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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze73.0ms (0.7%)

Memory

-8.3MiB live, 183.5MiB 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)

sample1.6s (15.9%)

Memory

-82.2MiB live, 1 351.7MiB allocated

Samples

865.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-div: 341.0ms (62.2% of total)

ival-mult: 150.0ms (27.4% of total)

ival-add: 43.0ms (7.8% of total)

ival-true: 7.0ms (1.3% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain175.0ms (1.7%)

Memory

6.6MiB live, 202.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
9	-	-	`(.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 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	15	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	71
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	62
↳	`(*.f64 z z)`	overflow	62
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	9	0

Confusion

	Predicted +	Predicted -
+	21	0
-	3	232

Precision

0.875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	3	0	232

Precision?

0.875

Recall?

1.0

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 147 to 58 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 33.0ms (61.3% of total)

ival-mult: 17.0ms (31.6% of total)

ival-add: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess334.0ms (3.3%)

Memory

30.0MiB live, 68.6MiB allocated

Algorithm

1×	egg-herbie

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.1%	(/.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)

simplify21.0ms (0.2%)

Memory

-29.2MiB live, 9.3MiB 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))

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

localize98.0ms (1%)

Memory

6.2MiB live, 45.3MiB 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	0.7349995536508682	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	6.241785428187343	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

91.0ms

256×

valid

Compiler

Compiled 68 to 20 computations (70.6% saved)

Precisions

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

ival-div: 3.0ms (37.4% of total)

ival-mult: 3.0ms (37.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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))

simplify312.0ms (3.1%)

Memory

5.9MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite257.0ms (2.6%)

Memory

-13.6MiB live, 306.6MiB allocated

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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eval147.0ms (1.5%)

Memory: -8.7MiB live, 110.7MiB allocated
Compiler: Compiled 11 621 to 1 534 computations (86.8% saved)

prune75.0ms (0.7%)

Memory

14.8MiB live, 54.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	512	20	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	513	20	533

Accuracy

95.5%

Counts

533 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.9%	(pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	88.9%	(/.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))))
	66.3%	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
	94.1%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
▶	94.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	92.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	90.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	49.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	56.9%	(/.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))
▶	38.0%	(/.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)))))
	39.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)))
	89.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
	92.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	93.9%	(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
	92.2%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
	89.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	49.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
▶	57.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 536 to 402 computations (25% saved)

simplify150.0ms (1.5%)

Memory

1.4MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	256	(.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))))
cost-diff	320	(-.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))))
cost-diff	960	(/.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)))))
cost-diff	1472	(.f64 #s(literal 0 binary64) (.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	(neg.f64 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 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
cost-diff	0	(.f64 y #s(approx (+ 1 ( 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) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
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	128	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	247
0	55	194
1	137	194
2	466	189
3	3270	189
4	6974	189
0	8070	189

Stop Event

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

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

localize152.0ms (1.5%)

Memory

1.4MiB live, 202.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7349995536508682	(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
accuracy	4.927844198384451	(.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	21.163944161490022	(.f64 #s(literal 0 binary64) (.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy	32.5663876316434	(/.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)))))
accuracy	0	(neg.f64 x)
accuracy	0.6450600245671073	(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
accuracy	0.7349995536508682	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.565109537169085	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.7349995536508682	(.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))
accuracy	6.241785428187343	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
accuracy	32.36171746602295	#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.5061780267052892	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	27.528024588890865	#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	1.1685713097230246	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	4.886737899955205	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))

Samples

105.0ms

256×

valid

Compiler

Compiled 477 to 60 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 31.0ms (50.8% of total)

ival-mult: 23.0ms (37.7% of total)

ival-add: 4.0ms (6.6% of total)

ival-neg: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series122.0ms (1.2%)

Memory

-32.2MiB live, 126.2MiB allocated

Counts

22 → 564

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	z	@	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 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) (+ (* z z) 1)))
13.0ms	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 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) (+ (* z z) 1)))
6.0ms	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 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) (+ (* z z) 1)))
4.0ms	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 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) (+ (* z z) 1)))
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 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) (+ (* z z) 1)))

simplify187.0ms (1.9%)

