Metrics for Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze74.0ms (0.9%)

Memory

-6.1MiB live, 128.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (11.6%)

Memory

23.1MiB live, 1 181.6MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-div: 167.0ms (45.4% of total)

ival-mult: 146.0ms (39.7% of total)

ival-add: 40.0ms (10.9% of total)

ival-true: 7.0ms (1.9% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

explain140.0ms (1.6%)

Memory

-25.8MiB live, 188.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
16	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`z`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	20	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	16	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	63
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	64
↳	`(*.f64 z z)`	overflow	64

Confusion

	Predicted +	Predicted -
+	30	0
-	6	220

Precision

0.8333333333333334

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	30	0	0
-	6	0	220

Precision?

0.8333333333333334

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (40.4% of total)

ival-mult: 7.0ms (40.4% of total)

ival-add: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess332.0ms (3.8%)

Memory

4.5MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Rules

695×	`unsub-neg`
516×	`distribute-lft-in`
465×	`distribute-rgt-in`
297×	`div-sub`
275×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	102
1	129	99
2	339	99
3	1139	99
4	2665	99
5	4199	99
6	5059	99
7	5307	99
8	5419	99
9	5432	99
10	5933	99
11	6237	99
12	6270	99
13	6286	99
14	6290	99
15	6290	99
16	6290	99
17	6290	99
18	6350	99
19	6374	99
20	6374	99
21	6550	99
22	7118	99
23	7144	99
24	7148	99
25	7148	99
0	9	11
0	14	11
1	28	11
2	46	11
3	101	11
4	153	11
5	202	11
0	202	10

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 z z))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Rules

71×	`lower-*.f32`
69×	`lower-*.f64`
36×	`associate-r`
35×	`lower-fma.f64`
35×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	14	33
1	28	33
2	46	33
3	101	33
4	153	33
5	202	33
0	202	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.5%)

Memory

-21.3MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	1.2081949250979143	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	6.470161165855435	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

23.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (37.5% of total)

ival-mult: 3.0ms (37.5% of total)

ival-add: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify235.0ms (2.7%)

Memory

0.1MiB live, 359.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
1 867×	`lower-*.f64`
1 867×	`lower-*.f32`
1 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite259.0ms (3%)

Memory

29.2MiB live, 401.5MiB allocated

Rules

2 308×	`lower-/.f32`
2 306×	`lower-/.f64`
2 010×	`lower-*.f32`
2 008×	`lower-*.f64`
1 786×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26

Stop Event

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

Counts

5 → 437

Calls

Call 1

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

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

eval72.0ms (0.8%)

Memory: -6.2MiB live, 115.1MiB allocated
Compiler: Compiled 15 307 to 1 512 computations (90.1% saved)

prune124.0ms (1.4%)

Memory

-39.8MiB live, 224.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	516	16	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	517	16	533

Accuracy

99.1%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	89.9%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
▶	91.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
▶	24.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y))))
	45.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (-.f64 y (.f64 (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 (*.f64 z z) y)))))
▶	44.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	59.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	46.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z y) z)))
▶	87.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
	90.0%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	87.8%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
	42.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (-.f64 y (.f64 (.f64 z z) y)))) (-.f64 y (.f64 (*.f64 z z) y)))
	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	89.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x)))
	54.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
▶	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 558 to 302 computations (45.9% saved)

simplify210.0ms (2.4%)

Memory

21.9MiB live, 218.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (.f64 z z) y) y)
cost-diff	320	(fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (*.f64 y y))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y))))
cost-diff	4480	(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)))
cost-diff	0	#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff	0	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))

Rules

7 098×	`lower-fma.f32`
7 096×	`lower-fma.f64`
2 492×	`lower-+.f64`
2 492×	`lower-+.f32`
1 877×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	290
0	52	218
1	100	218
2	226	216
3	853	216
4	5065	216
0	8126	211

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1.3%)

Memory

6.4MiB live, 119.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.2081949250979143	(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
accuracy	6.470161165855435	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y))))
accuracy	6.514806589330032	(.f64 (.f64 z z) y)
accuracy	43.38052510660154	(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)))
accuracy	0	(*.f64 z z)
accuracy	1.2081949250979143	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
accuracy	6.470161165855435	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
accuracy	32.19140884496277	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
accuracy	1.2081949250979143	(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
accuracy	5.854360069658919	(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
accuracy	0	(*.f64 y x)
accuracy	0.27121270527994346	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	25.580141757036518	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	1.1121524956517088	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
accuracy	7.0109925909032	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

