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

0.9MiB live, 0.9MiB 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)

sample631.0ms (7.1%)

Memory

29.3MiB live, 1 082.5MiB allocated

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 111.0ms (51.1% of total)

ival-add: 97.0ms (44.7% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain207.0ms (2.3%)

Memory

4.8MiB live, 163.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.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	5	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	73
`+.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	96
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	96
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	146
↳	`(*.f64 z z)`	overflow	73
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	96
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	73
↳	`(*.f64 z z)`	overflow	73

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	4
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 106 to 28 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.5% of total)

ival-add: 6.0ms (37.5% of total)

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

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

preprocess97.0ms (1.1%)

Memory

13.4MiB live, 52.7MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(+.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

11.9MiB live, 11.9MiB 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

localize48.0ms (0.5%)

Memory

-10.7MiB live, 46.0MiB 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	0.3046854358302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.054685435830206	(+.f64 (.f64 x y) (.f64 z z))

Samples

14.0ms

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 (47.8% of total)

ival-mult: 3.0ms (47.8% of total)

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

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

series12.0ms (0.1%)

Memory

-20.3MiB live, 17.5MiB 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
5.0ms	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))

simplify233.0ms (2.6%)

Memory

26.6MiB live, 219.4MiB 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)

rewrite811.0ms (9.1%)

Memory

-175.7MiB live, 445.7MiB 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)

eval54.0ms (0.6%)

Memory: 21.1MiB live, 106.4MiB allocated
Compiler: Compiled 16 484 to 999 computations (93.9% saved)

prune263.0ms (3%)

Memory

-7.5MiB live, 105.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	448	8	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	449	8	457

Accuracy

100.0%

Counts

457 → 8

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)))
	98.3%	(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)))
	97.9%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
▶	77.3%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
▶	23.4%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))))
	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	50.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 274 to 128 computations (53.3% saved)

simplify506.0ms (5.7%)

Memory

0.5MiB live, 523.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z)))))
cost-diff	64	(fma.f64 z z #s(literal 0 binary64))
cost-diff	7232	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
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 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

25 148×	`lower-fma.f32`
25 134×	`lower-fma.f64`
4 724×	`lower-+.f32`
4 720×	`lower-+.f64`
3 298×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	307
0	53	244
1	103	236
2	350	221
3	2017	221
4	2984	221
5	5101	221
6	5984	221
7	6395	221
8	6658	221
0	8735	217

Stop Event

1×	iter limit
1×	node limit
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
(+.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 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z)))))
#s(literal 1 binary64)
(fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))
(fma.f64 z (+.f64 z z) (*.f64 x y))
z
(+.f64 z z)
(*.f64 x y)
x
y
(fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 z z #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 z (.f64 z (*.f64 z z)))
(.f64 z (.f64 z z))
(*.f64 z z)
(.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (*.f64 z z)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)

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

localize173.0ms (1.9%)

Memory

2.3MiB live, 79.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.2578097476055602	(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.2894030725728086	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z)))))
accuracy	1.003895240422241	(fma.f64 z (+.f64 z z) (*.f64 x y))
accuracy	43.93754497838363	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))))
accuracy	0	(*.f64 z z)
accuracy	0.10546875	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.2578097476055602	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.3046854358302058	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
accuracy	31.47746687447396	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	31.484742058730074	#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	0.2539034976055602	(fma.f64 x y (*.f64 z z))

Samples

45.0ms

256×

valid

Compiler

Compiled 331 to 31 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 14.0ms (51.1% of total)

ival-add: 11.0ms (40.1% of total)

ival-div: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.5%)

Memory

-9.9MiB live, 66.9MiB allocated

Counts

16 → 468

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

Calls

117 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/ 1 (+ (* (+ (* z (+ z z)) (* x y)) (+ (* x y) (+ (* z z) 0))) (* z (* z (* z z)))))
2.0ms	x	@	0	(/ 1 (+ (* (+ (* z (+ z z)) (* x y)) (+ (* x y) (+ (* z z) 0))) (* z (* z (* z z)))))
2.0ms	x	@	-inf	(/ 1 (+ (* (+ (* z (+ z z)) (* x y)) (+ (* x y) (+ (* z z) 0))) (* z (* z (* z z)))))
1.0ms	y	@	0	(/ 1 (+ (* (+ (* z (+ z z)) (* x y)) (+ (* x y) (+ (* z z) 0))) (* z (* z (* z z)))))
1.0ms	x	@	inf	(/ 1 (+ (* (+ (* z (+ z z)) (* x y)) (+ (* x y) (+ (* z z) 0))) (* z (* z (* z z)))))

simplify347.0ms (3.9%)

