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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.6%)

Memory

19.1MiB live, 97.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample1.3s (18.6%)

Memory

-106.1MiB live, 1 260.2MiB allocated

Samples

552.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-mult: 217.0ms (59.7% of total)

ival-div: 58.0ms (16% of total)

ival-add: 39.0ms (10.7% of total)

ival-sub: 34.0ms (9.4% of total)

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

exact: 5.0ms (1.4% of total)

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

Bogosity

explain284.0ms (3.9%)

Memory

15.0MiB live, 181.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
71	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
34	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	67	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	156
↳	`(*.f64 y y)`	overflow	72
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	116
↳	`(*.f64 z z)`	overflow	74
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	34	0
↳	`(*.f64 y y)`	overflow	72
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	116
↳	`(*.f64 z z)`	overflow	74
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	3	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	3
↳	`(*.f64 y y)`	underflow	55
↳	`(*.f64 x x)`	underflow	66
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	14
↳	`(*.f64 z z)`	underflow	47
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/o	1	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	156
↳	`(*.f64 y y)`	overflow	72
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	116
↳	`(*.f64 z z)`	overflow	74
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	89	0
-	0	167

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	0
-	0	0	167

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	167
1	73
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

211.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

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

ival-mult: 18.0ms (64.5% of total)

ival-div: 3.0ms (10.8% of total)

ival-add: 3.0ms (10.8% of total)

ival-sub: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess252.0ms (3.5%)

Memory

-18.6MiB live, 214.8MiB 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 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 15 to 11 computations (26.7% saved)

simplify168.0ms (2.3%)

Memory

26.6MiB live, 184.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
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))

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

localize42.0ms (0.6%)

Memory

-7.4MiB live, 30.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	7.539031537453088	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	16.430242917728826	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

35.0ms

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 (59.6% of total)

ival-div: 2.0ms (19.9% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

-18.4MiB live, 19.7MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
2.0ms	y	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	z	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	z	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	y	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))

simplify124.0ms (1.7%)

Memory

21.6MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1242
1	198	1242
2	568	1240
3	2184	1100
4	6032	1076
0	8158	990

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite287.0ms (4%)

Memory

-19.5MiB live, 231.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	42
1	68	42
2	569	42
0	8301	39

Stop Event

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

Counts

6 → 542

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y y (.f64 x x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (-.f64 (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z))))
(.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (-.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 x x))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) (fma.f64 y y (*.f64 x x))))
(.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)))
(.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 y y (.f64 x x)) z) (neg.f64 z))))))
(.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 12 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (+.f64 y z) (-.f64 y z)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (-.f64 (.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 z) z) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (fma.f64 y y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 (.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) (-.f64 x y) (.f64 z z))))
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(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) z)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) z)))
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 z (neg.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(fma.f64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) z) (.f64 #s(literal 4 binary64) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) y)))
(-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 z z) (fma.f64 y y (.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) z)) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z))))
(+.f64 (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)) (.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) z)))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))

eval153.0ms (2.1%)

Memory: -16.8MiB live, 128.5MiB allocated
Compiler: Compiled 19 367 to 1 679 computations (91.3% saved)

prune116.0ms (1.6%)

Memory

2.9MiB live, 120.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	666	8	674
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	667	8	675

Accuracy

100.0%

Counts

675 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.6%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))
▶	27.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	100.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
	66.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
▶	64.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	63.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	38.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 160 to 142 computations (11.3% saved)

simplify147.0ms (2%)

Memory

21.2MiB live, 98.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	7296	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(-.f64 y (/.f64 (*.f64 z z) y))
cost-diff	0	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))

Rules

14 722×	`lower-fma.f32`
14 718×	`lower-fma.f64`
2 914×	`lower-+.f32`
2 910×	`lower-+.f64`
2 814×	`lower-*.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	239
0	57	235
1	102	230
2	215	230
3	490	230
4	1710	230
5	5530	224
0	8311	224

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

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

localize187.0ms (2.6%)

