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

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze78.0ms (0.9%)

Memory

7.2MiB live, 203.1MiB 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)

sample1.7s (20.1%)

Memory

-125.0MiB live, 1 400.1MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 772.0ms

ival-mult: 530.0ms (68.6% of total)

ival-div: 183.0ms (23.7% of total)

ival-add: 43.0ms (5.6% of total)

ival-true: 7.0ms (0.9% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain92.0ms (1.1%)

Memory

7.1MiB live, 206.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
16	0	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
9	1	(-0.026375907060067007 1.1543367930962245e+21 -2.0801030512028862e+151)	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`z`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	0	-	-	`(*.f64 z z)`
0	0	-	-	`y`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	16	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	10	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	72
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	66
↳	`(*.f64 z z)`	overflow	66

Confusion

	Predicted +	Predicted -
+	19	0
-	7	230

Precision

0.7307692307692307

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	7	0	230

Precision?

0.7307692307692307

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-div: 7.0ms (40.3% of total)

ival-mult: 7.0ms (40.3% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess342.0ms (4.1%)

Memory

12.2MiB live, 50.4MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.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)

simplify5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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

localize33.0ms (0.4%)

Memory

-31.6MiB live, 48.9MiB 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	0.7429608767517715	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.365214461720296	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

17.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 3.0ms (37.4% 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

26.3MiB live, 26.3MiB 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))
2.0ms	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	x	@	-inf	((+ 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))

simplify236.0ms (2.8%)

Memory

12.5MiB live, 163.2MiB 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)

rewrite215.0ms (2.6%)

Memory

-22.7MiB live, 138.0MiB 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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eval83.0ms (1%)

Memory: 23.8MiB live, 94.4MiB allocated
Compiler: Compiled 11 621 to 1 534 computations (86.8% saved)

prune43.0ms (0.5%)

Memory

-11.9MiB live, 39.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	517	15	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	518	15	533

Accuracy

96.3%

Counts

533 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(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))
	91.9%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	49.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	55.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	90.5%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
	42.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
▶	90.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
	91.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
▶	90.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
▶	94.9%	(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
	28.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.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)))
	49.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	50.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
▶	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 376 to 302 computations (19.7% saved)

simplify102.0ms (1.2%)

Memory

9.0MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	44	176
1	86	170
2	158	170
3	328	170
4	568	170
5	802	170
6	1021	170
7	1297	170
8	1722	170
9	2338	170
10	2554	170
11	2555	170
12	2555	170
13	2849	170
14	2981	170
15	2981	170
16	2981	170
0	2981	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize231.0ms (2.8%)

Memory

-3.3MiB live, 112.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.6739319678337982	(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
accuracy	0.7429608767517715	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	4.834113606475849	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(*.f64 z z)
accuracy	0.7429608767517715	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
accuracy	5.365214461720296	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
accuracy	29.041633485536124	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy	0.7429608767517715	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.211320249265341	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy	0	(*.f64 y x)
accuracy	0.6865875929088096	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	28.70792229307662	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.4800745006279197	(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy	5.383777254167246	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))

Samples

138.0ms

256×

valid

Compiler

Compiled 173 to 24 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 91.0ms (77.3% of total)

ival-mult: 21.0ms (17.8% of total)

ival-add: 6.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series109.0ms (1.3%)

Memory

16.2MiB live, 52.5MiB allocated

Counts

18 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
81.0ms	y	@	inf	((* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)) (/ -1 (* y (+ (* z z) 1))) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms	y	@	0	((* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)) (/ -1 (* y (+ (* z z) 1))) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms	y	@	-inf	((* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)) (/ -1 (* y (+ (* z z) 1))) (/ (/ 1 x) (* y (+ 1 (* z z)))))
2.0ms	x	@	-inf	((* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)) (/ -1 (* y (+ (* z z) 1))) (/ (/ 1 x) (* y (+ 1 (* z z)))))
2.0ms	x	@	0	((* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 (* y (+ (* z z) 1))) (/ -1 x)) (/ -1 (* y (+ (* z z) 1))) (/ (/ 1 x) (* y (+ 1 (* z z)))))

simplify261.0ms (3.1%)

