Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample1.0s (20.4%)

Memory

-145.8MiB live, 946.1MiB allocated

Samples

557.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 314.0ms

ival-mult: 215.0ms (68.4% of total)

ival-add: 91.0ms (28.9% of total)

ival-true: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain109.0ms (2.1%)

Memory

-21.0MiB live, 140.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 z z)`	overflow	48
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	89
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	89
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 z z)`	overflow	96
↳	`(*.f64 z z)`	overflow	48
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	89
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 z z)`	overflow	48
↳	`(*.f64 z z)`	overflow	48

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	1
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 106 to 28 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 10.0ms (56.7% of total)

ival-mult: 7.0ms (39.7% of total)

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

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

preprocess71.0ms (1.4%)

Memory

3.4MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Rules

726×	`unsub-neg`
312×	`sub-neg`
286×	`associate-+l-`
256×	`cancel-sign-sub`
210×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 18 to 8 computations (55.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	320	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	384	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Rules

58×	`lower-fma.f64`
58×	`lower-fma.f32`
36×	`lower-+.f32`
30×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 x y (*.f64 z (+.f64 z z)))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 x y (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z

localize33.0ms (0.7%)

Memory

-19.2MiB live, 54.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.24999793583020583	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3281229358302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.44921668583020585	(+.f64 (.f64 x y) (.f64 z z))

Samples

19.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (48.6% of total)

ival-mult: 3.0ms (48.6% of total)

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

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

series8.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify189.0ms (3.7%)

Memory

-5.9MiB live, 252.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 428×	`lower-fma.f64`
8 428×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
1 038×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite595.0ms (11.7%)

Memory

-2.9MiB live, 343.9MiB allocated

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
4 638×	`lower-*.f32`
4 634×	`lower-*.f64`
3 250×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)

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

eval55.0ms (1.1%)

Memory: 3.7MiB live, 117.9MiB allocated
Compiler: Compiled 16 484 to 999 computations (93.9% saved)

prune77.0ms (1.5%)

Memory

-3.4MiB live, 125.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
	99.5%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
▶	80.5%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
▶	43.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	61.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 152 to 88 computations (42.1% saved)

simplify7.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
cost-diff	128	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 x y (*.f64 z z))
cost-diff	0	(+.f64 z z)
cost-diff	256	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Rules

60×	`lower-fma.f32`
54×	`lower-fma.f64`
40×	`lower-+.f32`
36×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	138
0	30	141
1	50	133
2	60	121
3	67	121
4	69	121
0	69	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 z z)
z
(fma.f64 x y (*.f64 z z))
x
y
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 x y)
x
y

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(+.f64 z z)
z
(fma.f64 x y (*.f64 z z))
(fma.f64 z z (*.f64 x y))
x
y
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 z (.f64 z #s(literal 3 binary64))))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z z)
z
#s(literal 3 binary64)
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 x y)
x
y

localize77.0ms (1.5%)

Memory

-15.1MiB live, 97.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.5117166858302058	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.3281229358302058	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
accuracy	24.9637965903813	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.15234375	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	36.12032365306211	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 x y)
accuracy	24.972605413063174	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.0234375	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
accuracy	0.24999724760556022	(fma.f64 x y (*.f64 z z))

Samples

29.0ms

256×

valid

Compiler

Compiled 130 to 17 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.5% of total)

ival-add: 6.0ms (45% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

11 → 312

Calls

Call 1

Inputs
#s(alt (fma.f64 (+.f64 z z) z (fma.f64 x y (.f64 z z))) (patch (fma.f64 (+.f64 z z) z (fma.f64 x y (.f64 z z))) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (fma.f64 x y (.f64 z z)) (patch (fma.f64 x y (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y)) #<representation binary64>) () ())

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

Calls

78 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+ z z)
0.0ms	z	@	inf	(* (* z z) 3)
0.0ms	z	@	0	(* (* z z) 3)
0.0ms	z	@	inf	(+ (* (+ z z) z) (+ (* x y) (* z z)))
0.0ms	z	@	0	(+ z z)

simplify425.0ms (8.4%)

Memory

-3.6MiB live, 267.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 758×	`lower-fma.f64`
6 758×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 874×	`lower-*.f32`
1 104×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2088
1	302	2088
2	916	2088
3	2526	2088
4	6228	2088
0	8506	1899