Memory

-27.9MiB live, 94.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	1.1331774152400451	(pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64))
accuracy	2.249975228450042	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	15.884376731299852	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.0078125	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	7.999742617933762	(/.f64 (*.f64 z z) y)
accuracy	18.174112760140837	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	16.430242917728826	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	42.234167883700046	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	39.46030616807438	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy	0.00390625	(/.f64 (-.f64 x z) y)
accuracy	0.03125	(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)

Samples

107.0ms

256×

valid

Compiler

Compiled 211 to 32 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 46.0ms (67.9% of total)

ival-div: 8.0ms (11.8% of total)

ival-sub: 5.0ms (7.4% of total)

ival-add: 5.0ms (7.4% of total)

ival-pow: 4.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series74.0ms (1%)

Memory

18.0MiB live, 55.3MiB allocated

Counts

20 → 552

Calls

Call 1

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

Outputs
#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 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ y (/ (pow x 2) y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow x 2) y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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 (* 1/2 (/ (+ (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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) (taylor 0 z) (#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 (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#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 (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#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 (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) (taylor 0 z) (#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 (+ (pow x 2) (pow y 2)) (taylor 0 z) (#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 (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) (taylor 0 z) (#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 (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) (taylor 0 z) (#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 (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) (taylor 0 z) (#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 (* 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 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 z) (#s(alt (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) (taylor 0 z) (#s(alt (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) (taylor 0 z) (#s(alt (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) (taylor 0 z) (#s(alt (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y (/.f64 (.f64 z z) y)) (patch (-.f64 y (/.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (-.f64 y (/.f64 (.f64 z z) y)) (patch (-.f64 y (/.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (-.f64 y (/.f64 (.f64 z z) y)) (patch (-.f64 y (/.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (-.f64 y (/.f64 (.f64 z z) y)) (patch (-.f64 y (/.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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 (* 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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) y)) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#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 (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#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 (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#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 (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#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 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#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 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#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 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#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 (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 (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (patch (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (patch (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (patch (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (patch (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
7.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
5.0ms	z	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
4.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))

simplify188.0ms (2.6%)

Memory

1.9MiB live, 156.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 544×	`lower-fma.f64`
5 544×	`lower-fma.f32`
3 314×	`lower-*.f64`
3 314×	`lower-*.f32`
2 762×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	558	7576
1	1828	6777
2	7455	6696
0	8319	6360

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 541

Calls

Call 1

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

rewrite296.0ms (4.1%)

Memory

-17.1MiB live, 260.4MiB allocated

Rules

5 348×	`lower-/.f32`
5 338×	`lower-/.f64`
4 562×	`lower-*.f32`
4 550×	`lower-*.f64`
4 382×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	210
0	57	210
1	232	203
2	2008	203
0	9118	203

Stop Event

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

Counts

20 → 667

Calls

Call 1

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

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

eval295.0ms (4.1%)

Memory: 49.0MiB live, 295.1MiB allocated
Compiler: Compiled 26 490 to 3 160 computations (88.1% saved)

prune237.0ms (3.3%)

Memory

-27.4MiB live, 279.6MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 221	5	1 226
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	1 225	9	1 234

Accuracy

100.0%

Counts

1 234 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
✓	27.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	34.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
▶	30.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
▶	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
▶	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
▶	63.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
	69.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (*.f64 (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)))
✓	38.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 154 to 144 computations (6.5% saved)

simplify138.0ms (1.9%)

Memory

31.9MiB live, 219.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 510×	`lower-fma.f32`
11 508×	`lower-fma.f64`
2 876×	`lower-*.f32`
2 858×	`lower-*.f64`
2 464×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	234
0	61	232
1	116	232
2	256	230
3	633	230
4	1984	230
5	4671	220
0	8452	215

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

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

localize161.0ms (2.2%)