Memory

-18.0MiB live, 308.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	4360
1	301	4348
2	834	4299
3	2974	4150
4	7353	4150
0	8286	3877

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 430

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

Outputs
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ (pow z 2) x) (/ 1 x))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 z x) (-.f64 z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(* 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
#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 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ (pow z 2) y) (/ 1 y))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(- (* (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 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) 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 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(* 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)
(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 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(* 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)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.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 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(/ -1 (* y (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) y))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) y) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) y) (/.f64 #s(literal 1 binary64) y)) (.f64 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))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) y))) (.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 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (.f64 z z))
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) 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))
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rewrite138.0ms (1.6%)

Memory

12.6MiB live, 244.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
0	44	132
1	168	132
2	1068	132
3	7255	132
0	8071	132

Stop Event

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

Counts

18 → 1 426

Calls

Call 1

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

Outputs
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eval380.0ms (4.5%)

Memory: -8.5MiB live, 577.2MiB allocated
Compiler: Compiled 41 821 to 3 716 computations (91.1% saved)

prune153.0ms (1.8%)

Memory

-5.0MiB live, 158.1MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	2 238	14	2 252
Fresh	7	3	10
Picked	3	2	5
Done	0	0	0
Total	2 248	19	2 267

Accuracy

99.2%

Counts

2 267 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	49.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	90.5%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (neg.f64 x))
	54.0%	(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(approx (+ 1 ( z z)) (*.f64 z z)) (neg.f64 x)))
	42.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
▶	90.8%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) x)
▶	95.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
▶	91.3%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
	91.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	94.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
▶	50.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
	52.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 x y)))
	54.9%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ (/ -1 x) (+ ( z z) 1)) (/.f64 #s(literal -1 binary64) x)))
	55.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	49.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	55.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
▶	55.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
	47.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 z z)))
✓	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 404 to 336 computations (16.8% saved)

simplify101.0ms (1.2%)

Memory

26.0MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	704	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))
cost-diff	-768	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) z y) x)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) 1) (*.f64 z z))
cost-diff	0	(.f64 y #s(approx (+ ( z z) 1) (*.f64 z z)))
cost-diff	0	(.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 x (.f64 z y))
cost-diff	320	(fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	191
0	54	194
1	102	182
2	173	180
3	363	180
4	627	180
5	878	180
6	1102	180
7	1452	180
8	1702	180
9	1992	180
10	2555	180
11	2671	180
12	2671	180
13	2671	180
14	2671	180
15	2671	180
0	2671	180

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (1.1%)

Memory

-4.4MiB live, 108.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.29300321848304894	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy	1.034189289059689	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))
accuracy	4.767707356475849	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) x)
accuracy	0	(*.f64 z y)
accuracy	0.046875	(fma.f64 (*.f64 z y) z y)
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
accuracy	5.211320249265341	(.f64 (fma.f64 (.f64 z y) z y) x)
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
accuracy	0.7429608767517715	(.f64 y #s(approx (+ ( z z) 1) (*.f64 z z)))
accuracy	5.211320249265341	(.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
accuracy	29.041633485536124	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 y)
accuracy	0.22265625	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy	28.70792229307662	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy	0	(*.f64 x y)
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
accuracy	0.5270472512426351	(fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y))
accuracy	5.328426579790643	(.f64 x (.f64 z y))

Samples

75.0ms

256×

valid

Compiler

Compiled 183 to 33 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 21.0ms (37.6% of total)

ival-add: 17.0ms (30.4% of total)

ival-mult: 16.0ms (28.6% of total)

ival-neg: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.8%)