Memory

-1.9MiB live, 373.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 802×	`lower-fma.f64`
7 802×	`lower-fma.f32`
6 604×	`lower-*.f64`
6 604×	`lower-*.f32`
3 212×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	6022
1	1787	5729
2	7859	5727
0	8345	5431

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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)))))
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(+ (* 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))))
(* 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))))
(* 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))))
(* 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))))

Outputs
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) 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 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64) (neg.f64 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64) (neg.f64 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64) (neg.f64 y))))
(+ (* 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 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(neg.f64 (.f64 (neg.f64 y) (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(neg.f64 (.f64 (neg.f64 y) (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(neg.f64 (.f64 (neg.f64 y) (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(* 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)))
(*.f64 x (fma.f64 z (/.f64 z x) y))
(* x (+ y (/ (pow z 2) x)))
(*.f64 x (fma.f64 z (/.f64 z x) y))
(* x (+ y (/ (pow z 2) x)))
(*.f64 x (fma.f64 z (/.f64 z x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 z x) y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 z x) y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 z x) y))))
(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)
(* y (+ x (/ (pow z 2) y)))
(*.f64 y (fma.f64 z (/.f64 z y) x))
(* y (+ x (/ (pow z 2) y)))
(*.f64 y (fma.f64 z (/.f64 z y) x))
(* y (+ x (/ (pow z 2) y)))
(*.f64 y (fma.f64 z (/.f64 z y) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z (/.f64 z y) x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z (/.f64 z y) x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z (/.f64 z y) x)))
(* 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))))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(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 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64) (neg.f64 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64) (neg.f64 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64) (neg.f64 y))))
(+ (* 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 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
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(neg.f64 (.f64 (neg.f64 y) (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(neg.f64 (.f64 (neg.f64 y) (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(+ (* 2 (pow z 2)) (pow z 2))
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(* x y)
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(* x y)
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(+ (* 2 (pow z 2)) (pow z 2))
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(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(* x y)
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(* x y)
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(* x y)
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rewrite601.0ms (6.8%)

Memory

37.6MiB live, 704.4MiB allocated

Rules

10 376×	`lower-fma.f32`
10 366×	`lower-fma.f64`
4 066×	`lower-/.f32`
4 064×	`lower-/.f64`
3 716×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	53	200
1	250	152
2	2680	122
0	8744	116

Stop Event

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

Counts

16 → 1 182

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)
(+.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 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))))
(fma.f64 z z #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z)))))
(fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))
(fma.f64 z (+.f64 z z) (*.f64 x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))

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

eval639.0ms (7.2%)

Memory: 10.9MiB live, 743.7MiB allocated
Compiler: Compiled 144 398 to 5 353 computations (96.3% saved)

prune666.0ms (7.5%)

Memory

-5.8MiB live, 765.9MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	2 666	5	2 671
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	2 671	8	2 679

Accuracy

100.0%

Counts

2 679 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
▶	78.3%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
▶	99.5%	(fma.f64 y x (.f64 (.f64 z #s(literal 3 binary64)) z))
▶	78.9%	(fma.f64 y x (*.f64 z z))
✓	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
	93.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y)))
✓	50.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 152 to 87 computations (42.8% saved)

simplify10.0ms (0.1%)

Memory

-18.0MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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 z z)
cost-diff	0	(fma.f64 y x (*.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 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	(fma.f64 y x (.f64 (.f64 z #s(literal 3 binary64)) z))

Rules

82×	`lower-fma.f32`
74×	`lower-fma.f64`
60×	`lower-+.f32`
58×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	133
0	35	128
1	55	126
2	66	122
3	81	122
4	85	122
0	85	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize69.0ms (0.8%)

Memory

25.5MiB live, 133.7MiB allocated

Localize:

Found 16 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	28.159408579158864	#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	31.465061852943226	#s(approx (+ (* x y) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.2539034976055602	(fma.f64 y x (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	0.10546875	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	28.145807211574475	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.13671875	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	0.2578097476055602	(fma.f64 y x (.f64 (.f64 z #s(literal 3 binary64)) z))

Samples

38.0ms

256×

valid

Compiler

Compiled 117 to 20 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (65.7% of total)

ival-add: 7.0ms (32.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-6.1MiB live, 30.0MiB allocated

Counts

13 → 336

Calls

Call 1

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

84 calls:

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

simplify235.0ms (2.7%)

Memory

2.2MiB live, 308.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 632×	`lower-fma.f64`
8 632×	`lower-fma.f32`
3 898×	`lower-*.f64`
3 898×	`lower-*.f32`
1 204×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	2060
1	248	2060
2	752	2060
3	2150	2060
4	5629	2060
0	8219	1871

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(+ (* 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))
(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)
(+ (* 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)))))
(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)))))
(* 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)
(+ (* 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))))
(* 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)
(* 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)))))
(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))))

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

rewrite93.0ms (1%)

Memory

-14.1MiB live, 99.8MiB allocated

Rules

986×	`lower-fma.f32`
978×	`lower-fma.f64`
578×	`lower-*.f32`
568×	`lower-*.f64`
380×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	111
0	35	106
1	140	100
0	1065	97

Stop Event

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

Counts

13 → 117

Calls

Call 1

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

eval178.0ms (2%)

Memory: 16.6MiB live, 135.5MiB allocated
Compiler: Compiled 6 068 to 287 computations (95.3% saved)

prune99.0ms (1.1%)

Memory

-4.7MiB live, 118.8MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	517	2	519
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	517	10	527

Accuracy

100.0%

Counts

527 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
✓	78.3%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
✓	99.5%	(fma.f64 y x (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	78.9%	(fma.f64 y x (*.f64 z z))
✓	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
▶	93.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y)))
✓	50.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
▶	36.0%	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Compiler

Compiled 101 to 59 computations (41.6% saved)

simplify318.0ms (3.6%)

Memory

-17.9MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
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 (*.f64 z z) x)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y)))
cost-diff	704	(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Rules

11 062×	`lower-fma.f32`
11 060×	`lower-fma.f64`
4 388×	`lower-*.f32`
4 380×	`lower-*.f64`
2 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	28	107
1	51	101
2	81	89
3	142	88
4	213	88
5	384	88
6	935	88
7	2064	88
8	3648	88
9	5348	88
10	6306	88
11	6481	88
12	6582	88
13	6696	88
0	8723	83

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.3%)

Memory

-3.1MiB live, 75.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.13671875	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	28.145807211574475	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y)))
accuracy	0.078125	(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
accuracy	4.068175181686141	(.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
accuracy	9.51731678308045	(/.f64 (*.f64 z z) x)
accuracy	0	(*.f64 z z)
accuracy	28.159408579158864	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Samples

98.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (63.2% of total)

ival-add: 5.0ms (24.3% of total)

ival-div: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

-9.9MiB live, 27.3MiB allocated

Counts

9 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* x (+ (* 3 (/ (* z z) x)) y))
1.0ms	x	@	0	(* x (+ (* 3 (/ (* z z) x)) y))
1.0ms	z	@	inf	(* x (+ (* 3 (/ (* z z) x)) y))
0.0ms	x	@	-inf	(* x (+ (* 3 (/ (* z z) x)) y))
0.0ms	x	@	inf	(* x (+ (* 3 (/ (* z z) x)) y))

simplify183.0ms (2.1%)

Memory

33.7MiB live, 267.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`lower-fma.f64`
7 514×	`lower-fma.f32`
3 232×	`lower-*.f64`
3 232×	`lower-*.f32`
1 536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1584
1	289	1584
2	871	1584
3	2971	1584
4	6339	1584
0	8249	1449

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

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

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

rewrite360.0ms (4.1%)

Memory

-16.1MiB live, 494.3MiB allocated

Rules

13 570×	`lower-fma.f32`
13 568×	`lower-fma.f64`
6 200×	`lower-*.f32`
6 192×	`lower-*.f64`
3 660×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	28	92
1	118	88
2	820	80
0	8999	77