Memory

40.5MiB live, 195.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	5524
1	433	5372
2	1279	5245
3	4113	5230
0	8198	4932

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

Inputs
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ -1 x)
(- (/ (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)))
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))
(/ -1 y)
(- (/ (pow z 2) y) (/ 1 y))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
0
0
0
0
(/ 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 (pow z 2)) (* -1 y))
(- (* y (pow z 2)) (* -1 y))
(- (* y (pow z 2)) (* -1 y))
(* x (pow y 2))
(+ (* 2 (* x (* (pow y 2) (pow z 2)))) (* x (pow y 2)))
(+ (* x (pow y 2)) (* (pow z 2) (+ (* 2 (* x (pow y 2))) (* x (* (pow y 2) (pow z 2))))))
(+ (* x (pow y 2)) (* (pow z 2) (+ (* 2 (* x (pow y 2))) (* x (* (pow y 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 (* x y))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(* -1 y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(+ (* -1 y) (* -1 (* y (pow z 2))))
(+ (* -1 y) (* -1 (* 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 (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))
(* 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))))
(/ -1 (* y (pow z 2)))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (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))))
0
0
0
0
(/ 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 (pow z 2)) (* -1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (* -1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (* -1 y)))
(* x (* (pow y 2) (pow z 4)))
(* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (* x (pow y 2))))
(* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (+ (* x (pow y 2)) (/ (* x (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (+ (* x (pow y 2)) (/ (* x (pow y 2)) (pow z 4)))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
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Outputs
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
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(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64))))
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 z y) x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
y
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(/.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))
(/ 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)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ 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))
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y y) x))
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y y) x))
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y y) x))
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y 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 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)

rewrite235.0ms (2.3%)

Memory

3.6MiB live, 203.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	212
0	55	159
1	241	156
2	1791	151
0	8530	151

Stop Event

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

Counts

22 → 2 155

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

Outputs
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eval663.0ms (6.6%)

Memory: 10.5MiB live, 727.0MiB allocated
Compiler: Compiled 121 481 to 6 615 computations (94.6% saved)

prune97.0ms (1%)

Memory

-0.5MiB live, 237.9MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	3 707	13	3 720
Fresh	8	7	15
Picked	4	1	5
Done	0	0	0
Total	3 719	21	3 740

Accuracy

95.5%

Counts

3 740 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
	36.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
	92.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	90.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	49.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	90.2%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y z) z y)) (neg.f64 x))
	92.2%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
	43.1%	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	94.1%	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) x))
▶	54.0%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
	56.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
	56.8%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
▶	89.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
▶	94.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
	92.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	53.5%	(.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) (neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
	74.4%	(.f64 (/.f64 (neg.f64 y) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) #s(literal -1 binary64))
▶	89.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
	49.0%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
▶	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	57.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 484 to 415 computations (14.3% saved)

simplify208.0ms (2.1%)

Memory

-5.6MiB live, 137.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	207
0	53	206
1	107	206
2	218	203
3	529	203
4	928	203
5	1432	203
6	2429	203
7	3344	203
8	4071	203
9	4790	203
10	5383	203
11	5668	203
12	6338	203
13	6775	203
14	7916	203
0	8018	203

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (0.9%)

Memory

12.1MiB live, 123.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.6450600245671073	(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
accuracy	0.7349995536508682	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.608742056705969	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
accuracy	0.2345201259523709	(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
accuracy	1.1685713097230246	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
accuracy	5.993283584599508	(.f64 (.f64 z z) x)
accuracy	29.27670017455099	#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x)))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.1942363822387498	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy	0.7349995536508682	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	6.116238134319791	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	6.822364797635202	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
accuracy	31.99918901346465	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
accuracy	0	(neg.f64 y)
accuracy	0.1942363822387498	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
accuracy	1.2199946934651331	(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))
accuracy	4.746466480401643	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

66.0ms

256×

valid

Compiler

Compiled 379 to 58 computations (84.7% saved)

