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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze57.0ms (0.7%)

Memory

2.9MiB live, 80.4MiB 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)

sample1.2s (13.3%)

Memory

7.4MiB live, 969.2MiB allocated

Samples

801.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-div: 252.0ms (61.6% of total)

ival-mult: 104.0ms (25.4% of total)

ival-add: 39.0ms (9.5% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain105.0ms (1.2%)

Memory

-15.8MiB live, 226.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
12	-	-	`(/.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**	17	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	12	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	66
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	62
↳	`(*.f64 z z)`	overflow	62

Confusion

	Predicted +	Predicted -
+	24	0
-	5	227

Precision

0.8275862068965517

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	0
-	5	0	227

Precision?

0.8275862068965517

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-div: 7.0ms (41.8% of total)

ival-mult: 7.0ms (41.8% of total)

ival-add: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess346.0ms (3.9%)

Memory

15.8MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 390×	`unsub-neg`
1 032×	`distribute-lft-in`
930×	`distribute-rgt-in`
594×	`div-sub`
550×	`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 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB 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	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Rules

142×	`lower-*.f32`
138×	`lower-*.f64`
72×	`associate-r`
70×	`lower-fma.f64`
70×	`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 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 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

localize48.0ms (0.5%)

Memory

-7.5MiB live, 30.8MiB 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	1.4413337025587896	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.60285119823548	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

41.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 28.0ms (85% of total)

ival-div: 3.0ms (9.1% of total)

ival-add: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

5 → 96

Calls

Call 1

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

Calls

9 calls:

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

simplify274.0ms (3.1%)

Memory

-33.8MiB live, 214.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
3 734×	`lower-*.f64`
3 734×	`lower-*.f32`
2 644×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite221.0ms (2.5%)

Memory

8.0MiB live, 198.7MiB allocated

Rules

4 616×	`lower-/.f32`
4 612×	`lower-/.f64`
4 020×	`lower-*.f32`
4 016×	`lower-*.f64`
3 572×	`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	2750	29
0	9073	26

Stop Event

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

Counts

5 → 437

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.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
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eval66.0ms (0.8%)

Memory: 9.1MiB live, 161.9MiB allocated
Compiler: Compiled 11 621 to 1 534 computations (86.8% saved)

prune43.0ms (0.5%)

Memory

5.4MiB live, 97.5MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	518	14	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	519	14	533

Accuracy

96.0%

Counts

533 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
	88.8%	(/.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))))
▶	93.5%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
▶	91.1%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	52.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	57.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	89.0%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
	38.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
▶	88.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
	90.9%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	53.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	52.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
▶	58.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 336 to 266 computations (20.8% saved)

simplify104.0ms (1.2%)

Memory

6.0MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	896	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	(*.f64 z z)
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	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
cost-diff	-384	(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff	0	(*.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 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	896	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))

Rules

1 344×	`lower-fma.f32`
1 342×	`lower-fma.f64`
1 064×	`lower-*.f32`
1 054×	`lower-*.f64`
578×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	171
0	46	168
1	93	168
2	195	165
3	426	165
4	745	165
5	1078	165
6	1535	165
7	1813	165
8	2436	165
9	2718	165
10	2862	165
11	2865	165
12	2866	165
13	2866	165
14	2866	165
15	2866	165
0	2866	165

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (1.4%)

Memory

-17.0MiB live, 127.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.2265625	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	5.512637786737518	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
accuracy	0	(*.f64 z z)
accuracy	1.4413337025587896	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
accuracy	5.60285119823548	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
accuracy	29.705892190138155	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.39171825515445796	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy	1.4413337025587896	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.413854942843621	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy	0	(*.f64 y x)
accuracy	0.5348881139688086	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	26.833283670962146	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 y)
accuracy	0.16796875	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	5.776422210423973	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))

Samples

96.0ms

256×

valid

Compiler

Compiled 165 to 25 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 64.0ms (80.5% of total)

ival-mult: 7.0ms (8.8% of total)

ival-add: 6.0ms (7.5% of total)

ival-neg: 2.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.4%)

Memory

31.7MiB live, 67.6MiB allocated

Counts

19 → 444

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms	y	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms	x	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms	x	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
2.0ms	y	@	-inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))

simplify144.0ms (1.6%)

