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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze79.0ms (0.7%)

Memory

19.9MiB live, 110.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (11.5%)

Memory

12.0MiB live, 1 629.1MiB allocated

Samples

664.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

ival-div: 222.0ms (55.5% of total)

ival-mult: 120.0ms (30% of total)

ival-add: 42.0ms (10.5% of total)

ival-true: 7.0ms (1.8% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain220.0ms (2.1%)

Memory

14.7MiB live, 173.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	1	(-3.6002433948169507e-50 9.45990907321398e+23 6.563495495427135e+170)	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
11	-	0	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	0	-	`z`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	16	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	73
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	67
↳	`(*.f64 z z)`	overflow	67
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	11	0

Confusion

	Predicted +	Predicted -
+	22	1
-	5	228

Precision

0.8148148148148148

Recall

0.9565217391304348

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	1
-	5	0	228

Precision?

0.8148148148148148

Recall?

0.9565217391304348

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 114 to 49 computations (57% saved)

Precisions

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

ival-div: 7.0ms (38.9% of total)

ival-mult: 7.0ms (38.9% of total)

ival-add: 3.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess347.0ms (3.2%)

Memory

10.6MiB live, 81.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(/.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)

simplify26.0ms (0.2%)

Memory

-49.6MiB live, 4.3MiB 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

localize23.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB 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	0.9256923920981596	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.859360050413827	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

16.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 3.0ms (36.6% of total)

ival-mult: 3.0ms (36.6% of total)

ival-add: 1.0ms (12.2% 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

-2.1MiB live, 36.0MiB 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
3.0ms	z	@	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	x	@	-inf	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))

simplify222.0ms (2.1%)

Memory

-6.7MiB live, 184.1MiB 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)

rewrite259.0ms (2.4%)

Memory

-12.2MiB live, 264.0MiB 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 (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)))

eval145.0ms (1.4%)

Memory: 11.9MiB live, 165.4MiB allocated
Compiler: Compiled 11 621 to 1 534 computations (86.8% saved)

prune185.0ms (1.7%)

Memory

7.8MiB live, 198.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

95.8%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	89.2%	(/.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))))
▶	94.0%	(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
	94.0%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	47.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	56.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
▶	89.4%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
	35.5%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
	89.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
	92.6%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	89.2%	(.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)))))
	92.5%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	48.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
▶	56.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 376 to 312 computations (17% saved)

simplify119.0ms (1.1%)

Memory

-6.0MiB live, 76.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
cost-diff	0	(pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64))
cost-diff	6080	(pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
cost-diff	0	(.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
cost-diff	-384	(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	0	(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)

Rules

1 368×	`lower-fma.f32`
1 366×	`lower-fma.f64`
1 088×	`lower-*.f32`
1 078×	`lower-*.f64`
690×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	178
0	46	171
1	92	171
2	194	171
3	484	171
4	801	171
5	1051	171
6	1472	171
7	1751	171
8	2382	171
9	2695	171
10	2937	171
11	2946	171
12	2952	171
13	2953	171
14	2973	171
15	2981	171
16	2981	171
17	2981	171
0	2981	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.1%)

Memory

25.6MiB live, 180.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.31087875976844204	(pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.9256923920981596	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.645199264283542	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy	17.075701403932072	(pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.41533038473316797	(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
accuracy	0.9256923920981596	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.5439644954745795	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.9256923920981596	(.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))
accuracy	5.859360050413827	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
accuracy	32.205899168295616	#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.4805017679379173	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	27.78690293046299	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.28054167709305516	(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	0.48764531527635474	(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
accuracy	5.193795833821472	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

90.0ms

256×

valid

Compiler

Compiled 181 to 27 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-pow: 42.0ms (58.3% of total)

ival-mult: 11.0ms (15.3% of total)

ival-div: 10.0ms (13.9% of total)

ival-pow2: 5.0ms (6.9% of total)

ival-add: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series300.0ms (2.8%)

