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

analyze41.0ms (0.4%)

Memory

-3.8MiB live, 73.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.5s (13.2%)

Memory

4.7MiB live, 1 220.8MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 798.0ms

ival-mult: 446.0ms (55.9% of total)

ival-add: 131.0ms (16.4% of total)

ival-div: 119.0ms (14.9% of total)

ival-sub: 88.0ms (11% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.6% of total)

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

Bogosity

preprocess555.0ms (4.9%)

Memory

-5.7MiB live, 636.9MiB 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)

explain160.0ms (1.4%)

Memory

12.5MiB live, 353.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	1	(2.4470989988966277e-159 7.209457302743479e-268 1.3429372555218975e-155)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
27	-	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	66	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	150
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	117
↳	`(*.f64 z z)`	overflow	60
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	27	0
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	117
↳	`(*.f64 z z)`	overflow	60
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	4	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	4
↳	`(*.f64 y y)`	underflow	51
↳	`(*.f64 x x)`	underflow	58
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	13
↳	`(*.f64 z z)`	underflow	61

Confusion

	Predicted +	Predicted -
+	89	1
-	0	166

Precision

1.0

Recall

0.9888888888888889

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	1
-	0	0	166

Precision?

1.0

Recall?

0.9888888888888889

Freqs

test

number	freq
0	167
1	81
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 35.0ms (66% of total)

ival-mult: 12.0ms (22.6% of total)

ival-sub: 2.0ms (3.8% of total)

ival-add: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify359.0ms (3.1%)

Memory

-6.9MiB live, 491.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.4%)

Memory

8.6MiB live, 59.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	90.2%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	74.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 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	z	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

simplify256.0ms (2.2%)

Memory

-15.0MiB live, 415.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite323.0ms (2.8%)

Memory

30.5MiB live, 546.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 522

Calls

Call 1

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

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

eval80.0ms (0.7%)

Memory: -7.7MiB live, 172.3MiB allocated
Compiler: Compiled 26 486 to 1 591 computations (94% saved)

prune114.0ms (1%)

Memory

-14.7MiB live, 244.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

631 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(/.f64 (fma.f64 x x (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
▶	61.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
▶	30.4%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 z (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
▶	32.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	70.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) y))
	71.3%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
	30.4%	#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)))
	66.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
	62.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
▶	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 300 to 184 computations (38.7% saved)

simplify295.0ms (2.6%)

Memory

18.4MiB live, 406.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

11 066×	`lower-fma.f32`
11 064×	`lower-fma.f64`
3 168×	`lower--.f32`
3 166×	`lower--.f64`
2 046×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	242
0	46	242
1	86	242
2	168	242
3	429	242
4	1344	242
5	3621	242
6	7087	242
0	8177	234

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.8%)

Memory

-32.3MiB live, 143.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 z x) (-.f64 x z))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	74.4%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	accuracy	70.8%	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (+.f64 z x) (-.f64 x z)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	74.4%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 z (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
✓	accuracy	34.8%	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	74.4%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	38.9%	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
✓	accuracy	100.0%	#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	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

50.0ms

256×

valid

Compiler

Compiled 195 to 24 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 24.0ms (69.6% of total)

ival-div: 3.0ms (8.7% of total)

ival-add: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series70.0ms (0.6%)

Memory

20.7MiB live, 58.6MiB allocated

Counts

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

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

Calls

126 calls:

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

simplify492.0ms (4.3%)

Memory

21.3MiB live, 613.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 700×	`lower-fma.f64`
14 700×	`lower-fma.f32`
3 762×	`lower-*.f64`
3 762×	`lower-*.f32`
3 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	6275
1	922	6069
2	3109	5750
0	8218	5402

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 496

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

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

rewrite376.0ms (3.3%)

Memory

-7.5MiB live, 496.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 036×	`lower-fma.f32`
6 034×	`lower-fma.f64`
4 862×	`lower-/.f32`
4 854×	`lower-/.f64`
4 156×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	211
0	46	211
1	173	211
2	1319	211
0	8431	203

Stop Event

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

Counts

18 → 529

Calls

Call 1

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

eval155.0ms (1.4%)

Memory: 1.3MiB live, 320.2MiB allocated
Compiler: Compiled 23 411 to 1 933 computations (91.7% saved)

prune219.0ms (1.9%)