Memory

8.1MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 802×	`lower-fma.f64`
6 802×	`lower-fma.f32`
3 392×	`lower-*.f64`
3 392×	`lower-*.f32`
2 064×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	4216
1	245	4205
2	676	4149
3	2550	4012
4	6593	3988
0	8256	3725

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 442

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

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

rewrite482.0ms (5.5%)

Memory

-122.9MiB live, 380.6MiB allocated

Rules

5 110×	`lower-*.f32`
5 100×	`lower-*.f64`
4 452×	`lower-/.f32`
4 434×	`lower-/.f64`
2 900×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	139
0	46	136
1	179	133
2	1153	133
0	8283	133

Stop Event

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

Counts

19 → 1 894

Calls

Call 1

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

Outputs
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eval425.0ms (4.8%)

Memory: -16.9MiB live, 750.4MiB allocated
Compiler: Compiled 51 054 to 5 045 computations (90.1% saved)

prune121.0ms (1.4%)

Memory

29.7MiB live, 190.9MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	2 704	13	2 717
Fresh	7	2	9
Picked	3	2	5
Done	0	0	0
Total	2 714	17	2 731

Accuracy

99.6%

Counts

2 731 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	52.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	56.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 #s(approx (+ 1 ( z z)) (*.f64 z z))) x))
	38.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
▶	56.6%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
	57.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
▶	96.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
	96.2%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
▶	91.0%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	93.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
	52.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
▶	56.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x)))
	53.1%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
▶	57.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
✓	58.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	57.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))

Compiler

Compiled 372 to 290 computations (22% saved)

simplify144.0ms (1.6%)

Memory

-10.5MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 512×	`lower-fma.f32`
1 508×	`lower-fma.f64`
1 232×	`lower-*.f32`
1 218×	`lower-*.f64`
560×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	203
0	55	207
1	105	198
2	176	196
3	325	196
4	456	196
5	786	196
6	1125	196
7	1414	196
8	1767	196
9	1960	196
10	2306	196
11	2943	196
12	3138	196
13	3164	196
14	3178	196
15	3180	196
16	3184	196
17	3205	196
18	3213	196
19	3213	196
20	3213	196
0	3213	191

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize151.0ms (1.7%)

Memory

1.2MiB live, 109.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
accuracy	0.4478399831652504	(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
accuracy	6.380509258374771	(.f64 (.f64 z z) x)
accuracy	29.284811647634356	#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x)))
accuracy	0	(*.f64 y z)
accuracy	0.0625	(fma.f64 (*.f64 y z) z y)
accuracy	0.39171825515445796	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
accuracy	5.413854942843621	(.f64 (fma.f64 (.f64 y z) z y) x)
accuracy	0	(*.f64 y x)
accuracy	0.39171825515445796	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x)))
accuracy	5.492875550392427	(.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x))
accuracy	29.705892190138155	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.21875	(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy	26.833283670962146	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
accuracy	0	(*.f64 y z)
accuracy	0	(*.f64 y x)
accuracy	0.39171825515445796	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
accuracy	1.6835890964906783	(fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x))

Samples

93.0ms

256×

valid

Compiler

Compiled 175 to 34 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 54.0ms (70.9% of total)

ival-mult: 15.0ms (19.7% of total)

ival-add: 4.0ms (5.3% of total)

ival-neg: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series100.0ms (1.1%)

Memory

-25.0MiB live, 44.7MiB allocated

Counts

20 → 528

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
59.0ms	x	@	-inf	((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
6.0ms	y	@	inf	((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
4.0ms	y	@	-inf	((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
4.0ms	x	@	inf	((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
4.0ms	x	@	0	((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))

simplify159.0ms (1.8%)

Memory

32.8MiB live, 222.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 426×	`lower-fma.f64`
11 426×	`lower-fma.f32`
3 870×	`lower-*.f64`
3 870×	`lower-*.f32`
1 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	4847
1	320	4836
2	870	4789
3	3059	4652
4	7038	4642
0	8114	4343