Memory

16.2MiB live, 89.8MiB allocated

Counts

18 → 468

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) 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 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) 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 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) (patch (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) (patch (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) (patch (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) (patch (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow z 2) y) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<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 (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (* x y))) (taylor 0 z) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2)))) (taylor 0 z) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2)))))) (taylor 0 z) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y))))))))) (taylor 0 z) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 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 #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* 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)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* 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)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* 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)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (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 (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
238.0ms	x	@	-inf	((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (pow (pow (* (* y (+ (* z z) 1)) x) -1/2) 2) (pow (* (* y (+ (* z z) 1)) x) -1/2) (* (* y (+ (* z z) 1)) x) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)))
27.0ms	y	@	inf	((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (pow (pow (* (* y (+ (* z z) 1)) x) -1/2) 2) (pow (* (* y (+ (* z z) 1)) x) -1/2) (* (* y (+ (* z z) 1)) x) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)))
5.0ms	x	@	inf	((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (pow (pow (* (* y (+ (* z z) 1)) x) -1/2) 2) (pow (* (* y (+ (* z z) 1)) x) -1/2) (* (* y (+ (* z z) 1)) x) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)))
5.0ms	y	@	-inf	((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (pow (pow (* (* y (+ (* z z) 1)) x) -1/2) 2) (pow (* (* y (+ (* z z) 1)) x) -1/2) (* (* y (+ (* z z) 1)) x) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)))
3.0ms	z	@	inf	((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (pow (pow (* (* y (+ (* z z) 1)) x) -1/2) 2) (pow (* (* y (+ (* z z) 1)) x) -1/2) (* (* y (+ (* z z) 1)) x) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)))

simplify194.0ms (1.8%)

Memory

-31.9MiB live, 170.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 340×	`lower-fma.f64`
12 340×	`lower-fma.f32`
5 216×	`lower-*.f64`
5 216×	`lower-*.f32`
2 550×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	5117
1	442	5052
2	1284	4931
3	4491	4849
0	8189	4536

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

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)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(/ -1 y)
(- (/ (pow z 2) y) (/ 1 y))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(/ 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)))
(sqrt (/ 1 (* x y)))
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ -1 (* y (pow z 2)))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 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))
(* (sqrt (/ 1 (* x y))) (/ 1 z))
(/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
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Outputs
(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 z z #s(literal -1 binary64))))
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x
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(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 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))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 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))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -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))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))))
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* 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))

rewrite206.0ms (1.9%)

Memory

7.8MiB live, 408.3MiB allocated

Rules

4 632×	`lower-*.f32`
4 622×	`lower-*.f64`
3 316×	`lower-/.f32`
3 304×	`lower-/.f64`
2 582×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	142
0	46	135
1	188	135
2	1082	135
0	8132	135

Stop Event

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

Counts

18 → 1 684

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.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 y x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 x (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z z) x)))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(.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)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 y) y))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (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 (.f64 z z) y) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))
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(.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) z)) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -3/4 binary64)) (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/8 binary64))) (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -3/4 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (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 -1/4 binary64)))
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(.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 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -3/4 binary64))) (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/4 binary64)))
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(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1/2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 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 (pow.f64 (.f64 y x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (.f64 z z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(exp.f64 (fma.f64 (log.f64 (.f64 y x)) #s(literal -1 binary64) (.f64 (log1p.f64 (*.f64 z z)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (.f64 z z)) #s(literal -1 binary64) (.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)))
(+.f64 (.f64 (.f64 z z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.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)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z)))
(+.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 z z)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (-.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)) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x))))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y))

eval443.0ms (4.2%)

Memory: 1.5MiB live, 639.3MiB allocated
Compiler: Compiled 45 799 to 4 781 computations (89.6% saved)

prune356.0ms (3.3%)

Memory

-8.5MiB live, 595.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	2 458	13	2 471
Fresh	5	6	11
Picked	4	1	5
Done	0	0	0
Total	2 467	20	2 487

Accuracy

100.0%

Counts

2 487 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(pow.f64 (pow.f64 (fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	58.1%	(pow.f64 #s(approx (pow (* (* y (+ (* z z) 1)) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) z)) #s(literal 2 binary64))
	56.2%	(pow.f64 #s(approx (pow (* (* y (+ (* z z) 1)) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal 2 binary64))
▶	99.0%	(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
	56.3%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	94.0%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
▶	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	90.9%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y z) z y)) (neg.f64 x))
	92.6%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))
▶	35.5%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
	52.4%	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
▶	56.4%	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
	56.4%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
▶	89.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
	93.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) x) y))
	92.6%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	48.0%	#s(approx (pow (pow (* (* y (+ (* z z) 1)) x) -1/2) 2) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	56.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	56.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))

