16 248×	`lower-fma.f32`
7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
5 080×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	199
0	50	199
1	192	199
2	1492	199
0	8157	193
0	260	5763
1	825	5629
2	2793	5310
0	8572	5004
0	72	1164
1	198	1164
2	568	1078
3	2180	1064
4	6035	1040
0	8166	954

Stop Event

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

Compiler

Compiled 502 to 160 computations (68.1% saved)

preprocess117.0ms (1.2%)

Memory: -1.0MiB live, 233.8MiB allocated
Remove: (negabs y)
Compiler: Compiled 1 244 to 416 computations (66.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze48.0ms (0.5%)

sample1.6s (16.7%)

explain130.0ms (1.3%)

preprocess285.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify249.0ms (2.5%)

localize72.0ms (0.7%)

series11.0ms (0.1%)

simplify195.0ms (2%)

rewrite459.0ms (4.7%)

eval127.0ms (1.3%)

prune101.0ms (1%)

simplify357.0ms (3.6%)

localize83.0ms (0.8%)

series45.0ms (0.5%)

simplify352.0ms (3.6%)

rewrite306.0ms (3.1%)

eval240.0ms (2.4%)

prune221.0ms (2.3%)

simplify298.0ms (3%)

localize193.0ms (2%)

series99.0ms (1%)

simplify445.0ms (4.5%)

rewrite384.0ms (3.9%)

eval376.0ms (3.8%)

prune452.0ms (4.6%)

simplify274.0ms (2.8%)

localize156.0ms (1.6%)

series42.0ms (0.4%)

simplify335.0ms (3.4%)

rewrite482.0ms (4.9%)

eval174.0ms (1.8%)

prune211.0ms (2.2%)

regimes42.0ms (0.4%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness714.0ms (7.3%)

preprocess117.0ms (1.2%)

end0.0ms (0%)

Profiling