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 527

Calls

Call 1

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

Outputs
(* x y)
(*.f64 y x)
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(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
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(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* y z)
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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 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
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(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(* x y)
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(+ (* x y) (* x (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
1
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(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
y
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(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
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(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
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(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 z x) (-.f64 z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
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(/ -1 (* x (pow z 2)))
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(/ -1 (* x (pow z 2)))
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(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(* x (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* 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 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(* x (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
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(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(pow z 2)
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(.f64 (.f64 (*.f64 z z) y) x)
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(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
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(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
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(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.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))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 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 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(/ 1 (* x (* y (pow z 2))))
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(.f64 (.f64 z x) z)
(* x (pow z 2))
(.f64 (.f64 z x) z)
(* x (pow z 2))
(.f64 (.f64 z x) z)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))
(* x (pow z 2))
(.f64 (.f64 z x) z)
(* x (pow z 2))
(.f64 (.f64 z x) z)
(* x (pow z 2))
(.f64 (.f64 z x) z)
(* x (pow z 2))
(.f64 (.f64 z x) z)
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))

rewrite201.0ms (2.3%)

Memory

-18.9MiB live, 363.4MiB allocated

Rules

7 988×	`lower-fma.f32`
7 984×	`lower-fma.f64`
5 410×	`lower-*.f32`
5 396×	`lower-*.f64`
3 506×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	173
0	55	173
1	218	166
2	1396	163
0	8418	158

Stop Event

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

Counts

20 → 1 109

Calls

Call 1

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

Outputs
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eval451.0ms (5.1%)

Memory: 9.6MiB live, 560.6MiB allocated
Compiler: Compiled 30 830 to 2 510 computations (91.9% saved)

prune108.0ms (1.2%)

Memory

5.0MiB live, 150.3MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 738	7	1 745
Fresh	5	5	10
Picked	1	4	5
Done	0	2	2
Total	1 744	18	1 762

Accuracy

100.0%

Counts

1 762 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
✓	52.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	56.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 #s(approx (+ 1 ( z z)) (*.f64 z z))) x))
	62.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z))) (neg.f64 y))
	62.8%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))) (neg.f64 y))
	57.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
▶	94.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
✓	96.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
✓	91.0%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	52.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
▶	56.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
✓	56.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x)))
▶	91.0%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
▶	53.1%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
	44.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))))
✓	57.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
✓	58.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	57.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))

Compiler

Compiled 309 to 274 computations (11.3% saved)

simplify120.0ms (1.4%)

Memory

-27.7MiB live, 169.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ 1 ( z z)) (*.f64 z z))) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 #s(approx (+ 1 ( z z)) (*.f64 z z))) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff	0	(.f64 #s(approx (+ 1 ( z z)) (*.f64 z z)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z #s(literal -1 binary64))
cost-diff	0	(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
cost-diff	0	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
cost-diff	-768	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	320	(fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y))

Rules

7 306×	`lower-fma.f32`
7 300×	`lower-fma.f64`
2 292×	`lower-*.f32`
2 278×	`lower-*.f64`
2 228×	`lower--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	244
0	54	237
1	107	237
2	253	229
3	649	229
4	1538	229
5	3691	229
6	6919	229
0	8053	229

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

14.3MiB live, 173.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))
accuracy	0.20703125	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 #s(approx (+ 1 ( z z)) (*.f64 z z))) x))
accuracy	5.649828875289352	(.f64 (neg.f64 #s(approx (+ 1 ( z z)) (*.f64 z z))) x)
accuracy	29.705892190138155	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
accuracy	0.15600310973671483	(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.566245034277411	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
accuracy	0.078125	(.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
accuracy	0.39171825515445796	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
accuracy	5.649828875289352	(.f64 #s(approx (+ 1 ( z z)) (*.f64 z z)) x)
accuracy	29.705892190138155	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
accuracy	5.94295972776804	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))
accuracy	31.639468023114084	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
accuracy	0	(*.f64 x y)
accuracy	0.39171825515445796	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
accuracy	0.4911275961931296	(fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y))
accuracy	4.032212559194237	(.f64 (.f64 x y) z)

Samples

55.0ms

256×

valid

Compiler

Compiled 203 to 32 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 18.0ms (48.4% of total)

ival-mult: 12.0ms (32.2% of total)

ival-add: 4.0ms (10.7% of total)

ival-neg: 3.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series88.0ms (1%)

