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

0.6MiB live, 0.6MiB 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)

sample977.0ms (15.6%)

Memory

20.0MiB live, 910.8MiB allocated

Samples

572.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 386.0ms

ival-add: 245.0ms (63.4% of total)

ival-mult: 133.0ms (34.4% of total)

ival-true: 6.0ms (1.6% of total)

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

Bogosity

explain179.0ms (2.9%)

Memory

21.5MiB live, 152.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.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	3	0
↳	`(*.f64 x y)`	overflow	27
↳	`(*.f64 z z)`	overflow	60
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	80
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	80
↳	`(*.f64 x y)`	overflow	27
↳	`(*.f64 z z)`	overflow	120
↳	`(*.f64 z z)`	overflow	60
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	80
↳	`(*.f64 x y)`	overflow	27
↳	`(*.f64 z z)`	overflow	60
↳	`(*.f64 z z)`	overflow	60

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	1
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 106 to 28 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.5% of total)

ival-add: 6.0ms (43.3% of total)

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

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

preprocess187.0ms (3%)

Memory

-13.2MiB live, 60.0MiB 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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 18 to 8 computations (55.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(+.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

4.6MiB live, 4.6MiB 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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 y x))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize63.0ms (1%)

Memory

-7.2MiB live, 31.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.5117146216604116	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5585896216604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.7070271216604117	(+.f64 (.f64 x y) (.f64 z z))

Samples

57.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 47.0ms (93.7% of total)

ival-add: 3.0ms (6% of total)

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

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

series9.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB 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 (* 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 (* 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 (* 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 (* 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 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 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 (* 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 -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 -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 (+ (* 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 (* 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 (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 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 (+.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 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 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 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 (+.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 -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 -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 -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 (+ (* 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 (* 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 (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 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 (+.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 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 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 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 (+.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 (* 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 (* 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 (* 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>) () ())) ())

Calls

9 calls:

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

simplify132.0ms (2.1%)

Memory

-8.4MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 096×	`lower-fma.f64`
8 096×	`lower-fma.f32`
3 860×	`lower-*.f64`
3 860×	`lower-*.f32`
940×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite351.0ms (5.6%)

Memory

-12.2MiB live, 201.8MiB 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 (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 z z))))) (fma.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (*.f64 z z))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x))) (fma.f64 (+.f64 z z) z (.f64 y x))) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)))) (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (.f64 z z)) (neg.f64 (fma.f64 z z (.f64 y x)))) (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z))))) (fma.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (-.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)))) (.f64 (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x))) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (*.f64 y x))))))
(.f64 (/.f64 (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 z z))))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (neg.f64 (fma.f64 z z (.f64 y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 y x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z))) (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
(.f64 (fma.f64 (.f64 (fma.f64 z z (.f64 y x)) (fma.f64 z z (.f64 y x))) (fma.f64 z z (.f64 y x)) (.f64 (+.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z (.f64 y x)) (fma.f64 z z (.f64 y x)) (-.f64 (.f64 (+.f64 z z) z) (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (+.f64 z z))))))
(.f64 (neg.f64 (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) z (.f64 y x))) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 z z (*.f64 y x))))
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(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 z z (.f64 y x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x))) (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y x)))) (neg.f64 (-.f64 (.f64 z z) (.f64 y x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 z z (.f64 y x))) (fma.f64 (neg.f64 z) z (.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (-.f64 (.f64 z z) (.f64 y x)) (*.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (.f64 (.f64 (.f64 z z) z) z))) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 z z) z) z)) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 z z (.f64 y x)))) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 z z) z) z))))
(/.f64 (.f64 (fma.f64 z z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y x))) (-.f64 (.f64 z z) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (-.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) (.f64 (.f64 y y) x)) x (.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (*.f64 z z) z) z))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (-.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (-.f64 (.f64 z z) (.f64 y x)) (.f64 z z))) (-.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 z z) z)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x))) (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)))) (.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (-.f64 (.f64 z z) (.f64 y x)) (.f64 z z))) (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (-.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x))) (.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x))))))
(/.f64 (.f64 (neg.f64 (fma.f64 z z (.f64 y x))) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 y x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (-.f64 (.f64 z z) (.f64 y x)) (*.f64 z z)))))
(/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 z z (.f64 y x))) (fma.f64 (neg.f64 z) z (.f64 y x)))
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(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y x))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (-.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 z z (.f64 y x)))) (fma.f64 z z (.f64 y x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (.f64 (.f64 (.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 z z (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 y x (*.f64 z z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 x y (*.f64 z z))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (-.f64 (.f64 z z) (.f64 y x))) (/.f64 (.f64 (.f64 (.f64 x x) y) y) (-.f64 (.f64 z z) (.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(+.f64 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 z z))
(*.f64 y x)
(*.f64 x y)

eval101.0ms (1.6%)