Stop Event

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

Counts

9 → 213

Calls

Call 1

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

Outputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z z)))
(neg.f64 (neg.f64 (*.f64 z z)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 z z)
(*.f64 z (neg.f64 (neg.f64 z)))
(.f64 z (.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 z z)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) z)
(+.f64 (.f64 y x) (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x))))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x))) (.f64 y x))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (.f64 x x)) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) y))) (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) y))))
(fma.f64 y x (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(fma.f64 x y (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(fma.f64 x (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) (*.f64 y x))
(fma.f64 z (.f64 (/.f64 z x) (.f64 #s(literal 3 binary64) x)) (*.f64 y x))
(fma.f64 z (.f64 (.f64 (/.f64 z x) #s(literal 3 binary64)) x) (*.f64 y x))
(fma.f64 (.f64 z z) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) x)) (.f64 y x))
(fma.f64 (.f64 z z) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 z z) x) x) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z z) x) (.f64 #s(literal 3 binary64) x) (*.f64 y x))
(fma.f64 (.f64 z #s(literal 3 binary64)) (.f64 (/.f64 z x) x) (*.f64 y x))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) x (*.f64 y x))
(fma.f64 (neg.f64 (.f64 z z)) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal 3 binary64) x)) (.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x))) (.f64 y x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) x) (.f64 y x))
(fma.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 y x))
(fma.f64 (/.f64 z x) (.f64 z (.f64 #s(literal 3 binary64) x)) (*.f64 y x))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 z z) x) (*.f64 y x))
(fma.f64 (/.f64 (.f64 x (.f64 z z)) x) #s(literal 3 binary64) (*.f64 y x))
(fma.f64 (.f64 x (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (.f64 y x))
(fma.f64 (.f64 x (.f64 (.f64 z z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 y x))
(fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) x) (.f64 y x))
(fma.f64 (.f64 x z) (.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 y x))
(fma.f64 (.f64 x (.f64 z #s(literal 3 binary64))) (/.f64 z x) (*.f64 y x))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) z) (/.f64 z x) (*.f64 y x))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal -1 binary64) x) (.f64 y x))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 z z) x) (.f64 y x))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (/.f64 z x)) z (*.f64 y x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)) (.f64 (.f64 y x) (.f64 y (.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) y)) (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y)) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x))) (.f64 x (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) y) (.f64 x (-.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x))) (.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x)) y) (.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (*.f64 y y)) x)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (fma.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 x (.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)))))))
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(.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (*.f64 x x)))))
(.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 (.f64 z z) x) (-.f64 (.f64 (/.f64 (.f64 z z) x) #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) y))))))
(.f64 (fma.f64 y (+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x))) (.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y))
(.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) y)))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (*.f64 x x))))))
(.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) y))))
(.f64 (-.f64 (.f64 y y) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 z z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (*.f64 z z) x)))
(neg.f64 (neg.f64 (/.f64 (*.f64 z z) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 z z) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z z))))
(/.f64 z (/.f64 x z))
(/.f64 (*.f64 z z) x)
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z z))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x z))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 z z))) (neg.f64 x))
(/.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (.f64 z z)) #s(literal 1 binary64)) (neg.f64 x))
(pow.f64 (/.f64 x (*.f64 z z)) #s(literal -1 binary64))
(*.f64 z (/.f64 z x))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) x) z))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z z))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 z x) z)
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 z z) x)))
(.f64 (neg.f64 z) (.f64 z (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z x))
(.f64 (pow.f64 (/.f64 x (.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 z z)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) z) (/.f64 z x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z z))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) z) z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(+.f64 (.f64 z z) (.f64 z (+.f64 z z)))
(+.f64 (.f64 z (+.f64 z z)) (.f64 z z))
(fma.f64 z z (*.f64 z (+.f64 z z)))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z (neg.f64 (neg.f64 z)) (*.f64 z (+.f64 z z)))
(fma.f64 z (.f64 z #s(literal 1 binary64)) (.f64 z (+.f64 z z)))
(fma.f64 z (.f64 (+.f64 z z) (.f64 z (+.f64 z z))) (*.f64 z z))
(fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 z (+.f64 z z)))
(fma.f64 (.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 z z) (.f64 z (+.f64 z z))) (.f64 z z))
(fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 z (+.f64 z z)))
(fma.f64 (.f64 z (+.f64 z z)) (.f64 z (+.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 z z)) (.f64 z (+.f64 z z)))
(fma.f64 #s(literal 4 binary64) (.f64 z (.f64 z (.f64 z z))) (.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 z (+.f64 z z)))
(fma.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z z) #s(literal 0 binary64))) (.f64 z z))
(fma.f64 (.f64 z (.f64 z z)) (pow.f64 (+.f64 z z) #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 z z))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 z (+.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 z)) z (*.f64 z (+.f64 z z)))
(fma.f64 (pow.f64 (.f64 z (+.f64 z z)) #s(literal 3/2 binary64)) (pow.f64 (.f64 z (+.f64 z z)) #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 (.f64 (.f64 z (+.f64 z z)) z) (+.f64 z z) (*.f64 z z))
(fma.f64 (.f64 (.f64 z (+.f64 z z)) #s(literal 2 binary64)) (.f64 z z) (.f64 z z))
(/.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 z (+.f64 z z))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 z (+.f64 z z)) (.f64 (.f64 z z) (*.f64 z (+.f64 z z))))))
(/.f64 (fma.f64 z (+.f64 z z) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z (+.f64 z z) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (+.f64 z z)) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z z))) (-.f64 (.f64 z z) (.f64 z (+.f64 z z))))
(/.f64 (-.f64 (.f64 z (+.f64 z z)) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z z #s(literal 0 binary64)))
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z (+.f64 z (+.f64 z z)))
(*.f64 z (+.f64 (+.f64 z z) z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)