Memory

-13.5MiB live, 227.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 (-.f64 x z) y)
accuracy	0.125	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy	23.392472845097476	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
accuracy	0	(/.f64 z y)
accuracy	0	(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
accuracy	0.12890625	(.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)
accuracy	41.9863665111901	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
accuracy	0.10546875	(.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
accuracy	44.52622506508217	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
accuracy	0	(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
accuracy	0	(*.f64 z z)
accuracy	7.999742617933762	(/.f64 (*.f64 z z) y)
accuracy	41.9863665111901	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
accuracy	0	(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.05078125	(fma.f64 (neg.f64 z) (/.f64 z y) y)
accuracy	18.174112760140837	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))

Samples

141.0ms

256×

valid

Compiler

Compiled 192 to 40 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 38.0ms (45% of total)

ival-mult: 22.0ms (26.1% of total)

ival-div: 12.0ms (14.2% of total)

ival-pow: 8.0ms (9.5% of total)

ival-sub: 3.0ms (3.6% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series112.0ms (1.5%)

Memory

-19.1MiB live, 95.7MiB allocated

Counts

21 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	z	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (* (* (+ z x) 1/2) (/ (- x z) y)))
24.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (* (* (+ z x) 1/2) (/ (- x z) y)))
9.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (* (* (+ z x) 1/2) (/ (- x z) y)))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (* (* (+ z x) 1/2) (/ (- x z) y)))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (* (* (+ z x) 1/2) (/ (- x z) y)))

simplify200.0ms (2.8%)

Memory

41.3MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 576×	`lower-fma.f64`
8 576×	`lower-fma.f32`
4 072×	`lower-*.f64`
4 072×	`lower-*.f32`
2 120×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	5692
1	764	5444
2	2416	5182
3	6886	5182
0	8041	4976

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 555

Calls

Call 1

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

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

rewrite174.0ms (2.4%)

Memory

2.9MiB live, 321.3MiB allocated

Rules

4 608×	`lower-/.f32`
4 600×	`lower-/.f64`
4 462×	`lower-fma.f32`
4 460×	`lower-fma.f64`
4 160×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	212
0	61	210
1	239	208
2	1878	208
0	8299	203

Stop Event

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

Counts

21 → 529

Calls

Call 1

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

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

eval176.0ms (2.4%)

Memory: -24.8MiB live, 402.6MiB allocated
Compiler: Compiled 16 994 to 2 393 computations (85.9% saved)

prune97.0ms (1.3%)

Memory

-0.3MiB live, 198.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 132	2	1 134
Fresh	1	1	2
Picked	0	5	5
Done	0	2	2
Total	1 133	10	1 143

Accuracy

100.0%

Counts

1 143 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.2%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
✓	27.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	30.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
✓	34.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
✓	30.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
✓	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
▶	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)))
✓	63.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
✓	38.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 86 to 85 computations (1.2% saved)

simplify134.0ms (1.9%)

Memory

-12.4MiB live, 147.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

10 990×	`lower-fma.f64`
10 990×	`lower-fma.f32`
2 684×	`lower-*.f32`
2 676×	`lower-*.f64`
2 158×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	149
0	47	143
1	87	143
2	180	141
3	403	141
4	1135	141
5	3175	137
6	7024	137
0	8022	133

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

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

localize92.0ms (1.3%)

Memory

-2.4MiB live, 117.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.5469589052445087	(/.f64 #s(literal -1 binary64) (*.f64 z z))
accuracy	15.884376731299852	(/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
accuracy	37.17101959876027	#s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
accuracy	0	(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.1328125	(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))
accuracy	44.52622506508217	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
accuracy	0	(/.f64 y z)
accuracy	0	(*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))
accuracy	0.10546875	(/.f64 z (/.f64 y z))
accuracy	41.9863665111901	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 121 to 32 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 32.0ms (56.1% of total)

ival-div: 12.0ms (21% of total)

ival-add: 7.0ms (12.3% of total)

ival-pow: 4.0ms (7% of total)

ival-sub: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series31.0ms (0.4%)