Memory

-34.3MiB live, 71.5MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	((+ (* (* x (* z y)) z) (* x y)) (* x (* z y)) (* z y) (* x y) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (/ -1 y) (/ 1 (+ (* (* x (* z y)) z) (* x y))) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (* (/ -1 (+ (* z z) 1)) (/ -1 y)) x))
6.0ms	y	@	0	((+ (* (* x (* z y)) z) (* x y)) (* x (* z y)) (* z y) (* x y) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (/ -1 y) (/ 1 (+ (* (* x (* z y)) z) (* x y))) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (* (/ -1 (+ (* z z) 1)) (/ -1 y)) x))
5.0ms	y	@	-inf	((+ (* (* x (* z y)) z) (* x y)) (* x (* z y)) (* z y) (* x y) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (/ -1 y) (/ 1 (+ (* (* x (* z y)) z) (* x y))) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (* (/ -1 (+ (* z z) 1)) (/ -1 y)) x))
4.0ms	x	@	-inf	((+ (* (* x (* z y)) z) (* x y)) (* x (* z y)) (* z y) (* x y) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (/ -1 y) (/ 1 (+ (* (* x (* z y)) z) (* x y))) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (* (/ -1 (+ (* z z) 1)) (/ -1 y)) x))
3.0ms	x	@	0	((+ (* (* x (* z y)) z) (* x y)) (* x (* z y)) (* z y) (* x y) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (/ -1 y) (/ 1 (+ (* (* x (* z y)) z) (* x y))) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (* (/ -1 (+ (* z z) 1)) (/ -1 y)) x))

simplify200.0ms (2.4%)

Memory

4.2MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	5061
1	358	5048
2	1009	5000
3	3418	4906
4	7770	4906
0	8323	4600

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 550

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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)))
(* 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
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
-1
(- (pow z 2) 1)
(- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)
(- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1)
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 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 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/ -1 (pow z 2))
(/ (- (/ 1 (pow z 2)) 1) (pow z 2))
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2))
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (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))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 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 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/ -1 (pow z 2))
(/ (- (/ 1 (pow z 2)) 1) (pow z 2))
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2))
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (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))))
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Outputs
(* x y)
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(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
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(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
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rewrite199.0ms (2.4%)

Memory

35.0MiB live, 278.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	168
0	54	163
1	211	157
2	1402	157
0	8588	157

Stop Event

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

Counts

22 → 1 746

Calls

Call 1

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

Outputs
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eval340.0ms (4%)

Memory: -0.4MiB live, 535.9MiB allocated
Compiler: Compiled 44 221 to 3 407 computations (92.3% saved)

prune129.0ms (1.5%)

Memory

3.3MiB live, 204.6MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	2 316	12	2 328
Fresh	10	2	12
Picked	2	3	5
Done	0	2	2
Total	2 328	19	2 347

Accuracy

100.0%

Counts

2 347 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.9%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
✓	49.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	50.0%	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y)) x)
	91.7%	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z y))) x)
▶	55.0%	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 #s(literal 1 binary64) y)) x)
▶	98.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
▶	95.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) z) z (*.f64 x y)))
✓	91.3%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
	91.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
▶	54.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
✓	50.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
	52.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(approx (+ (* z z) 1) (*.f64 z z))))
	54.9%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ (/ -1 x) (+ ( z z) 1)) (/.f64 #s(literal -1 binary64) x)))
	49.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	91.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
	56.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 y) y) y)))
	22.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))))
✓	55.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 339 to 299 computations (11.8% saved)

simplify165.0ms (2%)

Memory

-24.3MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	226
0	51	226
1	82	218
2	126	214
3	208	214
4	313	214
5	482	214
6	858	214
7	1194	214
8	1509	214
9	2026	214
10	2805	214
11	3052	214
12	3086	214
13	3120	214
14	3146	214
15	3170	214
16	3202	214
17	3220	214
18	3284	214
19	3300	214
20	3300	214
21	3300	214
0	3300	202

