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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze67.0ms (0.6%)

Memory

-25.6MiB live, 128.3MiB 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)

sample1.3s (12.4%)

Memory

68.0MiB live, 1 504.7MiB allocated

Samples

919.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-div: 228.0ms (58% of total)

ival-mult: 104.0ms (26.4% of total)

ival-add: 48.0ms (12.2% of total)

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

exact: 5.0ms (1.3% of total)

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

Bogosity

explain136.0ms (1.3%)

Memory

-18.2MiB live, 159.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	23	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	9	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	61
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	68
↳	`(*.f64 z z)`	overflow	68

Confusion

	Predicted +	Predicted -
+	22	0
-	10	224

Precision

0.6875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	0
-	10	0	224

Precision?

0.6875

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (38.6% of total)

ival-mult: 7.0ms (38.6% of total)

ival-add: 3.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess334.0ms (3.3%)

Memory

1.7MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 390×	`unsub-neg`
1 032×	`distribute-lft-in`
930×	`distribute-rgt-in`
594×	`div-sub`
550×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(/.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)

simplify31.0ms (0.3%)

Memory

-31.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

142×	`lower-*.f32`
138×	`lower-*.f64`
72×	`associate-r`
70×	`lower-fma.f64`
70×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.3%)

Memory

32.1MiB live, 67.9MiB 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	0.9812611797746988	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.214418840063003	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

28.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-mult: 12.0ms (70.2% of total)

ival-div: 4.0ms (23.4% of total)

ival-add: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-1.2MiB live, 33.4MiB 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
4.0ms	y	@	inf	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
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	z	@	0	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))

simplify203.0ms (2%)

Memory

18.0MiB live, 202.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite260.0ms (2.5%)

Memory

-31.3MiB live, 363.6MiB allocated

Rules

4 616×	`lower-/.f32`
4 612×	`lower-/.f64`
4 020×	`lower-*.f32`
4 016×	`lower-*.f64`
3 572×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26

Stop Event

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

Counts

5 → 437

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -3 binary64)) (.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y (*.f64 z z)) y))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (.f64 y y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y)))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 y y) (pow.f64 (.f64 y (*.f64 z z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 y y) (pow.f64 (.f64 y (*.f64 z z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 (*.f64 y z) z y)
(fma.f64 (.f64 y (.f64 z z)) #s(literal 1 binary64) y)
(fma.f64 y (*.f64 z z) y)
(fma.f64 y #s(literal 1 binary64) (.f64 y (.f64 z z)))
(fma.f64 (*.f64 z z) y y)
(fma.f64 z (*.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z z)) y)
(fma.f64 #s(literal 1 binary64) y (.f64 y (.f64 z z)))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (-.f64 (.f64 y (.f64 z z)) y)) (/.f64 (.f64 y y) (-.f64 (.f64 y (*.f64 z z)) y)))
(-.f64 (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(-.f64 (/.f64 (.f64 (.f64 y z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(-.f64 y (/.f64 (.f64 y (.f64 z z)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (.f64 (.f64 y z) (neg.f64 z))))
(+.f64 (.f64 y (.f64 z z)) y)
(+.f64 y (.f64 y (.f64 z z)))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(.f64 #s(literal 1 binary64) (.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval330.0ms (3.2%)

Memory: 9.7MiB live, 120.3MiB allocated
Compiler: Compiled 11 621 to 1 534 computations (86.8% saved)

prune56.0ms (0.5%)

Memory

-23.1MiB live, 56.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

94.6%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.9%	(/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
▶	90.2%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	92.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
▶	90.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	91.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	58.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	90.4%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
	40.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
▶	90.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	90.2%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
	35.1%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))
	90.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	50.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
▶	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 414 to 322 computations (22.2% saved)

simplify94.0ms (0.9%)

Memory

39.0MiB live, 75.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 z z))
cost-diff	5760	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
cost-diff	6464	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	512	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(/.f64 #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	512	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))

Rules

1 272×	`lower-fma.f32`
1 270×	`lower-fma.f64`
992×	`lower-*.f32`
982×	`lower-*.f64`
452×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	51	166
1	105	164
2	244	160
3	608	160
4	1016	160
5	1312	160
6	1680	160
7	2140	160
8	2625	160
9	2727	160
10	2827	160
11	2919	160
12	2919	160
13	2919	160
0	2919	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize173.0ms (1.7%)