Memory: 28.0MiB live, 100.5MiB allocated
Compiler: Compiled 16 476 to 1 013 computations (93.9% saved)

prune82.0ms (1.3%)

Memory

-36.9MiB live, 113.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	78.7%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
▶	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
▶	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 150 to 88 computations (41.3% saved)

simplify7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	166
0	35	164
1	59	153
2	69	138
3	76	138
4	78	138
0	78	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1.7%)

Memory

-22.6MiB live, 99.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
accuracy	0.2890597476055602	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.5585896216604116	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
accuracy	28.177980003163206	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.16015625	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	30.620936432805344	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 y x)
accuracy	28.18130951915211	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.015625	(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
accuracy	0.2539034976055602	(fma.f64 z z (*.f64 y x))

Samples

91.0ms

256×

valid

Compiler

Compiled 145 to 20 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 70.0ms (89.9% of total)

ival-add: 7.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.7%)

Memory

-2.4MiB live, 33.3MiB allocated

Counts

13 → 360

Calls

Call 1

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

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

Calls

9 calls:

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

simplify125.0ms (2%)

Memory

27.7MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2402
1	304	2402
2	918	2402
3	2516	2402
4	6218	2402
0	8498	2186

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

rewrite405.0ms (6.5%)

Memory

-35.1MiB live, 301.4MiB allocated

Rules

5 620×	`lower-fma.f32`
5 614×	`lower-fma.f64`
4 448×	`lower-/.f64`
4 448×	`lower-/.f32`
3 886×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	140
0	35	135
1	151	116
2	1235	116
0	8489	109

Stop Event

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

Counts

13 → 423

Calls

Call 1

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

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

eval289.0ms (4.6%)

Memory: 6.7MiB live, 155.2MiB allocated
Compiler: Compiled 22 126 to 1 234 computations (94.4% saved)

prune119.0ms (1.9%)

Memory

33.2MiB live, 156.0MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	874	5	879
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	878	8	886

Accuracy

100.0%

Counts

886 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
▶	80.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
▶	79.5%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
▶	69.8%	(fma.f64 y x (fma.f64 z z (+.f64 z z)))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 138 to 75 computations (45.7% saved)

simplify11.0ms (0.2%)

Memory

-12.5MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

292×	`lower-fma.f32`
282×	`lower-fma.f64`
132×	`lower-+.f32`
130×	`lower-+.f64`
78×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	161
0	38	161
1	65	153
2	101	149
3	142	149
4	153	149
5	153	149
6	183	149
7	183	149
0	183	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 x y)))
(+.f64 z z)
z
#s(approx (+ (* z z) (* y x)) (*.f64 y x))
#s(approx (+ (* z z) (* y x)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#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 #s(literal 3 binary64) z) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 z z)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 y x (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 #s(literal 2 binary64) z) z (*.f64 x y))
y
x
(fma.f64 z z (+.f64 z z))
(*.f64 (+.f64 #s(literal 2 binary64) z) z)
z
(+.f64 z z)

localize55.0ms (0.9%)

Memory

-26.5MiB live, 96.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z z (+.f64 z z))
accuracy	0	(+.f64 z z)
accuracy	0.49999449521112044	(fma.f64 y x (fma.f64 z z (+.f64 z z)))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.015625	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	30.649318092422714	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0	(*.f64 x y)
accuracy	0.01953125	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy	28.177980003163206	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.09375	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	30.620936432805344	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.015625	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
accuracy	28.17232428719209	#s(approx (+ (* z z) (* y x)) (*.f64 y x))

Samples

34.0ms

256×

valid

Compiler

Compiled 139 to 21 computations (84.9% saved)

Precisions

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

ival-add: 10.0ms (48.5% of total)

ival-mult: 10.0ms (48.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

36.9MiB live, 36.9MiB allocated

Counts

15 → 396

Calls

Call 1

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

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

Calls

9 calls:

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

simplify360.0ms (5.8%)

Memory

-25.7MiB live, 138.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 590×	`lower-fma.f64`
10 590×	`lower-fma.f32`
3 904×	`lower-*.f64`
3 904×	`lower-*.f32`
1 332×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	2452
1	388	2452
2	1169	2452
3	3245	2452
4	7504	2452
0	8074	2238