Compiler

Compiled 430 to 371 computations (13.7% saved)

simplify152.0ms (1.4%)

Memory

20.5MiB live, 96.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 #s(literal 0 binary64) y)
cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	960	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
cost-diff	1856	(.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z y)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
cost-diff	0	(*.f64 z x)
cost-diff	0	(fma.f64 (*.f64 z x) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64))
cost-diff	6144	(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)

Rules

6 458×	`lower-fma.f32`
6 452×	`lower-fma.f64`
2 524×	`lower-*.f32`
2 510×	`lower-*.f64`
1 222×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	229
0	57	205
1	125	198
2	353	198
3	2481	178
4	6308	178
0	8078	178

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.6%)

Memory

-30.1MiB live, 145.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9256923920981596	(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.379413690023567	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	17.00151592247654	(.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy	25.752932586394515	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 y z)
accuracy	0.05859375	(fma.f64 (*.f64 y z) z y)
accuracy	5.859360050413827	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.4091483203318004	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy	0.9256923920981596	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.645199264283542	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.48764531527635474	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
accuracy	32.24579752918033	#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(*.f64 z x)
accuracy	0.0859375	(fma.f64 (*.f64 z x) z x)
accuracy	0.28054167709305516	(pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64))
accuracy	0.48764531527635474	(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)

Samples

133.0ms

256×

valid

Compiler

Compiled 245 to 35 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 54.0ms (69.3% of total)

ival-div: 13.0ms (16.7% of total)

ival-pow: 5.0ms (6.4% of total)

ival-add: 4.0ms (5.1% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

35.8MiB live, 74.0MiB allocated

Counts

19 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	((/ (pow (+ (* (* z x) z) x) -1) y) (pow (+ (* (* z x) z) x) -1) (+ (* (* z x) z) x) (* z x) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (* (neg y) (+ (* z z) 1)))
4.0ms	x	@	-inf	((/ (pow (+ (* (* z x) z) x) -1) y) (pow (+ (* (* z x) z) x) -1) (+ (* (* z x) z) x) (* z x) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (* (neg y) (+ (* z z) 1)))
4.0ms	y	@	-inf	((/ (pow (+ (* (* z x) z) x) -1) y) (pow (+ (* (* z x) z) x) -1) (+ (* (* z x) z) x) (* z x) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (* (neg y) (+ (* z z) 1)))
3.0ms	y	@	0	((/ (pow (+ (* (* z x) z) x) -1) y) (pow (+ (* (* z x) z) x) -1) (+ (* (* z x) z) x) (* z x) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (* (neg y) (+ (* z z) 1)))
3.0ms	x	@	inf	((/ (pow (+ (* (* z x) z) x) -1) y) (pow (+ (* (* z x) z) x) -1) (+ (* (* z x) z) x) (* z x) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (* (neg y) (+ (* z z) 1)))

simplify394.0ms (3.7%)

Memory

-6.1MiB live, 262.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 542×	`lower-fma.f64`
17 542×	`lower-fma.f32`
4 682×	`lower-*.f64`
4 682×	`lower-*.f32`
2 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	4950
1	342	4914
2	913	4838
3	3423	4681
0	8347	4370

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

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

rewrite410.0ms (3.8%)

Memory

-20.1MiB live, 312.5MiB allocated

Rules

4 216×	`lower-fma.f32`
4 210×	`lower-fma.f64`
3 866×	`lower-*.f32`
3 852×	`lower-*.f64`
3 386×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	167
0	57	145
1	243	142
2	1675	142
0	8692	142

Stop Event

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

Counts

19 → 1 536

Calls

Call 1

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

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

eval782.0ms (7.3%)

Memory: 40.5MiB live, 456.5MiB allocated
Compiler: Compiled 63 045 to 3 835 computations (93.9% saved)

prune393.0ms (3.7%)

Memory

-14.0MiB live, 482.8MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	2 353	11	2 364
Fresh	5	9	14
Picked	2	3	5
Done	0	1	1
Total	2 360	24	2 384