Memory

-4.0MiB live, 72.1MiB allocated

Counts

22 → 576

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((+ (* (* (* x y) z) z) (* x y)) (* (* x y) z) (* x y) (/ 1 (+ (* (* (* x y) z) z) (* x y))) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg (/ (+ (* z z) -1) (* y x))) (+ (* z z) -1) (* y x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ (/ -1 y) (* (neg (+ 1 (* z z))) x)) (/ -1 y) (* (neg (+ 1 (* z z))) x) (neg (+ 1 (* z z))) (/ (+ (* z z) -1) (* y x)) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
3.0ms	x	@	-inf	((+ (* (* (* x y) z) z) (* x y)) (* (* x y) z) (* x y) (/ 1 (+ (* (* (* x y) z) z) (* x y))) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg (/ (+ (* z z) -1) (* y x))) (+ (* z z) -1) (* y x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ (/ -1 y) (* (neg (+ 1 (* z z))) x)) (/ -1 y) (* (neg (+ 1 (* z z))) x) (neg (+ 1 (* z z))) (/ (+ (* z z) -1) (* y x)) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
3.0ms	y	@	-inf	((+ (* (* (* x y) z) z) (* x y)) (* (* x y) z) (* x y) (/ 1 (+ (* (* (* x y) z) z) (* x y))) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg (/ (+ (* z z) -1) (* y x))) (+ (* z z) -1) (* y x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ (/ -1 y) (* (neg (+ 1 (* z z))) x)) (/ -1 y) (* (neg (+ 1 (* z z))) x) (neg (+ 1 (* z z))) (/ (+ (* z z) -1) (* y x)) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
3.0ms	x	@	0	((+ (* (* (* x y) z) z) (* x y)) (* (* x y) z) (* x y) (/ 1 (+ (* (* (* x y) z) z) (* x y))) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg (/ (+ (* z z) -1) (* y x))) (+ (* z z) -1) (* y x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ (/ -1 y) (* (neg (+ 1 (* z z))) x)) (/ -1 y) (* (neg (+ 1 (* z z))) x) (neg (+ 1 (* z z))) (/ (+ (* z z) -1) (* y x)) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
3.0ms	y	@	0	((+ (* (* (* x y) z) z) (* x y)) (* (* x y) z) (* x y) (/ 1 (+ (* (* (* x y) z) z) (* x y))) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg (/ (+ (* z z) -1) (* y x))) (+ (* z z) -1) (* y x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ (/ -1 y) (* (neg (+ 1 (* z z))) x)) (/ -1 y) (* (neg (+ 1 (* z z))) x) (neg (+ 1 (* z z))) (/ (+ (* z z) -1) (* y x)) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))

simplify208.0ms (2.4%)

Memory

13.1MiB live, 222.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 682×	`lower-fma.f64`
13 682×	`lower-fma.f32`
4 636×	`lower-*.f64`
4 636×	`lower-*.f32`
2 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	5719
1	340	5561
2	949	5389
3	3527	5337
0	8041	5039

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 575

Calls

Call 1

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

rewrite214.0ms (2.4%)

Memory

20.8MiB live, 208.1MiB allocated

Rules

4 784×	`lower-fma.f32`
4 778×	`lower-fma.f64`
3 848×	`lower-*.f32`
3 834×	`lower-*.f64`
3 408×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	54	205
1	213	201
2	1463	195
0	8549	195

Stop Event

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

Counts

22 → 1 099

Calls

Call 1

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

Outputs
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eval256.0ms (2.9%)

Memory: 3.7MiB live, 494.5MiB allocated
Compiler: Compiled 29 554 to 3 518 computations (88.1% saved)

prune62.0ms (0.7%)

Memory

17.2MiB live, 219.5MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 807	5	1 812
Fresh	2	5	7
Picked	3	2	5
Done	2	4	6
Total	1 814	16	1 830

Accuracy

100.0%

Counts

1 830 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
	62.8%	(/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg (+ 1 (* z z))) x) (.f64 (.f64 z x) (neg.f64 z))))
	62.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z))) (neg.f64 y))
	57.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
	98.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
✓	91.0%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	52.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
✓	56.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
✓	56.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x)))
	56.3%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (.f64 z z))) (.f64 y x)))
	24.3%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x (fma.f64 z z #s(literal -1 binary64)))) #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y)))
	50.4%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (/.f64 (-.f64 #s(literal 1 binary64) z) x)))
✓	53.1%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
	44.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))))
✓	57.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
✓	58.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 627 to 302 computations (51.8% saved)

regimes104.0ms (1.2%)

Memory

-8.4MiB live, 180.9MiB allocated

Counts

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

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

Calls

8 calls:

19.0ms	x
14.0ms	z
13.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	(*.f64 z z)
12.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.7%	1	`(/.f64 #s(literal 1 binary64) x)`
98.7%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes52.0ms (0.6%)

Memory

34.1MiB live, 107.6MiB allocated

Counts

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

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

Calls

8 calls:

8.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
8.0ms	y
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	x
6.0ms	z

Results

Accuracy	Segments	Branch
98.6%	2	`x`
99.4%	2	`y`
96.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.0%	2	`z`
98.6%	2	`(/.f64 #s(literal 1 binary64) x)`
96.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.0%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-17.4MiB live, 16.0MiB allocated

Counts

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes34.0ms (0.4%)

Memory

-28.2MiB live, 45.9MiB allocated

Counts

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

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

Calls

4 calls:

6.0ms	y
5.0ms	z
5.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.7%	2	`z`
98.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.7%	2	`(*.f64 z z)`
98.3%	2	`y`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes43.0ms (0.5%)

Memory

3.0MiB live, 120.6MiB allocated

Counts

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

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

Calls

8 calls:

6.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	y
5.0ms	z
5.0ms	x
5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
95.4%	2	`y`
93.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.1%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
93.1%	1	`x`
93.1%	1	`(/.f64 #s(literal 1 binary64) x)`
95.4%	2	`z`
95.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
95.4%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes20.0ms (0.2%)

Memory

-0.3MiB live, 40.7MiB allocated

Counts

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

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

Calls

4 calls:

5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
5.0ms	y
5.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
95.4%	2	`z`
95.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
95.4%	2	`(*.f64 z z)`
95.4%	2	`y`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes27.0ms (0.3%)

Memory

5.0MiB live, 43.3MiB allocated

Counts

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

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

Calls

6 calls:

5.0ms	y
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	z
4.0ms	x
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
93.1%	1	`x`
93.1%	1	`(/.f64 #s(literal 1 binary64) x)`
93.1%	1	`y`
93.1%	1	`z`
93.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
93.1%	1	`(*.f64 z z)`

Compiler

Compiled 14 to 24 computations (-71.4% saved)

regimes32.0ms (0.4%)

Memory

16.3MiB live, 55.1MiB 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) y) (neg.f64 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) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))

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

Calls

8 calls:

5.0ms	y
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
93.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
93.1%	2	`(*.f64 z z)`
91.8%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
88.8%	1	`x`
88.8%	1	`y`
93.1%	2	`z`
88.8%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

-3.7MiB live, 35.7MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
92.7%	2	`(*.f64 z z)`
92.7%	2	`z`
80.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

-11.7MiB live, 29.6MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.0%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
90.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.5%	2	`(*.f64 z z)`
90.5%	2	`z`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes19.0ms (0.2%)

Memory

-6.0MiB live, 31.8MiB allocated

Counts

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

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

Calls

6 calls:

6.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	z
3.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
63.1%	4	`x`
60.3%	2	`y`
63.1%	4	`(/.f64 #s(literal 1 binary64) x)`
88.4%	2	`z`
88.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.4%	2	`(*.f64 z z)`

Compiler

Compiled 14 to 24 computations (-71.4% saved)

regimes22.0ms (0.2%)

Memory

-0.1MiB live, 38.3MiB allocated

Accuracy

Total -3.3b remaining (-12.2%)

Threshold costs -3.3b (-12.2%)

Counts

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

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

Calls

8 calls:

5.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
58.0%	1	`x`
58.0%	1	`(/.f64 #s(literal 1 binary64) x)`
58.0%	1	`y`
58.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
58.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
58.0%	1	`z`
58.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
58.0%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch12.0ms (0.1%)

Memory

-11.2MiB live, 27.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6107109852644525e+129	8.863484226292856e+130

Samples

6.0ms

112×

valid

Compiler

Compiled 182 to 148 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (29.5% of total)

ival-mult: 1.0ms (29.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	6.038021928855121e+95	7.916452195105007e+95

Samples

3.0ms

48×

valid

Compiler

Compiled 83 to 78 computations (6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (70.9% of total)

ival-mult: 1.0ms (70.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.103981241796278e+300	4.932241980536718e+307

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	3.443314458235747e-43	3.126443786554802e-42

Samples

3.0ms

48×

valid

Compiler

Compiled 77 to 75 computations (2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (69% of total)

ival-mult: 1.0ms (69% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.103981241796278e+300	4.932241980536718e+307