Memory

25.8MiB live, 61.6MiB allocated

Counts

13 → 300

Calls

Call 1

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

Outputs
#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 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<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 (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<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 (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<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 (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<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 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<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 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<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 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (pow x 2) (pow y 2))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (+ (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 3))) (+ (/ y (pow (+ (pow x 2) (pow y 2)) 3)) (/ (* (+ y (* -1 y)) (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (pow x 2) (pow y 2))))))) (/ 1 (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 z z)) (patch (/.f64 #s(literal -1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 z z)) (patch (/.f64 #s(literal -1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 z z)) (patch (/.f64 #s(literal -1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 z z)) (patch (/.f64 #s(literal -1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor inf z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor inf z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor inf z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor inf z) (#s(alt (/.f64 z (/.f64 y z)) (patch (/.f64 z (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<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 #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<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 #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<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 #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow z 2) y)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<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 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 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 #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) (patch #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) (patch (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (patch (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) (patch #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (.f64 z z))) (patch #s(approx (pow (+ ( (+ y z) (- y z)) (* x x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify150.0ms (2.1%)

Memory

-12.2MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 632×	`lower-fma.f64`
3 632×	`lower-fma.f32`
2 994×	`lower-*.f64`
2 994×	`lower-*.f32`
1 950×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	3423
1	1046	3167
2	4527	3021
0	8413	2901

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 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))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 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 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 (+ (pow x 2) (pow y 2)))
(+ (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (+ (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 3))) (+ (/ y (pow (+ (pow x 2) (pow y 2)) 3)) (/ (* (+ y (* -1 y)) (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (pow x 2) (pow y 2))))))) (/ 1 (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -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))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -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 (pow z 2))
(/ (- (* -1 (/ (+ y (* -1 y)) z)) 1) (pow z 2))
(/ (- (* -1 (/ (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (pow z 2))) (+ 1 (+ (* -1 (/ y z)) (/ y z)))) (pow z 2))
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (pow z 3))) (+ 1 (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (+ (/ (pow y 2) (pow z 2)) (/ (pow (+ y (* -1 y)) 2) (pow z 2)))))))) (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -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))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -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 (pow z 2))
(/ (- (+ (* -1 (/ y z)) (/ y z)) 1) (pow z 2))
(/ (- (* -1 (/ (- (+ (/ (pow x 2) z) (+ (/ (pow y 2) z) (/ (pow (+ y (* -1 y)) 2) z))) (+ y (* -1 y))) z)) 1) (pow z 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) z) (/ (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2))) z)) (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) z)) (+ y (* -1 y))) z)) 1) (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(/ -1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 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 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1 (+ (* -1 (pow z 2)) (pow x 2)))
(+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(* 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 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 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 z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) y)) (/ (pow x 2) y))) (* -1 (+ z (* -1 z)))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2)))) y) (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2)))) y)) (* -1 (+ z (* -1 z)))) y))) (pow y 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))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ 1 (* (+ y z) (- y z)))
(+ (* -1 (/ (pow x 2) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ 1 (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (pow x 2) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ 1 (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ 1 (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (* (pow (+ y z) 4) (pow (- y z) 4)))) (/ 1 (* (pow (+ y z) 3) (pow (- y z) 3))))) (/ 1 (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ 1 (* (+ y z) (- y z))))
(* 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))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(* 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))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))

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

rewrite176.0ms (2.4%)

Memory

-6.7MiB live, 282.2MiB allocated

Rules

4 736×	`lower-/.f32`
4 722×	`lower-/.f64`
3 940×	`lower-*.f32`
3 932×	`lower-*.f64`
3 364×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	135
0	47	129
1	200	124
2	1499	124
0	8241	120

Stop Event

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

Counts

13 → 275

Calls

Call 1

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

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

eval68.0ms (0.9%)

Memory: 8.7MiB live, 157.2MiB allocated
Compiler: Compiled 6 990 to 1 005 computations (85.6% saved)

prune59.0ms (0.8%)

Memory

21.9MiB live, 140.2MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	572	3	575
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	574	11	585