Accuracy

100.0%

Counts

2 384 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(pow.f64 (pow.f64 (fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	58.1%	(pow.f64 #s(approx (pow (* (* y (+ (* z z) 1)) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) z)) #s(literal 2 binary64))
	56.2%	(pow.f64 #s(approx (pow (* (* y (+ (* z z) 1)) x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal 2 binary64))
✓	99.0%	(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
	90.7%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) z y))
▶	40.8%	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (fma.f64 z z #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) y)
	94.0%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
✓	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	90.9%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y z) z y)) (neg.f64 x))
▶	92.6%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))
	56.5%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) #s(approx ( (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/.f64 y x))) (.f64 (.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
	52.4%	(/.f64 #s(approx (pow (+ (* (* z x) z) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	56.3%	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y)
✓	56.4%	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
	56.4%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
	93.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 y (.f64 (*.f64 z z) x))))
	93.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) x x) y))
▶	90.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	92.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	35.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (.f64 y z) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 (*.f64 y z) z)))) x))
	48.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
▶	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	56.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	56.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))

Compiler

Compiled 514 to 420 computations (18.3% saved)

simplify158.0ms (1.5%)

Memory

-4.5MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (fma.f64 z z #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)) y)
cost-diff	320	(/.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (fma.f64 z z #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) y))
cost-diff	1792	(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (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	(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	-768	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z y)
cost-diff	0	(.f64 (fma.f64 (.f64 y z) z y) x)
cost-diff	0	(*.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 z x)
cost-diff	0	(pow.f64 (fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x)) #s(literal -1/2 binary64))
cost-diff	320	(fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x))
cost-diff	11456	(pow.f64 (pow.f64 (fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

10 766×	`lower-fma.f32`
10 758×	`lower-fma.f64`
5 090×	`lower-*.f32`
5 078×	`lower-*.f64`
1 886×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	234
0	60	234
1	117	212
2	256	192
3	873	190
4	3008	190
5	5243	190
0	8174	190

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1.2%)

Memory

6.1MiB live, 257.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9256923920981596	(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
accuracy	2.3273548558703805	(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
accuracy	19.546154790869057	(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	22.964768675283093	(/.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) (fma.f64 z z #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) y))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.20342611913947872	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy	4.625279958764039	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 y) x))
accuracy	0	(*.f64 y z)
accuracy	0.05859375	(fma.f64 (*.f64 y z) z y)
accuracy	0.4091483203318004	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
accuracy	5.645199264283542	(.f64 (fma.f64 (.f64 y z) z y) x)
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	6.094505860350227	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
accuracy	31.931890151552786	#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 y x)
accuracy	0.31087875976844204	(pow.f64 (pow.f64 (fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.9962341230960806	(fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x))
accuracy	17.075701403932072	(pow.f64 (fma.f64 (.f64 z x) (.f64 y z) (*.f64 y x)) #s(literal -1/2 binary64))

Samples

101.0ms

256×

valid

Compiler

Compiled 248 to 39 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 22.0ms (33.4% of total)

ival-div: 18.0ms (27.3% of total)

ival-neg: 9.0ms (13.7% of total)

ival-add: 7.0ms (10.6% of total)

ival-pow: 6.0ms (9.1% of total)

ival-pow2: 3.0ms (4.6% of total)

exact: 1.0ms (1.5% of total)

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

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

series69.0ms (0.6%)