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite87.0ms (1.4%)

Memory

18.5MiB live, 126.4MiB allocated

Rules

2 366×	`lower-fma.f32`
2 356×	`lower-fma.f64`
764×	`lower-*.f32`
754×	`lower-*.f64`
610×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	143
0	38	143
1	171	124
0	1722	116

Stop Event

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

Counts

15 → 286

Calls

Call 1

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

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

eval162.0ms (2.6%)

Memory: 7.6MiB live, 240.1MiB allocated
Compiler: Compiled 11 592 to 826 computations (92.9% saved)

prune120.0ms (1.9%)

Memory

15.7MiB live, 173.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	841	3	844
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	843	9	852

Accuracy

100.0%

Counts

852 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	80.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
▶	79.1%	(fma.f64 y x #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
▶	28.3%	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 (-.f64 z #s(literal -2 binary64)) z))
▶	32.8%	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 z z))

Compiler

Compiled 87 to 50 computations (42.5% saved)

simplify70.0ms (1.1%)

Memory

-24.6MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

150×	`lower-fma.f32`
148×	`lower-fma.f64`
78×	`lower-+.f64`
78×	`lower-+.f32`
46×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	20	77
1	33	69
2	57	69
3	80	69
4	88	69
5	88	69
6	106	69
7	106	69
0	106	67

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

21.6MiB live, 59.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.49999449521112044	(fma.f64 y x #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
accuracy	31.984148894707413	#s(approx (+ (* z z) (+ z z)) (*.f64 z z))
accuracy	0	(-.f64 z #s(literal -2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 z #s(literal -2 binary64)) z)
accuracy	28.015392617147167	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 (-.f64 z #s(literal -2 binary64)) z))
accuracy	0	(*.f64 z z)
accuracy	37.47276419708469	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 z z))

Samples

21.0ms

256×

valid

Compiler

Compiled 62 to 13 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (57% of total)

ival-add: 3.0ms (24.4% of total)

ival-sub: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-36.3MiB live, 24.7MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

9 calls:

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

simplify151.0ms (2.4%)

Memory

4.0MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 922×	`lower-fma.f64`
8 922×	`lower-fma.f32`
3 328×	`lower-*.f64`
3 328×	`lower-*.f32`
2 052×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	966
1	182	966
2	511	966
3	1627	966
4	4563	966
5	7319	966
0	8167	891

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

Calls

Call 1

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

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

rewrite92.0ms (1.5%)

Memory

1.5MiB live, 40.4MiB allocated

Rules

714×	`lower-fma.f32`
712×	`lower-fma.f64`
376×	`lower-*.f32`
372×	`lower-*.f64`
292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
0	20	68
1	88	60
0	796	58

Stop Event

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

Counts

7 → 73

Calls

Call 1

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

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

eval21.0ms (0.3%)

Memory: 19.4MiB live, 19.4MiB allocated
Compiler: Compiled 2 541 to 197 computations (92.2% saved)

prune75.0ms (1.2%)

Memory

-22.5MiB live, 17.2MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	241	2	243
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	241	11	252

Accuracy

100.0%

Counts

252 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	80.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
✓	79.1%	(fma.f64 y x #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	52.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
	28.3%	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (fma.f64 (+.f64 z #s(literal 1 binary64)) z z))
✓	28.3%	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 (-.f64 z #s(literal -2 binary64)) z))
	5.3%	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 #s(approx (- z -2) #s(literal 2 binary64)) z))
✓	32.8%	#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 z z))

Compiler

Compiled 246 to 96 computations (61% saved)

regimes33.0ms (0.5%)

Memory

37.5MiB live, 37.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

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)

regimes75.0ms (1.2%)

Memory

-5.8MiB live, 35.5MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

6 calls:

48.0ms	(*.f64 z z)
5.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(*.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)

regimes148.0ms (2.4%)

Memory

-13.7MiB live, 61.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

76.0ms	y
54.0ms	(*.f64 z z)
4.0ms	x
4.0ms	(*.f64 x y)
4.0ms	z

Results

Accuracy	Segments	Branch
84.7%	3	`x`
80.0%	1	`y`
88.0%	2	`z`
86.0%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
87.0%	3	`(*.f64 x y)`
88.0%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes8.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.9%	2	`z`
87.9%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes81.0ms (1.3%)