eval54.0ms (0.6%)

Memory: 15.6MiB live, 94.9MiB allocated
Compiler: Compiled 7 354 to 609 computations (91.7% saved)

prune49.0ms (0.6%)

Memory

19.2MiB live, 92.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	474	1	475
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	475	10	485

Accuracy

100.0%

Counts

485 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
✓	78.3%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 x y)))
✓	99.5%	(fma.f64 y x (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	78.9%	(fma.f64 y x (*.f64 z z))
✓	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
	49.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x #s(approx (+ ( 3 (/ (* z z) x)) y) (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) x))))
✓	50.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
✓	36.0%	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Compiler

Compiled 296 to 101 computations (65.9% saved)

regimes67.0ms (0.8%)

Memory

-30.1MiB live, 66.1MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#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 y x (*.f64 z z))
(+.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 #s(literal 3 binary64)) z))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x #s(approx (+ ( 3 (/ (* z z) x)) y) (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) x))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) x) y)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) (.f64 z (.f64 z (.f64 z z))))))

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

Calls

6 calls:

35.0ms	y
10.0ms	(*.f64 z z)
6.0ms	x
5.0ms	z
5.0ms	(*.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)

regimes30.0ms (0.3%)

Memory

11.9MiB live, 48.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

regimes23.0ms (0.3%)

Memory

7.9MiB live, 46.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
99.5%	2	`z`
99.5%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	2	`(*.f64 x y)`
99.5%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes24.0ms (0.3%)

Memory

-30.6MiB live, 53.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

6.0ms	x
4.0ms	(*.f64 z z)
3.0ms	y
3.0ms	(*.f64 x y)
3.0ms	z

Results

Accuracy	Segments	Branch
83.3%	3	`x`
85.1%	3	`y`
87.6%	2	`z`
86.8%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
87.6%	3	`(*.f64 x y)`
87.6%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.5%	2	`z`
87.5%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-19.4MiB live, 19.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.3%	2	`z`
87.3%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.4%	2	`z`
86.4%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

#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))

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

2 calls:

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

Results

Accuracy	Segments	Branch
86.4%	2	`z`
86.4%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Memory

-9.0MiB live, 29.8MiB allocated

Counts

2 → 2

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
50.8%	1	`x`
56.1%	3	`y`
69.4%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
56.3%	3	`(*.f64 x y)`
75.5%	2	`z`
75.5%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes9.0ms (0.1%)