50.0ms

256×

valid

Compiler

Compiled 292 to 28 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45.7% of total)

ival-div: 12.0ms (39.2% of total)

ival-add: 3.0ms (9.8% of total)

ival-sub: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series178.0ms (2.1%)

Memory

-19.0MiB live, 27.6MiB allocated

Counts

20 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
148.0ms	z	@	-inf	(* y (+ 1 (* z z)))
2.0ms	x	@	0	(/ 1 (* y x))
1.0ms	y	@	0	(+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))
1.0ms	y	@	-inf	(+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))
1.0ms	y	@	inf	(+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))

simplify297.0ms (3.4%)

Memory

7.4MiB live, 325.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 657×	`lower-fma.f64`
7 657×	`lower-fma.f32`
2 368×	`lower-*.f64`
2 368×	`lower-*.f32`
1 264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	4726
1	293	4639
2	818	4557
3	3264	4469
4	7287	4469
0	8111	4174

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 488

Calls

Call 1

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

rewrite336.0ms (3.9%)

Memory

-3.7MiB live, 596.2MiB allocated

Rules

2 537×	`lower-fma.f32`
2 535×	`lower-fma.f64`
2 390×	`lower-*.f32`
2 381×	`lower-*.f64`
2 269×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	225
0	52	153
1	209	153
2	1439	153
0	8752	153

Stop Event

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

Counts

20 → 1 688

Calls

Call 1

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

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

eval646.0ms (7.5%)

Memory: 25.3MiB live, 712.4MiB allocated
Compiler: Compiled 125 448 to 4 998 computations (96% saved)

prune653.0ms (7.5%)

Memory

0.4MiB live, 763.8MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	2 888	13	2 901
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	2 899	18	2 917

Accuracy

99.1%

Counts

2 917 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(approx (+ 1 ( z z)) (*.f64 z z)))
	48.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x))
	28.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(approx (+ ( (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (*.f64 y y))))
▶	46.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z)))
	29.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (.f64 z z) y) (.f64 y y)) (.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (.f64 z z) y) (*.f64 y y))) x)))
	89.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
▶	90.0%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
▶	45.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z (neg.f64 y)))) x))
	49.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 x y)))
	46.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* z z) 1) y) (.f64 (.f64 z y) z)) x))
▶	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y)))
	87.8%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
	42.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (-.f64 y (.f64 (.f64 z z) y)))) (-.f64 y (.f64 (*.f64 z z) y)))
	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	59.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
▶	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	54.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
✓	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 623 to 328 computations (47.4% saved)

simplify175.0ms (2%)

Memory

38.8MiB live, 261.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z (neg.f64 y)))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z (neg.f64 y)))) x))
cost-diff	128	(fma.f64 (*.f64 z y) z (neg.f64 y))
cost-diff	2752	(.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z (neg.f64 y))))
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	#s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z)))
cost-diff	0	(.f64 (.f64 z z) x)
cost-diff	0	(.f64 (.f64 (*.f64 z z) x) y)
cost-diff	0	#s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))

Rules

5 664×	`lower-fma.f32`
5 662×	`lower-fma.f64`
1 821×	`lower-/.f32`
1 815×	`lower-/.f64`
1 614×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	352
0	66	333
1	134	329
2	329	225
3	1393	225
4	4000	225
0	8211	222

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.6%)

Memory

-72.7MiB live, 242.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z (neg.f64 y)))) x))
accuracy	1.2081949250979143	(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
accuracy	5.854360069658919	(.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z (neg.f64 y)))) x)
accuracy	35.49686298979646	(.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z (neg.f64 y))))
accuracy	0	(*.f64 z y)
accuracy	0.109375	(.f64 (.f64 z y) z)
accuracy	6.470161165855435	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z)))
accuracy	32.22416303348116	#s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z))
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y)))
accuracy	5.878290556757442	(.f64 (.f64 (*.f64 z z) x) y)
accuracy	8.311382786890418	(.f64 (.f64 z z) x)
accuracy	28.2768183704836	#s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.24609375	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	25.580141757036518	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
accuracy	5.713762897481266	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y))