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

rewrite71.0ms (1.4%)

Memory

-0.2MiB live, 123.4MiB allocated

Rules

958×	`lower-fma.f32`
952×	`lower-fma.f64`
566×	`lower-*.f32`
560×	`lower-*.f64`
384×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	109
0	30	109
1	120	94
0	1067	88

Stop Event

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

Counts

11 → 132

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 z z)
(fma.f64 x y (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Outputs
(+.f64 (*.f64 z z) (fma.f64 x y (+.f64 z z)))
(+.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z))
(+.f64 (fma.f64 x y (+.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (fma.f64 z #s(literal 2 binary64) (.f64 z z)))
(+.f64 (*.f64 x y) (fma.f64 z z (+.f64 z z)))
(+.f64 (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(+.f64 (fma.f64 z #s(literal 2 binary64) (.f64 z z)) (.f64 x y))
(-.f64 (/.f64 (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (/.f64 (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))))
(fma.f64 z z (fma.f64 x y (+.f64 z z)))
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 z #s(literal 2 binary64) (fma.f64 z z (*.f64 x y)))
(fma.f64 x y (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
(fma.f64 x y (fma.f64 z z (+.f64 z z)))
(fma.f64 y x (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
(fma.f64 y x (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) z (fma.f64 z z (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (fma.f64 z z (.f64 x y)))
(fma.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))) (+.f64 z z))
(fma.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))))) (.f64 z z))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z (.f64 x y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))
(fma.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z))) (+.f64 z z))
(fma.f64 (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (fma.f64 x y (+.f64 z z)))
(/.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z)))))
(/.f64 (fma.f64 (fma.f64 x y (+.f64 z z)) (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y (+.f64 z z))) (*.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z)))))
(/.f64 (fma.f64 (fma.f64 x y (+.f64 z z)) (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (.f64 (*.f64 z z) (fma.f64 x y (+.f64 z z))))))
(/.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y)))
(/.f64 (*.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x y (+.f64 z z)) (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y (+.f64 z z))) (*.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))))))
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eval246.0ms (4.9%)

Memory: -22.6MiB live, 116.3MiB allocated
Compiler: Compiled 6 890 to 323 computations (95.3% saved)

prune58.0ms (1.2%)

Memory

-10.7MiB live, 64.0MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	539	5	544
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	544	7	551

Accuracy

100.0%

Counts

551 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.5%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
▶	81.4%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
▶	80.9%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
▶	99.5%	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	43.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	43.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	61.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 124 to 70 computations (43.5% saved)

simplify8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* x y) (* z z)) (*.f64 z z))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* x y) (* z z)) (*.f64 x y))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
cost-diff	0	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))

Rules

84×	`lower-fma.f32`
76×	`lower-fma.f64`
64×	`lower-+.f32`
62×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	160
0	36	160
1	56	154
2	67	149
3	82	149
4	86	149
0	86	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
y
x
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) (*.f64 z z))
(*.f64 z z)

Outputs
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
y
x
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
z
#s(literal 3 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) (*.f64 x y))
#s(approx (+ (* x y) (* z z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) (*.f64 z z))
(*.f64 z z)

localize65.0ms (1.3%)

Memory

5.4MiB live, 92.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.0234375	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
accuracy	36.121752033047336	#s(approx (+ (* x y) (* z z)) (*.f64 z z))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.0234375	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
accuracy	24.95541077121908	#s(approx (+ (* x y) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.03125	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy	24.9637965903813	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.12890625	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	36.12032365306211	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
accuracy	0	(*.f64 z z)
accuracy	0.15234375	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	0.24999724760556022	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 136 to 20 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (51.1% of total)

ival-add: 9.0ms (46% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.9%)

Memory

-14.2MiB live, 22.9MiB allocated

Counts

14 → 372

Calls

Call 1

Inputs
#s(alt (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (patch (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (.f64 x y))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* z z)) (.f64 x y)) (patch #s(approx (+ ( x y) (* z z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* z z)) (.f64 z z)) (patch #s(approx (+ ( x y) (* z z)) (*.f64 z z)) #<representation binary64>) () ())

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

Calls

93 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	(+ (* x y) (* z z))
0.0ms	z	@	-inf	(* z 3)
0.0ms	z	@	0	(* z 3)
0.0ms	z	@	inf	(* z 3)
0.0ms	z	@	-inf	(+ (* x y) (* z z))

simplify194.0ms (3.8%)