Precisions

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

ival-mult: 20.0ms (48% of total)

ival-div: 15.0ms (36% of total)

ival-add: 4.0ms (9.6% of total)

ival-neg: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.4%)

Memory

-2.7MiB live, 82.7MiB allocated

Counts

20 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (* y (+ (* z z) 1))) (/ -1 x) (/ -1 (* (* (+ (* z z) 1) x) (neg y))) (/ (+ (* (neg z) z) 1) (* y x)) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)))
3.0ms	x	@	-inf	((* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (* y (+ (* z z) 1))) (/ -1 x) (/ -1 (* (* (+ (* z z) 1) x) (neg y))) (/ (+ (* (neg z) z) 1) (* y x)) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)))
3.0ms	x	@	inf	((* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (* y (+ (* z z) 1))) (/ -1 x) (/ -1 (* (* (+ (* z z) 1) x) (neg y))) (/ (+ (* (neg z) z) 1) (* y x)) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)))
3.0ms	y	@	-inf	((* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (* y (+ (* z z) 1))) (/ -1 x) (/ -1 (* (* (+ (* z z) 1) x) (neg y))) (/ (+ (* (neg z) z) 1) (* y x)) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)))
3.0ms	x	@	0	((* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (* y (+ (* z z) 1))) (/ -1 x) (/ -1 (* (* (+ (* z z) 1) x) (neg y))) (/ (+ (* (neg z) z) 1) (* y x)) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)))

simplify196.0ms (2%)

Memory

4.4MiB live, 277.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	5345
1	366	5258
2	1010	4969
3	4039	4777
0	8840	4547

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 514

Calls

Call 1

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

rewrite264.0ms (2.6%)

Memory

-16.0MiB live, 245.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
0	55	161
1	210	161
2	1298	156
0	9073	155

Stop Event

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

Counts

20 → 1 822

Calls

Call 1

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

Outputs
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eval362.0ms (3.6%)

Memory: 16.5MiB live, 713.7MiB allocated
Compiler: Compiled 47 871 to 5 223 computations (89.1% saved)

prune122.0ms (1.2%)

Memory

-10.2MiB live, 225.4MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	2 737	12	2 749
Fresh	6	9	15
Picked	4	1	5
Done	0	1	1
Total	2 747	23	2 770

Accuracy

100.0%

Counts

2 770 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
	92.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	49.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	43.1%	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
▶	94.1%	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) x))
	54.0%	(/.f64 (neg.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 x)))) y)
	57.8%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x z) z))) (neg.f64 y))
	56.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
	57.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 x z)))) (neg.f64 y))
▶	56.8%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
▶	90.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	92.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	94.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
	49.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
▶	97.8%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
▶	74.9%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))))
	56.7%	(/.f64 #s(literal -1 binary64) #s(approx (* (* (+ (* z z) 1) x) (neg y)) (.f64 (.f64 (neg.f64 x) z) (*.f64 z y))))
	53.5%	(.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) (neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
	74.4%	(.f64 (/.f64 (neg.f64 y) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) #s(literal -1 binary64))
	49.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) x))
✓	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	57.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 518 to 440 computations (15.1% saved)

simplify100.0ms (1%)

Memory

35.6MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))))
cost-diff	448	(/.f64 y (neg.f64 (*.f64 y y)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 z z))
cost-diff	0	(.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	-768	(/.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	(neg.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x z)
cost-diff	0	(fma.f64 (*.f64 x z) z x)
cost-diff	0	(.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	202
0	60	182
1	119	182
2	260	178
3	979	178
4	3651	178
5	6383	178
0	8099	178

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1%)