Memory

0.6MiB live, 159.5MiB allocated

Counts

23 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	((pow (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) 2) (+ (* (* z x) (* y z)) (* y x)) (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (neg y) (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) (/ (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) y) (/ (* (+ (* z z) 1) y) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (* (+ (* z z) 1) y))
6.0ms	y	@	inf	((pow (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) 2) (+ (* (* z x) (* y z)) (* y x)) (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (neg y) (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) (/ (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) y) (/ (* (+ (* z z) 1) y) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (* (+ (* z z) 1) y))
6.0ms	x	@	-inf	((pow (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) 2) (+ (* (* z x) (* y z)) (* y x)) (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (neg y) (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) (/ (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) y) (/ (* (+ (* z z) 1) y) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (* (+ (* z z) 1) y))
6.0ms	x	@	0	((pow (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) 2) (+ (* (* z x) (* y z)) (* y x)) (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (neg y) (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) (/ (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) y) (/ (* (+ (* z z) 1) y) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (* (+ (* z z) 1) y))
5.0ms	z	@	0	((pow (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) 2) (+ (* (* z x) (* y z)) (* y x)) (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg y) x) (neg y) (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) (/ (/ (/ (/ (* (+ (* z z) 1) y) x) (+ (* z z) 1)) (* (+ (* z z) 1) y)) y) (/ (* (+ (* z z) 1) y) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ (/ -1 (+ (* z z) 1)) (* (neg y) x)) (* (+ (* z z) 1) y))

simplify180.0ms (1.7%)

Memory

-2.3MiB live, 316.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 822×	`lower-fma.f64`
10 822×	`lower-fma.f32`
4 702×	`lower-*.f64`
4 702×	`lower-*.f32`
3 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	6303
1	531	6212
2	1454	5818
3	4520	5613
0	8331	5285

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 634

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)))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(sqrt (/ 1 (* x y)))
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))
(* 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
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
-1
(- (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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ y x)
(+ (/ y x) (/ (* y (pow z 2)) x))
(+ (/ y x) (/ (* y (pow z 2)) x))
(+ (/ y x) (/ (* y (pow z 2)) x))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (sqrt (/ 1 (* x y))) (/ 1 z))
(/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) 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 (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)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ -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))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ (* y (pow z 2)) x)
(* (pow z 2) (+ (/ y x) (/ y (* x (pow z 2)))))
(* (pow z 2) (+ (/ y x) (/ y (* x (pow z 2)))))
(* (pow z 2) (+ (/ y x) (/ y (* x (pow z 2)))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* -1 (* (sqrt (/ 1 (* x y))) (/ 1 z)))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) 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 (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)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ -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))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ (* y (pow z 2)) x)
(* (pow z 2) (+ (/ y x) (/ y (* x (pow z 2)))))
(* (pow z 2) (+ (/ y x) (/ y (* x (pow z 2)))))
(* (pow z 2) (+ (/ y x) (/ y (* x (pow z 2)))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 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 (* y (+ 1 (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))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(sqrt (/ 1 (* y (+ x (* x (pow z 2))))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 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 (* y (+ 1 (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))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
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(* (sqrt (/ 1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))) (sqrt -1))
(* (sqrt (/ 1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))) (sqrt -1))
(* (sqrt (/ 1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))) (sqrt -1))
(/ 1 (* x (* y (+ 1 (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 (* y (- (* -1 (pow z 2)) 1)))
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(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* y z)
(* y z)
(* y z)
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(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 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)))))
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (+ 1 (* -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))
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(/ 1 (* x (+ y (* y (pow z 2)))))
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(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
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(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ y x)
(/ y x)
(/ y x)
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(/ 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 (* y (+ 1 (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))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(* x z)
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(/ 1 (* x (+ y (* y (pow z 2)))))
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(* -1 (* x y))
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(/ (+ 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))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
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(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(* x y)
(* x y)
(* x y)
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(* x (+ y (* y (pow z 2))))
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(* x (+ y (* y (pow z 2))))
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(/ 1 (* x (+ y (* y (pow z 2)))))
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(/ 1 (* x (+ y (* y (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)))))
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(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
(/ (* y (+ 1 (pow z 2))) x)
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(/ 1 (* x (* y (+ 1 (pow z 2)))))