Memory

12.1MiB live, 373.3MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 128	7	1 135
Fresh	4	2	6
Picked	1	4	5
Done	0	0	0
Total	1 133	13	1 146

Accuracy

100.0%

Counts

1 146 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	32.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	30.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z))))
▶	32.0%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
	30.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
	76.9%	#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)))
✓	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)))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.f64 z) y) y)))
	66.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 305 to 186 computations (39% saved)

simplify605.0ms (5.3%)

Memory

-13.8MiB live, 310.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 734×	`lower-fma.f32`
11 730×	`lower-fma.f64`
2 558×	`lower-*.f32`
2 542×	`lower-*.f64`
2 400×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	288
0	61	290
1	126	280
2	287	278
3	762	278
4	2721	278
5	3948	263
6	6818	263
0	8312	259

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.6%)

Memory

-5.1MiB live, 151.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
✓	accuracy	100.0%	(/.f64 y (-.f64 x z))
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
✓	accuracy	100.0%	(*.f64 z (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	74.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z))))
✓	accuracy	34.8%	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	74.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	accuracy	38.9%	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
✓	accuracy	99.8%	(.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))
✓	accuracy	33.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y))
✓	accuracy	100.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
✓	accuracy	99.9%	(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z))

Samples

118.0ms

256×

valid

Compiler

Compiled 238 to 36 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 50.0ms (50.2% of total)

ival-div: 39.0ms (39.1% of total)

ival-add: 6.0ms (6% of total)

ival-sub: 2.0ms (2% of total)

ival-neg: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.5%)

Memory

16.1MiB live, 60.6MiB allocated

Counts

21 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* z (* -1/2 (/ z y)))
1.0ms	y	@	inf	(* z (* -1/2 (/ z y)))
1.0ms	z	@	0	(* z (* -1/2 (/ z y)))
0.0ms	z	@	inf	(* z (* -1/2 (/ z y)))
0.0ms	y	@	inf	(* -1/2 (/ z y))

simplify512.0ms (4.5%)

Memory

-2.8MiB live, 722.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 756×	`lower-fma.f64`
16 756×	`lower-fma.f32`
5 200×	`lower-*.f64`
5 200×	`lower-*.f32`
4 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	7495
1	1098	7314
2	3619	6825
0	8582	6450

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 620

Calls

Call 1

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

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

rewrite524.0ms (4.6%)

Memory

2.0MiB live, 436.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 404×	`lower-/.f32`
5 394×	`lower-/.f64`
4 546×	`lower-*.f32`
4 530×	`lower-*.f64`
3 234×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	251
0	61	251
1	233	235
2	1915	235
0	8267	228

Stop Event

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

Counts

21 → 1 608

Calls

Call 1

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

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

eval535.0ms (4.7%)

Memory: 20.1MiB live, 484.1MiB allocated
Compiler: Compiled 58 957 to 4 634 computations (92.1% saved)

prune474.0ms (4.1%)

Memory

-27.5MiB live, 423.6MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	2 255	4	2 259
Fresh	1	3	4
Picked	1	4	5
Done	1	3	4
Total	2 258	14	2 272

Accuracy

100.0%

Counts

2 272 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	32.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	30.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z))))
✓	32.0%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	30.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z)))
▶	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
✓	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
▶	78.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (fma.f64 z y (.f64 y x)) (*.f64 y y)) y)))
✓	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) y)))
▶	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.f64 z) y) y)))
▶	66.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
	66.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- x z) (* (/ 1 y) (+ x z))) y) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))))
✓	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 279 to 170 computations (39.1% saved)

simplify360.0ms (3.1%)

Memory

10.0MiB live, 349.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) y))))
✓	cost-diff	320	(.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 (neg.f64 z) y)
✓	cost-diff	0	(fma.f64 z (/.f64 (neg.f64 z) y) y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.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 z (/.f64 (neg.f64 z) y) y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 x (/.f64 x y) y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	cost-diff	0	(*.f64 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) (fma.f64 (-.f64 x z) (/.f64 (fma.f64 z y (.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 x z) (/.f64 (fma.f64 z y (.f64 y x)) (*.f64 y y)) y)))
✓	cost-diff	192	(fma.f64 z y (*.f64 y x))
✓	cost-diff	640	(/.f64 (fma.f64 z y (.f64 y x)) (.f64 y y))