Memory

-17.4MiB live, 178.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.46322250976844204	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.9812611797746988	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.214418840063003	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.25	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	5.679888867689074	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.4176717290623721	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy	5.537020764812203	(.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.21947141277019575	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	26.20734445985598	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 y)
accuracy	0.950112425988883	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	8.601810580029174	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))

Samples

143.0ms

256×

valid

Compiler

Compiled 176 to 30 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 56.0ms (65.3% of total)

ival-div: 16.0ms (18.6% of total)

ival-pow: 6.0ms (7% of total)

ival-pow2: 3.0ms (3.5% of total)

ival-add: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

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

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

series65.0ms (0.6%)

Memory

-3.8MiB live, 95.0MiB allocated

Counts

20 → 456

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (pow (pow x -1/2) 2) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (+ 1 (* z z)) (pow x -1/2) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (* y (+ 1 (* z z))) (* z z))
10.0ms	x	@	-inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (pow (pow x -1/2) 2) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (+ 1 (* z z)) (pow x -1/2) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (* y (+ 1 (* z z))) (* z z))
3.0ms	y	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (pow (pow x -1/2) 2) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (+ 1 (* z z)) (pow x -1/2) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (* y (+ 1 (* z z))) (* z z))
3.0ms	x	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (pow (pow x -1/2) 2) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (+ 1 (* z z)) (pow x -1/2) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (* y (+ 1 (* z z))) (* z z))
2.0ms	y	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (pow (pow x -1/2) 2) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (+ 1 (* z z)) (pow x -1/2) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (* y (+ 1 (* z z))) (* z z))

simplify180.0ms (1.8%)

Memory

-5.0MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 512×	`lower-fma.f64`
14 512×	`lower-fma.f32`
4 724×	`lower-*.f64`
4 724×	`lower-*.f32`
2 350×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	4357
1	283	4235
2	847	4142
3	3693	3975
0	8285	3762

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

Calls

Call 1

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

rewrite309.0ms (3%)

Memory

-5.5MiB live, 342.6MiB allocated

Rules

5 206×	`lower-*.f32`
5 196×	`lower-*.f64`
4 500×	`lower-/.f32`
4 484×	`lower-/.f64`
3 446×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	134
0	51	127
1	192	123
2	1225	123
0	8345	123

Stop Event

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

Counts

20 → 2 116

Calls

Call 1

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

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

eval868.0ms (8.5%)

Memory: -92.7MiB live, 935.8MiB allocated
Compiler: Compiled 57 793 to 4 946 computations (91.4% saved)

prune73.0ms (0.7%)

Memory

-7.1MiB live, 271.7MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	2 986	10	2 996
Fresh	8	3	11
Picked	4	1	5
Done	0	0	0
Total	2 998	14	3 012

Accuracy

99.6%

Counts

3 012 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	90.9%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))
▶	52.7%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
	58.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
▶	95.0%	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)))
	51.4%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) #s(approx (+ (* z z) 1) (*.f64 z z))))
	56.3%	(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (.f64 (.f64 (neg.f64 x) z) (*.f64 z y))))
▶	50.5%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
▶	58.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
	32.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
✓	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	53.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 y y))) y))

Compiler

Compiled 296 to 251 computations (15.2% saved)

simplify326.0ms (3.2%)

Memory

-23.6MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z z) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
cost-diff	0	#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x)))
cost-diff	0	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
cost-diff	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	5376	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(.f64 (.f64 (*.f64 z z) y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
cost-diff	0	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) z)
cost-diff	448	(fma.f64 (.f64 (.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))

Rules

2 472×	`lower-fma.f32`
2 470×	`lower-fma.f64`
2 192×	`lower-*.f32`
2 178×	`lower-*.f64`
1 390×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	228
0	60	228
1	114	226
2	222	220
3	524	218
4	1099	218
5	1833	218
6	2557	218
7	4266	218
8	5436	218
9	5575	218
10	5626	218
11	5654	218
12	5658	218
13	6474	218
14	6770	218
15	6770	218
16	6771	218
17	6848	218
18	7076	218
19	7076	218
20	7076	218
21	7076	218
0	7076	210

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (1%)