Memory

-27.3MiB live, 225.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1942363822387498	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))))
accuracy	1.2199946934651331	(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))))
accuracy	4.746466480401643	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
accuracy	29.04576972022579	(/.f64 y (neg.f64 (*.f64 y y)))
accuracy	0	(-.f64 #s(literal -1 binary64) (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	1.3603569088369707	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) x))
accuracy	4.746466480401643	(.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) x)
accuracy	0	(*.f64 y z)
accuracy	0.0546875	(fma.f64 (*.f64 y z) z y)
accuracy	0.1942363822387498	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
accuracy	6.116238134319791	(.f64 (fma.f64 (.f64 y z) z y) x)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	5.565109537169085	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
accuracy	31.838976740455692	#s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	0.07421875	(fma.f64 (*.f64 x z) z x)
accuracy	0.1942363822387498	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
accuracy	1.2199946934651331	(.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y))

Samples

80.0ms

256×

valid

Compiler

Compiled 394 to 65 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 34.0ms (56% of total)

ival-div: 15.0ms (24.7% of total)

ival-neg: 5.0ms (8.2% of total)

ival-add: 4.0ms (6.6% of total)

ival-sub: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.5%)

Memory

4.8MiB live, 120.0MiB allocated

Counts

22 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (/ -1 y) (neg x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (* (- -1 (* z z)) x) (- -1 (* z z)) (* z z) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y))))) (* (+ (* z z) 1) x) (/ -1 (* (+ (* (* x z) z) x) (neg y))) (/ (/ -1 y) (* (- -1 (* z z)) x)) (/ -1 (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y)))))))
5.0ms	x	@	inf	((* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (/ -1 y) (neg x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (* (- -1 (* z z)) x) (- -1 (* z z)) (* z z) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y))))) (* (+ (* z z) 1) x) (/ -1 (* (+ (* (* x z) z) x) (neg y))) (/ (/ -1 y) (* (- -1 (* z z)) x)) (/ -1 (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y)))))))
4.0ms	x	@	-inf	((* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (/ -1 y) (neg x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (* (- -1 (* z z)) x) (- -1 (* z z)) (* z z) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y))))) (* (+ (* z z) 1) x) (/ -1 (* (+ (* (* x z) z) x) (neg y))) (/ (/ -1 y) (* (- -1 (* z z)) x)) (/ -1 (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y)))))))
4.0ms	y	@	-inf	((* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (/ -1 y) (neg x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (* (- -1 (* z z)) x) (- -1 (* z z)) (* z z) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y))))) (* (+ (* z z) 1) x) (/ -1 (* (+ (* (* x z) z) x) (neg y))) (/ (/ -1 y) (* (- -1 (* z z)) x)) (/ -1 (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y)))))))
3.0ms	y	@	inf	((* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (neg y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (/ -1 y) (neg x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (* (- -1 (* z z)) x) (- -1 (* z z)) (* z z) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y))))) (* (+ (* z z) 1) x) (/ -1 (* (+ (* (* x z) z) x) (neg y))) (/ (/ -1 y) (* (- -1 (* z z)) x)) (/ -1 (* (* (+ (* z z) 1) x) (/ 1 (/ y (neg (* y y)))))))

simplify213.0ms (2.1%)

Memory

8.1MiB live, 316.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	5119
1	355	5021
2	1008	4878
3	4001	4801
0	8881	4555

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 537

Calls

Call 1

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

rewrite266.0ms (2.7%)

Memory

-9.8MiB live, 356.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	168
0	60	144
1	225	144
2	1449	144
0	9090	144

Stop Event

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

Counts

22 → 2 222

Calls

Call 1

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

Outputs
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eval463.0ms (4.6%)

Memory: 28.2MiB live, 809.4MiB allocated
Compiler: Compiled 49 601 to 4 214 computations (91.5% saved)

prune115.0ms (1.1%)

Memory

-26.5MiB live, 270.4MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	2 795	6	2 801
Fresh	5	11	16
Picked	2	3	5
Done	0	2	2
Total	2 802	22	2 824