Rules

8 114×	`lower-fma.f32`
8 106×	`lower-fma.f64`
3 702×	`lower-*.f32`
3 682×	`lower-*.f64`
1 772×	`lower-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	280
0	65	274
1	132	268
2	281	268
3	669	262
4	2046	244
5	4856	238
0	8119	238

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.1%)

Memory

36.4MiB live, 182.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 z (.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.8%	(.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	33.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.f64 z) y) y))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.9%	(fma.f64 z (/.f64 (neg.f64 z) y) y)
✓	accuracy	67.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.f64 z) y) y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	accuracy	99.9%	(fma.f64 x (/.f64 x y) y)
✓	accuracy	66.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 (.f64 z z) #s(literal -1/2 binary64))
✓	accuracy	90.8%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	accuracy	33.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (fma.f64 z y (.f64 y x)) (*.f64 y y)) y))
✓	accuracy	100.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (fma.f64 z y (.f64 y x)) (*.f64 y y)) y)))
✓	accuracy	99.9%	(fma.f64 (-.f64 x z) (/.f64 (fma.f64 z y (.f64 y x)) (.f64 y y)) y)
✓	accuracy	65.6%	(/.f64 (fma.f64 z y (.f64 y x)) (.f64 y y))

Samples

75.0ms

256×

valid

Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 25.0ms (55.6% of total)

ival-div: 10.0ms (22.2% of total)

ival-add: 6.0ms (13.3% of total)

ival-sub: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series160.0ms (1.4%)

Memory

11.0MiB live, 78.3MiB allocated

Counts

22 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
107.0ms	y	@	-inf	(* 1/2 (+ (* (- x z) (/ (+ (* z y) (* y x)) (* y y))) y))
1.0ms	y	@	-inf	(/ (+ (* z y) (* y x)) (* y y))
0.0ms	z	@	0	(/ (+ (* z y) (* y x)) (* y y))
0.0ms	x	@	0	(/ (+ (* z y) (* y x)) (* y y))
0.0ms	y	@	inf	(/ (+ (* z y) (* y x)) (* y y))

simplify505.0ms (4.4%)

Memory

-51.9MiB live, 783.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 062×	`lower-fma.f64`
17 062×	`lower-fma.f32`
5 116×	`lower-+.f64`
5 116×	`lower-+.f32`
4 372×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	6132
1	906	6049
2	2989	5746
0	8274	5432

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 580

Calls

Call 1

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

rewrite420.0ms (3.7%)

Memory

11.0MiB live, 638.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 962×	`lower-/.f32`
4 952×	`lower-/.f64`
4 898×	`lower-*.f32`
4 878×	`lower-*.f64`
4 610×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	251
0	65	245
1	249	240
2	1877	240
0	8917	235

Stop Event

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

Counts

22 → 805

Calls

Call 1

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

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

eval171.0ms (1.5%)

Memory: 39.9MiB live, 422.0MiB allocated
Compiler: Compiled 29 805 to 2 808 computations (90.6% saved)

prune222.0ms (1.9%)

Memory

-22.9MiB live, 391.8MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 380	5	1 385
Fresh	1	1	2
Picked	3	2	5
Done	2	5	7
Total	1 386	13	1 399

Accuracy

100.0%

Counts

1 399 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	32.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	32.0%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z)))
	30.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
	66.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 #s(literal -1/2 binary64) y) z)))
✓	33.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
	63.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(approx (+ ( z y) (* y x)) (.f64 y z)) (.f64 y y)) y)))
✓	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.f64 z) y) y)))
✓	66.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
	66.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
✓	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 484 to 191 computations (60.5% saved)

regimes51.0ms (0.4%)

Memory

22.3MiB live, 101.8MiB allocated

Counts

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

10.0ms	(*.f64 x x)
9.0ms	z
8.0ms	x
8.0ms	y
7.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes89.0ms (0.8%)

Memory

-22.1MiB live, 56.1MiB allocated

Counts

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

Calls

6 calls:

35.0ms	(*.f64 z z)
32.0ms	y
6.0ms	x
6.0ms	z
5.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
87.6%	2	`x`
87.1%	3	`y`
88.5%	2	`z`
98.1%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
87.6%	2	`(*.f64 x x)`
88.5%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes5.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

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

Outputs

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.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 z (/.f64 (neg.f64 z) y) 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
96.6%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes4.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.4%	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)

regimes19.0ms (0.2%)