Samples

66.0ms

256×

valid

Compiler

Compiled 342 to 38 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 24.0ms (52% of total)

ival-div: 15.0ms (32.5% of total)

ival-add: 5.0ms (10.8% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

37.5MiB live, 76.2MiB allocated

Counts

20 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/ 1 (* (+ (* z z) 1) (* x y)))
1.0ms	x	@	0	(* (* (* z z) x) y)
0.0ms	y	@	inf	(* (* (* z z) x) y)
0.0ms	z	@	inf	(* (* (* z z) x) y)
0.0ms	x	@	inf	(* (* (* z z) x) y)

simplify156.0ms (1.8%)

Memory

1.8MiB live, 239.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 496×	`lower-fma.f64`
4 496×	`lower-fma.f32`
2 071×	`lower-*.f64`
2 071×	`lower-*.f32`
1 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	5079
1	191	5069
2	537	5029
3	2103	4949
4	4989	4949
0	8150	4622

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

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

rewrite85.0ms (1%)

Memory

5.6MiB live, 122.2MiB allocated

Rules

548×	`lower-*.f32`
537×	`lower-*.f64`
457×	`lower-fma.f32`
456×	`frac-2neg`
455×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	295
0	66	262
1	259	262
2	1799	262
0	66	272
1	259	240
0	1799	231

Stop Event

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

Counts

20 → 479

Calls

Call 1

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

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

eval145.0ms (1.7%)

Memory: -10.5MiB live, 219.6MiB allocated
Compiler: Compiled 22 873 to 1 473 computations (93.6% saved)

prune156.0ms (1.8%)

Memory

-1.5MiB live, 282.6MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 207	5	1 212
Fresh	5	7	12
Picked	1	4	5
Done	0	1	1
Total	1 213	17	1 230

Accuracy

99.4%

Counts

1 230 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) y) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (neg.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	48.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x))
	28.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(approx (+ ( (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (*.f64 y y))))
✓	46.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z)))
▶	89.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
✓	90.0%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
▶	63.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (* z y) z) (neg y)) (neg.f64 y)))) x))
✓	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y)))
▶	53.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 x z) z) y)))
	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 y z) (*.f64 x z))))
▶	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 z (.f64 z (*.f64 y x)))))
	87.8%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
	42.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (-.f64 y (.f64 (.f64 z z) y)))) (-.f64 y (.f64 (*.f64 z z) y)))
	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
▶	59.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 505 to 278 computations (45% saved)

simplify127.0ms (1.5%)

Memory

-21.0MiB live, 151.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (* z y) z) (neg y)) (neg.f64 y)))) x)
cost-diff	128	(fma.f64 (*.f64 z y) z (neg.f64 y))
cost-diff	320	(.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* z y) z) (neg y)) (neg.f64 y))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (* z y) z) (neg y)) (neg.f64 y)))) x))
cost-diff	0	(.f64 (.f64 x z) z)
cost-diff	0	(.f64 (.f64 (*.f64 x z) z) y)
cost-diff	0	#s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 x z) z) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 x z) z) y)))
cost-diff	0	(.f64 z (.f64 y x))
cost-diff	0	(.f64 z (.f64 z (*.f64 y x)))
cost-diff	0	#s(approx (* (* (+ (* z z) 1) y) x) (.f64 z (.f64 z (*.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 z (.f64 z (*.f64 y x)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) z y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))

Rules

2 911×	`lower-fma.f32`
2 908×	`lower-fma.f64`
2 001×	`lower-*.f32`
1 989×	`lower-*.f64`
745×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	314
0	66	313
1	121	307
2	257	305
3	928	305
4	3204	305
5	6420	301
0	8192	295

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.7%)

