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)

sample1.3s (19.7%)

Memory

-161.9MiB live, 1 239.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-mult: 171.0ms (58.2% of total)

ival-add: 114.0ms (38.8% of total)

ival-true: 6.0ms (2% of total)

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

Bogosity

explain108.0ms (1.6%)

Memory

-5.1MiB live, 229.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.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	5	0
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	62
`+.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	24
↳	`(*.f64 z z)`	overflow	124
↳	`(*.f64 z z)`	overflow	62
`+.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	24
↳	`(*.f64 z z)`	overflow	62
↳	`(*.f64 z z)`	overflow	62

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	3
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 106 to 28 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (52.6% of total)

ival-add: 6.0ms (39.5% of total)

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

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

preprocess121.0ms (1.8%)

Memory

22.2MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 18 to 8 computations (55.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify6.0ms (0.1%)

Memory

12.7MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize199.0ms (3%)

Memory

-32.0MiB live, 45.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.5078083716604116	(+.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	1.1015583716604118	(+.f64 (.f64 x y) (.f64 z z))

Samples

14.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (44.3% of total)

ival-mult: 3.0ms (44.3% of total)

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

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

series8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify510.0ms (7.6%)

Memory

-24.8MiB live, 385.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite530.0ms (8%)

Memory

29.2MiB live, 628.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 324

Calls

Call 1

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

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

eval53.0ms (0.8%)

Memory: 1.2MiB live, 112.0MiB allocated
Compiler: Compiled 16 484 to 1 000 computations (93.9% saved)

prune64.0ms (1%)

Memory

7.8MiB live, 127.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	450	6	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	6	457

Accuracy

100.0%

Counts

457 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
▶	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	98.0%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
▶	74.8%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
▶	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	50.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 124 to 74 computations (40.3% saved)

simplify10.0ms (0.2%)

Memory

-25.1MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

60×	`lower-fma.f32`
56×	`lower-fma.f64`
40×	`lower-+.f32`
38×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	136
0	28	136
1	42	128
2	54	118
3	63	118
4	68	118
0	68	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.2%)

Memory

-1.6MiB live, 93.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	1.1523396216604118	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.5585896216604116	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (.f64 z z))
accuracy	31.923875323786767	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.109375	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	27.68293480068546	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 x y)
accuracy	31.928670614147606	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.109375	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.49999449521112044	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Samples

27.0ms

256×

valid

Compiler

Compiled 122 to 16 computations (86.9% saved)

Precisions

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

ival-mult: 8.0ms (59.1% of total)

ival-add: 5.0ms (36.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

10 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

simplify213.0ms (3.2%)

Memory

12.9MiB live, 355.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 114×	`lower-fma.f64`
7 114×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
788×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1896
1	237	1896
2	734	1896
3	2260	1896
4	6172	1896
0	8116	1734

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

rewrite576.0ms (8.6%)

Memory

-20.2MiB live, 688.0MiB allocated

Rules

12 886×	`lower-fma.f32`
12 882×	`lower-fma.f64`
5 070×	`lower-*.f32`
5 062×	`lower-*.f64`
3 296×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
0	28	106
1	111	98
2	911	84
0	8761	81

Stop Event

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

Counts

10 → 415

Calls

Call 1

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

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

eval199.0ms (3%)

Memory: 11.8MiB live, 192.6MiB allocated
Compiler: Compiled 18 807 to 669 computations (96.4% saved)

prune78.0ms (1.2%)

Memory

-20.8MiB live, 138.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	794	3	797
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	797	6	803

Accuracy

100.0%

Counts

803 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.6%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	56.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	50.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 58 to 34 computations (41.4% saved)

simplify7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

60×	`lower-fma.f32`
56×	`lower-fma.f64`
40×	`lower-+.f32`
38×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	109
0	27	103
1	44	87
2	59	87
3	63	87
0	63	83

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.7%)

Memory

-5.5MiB live, 110.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.015625	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
accuracy	31.923875323786767	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.03125	(fma.f64 (+.f64 z z) z (*.f64 z z))
accuracy	27.68293480068546	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.1328125	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	27.68293480068546	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

30.0ms

256×

valid

Compiler

Compiled 90 to 18 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 12.0ms (63.8% of total)

ival-add: 6.0ms (31.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-18.6MiB live, 23.3MiB allocated

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify421.0ms (6.3%)

Memory

5.0MiB live, 332.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 830×	`lower-fma.f64`
7 830×	`lower-fma.f32`
3 178×	`lower-*.f64`
3 178×	`lower-*.f32`
2 104×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1736
1	185	1412
2	562	1412
3	1698	1412
4	5343	1412
0	8919	1304

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite174.0ms (2.6%)

Memory

24.3MiB live, 100.4MiB allocated

Rules

792×	`lower-fma.f32`
788×	`lower-fma.f64`
434×	`lower-*.f32`
426×	`lower-*.f64`
334×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	103
0	27	97
1	104	77
0	892	73

Stop Event

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

Counts

10 → 123

Calls

Call 1

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

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

eval43.0ms (0.6%)

Memory: -21.1MiB live, 58.7MiB allocated
Compiler: Compiled 4 051 to 206 computations (94.9% saved)

prune56.0ms (0.8%)

Memory

2.5MiB live, 41.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	350	7	357

Accuracy

100.0%

Counts

357 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.6%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
▶	29.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	56.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	50.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 68 to 39 computations (42.6% saved)

simplify9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

154×	`lower-fma.f32`
152×	`lower-fma.f64`
78×	`lower-*.f64`
78×	`lower-*.f32`
60×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	13	32
1	25	28
2	44	24
3	61	24
4	72	24
5	75	24
6	102	24
7	102	24
0	102	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