Accuracy

100.0%

Counts

2 824 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	49.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	57.8%	(/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- -1 (* z z)) x) (.f64 (.f64 (neg.f64 z) x) z)))
	57.8%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x z) z))) (neg.f64 y))
	56.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
	53.9%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 (neg.f64 y) (*.f64 y y))) (neg.f64 x))
	26.2%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
✓	56.8%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
✓	90.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	92.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	94.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
	49.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
	99.6%	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (neg.f64 y) (.f64 z x)) z (*.f64 (neg.f64 x) y)))
✓	97.8%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
	79.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (neg.f64 y)) y))
	56.7%	(/.f64 #s(literal -1 binary64) #s(approx (* (+ (* (* x z) z) x) (neg y)) (.f64 (.f64 (neg.f64 z) y) (*.f64 z x))))
	53.5%	(.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) (neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
	74.4%	(.f64 (/.f64 (neg.f64 y) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) #s(literal -1 binary64))
	49.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) x))
✓	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	57.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 911 to 403 computations (55.8% saved)

regimes286.0ms (2.9%)

Memory

7.7MiB live, 324.4MiB allocated

Counts

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

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

Calls

8 calls:

123.0ms	x
70.0ms	(/.f64 #s(literal 1 binary64) x)
19.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
15.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
14.0ms	z

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.6%	1	`(/.f64 #s(literal 1 binary64) x)`
99.6%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.6%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes118.0ms (1.2%)

Memory

-0.4MiB live, 118.7MiB allocated

Counts

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

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

Calls

8 calls:

46.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
19.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
11.0ms	y
8.0ms	(/.f64 #s(literal 1 binary64) x)
8.0ms	x

Results

Accuracy	Segments	Branch
97.8%	1	`x`
99.6%	2	`y`
97.8%	1	`z`
97.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.8%	1	`(/.f64 #s(literal 1 binary64) x)`
97.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.8%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes57.0ms (0.6%)

Memory

9.8MiB live, 86.7MiB allocated

Counts

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

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

Calls

8 calls:

18.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
6.0ms	(*.f64 z z)
6.0ms	y
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	x

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes48.0ms (0.5%)

Memory

-23.7MiB live, 73.2MiB 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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 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)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) 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 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 z z #s(literal 1 binary64)) (.f64 y x)))
(/.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) #s(approx (* (* (+ (* z z) 1) x) (neg y)) (.f64 (.f64 (neg.f64 x) z) (*.f64 z y))))
(/.f64 #s(literal -1 binary64) #s(approx (* (+ (* (* x z) z) x) (neg y)) (.f64 (.f64 (neg.f64 z) y) (*.f64 z x))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))

Outputs

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

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

Calls

8 calls:

11.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
6.0ms	y
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
94.2%	1	`x`
94.2%	1	`y`
98.9%	2	`z`
94.2%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
94.2%	1	`(/.f64 #s(literal 1 binary64) x)`
96.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes78.0ms (0.8%)

Memory

-14.7MiB live, 62.8MiB 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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 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)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) 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 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 z z #s(literal 1 binary64)) (.f64 y x)))
(/.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))

Calls

8 calls:

16.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
94.2%	1	`x`
94.2%	1	`y`
94.2%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
94.2%	1	`(/.f64 #s(literal 1 binary64) x)`
94.2%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
94.2%	1	`z`
94.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.2%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes28.0ms (0.3%)

Memory

15.3MiB live, 56.6MiB allocated

Counts

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
89.1%	1	`x`
89.1%	1	`y`
89.1%	1	`z`
89.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
89.1%	1	`(/.f64 #s(literal 1 binary64) x)`
89.1%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
89.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
89.1%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes26.0ms (0.3%)

Memory

16.0MiB live, 51.7MiB allocated

Counts

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

Outputs

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
60.5%	2	`x`
60.4%	2	`y`
88.6%	2	`z`
88.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.6%	2	`(*.f64 z z)`
60.5%	2	`(/.f64 #s(literal 1 binary64) x)`
76.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
71.7%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

2.4MiB live, 39.1MiB allocated

Accuracy

Total -3.9b remaining (-14.3%)

Threshold costs -3.9b (-14.3%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 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	z
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	y
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
57.3%	1	`y`
57.3%	1	`x`
57.3%	1	`(/.f64 #s(literal 1 binary64) x)`
57.3%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
57.3%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
57.3%	1	`z`
57.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
57.3%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch13.0ms (0.1%)