Memory

44.2MiB live, 355.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5205207147339765	(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
accuracy	0.950112425988883	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))) (neg.f64 y))
accuracy	9.037096986965548	(.f64 (.f64 z z) x)
accuracy	29.668770290700195	#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x)))
accuracy	0	(*.f64 z z)
accuracy	0.9812611797746988	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
accuracy	5.214418840063003	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
accuracy	30.06421458997083	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0.47553064631607056	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
accuracy	5.360833231368455	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	6.222036536483767	(.f64 (.f64 z z) y)
accuracy	25.746836702940694	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.19921875	(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy	26.20734445985598	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
accuracy	0	(neg.f64 y)
accuracy	0.3581628042679383	(fma.f64 (.f64 (.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))
accuracy	0.4176717290623721	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)))
accuracy	4.020824665814657	(.f64 (.f64 (neg.f64 y) x) z)

Samples

80.0ms

256×

valid

Compiler

Compiled 187 to 34 computations (81.8% saved)

Precisions

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

ival-div: 19.0ms (31.1% of total)

ival-mult: 19.0ms (31.1% of total)

ival-pow: 12.0ms (19.7% of total)

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

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

ival-pow2: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

-20.8MiB live, 216.0MiB allocated

Counts

21 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))))
5.0ms	y	@	-inf	((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))))
5.0ms	y	@	0	((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))))
5.0ms	x	@	0	((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))))
4.0ms	x	@	-inf	((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 (* (* z z) x)) (* (* z z) x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))))

simplify173.0ms (1.7%)

Memory

13.2MiB live, 424.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 538×	`lower-fma.f64`
13 538×	`lower-fma.f32`
4 524×	`lower-*.f64`
4 524×	`lower-*.f32`
2 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	5071
1	331	5060
2	907	4990
3	3381	4843
4	7219	4833
0	8103	4648

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

Calls

Call 1

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

rewrite168.0ms (1.6%)

Memory

-4.3MiB live, 516.1MiB allocated

Rules

6 180×	`lower-fma.f32`
6 178×	`lower-fma.f64`
5 322×	`lower-*.f32`
5 308×	`lower-*.f64`
3 304×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	198
0	60	196
1	228	194
2	1373	181
0	8294	173

Stop Event

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

Counts

21 → 770

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))))))
(.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (pow.f64 (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)
(.f64 (.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z (.f64 x (neg.f64 y))) z) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))))))
(.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) (*.f64 x y))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) x)
(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x (neg.f64 y)))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) (.f64 z z))))
(.f64 (neg.f64 x) (.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(.f64 (.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) (.f64 z z))) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64)))
(.f64 x (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y))
(.f64 (neg.f64 y) (.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(.f64 y (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (.f64 (neg.f64 x) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 x (neg.f64 y))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 x (neg.f64 y))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))) (.f64 (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (neg.f64 x) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (neg.f64 (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z (.f64 x (neg.f64 y))) z) (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 x (neg.f64 y))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 x (neg.f64 y))) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z (.f64 x (neg.f64 y))) z) (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 x (neg.f64 y))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 z z)) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z (.f64 x (neg.f64 y))) z) (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)))) (fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y))
(/.f64 (.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(fma.f64 (.f64 (.f64 (.f64 z (neg.f64 y)) z) #s(literal -1 binary64)) (neg.f64 x) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 (neg.f64 x) (.f64 z y)) z (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 z #s(literal -1 binary64)) (.f64 (.f64 z x) y) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -1 binary64)) x (.f64 x (neg.f64 y)))
(fma.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 z (neg.f64 y)) (.f64 z x) (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 (neg.f64 z) x) (.f64 z y) (*.f64 x (neg.f64 y)))
(fma.f64 (neg.f64 z) (.f64 (.f64 z x) y) (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 (neg.f64 z) z) (.f64 x y) (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 (.f64 z (neg.f64 y)) z) x (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 z x) (.f64 z (neg.f64 y)) (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 x y) (.f64 (neg.f64 z) z) (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 x y) #s(literal -1 binary64) (.f64 (.f64 z (.f64 x (neg.f64 y))) z))
(fma.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 z (neg.f64 y)) z y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)))))
(fma.f64 (.f64 (.f64 (neg.f64 z) x) z) y (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) y) (.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) (.f64 z z))))
(fma.f64 (.f64 (.f64 z (.f64 x (neg.f64 y))) z) #s(literal 1 binary64) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 (.f64 z z) x) (neg.f64 y) (*.f64 x (neg.f64 y)))
(fma.f64 (.f64 (.f64 (.f64 z z) y) x) #s(literal -1 binary64) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 (.f64 z z) y) (neg.f64 x) (*.f64 x (neg.f64 y)))
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eval183.0ms (1.8%)