Memory

-15.6MiB live, 23.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	y
1.0ms	(*.f64 x y)
1.0ms	x
1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
36.0%	1	`x`
36.0%	1	`y`
36.0%	1	`(*.f64 x y)`
36.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
36.0%	1	`z`
36.0%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7321814309152094e+273	7.226406643712428e+291

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	1.2970650756531948e+44	3.5477543143836837e+44

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	1.2970650756531948e+44	3.5477543143836837e+44

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	1.2970650756531948e+44	3.5477543143836837e+44

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	1.2970650756531948e+44	3.5477543143836837e+44

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2970650756531948e+44	3.5477543143836837e+44

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch19.0ms (0.2%)

Memory

-6.4MiB live, 33.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.7321814309152094e+273	7.226406643712428e+291

Samples

10.0ms	146×	0	valid
1.0ms	4×	4	valid
1.0ms	5×	2	valid
1.0ms	3×	3	valid
0.0ms	2×	1	valid

Compiler

Compiled 157 to 104 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 7.0ms (80.2% of total)

adjust: 1.0ms (11.5% of total)

ival-mult: 1.0ms (11.5% of total)

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

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

simplify8.0ms (0.1%)

Memory

20.3MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	307
1	48	307

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 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 200000000000000017642722810612845281403731968 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 200000000000000017642722810612845281403731968 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 z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000017642722810612845281403731968 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000017642722810612845281403731968 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 z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000017642722810612845281403731968 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 64999999999999999694399480322154366845173599687102736930299817802057242970641954564921575634851991010468754261175291600775385385216774374699941671194454314950449469283123717015456494801245802013004975213478082451486554054543429771504755427333792614035842425736312663738155008 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 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 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 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 200000000000000017642722810612845281403731968 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 200000000000000017642722810612845281403731968 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 z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000017642722810612845281403731968 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000017642722810612845281403731968 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 z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000017642722810612845281403731968 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 200000000000000017642722810612845281403731968 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)))))
(if (<=.f64 (.f64 z z) #s(literal 64999999999999999694399480322154366845173599687102736930299817802057242970641954564921575634851991010468754261175291600775385385216774374699941671194454314950449469283123717015456494801245802013004975213478082451486554054543429771504755427333792614035842425736312663738155008 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
#s(approx (+ (* y x) (* z z)) (*.f64 z z))

soundness1.4s (15.7%)

Memory

11.5MiB live, 730.7MiB allocated

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
10 376×	`lower-fma.f32`
10 366×	`lower-fma.f64`
8 632×	`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	22	111
0	35	106
1	140	100
0	1065	97
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	495	6022
1	1787	5729
2	7859	5727
0	8345	5431
0	71	2060
1	248	2060
2	752	2060
3	2150	2060
4	5629	2060
0	8219	1871
0	31	215
0	53	200
1	250	152
2	2680	122
0	8744	116

Stop Event

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

Compiler

Compiled 657 to 236 computations (64.1% saved)

preprocess115.0ms (1.3%)

Memory

5.4MiB live, 194.6MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 482 to 148 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample631.0ms (7.1%)

explain207.0ms (2.3%)

preprocess97.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize48.0ms (0.5%)

series12.0ms (0.1%)

simplify233.0ms (2.6%)

rewrite811.0ms (9.1%)

eval54.0ms (0.6%)

prune263.0ms (3%)

simplify506.0ms (5.7%)

localize173.0ms (1.9%)

series43.0ms (0.5%)

simplify347.0ms (3.9%)

rewrite601.0ms (6.8%)

eval639.0ms (7.2%)

prune666.0ms (7.5%)

simplify10.0ms (0.1%)

localize69.0ms (0.8%)

series13.0ms (0.1%)

simplify235.0ms (2.7%)

rewrite93.0ms (1%)

eval178.0ms (2%)

prune99.0ms (1.1%)

simplify318.0ms (3.6%)

localize112.0ms (1.3%)

series37.0ms (0.4%)

simplify183.0ms (2.1%)

rewrite360.0ms (4.1%)

eval54.0ms (0.6%)

prune49.0ms (0.6%)

regimes67.0ms (0.8%)

regimes30.0ms (0.3%)

regimes23.0ms (0.3%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

simplify8.0ms (0.1%)

soundness1.4s (15.7%)

preprocess115.0ms (1.3%)

end0.0ms (0%)

Profiling