Outputs
(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.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)
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(+ (* x y) (* x (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
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(+ (* x y) (* x (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))
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(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (fma.f64 (.f64 #s(literal 3/8 binary64) (.f64 z z)) (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (.f64 z z) #s(literal 1 binary64))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z z) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (fma.f64 #s(literal -5/16 binary64) (.f64 z z) #s(literal 3/8 binary64)))))
(* x z)
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(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
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(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.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)
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(+ (* x y) (* x (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
y
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(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.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
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(- (* (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
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(+ 1 (pow z 2))
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(/ y x)
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(fma.f64 (/.f64 z x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (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) (.f64 z z)) x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.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))
(/ y x)
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(+ (/ y x) (/ (* y (pow z 2)) x))
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (/ y x) (/ (* y (pow z 2)) x))
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
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(/ 1 (* x y))
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(+ (* (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))
y
(+ y (* y (pow z 2)))
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(/ 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) z) z) #s(literal 1 binary64)) (.f64 y x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) #s(literal 1 binary64)) (.f64 y x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
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(* x (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (sqrt (/ 1 (* x y))) (/ 1 z))
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(* (sqrt (/ 1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))) (sqrt -1))
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(* (sqrt (/ 1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) 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 (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ (* y (+ 1 (pow z 2))) x)
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ (* y (+ 1 (pow z 2))) x)
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ (* y (+ 1 (pow z 2))) x)
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ (* y (+ 1 (pow z 2))) x)
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)

rewrite177.0ms (1.7%)

Memory

-16.5MiB live, 333.5MiB allocated

Rules

4 972×	`lower-fma.f32`
4 964×	`lower-fma.f64`
3 704×	`lower-*.f32`
3 692×	`lower-*.f64`
3 328×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	202
0	60	195
1	254	181
2	1875	155
0	8794	155

Stop Event

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

Counts

23 → 1 512

Calls

Call 1

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

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

eval322.0ms (3%)

Memory: 29.0MiB live, 680.6MiB allocated
Compiler: Compiled 54 766 to 4 691 computations (91.4% saved)

prune281.0ms (2.6%)

Memory

-20.0MiB live, 604.9MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	2 626	9	2 635
Fresh	7	8	15
Picked	3	2	5
Done	1	3	4
Total	2 637	22	2 659

Accuracy

100.0%

Counts

2 659 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.2%	(pow.f64 #s(approx (pow (+ (* (* z x) (* y z)) (* y x)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal 2 binary64))
✓	99.0%	(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
	90.7%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) z y))
	64.8%	(/.f64 (/.f64 (/.f64 y x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) y)
	56.5%	(/.f64 (/.f64 y x) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) y))
	52.7%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (.f64 z z))) (.f64 (neg.f64 y) x))
	52.4%	(/.f64 #s(approx (pow (+ (* (* z x) z) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	56.3%	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y)
✓	56.4%	(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
	56.4%	(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
	96.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) z) z (*.f64 y x)))
	98.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) z) y (*.f64 y x)))
	97.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)))
	89.2%	(/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 (.f64 (*.f64 z z) y) x)))
	93.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) x x) y))
✓	90.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	92.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	48.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
✓	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (neg.f64 (-.f64 z #s(literal 1 binary64)))) (.f64 y x)))
✓	56.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	56.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))

Compiler

Compiled 805 to 357 computations (55.7% saved)

regimes110.0ms (1%)

Memory

27.8MiB live, 223.2MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes92.0ms (0.9%)

Memory

-14.7MiB live, 183.2MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
14.0ms	z
13.0ms	x
10.0ms	y
10.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes48.0ms (0.4%)

Memory

-18.1MiB live, 103.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes45.0ms (0.4%)

Memory

25.3MiB live, 105.4MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	y
7.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	x
5.0ms	z
5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
93.8%	1	`x`
93.8%	1	`y`
93.8%	1	`z`
93.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.8%	1	`(/.f64 #s(literal 1 binary64) x)`
93.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
93.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
93.8%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes41.0ms (0.4%)

Memory

11.3MiB live, 88.2MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	z
6.0ms	(*.f64 z z)
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	y

Results

Accuracy	Segments	Branch
93.8%	1	`(/.f64 #s(literal 1 binary64) x)`
93.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
93.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
93.8%	1	`(*.f64 z z)`
93.8%	1	`x`
93.8%	1	`y`
93.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.8%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes44.0ms (0.4%)

Memory

-15.2MiB live, 63.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	z
8.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	y
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	x

Results

Accuracy	Segments	Branch
92.6%	1	`(/.f64 #s(literal 1 binary64) x)`
92.6%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
92.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
92.6%	1	`(*.f64 z z)`
92.6%	1	`x`
95.3%	2	`y`
92.6%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
92.6%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
92.6%	1	`x`
92.6%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes27.0ms (0.3%)