Memory: -17.4MiB live, 772.2MiB allocated
Compiler: Compiled 21 754 to 2 454 computations (88.7% saved)

prune67.0ms (0.7%)

Memory

-4.7MiB live, 297.2MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 473	9	1 482
Fresh	3	5	8
Picked	3	2	5
Done	0	1	1
Total	1 479	17	1 496

Accuracy

100.0%

Counts

1 496 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	90.9%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))
	50.2%	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ 1 ( z z)) (*.f64 z z)) y)) (neg.f64 x))
▶	58.4%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x))) (neg.f64 y))
	58.1%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))) (neg.f64 y))
	58.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
	53.0%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	59.1%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z)))
▶	56.3%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
	56.0%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z y)) z)))
	56.4%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (.f64 (pow.f64 (.f64 z x) #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
	56.4%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (/.f64 (/.f64 #s(literal -1 binary64) x) z)))
▶	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	58.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
	32.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
✓	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
▶	53.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 y y))) y))

Compiler

Compiled 339 to 294 computations (13.3% saved)

simplify99.0ms (1%)

Memory

0.1MiB live, 196.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x)))
cost-diff	0	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x))) (neg.f64 y))
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 y y))) y))
cost-diff	1024	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 y y))) y)
cost-diff	0	(*.f64 z x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) (*.f64 z x))
cost-diff	0	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))

Rules

4 366×	`lower-fma.f32`
4 362×	`lower-fma.f64`
3 714×	`lower-*.f32`
3 700×	`lower-*.f64`
1 618×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	232
0	64	229
1	127	225
2	280	215
3	803	215
4	2287	215
5	3975	215
6	6936	215
7	7822	215
0	8391	215

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1%)

Memory

5.0MiB live, 324.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.18197250976844204	(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x))
accuracy	0.950112425988883	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x))) (neg.f64 y))
accuracy	29.668770290700195	#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x)))
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	9.697562324935221	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y)))
accuracy	12.163286362163104	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 y y))) y)
accuracy	26.20734445985598	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 y y))) y))
accuracy	0	(*.f64 z x)
accuracy	0.47553064631607056	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))
accuracy	4.213835066468732	(.f64 (.f64 z y) (*.f64 z x))
accuracy	25.746836702940694	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	6.0516832951520305	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
accuracy	30.627527504874383	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.398887681662701	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.794270497569252	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))

Samples

76.0ms

256×

valid

Compiler

Compiled 194 to 39 computations (79.9% saved)

Precisions

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

ival-div: 20.0ms (36.9% of total)

ival-mult: 18.0ms (33.2% of total)

ival-pow: 6.0ms (11.1% of total)

ival-add: 4.0ms (7.4% of total)

ival-neg: 3.0ms (5.5% of total)

ival-pow2: 3.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series261.0ms (2.5%)

Memory

-22.4MiB live, 179.1MiB allocated

Counts

24 → 576

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
85.0ms	x	@	-inf	((/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (* (* z y) (* z x)) (* z y) (* z x) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 z) (neg y) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (* z y) (* z x))) (/ (/ -1 x) (neg (* y y))) (/ (/ -1 z) (* z x)))
42.0ms	y	@	0	((/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (* (* z y) (* z x)) (* z y) (* z x) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 z) (neg y) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (* z y) (* z x))) (/ (/ -1 x) (neg (* y y))) (/ (/ -1 z) (* z x)))
20.0ms	y	@	-inf	((/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (* (* z y) (* z x)) (* z y) (* z x) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 z) (neg y) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (* z y) (* z x))) (/ (/ -1 x) (neg (* y y))) (/ (/ -1 z) (* z x)))
4.0ms	z	@	inf	((/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (* (* z y) (* z x)) (* z y) (* z x) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 z) (neg y) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (* z y) (* z x))) (/ (/ -1 x) (neg (* y y))) (/ (/ -1 z) (* z x)))
4.0ms	x	@	0	((/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (* (* z y) (* z x)) (* z y) (* z x) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 z) (neg y) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (* z y) (* z x))) (/ (/ -1 x) (neg (* y y))) (/ (/ -1 z) (* z x)))

simplify396.0ms (3.9%)