Memory

1.4MiB live, 42.1MiB allocated

Counts

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
57.9%	4	`y`
57.1%	4	`x`
54.9%	3	`(*.f64 x x)`
56.1%	2	`z`
56.1%	2	`(*.f64 z z)`
70.1%	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)

regimes4.0ms (0%)

Memory

-31.3MiB live, 7.4MiB allocated

Counts

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
65.2%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
65.2%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB 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	z
1.0ms	y
1.0ms	x
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
34.3%	1	`(*.f64 x x)`
34.3%	1	`x`
34.3%	1	`y`
34.3%	1	`z`
34.3%	1	`(*.f64 z z)`
34.3%	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

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	5.849661180471044e-118

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	5.849661180471044e-118

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.0545041090353468e-128	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.0145139989762959e+151	1.994724633680363e+158
0.0ms	-1.0545041090353468e-128	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.0545041090353468e-128	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.0545041090353468e-128	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

simplify14.0ms (0.1%)

Memory

-9.4MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-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	81	729
1	106	729
2	117	729
3	124	729
4	128	729
5	129	729

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 z (/.f64 (neg.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) #s(approx (+ ( (- x z) (* (/ 1 y) (+ x z))) y) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.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 z (/.f64 (neg.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 -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 #s(literal -1/2 binary64) y) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 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 #s(literal -1/2 binary64) y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 #s(literal -1/2 binary64) y) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z 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 z (/.f64 (neg.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) #s(approx (+ ( (- x z) (* (/ 1 y) (+ x z))) y) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (neg.f64 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) #s(approx (+ ( (- x z) (* (/ 1 y) (+ x z))) y) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (neg.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 z (/.f64 (neg.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 z (/.f64 z (neg.f64 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 z (/.f64 z (neg.f64 y)) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 #s(literal -1/2 binary64) y) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 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 #s(literal -1/2 binary64) y) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 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 (/.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 z (/.f64 #s(literal -1/2 binary64) y)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 #s(literal -1/2 binary64) y) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 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)))

soundness1.1s (9.9%)

Memory

-29.0MiB live, 1 016.4MiB allocated

Rules

16 756×	`lower-fma.f64`
16 756×	`lower-fma.f32`
14 700×	`lower-fma.f64`
14 700×	`lower-fma.f32`
7 488×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	251
0	61	251
1	233	235
2	1915	235
0	8267	228
0	31	211
0	46	211
1	173	211
2	1319	211
0	8431	203
0	40	251
0	65	245
1	249	240
2	1877	240
0	8917	235
0	287	6275
1	922	6069
2	3109	5750
0	8218	5402
0	352	7495
1	1098	7314
2	3619	6825
0	8582	6450
0	71	1128
1	196	1128
2	566	1042
3	2179	1028
4	6045	1004
0	8180	918

Stop Event

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

Compiler

Compiled 688 to 261 computations (62.1% saved)

preprocess100.0ms (0.9%)

Memory

31.1MiB live, 254.4MiB allocated

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 176 to 320 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.4%)

sample1.5s (13.2%)

preprocess555.0ms (4.9%)

explain160.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify359.0ms (3.1%)

localize51.0ms (0.4%)

series10.0ms (0.1%)

simplify256.0ms (2.2%)

rewrite323.0ms (2.8%)

eval80.0ms (0.7%)

prune114.0ms (1%)

simplify295.0ms (2.6%)

localize87.0ms (0.8%)

series70.0ms (0.6%)

simplify492.0ms (4.3%)

rewrite376.0ms (3.3%)

eval155.0ms (1.4%)

prune219.0ms (1.9%)

simplify605.0ms (5.3%)

localize184.0ms (1.6%)

series52.0ms (0.5%)

simplify512.0ms (4.5%)

rewrite524.0ms (4.6%)

eval535.0ms (4.7%)

prune474.0ms (4.1%)

simplify360.0ms (3.1%)

localize126.0ms (1.1%)

series160.0ms (1.4%)

simplify505.0ms (4.4%)

rewrite420.0ms (3.7%)

eval171.0ms (1.5%)

prune222.0ms (1.9%)

regimes51.0ms (0.4%)

regimes89.0ms (0.8%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.1s (9.9%)

preprocess100.0ms (0.9%)

end0.0ms (0%)

Profiling