Memory

30.5MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 758×	`lower-fma.f64`
6 758×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 874×	`lower-*.f32`
1 104×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2400
1	304	2400
2	918	2400
3	2505	2400
4	6223	2400
0	8481	2184

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
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Outputs
(* 3 (pow z 2))
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(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
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(fma.f64 z z (*.f64 x y))
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rewrite109.0ms (2.2%)

Memory

-6.6MiB live, 154.0MiB allocated

Rules

1 060×	`lower-fma.f32`
1 052×	`lower-fma.f64`
626×	`lower-*.f32`
616×	`lower-*.f64`
428×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
0	36	138
1	145	124
0	1166	114

Stop Event

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

Counts

14 → 116

Calls

Call 1

Inputs
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(+.f64 z z)
#s(approx (+ (* x y) (* z z)) (*.f64 x y))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
#s(approx (+ (* x y) (* z z)) (*.f64 z z))

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z)))))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64))) (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 y x)))))
(/.f64 (.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)))) (neg.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 y x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))) (neg.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 y x)))) (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 y x)))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 y x))))))
(.f64 (.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
(+.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))) (/.f64 (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
(/.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))))
(/.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))))))
(/.f64 (.f64 (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x))))) (neg.f64 (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))))))
(/.f64 (-.f64 (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 z (.f64 z (.f64 z z)))) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)))
(.f64 (fma.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z))))))
(.f64 (.f64 (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x))) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(+.f64 #s(approx (+ (* x y) (* z z)) (*.f64 y x)) (+.f64 z z))
(+.f64 (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 y x)))) (/.f64 (.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x))) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 y x)))))
(fma.f64 z (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) z #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 y x)))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(approx (+ ( x y) (* z z)) (*.f64 y x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) (*.f64 y x)))
(/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 #s(approx (+ ( x y) (* z z)) (*.f64 y x)) (+.f64 z z)))))
(/.f64 (.f64 (+.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 y x)))) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 y x))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z))))) (neg.f64 (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 y x))))) (neg.f64 (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))) (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x))) (.f64 (+.f64 z z) (*.f64 (+.f64 z z) (+.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z z) #s(approx (+ (* x y) (* z z)) (.f64 y x))) (.f64 (+.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 y x))))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( x y) (* z z)) (.f64 y x)) #s(approx (+ ( x y) (* z z)) (.f64 y x))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 #s(approx (+ (* x y) (* z z)) (*.f64 y x)) (+.f64 z z)))
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(.f64 (.f64 (+.f64 #s(approx (+ (* x y) (* z z)) (.f64 y x)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 y x)))))
(+.f64 z z)
(+.f64 (.f64 z z) (.f64 z z))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
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(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (*.f64 z z))))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
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(/.f64 (.f64 z (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
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(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 (+.f64 z z) z)
(*.f64 #s(literal 2 binary64) z)
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
#s(approx (+ (* x y) (* z z)) (*.f64 y x))
(+.f64 #s(approx (+ (* x y) (* z z)) (*.f64 z z)) (+.f64 z z))
(+.f64 (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
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(fma.f64 z (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 #s(literal 2 binary64) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 z z)))
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(/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 #s(approx (+ ( x y) (* z z)) (*.f64 z z)) (+.f64 z z)))))
(/.f64 (.f64 (+.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 z z)))) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z))))) (neg.f64 (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 z z))))) (neg.f64 (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))) (fma.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z))) (.f64 (+.f64 z z) (*.f64 (+.f64 z z) (+.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z z) #s(approx (+ (* x y) (* z z)) (.f64 z z))) (.f64 (+.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 z z))))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 #s(approx (+ (* x y) (* z z)) (*.f64 z z)) (+.f64 z z)))
(.f64 (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) #s(approx (+ ( x y) (* z z)) (.f64 z z))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (-.f64 #s(approx (+ ( x y) (* z z)) (.f64 z z)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(.f64 (.f64 (+.f64 #s(approx (+ (* x y) (* z z)) (.f64 z z)) (+.f64 z z)) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z z) #s(approx (+ ( x y) (* z z)) (*.f64 z z)))))
#s(approx (+ (* x y) (* z z)) (*.f64 z z))

eval124.0ms (2.4%)