Memory

12.0MiB live, 285.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 564×	`lower-fma.f64`
12 564×	`lower-fma.f32`
4 316×	`lower-*.f64`
4 316×	`lower-*.f32`
2 572×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	5232
1	304	5178
2	840	4930
3	3025	4750
4	6763	4750
0	8265	4605

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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

rewrite360.0ms (3.5%)

Memory

19.1MiB live, 303.3MiB allocated

Rules

4 208×	`lower-*.f32`
4 194×	`lower-*.f64`
4 072×	`lower-fma.f32`
4 068×	`lower-fma.f64`
2 918×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	204
0	64	198
1	247	194
2	1599	182
0	8797	182

Stop Event

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

Counts

24 → 1 031

Calls

Call 1

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

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

eval503.0ms (4.9%)

Memory: -5.5MiB live, 458.6MiB allocated
Compiler: Compiled 25 189 to 3 246 computations (87.1% saved)

prune76.0ms (0.7%)

Memory

-11.1MiB live, 158.7MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 674	4	1 678
Fresh	3	6	9
Picked	3	2	5
Done	0	3	3
Total	1 680	15	1 695

Accuracy

100.0%

Counts

1 695 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	51.4%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (.f64 z z))) (.f64 (neg.f64 y) x))
	58.1%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z x) z))) (neg.f64 y))
	58.9%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
	56.4%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (.f64 (neg.f64 z) y) x)))
	53.0%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	59.1%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z)))
✓	56.3%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
	56.0%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z y)) z)))
	56.4%	#s(approx (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (/.f64 (/.f64 #s(literal -1 binary64) x) z)))
✓	55.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	58.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
	53.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x)))
✓	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	53.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)) y))

Compiler

Compiled 613 to 283 computations (53.8% saved)

regimes310.0ms (3%)

Memory

-0.7MiB live, 681.3MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

95.0ms	y
58.0ms	x
41.0ms	z
37.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
24.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
95.0%	1	`x`
97.7%	2	`y`
99.3%	2	`z`
97.5%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
95.0%	1	`(/.f64 #s(literal 1 binary64) x)`
99.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.3%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes58.0ms (0.6%)

Memory

28.8MiB live, 68.2MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

1 calls:

57.0ms

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

Results

Accuracy	Segments	Branch
99.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes94.0ms (0.9%)

Memory

-3.7MiB live, 155.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	z
31.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
21.0ms	(*.f64 z z)
7.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.9%	2	`z`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	2	`(*.f64 z z)`
97.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes473.0ms (4.6%)

Memory

-25.1MiB live, 535.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

8 calls:

134.0ms	x
125.0ms	y
123.0ms	(/.f64 #s(literal 1 binary64) x)
28.0ms	z
26.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
76.0%	10	`x`
76.0%	10	`(/.f64 #s(literal 1 binary64) x)`
83.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
82.4%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
70.0%	6	`y`
96.1%	2	`z`
96.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
96.1%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes42.0ms (0.4%)

Memory

23.0MiB live, 61.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(*.f64 z z)
11.0ms	z
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
95.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
95.8%	2	`(*.f64 z z)`
95.8%	2	`z`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes62.0ms (0.6%)

Memory

-25.7MiB live, 55.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

3 calls:

33.0ms	(*.f64 z z)
24.0ms	z
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
90.3%	2	`z`
90.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.3%	2	`(*.f64 z z)`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes67.0ms (0.7%)

Memory

14.5MiB live, 92.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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 y (.f64 (.f64 y y) x)))

Calls

5 calls:

25.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
21.0ms	(*.f64 z z)
9.0ms	z
5.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
70.3%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
70.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
70.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
70.3%	2	`(*.f64 z z)`
70.3%	2	`z`

Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes36.0ms (0.3%)

Memory

10.2MiB live, 49.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

20.0ms	(*.f64 z z)
7.0ms	z
4.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
70.3%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
70.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
70.2%	2	`(*.f64 z z)`
70.2%	2	`z`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes53.0ms (0.5%)

Memory

-17.0MiB live, 64.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
19.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
6.0ms	z
5.0ms	(*.f64 z z)
4.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Results

Accuracy	Segments	Branch
70.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
70.1%	2	`(*.f64 z z)`
70.1%	2	`z`
70.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
70.2%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`

Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes27.0ms (0.3%)