Accuracy

100.0%

Counts

585 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	30.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
✓	34.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
✓	30.4%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z)))
✓	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
✓	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)))
	34.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) #s(literal -1/2 binary64)))
✓	63.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
✓	38.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 284 to 176 computations (38% saved)

regimes44.0ms (0.6%)

Memory

-8.6MiB live, 101.1MiB allocated

Counts

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes31.0ms (0.4%)

Memory

18.7MiB live, 61.7MiB 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 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z (/.f64 y z)) #s(literal -1/2 binary64)))
#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))

Outputs

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

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

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

Calls

6 calls:

10.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
4.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.6%	2	`x`
87.7%	2	`y`
91.0%	3	`z`
97.5%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
89.6%	2	`(*.f64 x x)`
91.0%	3	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

-30.1MiB live, 9.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

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
97.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
93.6%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes15.0ms (0.2%)

Memory

1.2MiB live, 40.7MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
60.9%	5	`y`
58.9%	2	`z`
58.9%	2	`(*.f64 z z)`
60.7%	4	`x`
58.4%	3	`(*.f64 x x)`
74.1%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
72.0%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) 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
64.2%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory

-15.1MiB live, 24.4MiB 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:

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

Results

Accuracy	Segments	Branch
38.3%	1	`y`
38.3%	1	`(*.f64 x x)`
38.3%	1	`x`
38.3%	1	`z`
38.3%	1	`(*.f64 z z)`
38.3%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-18638838129156330.0	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-18638838129156330.0	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-18638838129156330.0	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.4190754160366112e+151	1.1796094876269828e+205
0.0ms	-18638838129156330.0	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.4190754160366112e+151	1.1796094876269828e+205
0.0ms	-18638838129156330.0	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-18638838129156330.0	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify35.0ms (0.5%)

Memory

-18.4MiB live, 74.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	688
1	96	688
2	103	688
3	106	688
4	107	688

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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 -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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 -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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 -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x 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 -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 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)) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 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)) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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 -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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 -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x 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 -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 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)) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -10000000000000000 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 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)) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -10000000000000000 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness858.0ms (11.9%)

Memory

13.4MiB live, 773.8MiB allocated

Rules

7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
5 846×	`lower-*.f32`
5 838×	`lower-*.f64`
5 544×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	42
1	68	42
2	569	42
0	8301	39
0	72	1242
1	198	1242
2	568	1240
3	2184	1100
4	6032	1076
0	8158	990
0	36	210
0	57	210
1	232	203
2	2008	203
0	9118	203
0	558	7576
1	1828	6777
2	7455	6696
0	8319	6360

Stop Event

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

Compiler

Compiled 561 to 235 computations (58.1% saved)

preprocess193.0ms (2.7%)

Memory

6.3MiB live, 203.6MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 1 020 to 322 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (0.6%)

sample1.3s (18.6%)

explain284.0ms (3.9%)

preprocess252.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify168.0ms (2.3%)

localize42.0ms (0.6%)

series28.0ms (0.4%)

simplify124.0ms (1.7%)

rewrite287.0ms (4%)

eval153.0ms (2.1%)

prune116.0ms (1.6%)

simplify147.0ms (2%)

localize187.0ms (2.6%)

series74.0ms (1%)

simplify188.0ms (2.6%)

rewrite296.0ms (4.1%)

eval295.0ms (4.1%)

prune237.0ms (3.3%)

simplify138.0ms (1.9%)

localize161.0ms (2.2%)

series112.0ms (1.5%)

simplify200.0ms (2.8%)

rewrite174.0ms (2.4%)

eval176.0ms (2.4%)

prune97.0ms (1.3%)

simplify134.0ms (1.9%)

localize92.0ms (1.3%)

series31.0ms (0.4%)

simplify150.0ms (2.1%)

rewrite176.0ms (2.4%)

eval68.0ms (0.9%)

prune59.0ms (0.8%)

regimes44.0ms (0.6%)

regimes31.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify35.0ms (0.5%)

soundness858.0ms (11.9%)

preprocess193.0ms (2.7%)

end0.0ms (0%)

Profiling