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

5.7MiB live, 164.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.31644071848304894	(/.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	4.767707356475849	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y)) x)
accuracy	6.221220772047754	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y)
accuracy	29.080257478934875	#s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y))
accuracy	0	(*.f64 x y)
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) z) z (*.f64 x y)))
accuracy	0.5270472512426351	(fma.f64 (.f64 (.f64 y x) z) z (*.f64 x y))
accuracy	4.069573772550893	(.f64 (.f64 y x) z)
accuracy	0.30431969284466476	(.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y)
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
accuracy	5.201212995598964	(.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x)
accuracy	29.041633485536124	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	4.767707356475849	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	32.55144640450693	#s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 x y)
accuracy	0.3799104310584723	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
accuracy	0.5270472512426351	(fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y))
accuracy	3.4408496447715313	(.f64 (.f64 z x) y)

Samples

57.0ms

256×

valid

Compiler

Compiled 192 to 30 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 18.0ms (44.8% of total)

ival-mult: 18.0ms (44.8% of total)

ival-add: 3.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.7%)

Memory

7.6MiB live, 85.4MiB allocated

Counts

21 → 576

Calls

Call 1

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

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

Calls

9 calls:

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

simplify181.0ms (2.2%)

Memory

5.6MiB live, 203.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	5320
1	296	5306
2	810	5273
3	2800	5168
4	6486	5158
0	8076	4873

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 575

Calls

Call 1

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

Outputs
(* 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)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(fma.f64 (/.f64 z y) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (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))))
(* 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)
x
(+ x (* x (pow z 2)))
(fma.f64 (*.f64 z x) z x)
(+ x (* x (pow z 2)))
(fma.f64 (*.f64 z x) z x)
(+ x (* x (pow z 2)))
(fma.f64 (*.f64 z x) z 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))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 y x)
(+ (* 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)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(fma.f64 (/.f64 z y) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (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 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(* 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)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) 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 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) y))) (*.f64 z z))
(* x (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) 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)
(* x (pow z 2))
(.f64 (.f64 z x) z)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 (*.f64 z x) z x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 (*.f64 z x) z x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 (*.f64 z x) z 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))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x (* y (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)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(* x (* y z))
(.f64 (.f64 z y) x)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) 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 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) y))) (*.f64 z z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) 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 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) 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 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
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rewrite177.0ms (2.1%)

Memory

16.0MiB live, 247.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	201
0	51	193
1	184	185
2	906	181
3	7373	181
0	8322	169

Stop Event

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

Counts

21 → 726

Calls

Call 1

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

Outputs
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eval171.0ms (2%)

Memory: -2.8MiB live, 336.8MiB allocated
Compiler: Compiled 25 372 to 1 758 computations (93.1% saved)

prune116.0ms (1.4%)

Memory

6.2MiB live, 125.2MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	1 366	4	1 370
Fresh	2	7	9
Picked	0	5	5
Done	0	5	5
Total	1 368	21	1 389

Accuracy

100.0%

Counts

1 389 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
✓	50.0%	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y)) x)
	50.9%	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) z))) x)
✓	55.0%	(/.f64 #s(approx (* (/ -1 (+ (* z z) 1)) (/ -1 y)) (/.f64 #s(literal 1 binary64) y)) x)
✓	98.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
✓	95.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) z) z (*.f64 x y)))
✓	91.3%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
	91.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
✓	54.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
✓	50.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
	52.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(approx (+ (* z z) 1) (*.f64 z z))))
	58.9%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y))
	32.9%	(-.f64 (/.f64 (.f64 (.f64 y (.f64 x z)) z) (-.f64 (pow.f64 (.f64 (.f64 y (.f64 x z)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 y x) (-.f64 (pow.f64 (.f64 (.f64 y (.f64 x z)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
	54.9%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ (/ -1 x) (+ ( z z) 1)) (/.f64 #s(literal -1 binary64) x)))
	52.0%	(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(approx (+ ( z z) 1) (*.f64 z z))))
	49.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	91.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
	56.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 y) y) y)))
	22.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))))
✓	55.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 790 to 364 computations (53.9% saved)

regimes187.0ms (2.2%)

Memory

4.1MiB live, 300.0MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

8 calls:

52.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
38.0ms	y
31.0ms	z
15.0ms	(*.f64 z z)
14.0ms	x