Memory

10.0MiB live, 49.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	y
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	z
3.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
58.8%	1	`(/.f64 #s(literal 1 binary64) x)`
58.8%	1	`x`
58.8%	1	`y`
58.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
58.8%	1	`(*.f64 z z)`
58.8%	1	`z`
58.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
58.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0718938669794792e+308	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0718938669794792e+308	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6633020270396307e-10	2.86276158983449e-9

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch34.0ms (0.3%)

Memory

-19.2MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2896906710679235e-5	5.3504780999780664e-5

Samples

5.0ms

96×

valid

Compiler

Compiled 134 to 135 computations (-0.7% saved)

Precisions

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

ival-div: 1.0ms (33% of total)

ival-mult: 1.0ms (33% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2896906710679235e-5	5.3504780999780664e-5

Compiler

Compiled 134 to 135 computations (-0.7% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2896906710679235e-5	5.3504780999780664e-5

Compiler

Compiled 134 to 135 computations (-0.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2896906710679235e-5	5.3504780999780664e-5

Compiler

Compiled 122 to 123 computations (-0.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.84e-319

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.84e-319

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify63.0ms (0.6%)

Memory

20.8MiB live, 63.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`-commutative-binary64-.f64`
22×	`+-commutative-binary64-+.f64`
20×	`neg-sub0-binary64--.f64-neg.f64`
20×	`neg-mul-1-binary64-*.f64-neg.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	441
1	100	441
2	112	441
3	129	441
4	146	441
5	155	441
6	160	441
7	161	441

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z))))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 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 (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z y)) z))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 z #s(literal 3910709743626425/73786976294838206464 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 y (.f64 (.f64 y y) x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z))))
(if (<=.f64 (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) y) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (neg.f64 x)) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z))))
(if (<=.f64 (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) y) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 z y) z y)) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z))))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 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 (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) y) z))))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z)))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z y)) z))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) #s(approx (/ (pow (pow x -1/2) 2) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z y) x) z))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 z #s(literal 3910709743626425/73786976294838206464 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 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 y (.f64 (.f64 y y) x))))
(if (<=.f64 z #s(literal 3910709743626425/73786976294838206464 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (.f64 (.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

soundness1.2s (11.7%)

Memory

19.4MiB live, 922.3MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
14 512×	`lower-fma.f64`
14 512×	`lower-fma.f32`
6 180×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	4357
1	283	4235
2	847	4142
3	3693	3975
0	8285	3762
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26
0	32	134
0	51	127
1	192	123
2	1225	123
0	8345	123
0	43	204
0	64	198
1	247	194
2	1599	182
0	8797	182
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693
0	40	198
0	60	196
1	228	194
2	1373	181
0	8294	173

Stop Event

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

Compiler

Compiled 643 to 389 computations (39.5% saved)

preprocess370.0ms (3.6%)

Memory: -5.5MiB live, 638.6MiB allocated
Remove: (abs z)
Compiler: Compiled 1 344 to 690 computations (48.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze67.0ms (0.6%)

sample1.3s (12.4%)

explain136.0ms (1.3%)

preprocess334.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.3%)

localize35.0ms (0.3%)

series15.0ms (0.1%)

simplify203.0ms (2%)

rewrite260.0ms (2.5%)

eval330.0ms (3.2%)

prune56.0ms (0.5%)

simplify94.0ms (0.9%)

localize173.0ms (1.7%)

series65.0ms (0.6%)

simplify180.0ms (1.8%)

rewrite309.0ms (3%)

eval868.0ms (8.5%)

prune73.0ms (0.7%)

simplify326.0ms (3.2%)

localize101.0ms (1%)

series54.0ms (0.5%)

simplify173.0ms (1.7%)

rewrite168.0ms (1.6%)

eval183.0ms (1.8%)

prune67.0ms (0.7%)

simplify99.0ms (1%)

localize100.0ms (1%)

series261.0ms (2.5%)

simplify396.0ms (3.9%)

rewrite360.0ms (3.5%)

eval503.0ms (4.9%)

prune76.0ms (0.7%)

regimes310.0ms (3%)

regimes58.0ms (0.6%)

regimes94.0ms (0.9%)

regimes473.0ms (4.6%)

regimes42.0ms (0.4%)

regimes62.0ms (0.6%)

regimes67.0ms (0.7%)

regimes36.0ms (0.3%)

regimes53.0ms (0.5%)

regimes27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch34.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify63.0ms (0.6%)

soundness1.2s (11.7%)

preprocess370.0ms (3.6%)

end0.0ms (0%)

Profiling