Memory

-7.8MiB live, 70.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes30.0ms (0.3%)

Memory

-17.5MiB live, 63.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

9.0ms	z
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	y

Results

Accuracy	Segments	Branch
63.3%	4	`y`
88.1%	2	`z`
75.4%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
63.3%	3	`x`
63.3%	3	`(/.f64 #s(literal 1 binary64) x)`
77.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
88.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.1%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

11.1MiB live, 50.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.4%	1	`y`
56.4%	1	`x`
56.4%	1	`(/.f64 #s(literal 1 binary64) x)`
56.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.4%	1	`z`
56.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.4%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes16.0ms (0.1%)

Memory

-5.2MiB live, 34.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.4%	1	`x`
56.4%	1	`y`
56.4%	1	`z`
56.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.4%	1	`(*.f64 z z)`
56.4%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes13.0ms (0.1%)

Memory

-14.2MiB live, 24.2MiB 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:

3.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	z
1.0ms	y
1.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.4%	1	`y`
56.4%	1	`z`
56.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.4%	1	`(/.f64 #s(literal 1 binary64) x)`
56.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.4%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.079453546976602e+66	8.188386548124462e+66

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.028597070907328024	2058.720138414063

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify28.0ms (0.3%)

Memory

14.2MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`-commutative-binary64-.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`+-commutative-binary64-+.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	196
1	89	196
2	97	196
3	103	196
4	106	196
5	107	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) z) y (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 y (.f64 (*.f64 z z) x))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) x x) y))
(if (<=.f64 y #s(literal 8099999999999999725475892953324321695312629946087912054156746031104 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 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))))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) z) y (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 y (.f64 (*.f64 z z) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 (.f64 (*.f64 z z) x) y)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) x x) y))
(if (<=.f64 y #s(literal 8099999999999999725475892953324321695312629946087912054156746031104 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.3s (12.4%)

Memory

36.7MiB live, 896.7MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
12 340×	`lower-fma.f64`
12 340×	`lower-fma.f32`
5 216×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	142
0	46	135
1	188	135
2	1082	135
0	8132	135
0	160	5117
1	442	5052
2	1284	4931
3	4491	4849
0	8189	4536
0	33	167
0	57	145
1	243	142
2	1675	142
0	8692	142
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693
0	35	202
0	60	195
1	254	181
2	1875	155
0	8794	155
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26

Stop Event

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

Compiler

Compiled 751 to 388 computations (48.3% saved)

preprocess653.0ms (6.1%)

Memory: -50.2MiB live, 850.2MiB allocated
Remove: (abs z)
Compiler: Compiled 978 to 616 computations (37% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze79.0ms (0.7%)

sample1.2s (11.5%)

explain220.0ms (2.1%)

preprocess347.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.2%)

localize23.0ms (0.2%)

series15.0ms (0.1%)

simplify222.0ms (2.1%)

rewrite259.0ms (2.4%)

eval145.0ms (1.4%)

prune185.0ms (1.7%)

simplify119.0ms (1.1%)

localize117.0ms (1.1%)

series300.0ms (2.8%)

simplify194.0ms (1.8%)

rewrite206.0ms (1.9%)

eval443.0ms (4.2%)

prune356.0ms (3.3%)

simplify152.0ms (1.4%)

localize174.0ms (1.6%)

series78.0ms (0.7%)

simplify394.0ms (3.7%)

rewrite410.0ms (3.8%)

eval782.0ms (7.3%)

prune393.0ms (3.7%)

simplify158.0ms (1.5%)

localize125.0ms (1.2%)

series69.0ms (0.6%)

simplify180.0ms (1.7%)

rewrite177.0ms (1.7%)

eval322.0ms (3%)

prune281.0ms (2.6%)

regimes110.0ms (1%)

regimes92.0ms (0.9%)

regimes48.0ms (0.4%)

regimes45.0ms (0.4%)

regimes41.0ms (0.4%)

regimes44.0ms (0.4%)

regimes8.0ms (0.1%)

regimes27.0ms (0.3%)

regimes30.0ms (0.3%)

regimes18.0ms (0.2%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.3%)

soundness1.3s (12.4%)

preprocess653.0ms (6.1%)

end0.0ms (0%)

Profiling