-22.2MiB live, 52.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z z (+.f64 z z))
accuracy	0	(+.f64 z z)
accuracy	45.00584329491904	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))

Samples

18.0ms

256×

valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 7.0ms (61.6% of total)

ival-mult: 4.0ms (35.2% of total)

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

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

series2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

#s(alt (fma.f64 z z (+.f64 z z)) (patch (fma.f64 z z (+.f64 z z)) #<representation binary64>) () ())

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

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

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

Calls

15 calls:

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

simplify271.0ms (4.1%)

Memory

-7.4MiB live, 392.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 204×	`lower-fma.f64`
8 204×	`lower-fma.f32`
3 474×	`lower-*.f64`
3 474×	`lower-*.f32`
1 788×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	476
1	150	368
2	438	368
3	1513	368
4	5024	368
5	7629	368
0	8415	341

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite64.0ms (1%)

Memory

4.6MiB live, 120.9MiB allocated

Rules

728×	`lower-fma.f32`
726×	`lower-fma.f64`
396×	`lower-*.f64`
396×	`lower-*.f32`
304×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	13	31
1	76	27
0	797	25

Stop Event

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

Counts

3 → 65

Calls

Call 1

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

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

eval12.0ms (0.2%)

Memory: 33.4MiB live, 33.4MiB allocated
Compiler: Compiled 1 439 to 169 computations (88.3% saved)

prune18.0ms (0.3%)

Memory

-32.8MiB live, 45.5MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	123	9	132

Accuracy

100.0%

Counts

132 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.6%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
	29.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+.f64 (fma.f64 z z z) z))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	56.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	29.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
✓	50.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
	34.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))

Compiler

Compiled 194 to 76 computations (60.8% saved)

regimes29.0ms (0.4%)

Memory

34.6MiB live, 73.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	x
5.0ms	z
5.0ms	y
4.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes27.0ms (0.4%)

Memory

-4.7MiB live, 74.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.0%	1	`(*.f64 x y)`
98.0%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes26.0ms (0.4%)

Memory

-6.2MiB live, 68.3MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs
(fma.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 z) z (*.f64 z z)))

Calls

6 calls:

6.0ms	y
5.0ms	(*.f64 z z)
4.0ms	x
4.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
80.0%	3	`x`
80.2%	3	`y`
89.8%	2	`z`
83.5%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
84.7%	3	`(*.f64 x y)`
89.8%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes11.0ms (0.2%)

Memory

-18.8MiB live, 22.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.7%	2	`z`
89.7%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.8%	2	`z`
88.8%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.8%	2	`z`
88.8%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.2%)

Memory

1.1MiB live, 39.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(*.f64 z z)
2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
50.1%	1	`x`
54.4%	3	`y`
69.1%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
56.7%	3	`(*.f64 x y)`
73.6%	2	`z`
73.6%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes9.0ms (0.1%)

Memory

-9.2MiB live, 29.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
34.1%	1	`x`
34.1%	1	`y`
34.1%	1	`(*.f64 x y)`
34.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
34.1%	1	`z`
34.1%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	111747510.05013284	3925312936150.7993

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	111747510.05013284	3925312936150.7993

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	111747510.05013284	3925312936150.7993

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	111747510.05013284	3925312936150.7993

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5246742049423266e+181	4.2626871813058845e+184

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify11.0ms (0.2%)

Memory

-11.6MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	280
1	43	280

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) (fma.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 z) z (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* 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))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 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 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))

Outputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) (fma.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 z) z (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* 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))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 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 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000 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 200000000 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 z (.f64 #s(literal 3 binary64) z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))

soundness1.2s (17.5%)

Memory

2.6MiB live, 651.6MiB allocated

Rules

12 886×	`lower-fma.f32`
12 882×	`lower-fma.f64`
10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 428×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763
0	19	103
0	27	97
1	104	77
0	892	73
0	47	476
1	150	368
2	438	368
3	1513	368
4	5024	368
5	7629	368
0	8415	341
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	19	106
0	28	106
1	111	98
2	911	84
0	8761	81

Stop Event

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

Compiler

Compiled 346 to 160 computations (53.8% saved)

preprocess107.0ms (1.6%)

Memory

-28.3MiB live, 185.5MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 372 to 134 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (19.7%)

explain108.0ms (1.6%)

preprocess121.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize199.0ms (3%)

series8.0ms (0.1%)

simplify510.0ms (7.6%)

rewrite530.0ms (8%)

eval53.0ms (0.8%)

prune64.0ms (1%)

simplify10.0ms (0.2%)

localize77.0ms (1.2%)

series10.0ms (0.2%)

simplify213.0ms (3.2%)

rewrite576.0ms (8.6%)

eval199.0ms (3%)

prune78.0ms (1.2%)

simplify7.0ms (0.1%)

localize45.0ms (0.7%)

series12.0ms (0.2%)

simplify421.0ms (6.3%)

rewrite174.0ms (2.6%)

eval43.0ms (0.6%)

prune56.0ms (0.8%)

simplify9.0ms (0.1%)

localize40.0ms (0.6%)

series2.0ms (0%)

simplify271.0ms (4.1%)

rewrite64.0ms (1%)

eval12.0ms (0.2%)

prune18.0ms (0.3%)

regimes29.0ms (0.4%)

regimes27.0ms (0.4%)

regimes26.0ms (0.4%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness1.2s (17.5%)

preprocess107.0ms (1.6%)

end0.0ms (0%)

Profiling