Memory

16.1MiB live, 130.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.2081949250979143	(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
accuracy	5.854360069658919	(.f64 (.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (* z y) z) (neg y)) (neg.f64 y)))) x)
accuracy	30.921536913963934	#s(approx (+ (* (* z y) z) (neg y)) (neg.f64 y))
accuracy	35.49686298979646	(.f64 (.f64 (fma.f64 (.f64 z y) z (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* z y) z) (neg y)) (neg.f64 y))))
accuracy	0.10546875	(.f64 (.f64 x z) z)
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 x z) z) y)))
accuracy	5.878290556757442	(.f64 (.f64 (*.f64 x z) z) y)
accuracy	28.2768183704836	#s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 x z) z) y))
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 z (.f64 z (*.f64 y x)))))
accuracy	1.130535568282056	(.f64 z (.f64 z (*.f64 y x)))
accuracy	4.714267578590086	(.f64 z (.f64 y x))
accuracy	28.2768183704836	#s(approx (* (* (+ (* z z) 1) y) x) (.f64 z (.f64 z (*.f64 y x))))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.20703125	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	25.580141757036518	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy	0	(*.f64 z y)
accuracy	0.02734375	(fma.f64 (*.f64 z y) z y)
accuracy	0.7011759763446159	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
accuracy	5.854360069658919	(.f64 (fma.f64 (.f64 z y) z y) x)

Samples

107.0ms

256×

valid

Compiler

Compiled 286 to 35 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 23.0ms (55.3% of total)

ival-div: 12.0ms (28.8% of total)

ival-add: 5.0ms (12% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.7%)

Memory

-3.2MiB live, 37.7MiB allocated

Counts

21 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ 1 (* (+ (* (* z y) z) y) x))
1.0ms	x	@	0	(/ 1 (* (+ (* (* z y) z) y) x))
0.0ms	x	@	0	(* z (* y x))
0.0ms	y	@	inf	(* z (* y x))
0.0ms	x	@	inf	(/ 1 (* (+ (* (* z y) z) y) x))

simplify191.0ms (2.2%)

Memory

12.3MiB live, 165.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 513×	`lower-fma.f64`
3 513×	`lower-fma.f32`
2 027×	`lower-*.f64`
2 027×	`lower-*.f32`
969×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	5740
1	207	5730
2	591	5710
3	1935	5600
4	4852	5570
0	8060	5198

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

Calls

Call 1

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

rewrite288.0ms (3.3%)

Memory

-1.5MiB live, 268.3MiB allocated

Rules

2 969×	`lower-fma.f32`
2 967×	`lower-fma.f64`
1 926×	`lower-*.f32`
1 914×	`lower-*.f64`
1 334×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	254
0	66	246
1	223	235
2	1338	221
0	9254	218

Stop Event

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

Counts

21 → 1 522

Calls

Call 1

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

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

eval355.0ms (4.1%)

Memory: 34.7MiB live, 420.6MiB allocated
Compiler: Compiled 54 864 to 4 826 computations (91.2% saved)

prune342.0ms (3.9%)

Memory

-29.3MiB live, 630.2MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	2 187	3	2 190
Fresh	2	5	7
Picked	1	4	5
Done	0	5	5
Total	2 190	17	2 207

Accuracy

99.4%

Counts

2 207 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x))
	28.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(approx (+ ( (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (*.f64 y y))))
✓	46.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y)) (* (+ (* z z) 1) y)) (+ (* (* (* z z) y) (- (* (* z z) y) y)) (* y y))) (.f64 (.f64 z y) z)))
	51.7%	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y (fma.f64 (.f64 (.f64 z z) z) z #s(literal -1 binary64))) y)) (/.f64 x #s(approx (+ (* (* z y) z) (neg y)) y)))
✓	89.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
✓	90.0%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	73.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(approx (+ ( (* z y) z) (neg y)) (neg.f64 y)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (* z y) z) (neg y)) (neg.f64 y)))) x))
✓	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 z z) x) y)))
✓	53.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 (*.f64 x z) z) y)))
	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 (.f64 y z) (*.f64 x z))))
✓	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (.f64 z (.f64 z (*.f64 y x)))))
	87.8%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
	61.2%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y (fma.f64 (.f64 (.f64 z z) z) z #s(literal -1 binary64))) y)) x) #s(approx (+ ( (* z y) z) (neg y)) y))
	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	59.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	59.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 842 to 276 computations (67.2% saved)

regimes251.0ms (2.9%)