Memory

-9.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	1.2427946748863193e-25	1.596457093060468e-21

Samples

8.0ms

96×

valid

Compiler

Compiled 152 to 135 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (69.2% of total)

ival-div: 1.0ms (17.3% 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

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3225605340805657e+306	+inf

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006681702471194226	0.9871578125725704

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify32.0ms (0.3%)

Memory

6.4MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	174
1	94	174
2	125	174
3	152	174
4	170	174
5	176	174
6	178	174

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (neg.f64 y) (.f64 z x)) z (*.f64 (neg.f64 x) y)))
(if (<=.f64 y #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (.f64 y x))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (*.f64 x z) z x) (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal -1 binary64) #s(approx ( (* (+ (* z z) 1) x) (neg y)) (.f64 (.f64 (neg.f64 x) z) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(if (<=.f64 (.f64 z z) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 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 (neg.f64 y) (.f64 z x)) z (*.f64 (neg.f64 x) y)))
(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (neg.f64 x) z) y) z (*.f64 (neg.f64 x) y)))
(if (<=.f64 y #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (.f64 y x))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (*.f64 x z) z x) (neg.f64 y))))
(if (<=.f64 y #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) x) z (.f64 x y))) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (*.f64 x z) z x) y)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
(/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x z) z x) y))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal -1 binary64) #s(approx ( (* (+ (* z z) 1) x) (neg y)) (.f64 (.f64 (neg.f64 x) z) (*.f64 z y)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal -1 binary64) #s(approx ( (* (+ (* z z) 1) x) (neg y)) (.f64 (.f64 (neg.f64 z) y) (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.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)) y) x))
(if (<=.f64 (.f64 z z) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))))
(if (<=.f64 (.f64 z z) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x 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)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

soundness1.6s (16.3%)

Memory

16.8MiB live, 873.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	5345
1	366	5258
2	1010	4969
3	4039	4777
0	8840	4547
0	34	166
0	55	161
1	210	161
2	1298	156
0	9073	155
0	34	212
0	55	159
1	241	156
2	1791	151
0	8530	151
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26
0	34	168
0	60	144
1	225	144
2	1449	144
0	9090	144

Stop Event

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

Compiler

Compiled 651 to 353 computations (45.8% saved)

preprocess394.0ms (3.9%)

Memory

-36.6MiB live, 590.2MiB allocated

Remove

(sort x y)

(negabs x)

(abs z)

Compiler

Compiled 1 740 to 1 060 computations (39.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze73.0ms (0.7%)

sample1.6s (15.9%)

explain175.0ms (1.7%)

preprocess334.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.2%)

localize98.0ms (1%)

series12.0ms (0.1%)

simplify312.0ms (3.1%)

rewrite257.0ms (2.6%)

eval147.0ms (1.5%)

prune75.0ms (0.7%)

simplify150.0ms (1.5%)

localize152.0ms (1.5%)

series122.0ms (1.2%)

simplify187.0ms (1.9%)

rewrite235.0ms (2.3%)

eval663.0ms (6.6%)

prune97.0ms (1%)

simplify208.0ms (2.1%)

localize88.0ms (0.9%)

series42.0ms (0.4%)

simplify196.0ms (2%)

rewrite264.0ms (2.6%)

eval362.0ms (3.6%)

prune122.0ms (1.2%)

simplify100.0ms (1%)

localize105.0ms (1%)

series51.0ms (0.5%)

simplify213.0ms (2.1%)

rewrite266.0ms (2.7%)

eval463.0ms (4.6%)

prune115.0ms (1.1%)

regimes286.0ms (2.9%)

regimes118.0ms (1.2%)

regimes57.0ms (0.6%)

regimes48.0ms (0.5%)

regimes78.0ms (0.8%)

regimes28.0ms (0.3%)

regimes26.0ms (0.3%)

regimes19.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.3%)

soundness1.6s (16.3%)

preprocess394.0ms (3.9%)

end0.0ms (0%)

Profiling