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.71730468455094e+304	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch41.0ms (0.5%)

Memory

-22.6MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.315935505094848e-8	25.03430091883533

Samples

8.0ms

144×

valid

Compiler

Compiled 167 to 186 computations (-11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (45.1% of total)

ival-mult: 2.0ms (45.1% of total)

ival-add: 1.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.315935505094848e-8	25.03430091883533

Compiler

Compiled 167 to 186 computations (-11.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0995428273948624e-15	626.7162224947995

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify39.0ms (0.4%)

Memory

4.0MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`-commutative-binary64-.f64`
20×	`neg-sub0-binary64--.f64-neg.f64`
20×	`+-commutative-binary64-+.f64`
20×	`neg-mul-1-binary64-*.f64-neg.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	321
1	113	321
2	128	321
3	148	321
4	162	321
5	171	321
6	174	321
7	175	321

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
(if (<=.f64 y #s(literal 1700000000000000089318106081914471060960179311602596106397762592694289311243850570346007204388443922518807734029998864280129110016 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))))
(if (<=.f64 y #s(literal 699999999999999999331827966632689877786181345137998213577885762143610606448144263538207885361152 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (.f64 y x))))
(if (<=.f64 y #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 y z) z y) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ ( z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
(if (<=.f64 y #s(literal 1700000000000000089318106081914471060960179311602596106397762592694289311243850570346007204388443922518807734029998864280129110016 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))))
(if (<=.f64 y #s(literal 1700000000000000089318106081914471060960179311602596106397762592694289311243850570346007204388443922518807734029998864280129110016 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) z) z (.f64 y x))))
(if (<=.f64 y #s(literal 699999999999999999331827966632689877786181345137998213577885762143610606448144263538207885361152 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 699999999999999999331827966632689877786181345137998213577885762143610606448144263538207885361152 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x))) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) x) z (.f64 y x))))
(if (<=.f64 y #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x)) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 y z) z y) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) y) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ ( z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))))
(if (<=.f64 (.f64 z z) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (/.f64 #s(approx (/ (/ -1 x) (+ ( z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.7s (19.8%)

Memory

-18.7MiB live, 958.3MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
7 988×	`lower-fma.f32`
7 984×	`lower-fma.f64`
6 802×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	173
0	55	173
1	218	166
2	1396	163
0	8418	158
0	89	4216
1	245	4205
2	676	4149
3	2550	4012
4	6593	3988
0	8256	3725
0	29	139
0	46	136
1	179	133
2	1153	133
0	8283	133
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693
0	34	209
0	54	205
1	213	201
2	1463	195
0	8549	195

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 1 202 to 597 computations (50.3% saved)

preprocess438.0ms (5%)

Memory

28.7MiB live, 345.4MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 1 314 to 562 computations (57.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze57.0ms (0.7%)

sample1.2s (13.3%)

explain105.0ms (1.2%)

preprocess346.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize48.0ms (0.5%)

series12.0ms (0.1%)

simplify274.0ms (3.1%)

rewrite221.0ms (2.5%)

eval66.0ms (0.8%)

prune43.0ms (0.5%)

simplify104.0ms (1.2%)

localize127.0ms (1.4%)

series32.0ms (0.4%)

simplify144.0ms (1.6%)

rewrite482.0ms (5.5%)

eval425.0ms (4.8%)

prune121.0ms (1.4%)

simplify144.0ms (1.6%)

localize151.0ms (1.7%)

series100.0ms (1.1%)

simplify159.0ms (1.8%)

rewrite201.0ms (2.3%)

eval451.0ms (5.1%)

prune108.0ms (1.2%)

simplify120.0ms (1.4%)

localize77.0ms (0.9%)

series88.0ms (1%)

simplify208.0ms (2.4%)

rewrite214.0ms (2.4%)

eval256.0ms (2.9%)

prune62.0ms (0.7%)

regimes104.0ms (1.2%)

regimes52.0ms (0.6%)

regimes11.0ms (0.1%)

regimes34.0ms (0.4%)

regimes43.0ms (0.5%)

regimes20.0ms (0.2%)

regimes27.0ms (0.3%)

regimes32.0ms (0.4%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes19.0ms (0.2%)

regimes22.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch41.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify39.0ms (0.4%)

soundness1.7s (19.8%)

preprocess438.0ms (5%)

end0.0ms (0%)

Profiling