Memory

-14.1MiB live, 24.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

77.0ms	(*.f64 z z)
4.0ms	z

Results

Accuracy	Segments	Branch
87.8%	2	`z`
87.8%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Memory

-23.2MiB live, 22.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

2 calls:

7.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.4%	2	`z`
87.4%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.3%)

Memory

4.2MiB live, 42.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	y
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	x
2.0ms	z
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
56.0%	1	`y`
59.7%	3	`x`
72.5%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
62.0%	3	`(*.f64 x y)`
75.8%	2	`z`
75.8%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes9.0ms (0.2%)

Memory

34.5MiB live, 34.5MiB allocated

Accuracy

Total -17.8b remaining (-41.4%)

Threshold costs -17.8b (-41.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
32.8%	1	`y`
32.8%	1	`x`
32.8%	1	`(*.f64 x y)`
32.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
32.8%	1	`z`
32.8%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch2.0ms (0%)

Memory

-37.5MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.56518349477526e-56	1.2683042748245805e-55

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.56518349477526e-56	1.2683042748245805e-55

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.56518349477526e-56	1.2683042748245805e-55

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.56518349477526e-56	1.2683042748245805e-55

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.25024240326299e+299	4.3408868313728604e+307

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify7.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	258
1	44	258

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 y x))) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 y x))) #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 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 y x #s(approx (+ ( z z) (+ z z)) (.f64 z z))) #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 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( y x) (+ (* z z) (+ z z))) (*.f64 z z)))
#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 z z))

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 x y)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 y x))) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 x y))) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 y x))) #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 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 y x #s(approx (+ ( z z) (+ z z)) (.f64 z z))) #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 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (fma.f64 y x #s(approx (+ ( z z) (+ z z)) (.f64 z z))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #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 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 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 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( y x) (+ (* z z) (+ z z))) (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( y x) (+ (* z z) (+ z z))) (*.f64 z z)))
#s(approx (+ (* y x) (+ (* z z) (+ z z))) (*.f64 z z))

soundness1.3s (20.3%)

Memory

-29.0MiB live, 652.0MiB allocated

Rules

10 590×	`lower-fma.f64`
10 590×	`lower-fma.f32`
10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 096×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	140
0	35	135
1	151	116
2	1235	116
0	8489	109
0	87	2402
1	304	2402
2	918	2402
3	2516	2402
4	6218	2402
0	8498	2186
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763
0	112	2452
1	388	2452
2	1169	2452
3	3245	2452
4	7504	2452
0	8074	2238
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

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×	node limit
1×	iter limit

Compiler

Compiled 646 to 226 computations (65% saved)

preprocess126.0ms (2%)

Memory

-7.8MiB live, 203.4MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 470 to 164 computations (65.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	161
0	38	161
1	65	153
2	101	149
3	142	149
4	153	149
5	153	149
6	183	149
7	183	149
0	183	142

Iter	Nodes	Cost
0	26	161
0	38	161
1	65	153
2	101	149
3	142	149
4	153	149
5	153	149
6	183	149
7	183	149
0	183	142

start0.0ms (0%)

analyze0.0ms (0%)

sample977.0ms (15.6%)

explain179.0ms (2.9%)

preprocess187.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize63.0ms (1%)

series9.0ms (0.1%)

simplify132.0ms (2.1%)

rewrite351.0ms (5.6%)

eval101.0ms (1.6%)

prune82.0ms (1.3%)

simplify7.0ms (0.1%)

localize104.0ms (1.7%)

series42.0ms (0.7%)

simplify125.0ms (2%)

rewrite405.0ms (6.5%)

eval289.0ms (4.6%)

prune119.0ms (1.9%)

simplify11.0ms (0.2%)

localize55.0ms (0.9%)

series18.0ms (0.3%)

simplify360.0ms (5.8%)

rewrite87.0ms (1.4%)

eval162.0ms (2.6%)

prune120.0ms (1.9%)

simplify70.0ms (1.1%)

localize29.0ms (0.5%)

series33.0ms (0.5%)

simplify151.0ms (2.4%)

rewrite92.0ms (1.5%)

eval21.0ms (0.3%)

prune75.0ms (1.2%)

regimes33.0ms (0.5%)

regimes75.0ms (1.2%)

regimes148.0ms (2.4%)

regimes8.0ms (0.1%)

regimes81.0ms (1.3%)

regimes10.0ms (0.2%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.3s (20.3%)

preprocess126.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	161
0	38	161
1	65	153
2	101	149
3	142	149
4	153	149
5	153	149
6	183	149
7	183	149
0	183	142