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes83.0ms (1%)

Memory

-35.2MiB live, 84.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

8 calls:

32.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
8.0ms	(*.f64 z z)
6.0ms	y
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	x

Results

Accuracy	Segments	Branch
95.8%	1	`x`
98.7%	2	`y`
99.0%	2	`z`
98.2%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
95.8%	1	`(/.f64 #s(literal 1 binary64) x)`
99.0%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.0%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes17.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`z`
98.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.0%	2	`(*.f64 z z)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

-3.4MiB live, 34.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.9%	2	`z`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	2	`(*.f64 z z)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes20.0ms (0.2%)

Memory

0.7MiB live, 38.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

7 calls:

5.0ms	y
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	z
3.0ms	x
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
63.4%	3	`x`
63.4%	3	`(/.f64 #s(literal 1 binary64) x)`
75.2%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
60.2%	3	`y`
90.2%	2	`z`
90.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.2%	2	`(*.f64 z z)`

Compiler

Compiled 25 to 33 computations (-32% saved)

regimes21.0ms (0.2%)

Memory

12.7MiB live, 49.9MiB allocated

Accuracy

Total -4.4b remaining (-15.2%)

Threshold costs -4.4b (-15.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
55.1%	1	`y`
55.1%	1	`x`
55.1%	1	`(/.f64 #s(literal 1 binary64) x)`
55.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
55.1%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
55.1%	1	`z`
55.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
55.1%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0359625043071696e+212	6.072910312746024e+218

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1698402451250704e-8	8800.210620078882

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1698402451250704e-8	8800.210620078882

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1698402451250704e-8	8800.210620078882

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify27.0ms (0.3%)

Memory

-31.2MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	187
1	64	187
2	66	187
3	67	187

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) y) z (*.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 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 (.f64 z x) y) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 z x) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* (+ (* z z) 1) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 944473296573929/18889465931478580854784 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 944473296573929/18889465931478580854784 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 (*.f64 z z) y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.2s (14.5%)

Memory

27.5MiB live, 892.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	168
0	54	163
1	211	157
2	1402	157
0	8588	157
0	109	4360
1	301	4348
2	834	4299
3	2974	4150
4	7353	4150
0	8286	3877
0	28	140
0	44	132
1	168	132
2	1068	132
3	7255	132
0	8071	132
0	100	5320
1	296	5306
2	810	5273
3	2800	5168
4	6486	5158
0	8076	4873
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

Stop Event

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

Compiler

Compiled 538 to 283 computations (47.4% saved)

preprocess527.0ms (6.3%)

Memory: -19.2MiB live, 584.8MiB allocated
Remove: (abs z)
Compiler: Compiled 1 100 to 610 computations (44.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze78.0ms (0.9%)

sample1.7s (20.1%)

explain92.0ms (1.1%)

preprocess342.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize33.0ms (0.4%)

series12.0ms (0.1%)

simplify236.0ms (2.8%)

rewrite215.0ms (2.6%)

eval83.0ms (1%)

prune43.0ms (0.5%)

simplify102.0ms (1.2%)

localize231.0ms (2.8%)

series109.0ms (1.3%)

simplify261.0ms (3.1%)

rewrite138.0ms (1.6%)

eval380.0ms (4.5%)

prune153.0ms (1.8%)

simplify101.0ms (1.2%)

localize94.0ms (1.1%)

series67.0ms (0.8%)

simplify200.0ms (2.4%)

rewrite199.0ms (2.4%)

eval340.0ms (4%)

prune129.0ms (1.5%)

simplify165.0ms (2%)

localize77.0ms (0.9%)

series56.0ms (0.7%)

simplify181.0ms (2.2%)

rewrite177.0ms (2.1%)

eval171.0ms (2%)

prune116.0ms (1.4%)

regimes187.0ms (2.2%)

regimes83.0ms (1%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness1.2s (14.5%)

preprocess527.0ms (6.3%)

end0.0ms (0%)

Profiling