Memory: -8.3MiB live, 115.6MiB allocated
Compiler: Compiled 6 665 to 287 computations (95.7% saved)

prune46.0ms (0.9%)

Memory

-21.4MiB live, 100.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	564	0	564
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	564	7	571

Accuracy

100.0%

Counts

571 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.5%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
✓	81.4%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
✓	80.9%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	99.5%	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	43.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	43.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	61.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 182 to 64 computations (64.8% saved)

regimes30.0ms (0.6%)

Memory

34.9MiB live, 70.1MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Calls

6 calls:

8.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes31.0ms (0.6%)

Memory

-21.3MiB live, 63.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))

Outputs
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	1	`(*.f64 x y)`
99.5%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes24.0ms (0.5%)

Memory

19.6MiB live, 56.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))

Outputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Calls

6 calls:

5.0ms	(*.f64 x y)
4.0ms	x
4.0ms	y
4.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	1	`(*.f64 x y)`
99.5%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes23.0ms (0.4%)

Memory

-21.5MiB live, 52.5MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Calls

6 calls:

5.0ms	x
5.0ms	(*.f64 z z)
3.0ms	y
3.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes25.0ms (0.5%)

Memory

7.8MiB live, 49.7MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))

Outputs
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))

Calls

6 calls:

11.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x y)
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
81.4%	1	`x`
86.0%	3	`y`
86.0%	2	`z`
81.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
87.0%	3	`(*.f64 x y)`
86.0%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes9.0ms (0.2%)

Memory

-11.8MiB live, 22.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))

Outputs
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.0%	2	`z`
86.0%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))

Outputs
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.7%	2	`z`
85.7%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

3 calls:

2.0ms	z
2.0ms	(*.f64 x y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
73.7%	3	`(*.f64 x y)`
84.5%	2	`z`
84.5%	2	`(*.f64 z z)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes34.0ms (0.7%)

Memory

-15.7MiB live, 22.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Calls

6 calls:

1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
61.0%	1	`(*.f64 x y)`
61.0%	1	`x`
61.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
61.0%	1	`y`
61.0%	1	`z`
61.0%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.526970413668834e+75	5.662783405155655e+83

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.526970413668834e+75	5.662783405155655e+83

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.526970413668834e+75	5.662783405155655e+83

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.526970413668834e+75	5.662783405155655e+83

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	228
1	40	228

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (.f64 x y))) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 z (+.f64 z (+.f64 z z)) (*.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (.f64 x y))) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 z (.f64 z #s(literal 3 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 z (.f64 z #s(literal 3 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 z (.f64 z #s(literal 3 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness1.1s (21.4%)

Memory

11.9MiB live, 679.1MiB allocated

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 428×	`lower-fma.f64`
8 428×	`lower-fma.f32`
6 758×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763
0	20	109
0	30	109
1	120	94
0	1067	88
0	86	2088
1	302	2088
2	916	2088
3	2526	2088
4	6228	2088
0	8506	1899
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Compiler

Compiled 492 to 180 computations (63.4% saved)

preprocess129.0ms (2.5%)

Memory

-7.0MiB live, 195.2MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 476 to 166 computations (65.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (20.4%)

explain109.0ms (2.1%)

preprocess71.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize33.0ms (0.7%)

series8.0ms (0.2%)

simplify189.0ms (3.7%)

rewrite595.0ms (11.7%)

eval55.0ms (1.1%)

prune77.0ms (1.5%)

simplify7.0ms (0.1%)

localize77.0ms (1.5%)

series12.0ms (0.2%)

simplify425.0ms (8.4%)

rewrite71.0ms (1.4%)

eval246.0ms (4.9%)

prune58.0ms (1.2%)

simplify8.0ms (0.1%)

localize65.0ms (1.3%)

series46.0ms (0.9%)

simplify194.0ms (3.8%)

rewrite109.0ms (2.2%)

eval124.0ms (2.4%)

prune46.0ms (0.9%)

regimes30.0ms (0.6%)

regimes31.0ms (0.6%)

regimes24.0ms (0.5%)

regimes23.0ms (0.4%)

regimes25.0ms (0.5%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes34.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.1s (21.4%)

preprocess129.0ms (2.5%)

end0.0ms (0%)

Profiling