Memory

-2.8MiB live, 153.1MiB allocated

Counts

38 → 2

Calls

Call 1

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

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

Calls

8 calls:

173.0ms	x
13.0ms	z
12.0ms	(/.f64 #s(literal 1 binary64) x)
11.0ms	(*.f64 z z)
11.0ms	y

Results

Accuracy	Segments	Branch
91.9%	1	`x`
95.1%	2	`y`
98.8%	2	`z`
97.1%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
91.9%	1	`(/.f64 #s(literal 1 binary64) x)`
97.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.8%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes32.0ms (0.4%)

Memory

10.3MiB live, 48.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

13.0ms	z
7.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	(*.f64 z z)
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.8%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.8%	2	`z`
97.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.8%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes19.0ms (0.2%)

Memory

-0.5MiB live, 37.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
4.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
97.3%	2	`z`
87.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.3%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory

-12.5MiB live, 39.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	y
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
59.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
59.9%	1	`x`
59.9%	1	`(/.f64 #s(literal 1 binary64) x)`
59.9%	1	`y`
59.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
59.9%	1	`z`
59.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
59.9%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-4.3MiB live, 34.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	z
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	y
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	x

Results

Accuracy	Segments	Branch
59.8%	1	`x`
59.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
59.8%	1	`y`
59.8%	1	`(/.f64 #s(literal 1 binary64) x)`
59.8%	1	`z`
59.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
59.8%	1	`(*.f64 z z)`
59.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes35.0ms (0.4%)

Memory

-16.0MiB live, 23.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

26.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	z
1.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	y

Results

Accuracy	Segments	Branch
59.8%	1	`x`
59.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
59.8%	1	`y`
59.8%	1	`(/.f64 #s(literal 1 binary64) x)`
59.8%	1	`z`
59.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
59.8%	1	`(*.f64 z z)`
59.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.9067126838827005e+274	1.676263562815596e+275

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6974976560576655e+93	1.2080161656445291e+95

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6466925697449987e-15	3.606250351565246e-9

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	181
1	49	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z z) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (fma.f64 z z #s(literal 1 binary64)) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(if (<=.f64 (.f64 z z) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (fma.f64 z z #s(literal 1 binary64)) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (*.f64 y z)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (*.f64 y z)))))
(if (<=.f64 (.f64 z z) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (*.f64 y z)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

soundness634.0ms (7.3%)

Memory

15.4MiB live, 482.2MiB allocated

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
2 537×	`lower-fma.f32`
2 535×	`lower-fma.f64`
2 390×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	225
0	52	153
1	209	153
2	1439	153
0	8752	153
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26

Stop Event

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

Compiler

Compiled 229 to 114 computations (50.2% saved)

preprocess512.0ms (5.9%)

Memory: -9.6MiB live, 592.5MiB allocated
Remove: (abs z)
Compiler: Compiled 1 144 to 564 computations (50.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze74.0ms (0.9%)

sample1.0s (11.6%)

explain140.0ms (1.6%)

preprocess332.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize46.0ms (0.5%)

series11.0ms (0.1%)

simplify235.0ms (2.7%)

rewrite259.0ms (3%)

eval72.0ms (0.8%)

prune124.0ms (1.4%)

simplify210.0ms (2.4%)

localize110.0ms (1.3%)

series178.0ms (2.1%)

simplify297.0ms (3.4%)

rewrite336.0ms (3.9%)

eval646.0ms (7.5%)

prune653.0ms (7.5%)

simplify175.0ms (2%)

localize142.0ms (1.6%)

series33.0ms (0.4%)

simplify156.0ms (1.8%)

rewrite85.0ms (1%)

eval145.0ms (1.7%)

prune156.0ms (1.8%)

simplify127.0ms (1.5%)

localize143.0ms (1.7%)

series57.0ms (0.7%)

simplify191.0ms (2.2%)

rewrite288.0ms (3.3%)

eval355.0ms (4.1%)

prune342.0ms (3.9%)

regimes251.0ms (2.9%)

regimes32.0ms (0.4%)

regimes19.0ms (0.2%)

regimes21.0ms (0.2%)

regimes13.0ms (0.2%)

regimes35.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness634.0ms (7.3%)

preprocess512.0ms (5.9%)

end0.0ms (0%)

Profiling