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

analyze64.0ms (0.6%)

Memory

13.1MiB live, 90.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample908.0ms (8.1%)

Memory

-13.2MiB live, 1 463.4MiB allocated

Samples

604.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 389.0ms

ival-div: 172.0ms (44.2% of total)

ival-mult: 130.0ms (33.4% of total)

ival-add: 72.0ms (18.5% of total)

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

exact: 5.0ms (1.3% of total)

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

Bogosity

preprocess329.0ms (3%)

Memory

1.5MiB live, 77.9MiB 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 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

explain107.0ms (1%)

Memory

13.5MiB live, 251.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
27	1	(9.619251733986645e-5 2.219449534996414e+112 1.4267384606261543e+107)	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
4	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	28	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	74
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	57
↳	`(*.f64 z z)`	overflow	57
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	4	0

Confusion

	Predicted +	Predicted -
+	31	0
-	1	224

Precision

0.96875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	0
-	1	0	224

Precision?

0.96875

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize29.0ms (0.3%)

Memory

-15.8MiB live, 58.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	98.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

18.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (52.3% of total)

ival-mult: 3.0ms (31.4% of total)

ival-add: 1.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#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) (.f64 z z)) (patch (+.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 (* 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 (* 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 (* 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 (* 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 (/ 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 (/ 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 (/ 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 (/ 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 (/ 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 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 (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 (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) (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) (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 (/.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 (* 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 (* 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 (* 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 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 (* 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 (* 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 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 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 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>) () ())) ())

Calls

24 calls:

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

rewrite395.0ms (3.5%)

Memory

-14.9MiB live, 534.6MiB allocated

Algorithm

1×	batch-egg-rewrite

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	2758	29
0	9078	26

Stop Event

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

Counts

5 → 437

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

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

simplify470.0ms (4.2%)

Memory

18.4MiB live, 746.1MiB 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	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

eval62.0ms (0.6%)

Memory: 0.4MiB live, 158.8MiB allocated
Compiler: Compiled 15 212 to 1 509 computations (90.1% saved)

prune111.0ms (1%)

Memory

-27.7MiB live, 230.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

94.9%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	55.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
▶	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
▶	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
	90.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	47.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
▶	60.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
	46.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))) (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))))
	88.3%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
	47.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
▶	60.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	92.8%	(*.f64 (pow.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
	88.4%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 y (.f64 z z) y)))
	45.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 y (.f64 z z) y) (-.f64 y (.f64 y (.f64 z z))))) (-.f64 y (.f64 y (*.f64 z z))))

Compiler

Compiled 508 to 290 computations (42.9% saved)

simplify33.0ms (0.3%)

Memory

-24.7MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y (*.f64 z z) y)
✓	cost-diff	0	(.f64 x (fma.f64 y (.f64 z z) y))
✓	cost-diff	0	(pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64))
✓	cost-diff	12224	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	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	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 y #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	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	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))

Rules

144×	`lower-*.f32`
134×	`lower-*.f64`
80×	`associate-r`
70×	`lower-fma.f32`
66×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	130
0	39	124
1	73	124
2	141	124
3	210	124
4	221	124
5	221	124
0	221	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (0.8%)

Memory

25.1MiB live, 170.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	98.5%	(fma.f64 y (*.f64 z z) y)
✓	accuracy	90.7%	(.f64 x (fma.f64 y (.f64 z z) y))
✓	accuracy	69.0%	(pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
✓	accuracy	91.1%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	91.1%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 143 to 25 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.6% of total)

ival-div: 11.0ms (32.6% of total)

ival-pow: 6.0ms (17.8% of total)

ival-pow2: 3.0ms (8.9% of total)

ival-add: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.4%)

Memory

-0.7MiB live, 81.4MiB allocated

Counts

15 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow (pow (* x (+ (* y (* z z)) y)) -1/2) 2)
4.0ms	x	@	0	(pow (* x (+ (* y (* z z)) y)) -1/2)
2.0ms	y	@	0	(/ 1 (* x y))
1.0ms	x	@	0	(pow (pow (* x (+ (* y (* z z)) y)) -1/2) 2)
1.0ms	y	@	-inf	(pow (pow (* x (+ (* y (* z z)) y)) -1/2) 2)

rewrite338.0ms (3%)

Memory

19.2MiB live, 578.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 384×	`lower-*.f32`
5 374×	`lower-*.f64`
5 000×	`lower-fma.f32`
4 996×	`lower-fma.f64`
3 588×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
0	39	92
1	164	92
2	932	92
0	8022	92

Stop Event

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

Counts

15 → 1 602

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 z z))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 z (.f64 z (.f64 z z)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x)))) (.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x)))))
(+.f64 (.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (*.f64 y x)))))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 x (fma.f64 y (*.f64 z z) y)))))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (.f64 x (fma.f64 y (.f64 z z) y)))) #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x (.f64 z z) x)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x (.f64 z z) x)) (.f64 #s(literal -1 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (*.f64 z z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (*.f64 z z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x)))))
(fma.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (*.f64 y x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (*.f64 y x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 z (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 z (.f64 z (*.f64 z z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (.f64 z z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 z z) x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 z z) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (fma.f64 y (*.f64 z z) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 y (*.f64 z z) y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) y))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z z) x)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))) (.f64 y (neg.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 y x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 y (neg.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 z (.f64 z (.f64 z z))))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)) (.f64 z z)))) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)) (*.f64 z z))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal -1 binary64))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 z z) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y))) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 y x))) (.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)) (.f64 z z)))) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)) (*.f64 z z)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal -1 binary64))) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 z z) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (.f64 x (fma.f64 y (.f64 z z) y))) (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (.f64 x (fma.f64 y (*.f64 z z) y)))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 x (fma.f64 y (*.f64 z z) y)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (*.f64 z z) y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 z z) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64))
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(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) y) (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) y) (.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (neg.f64 y)) (.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
(/.f64 (.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (neg.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (neg.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 y (fma.f64 z (.f64 z (.f64 y (.f64 z z))) y)) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 y (fma.f64 z (.f64 z (.f64 y (.f64 z z))) y)) (.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)))
(/.f64 (.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 y (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))))) (neg.f64 (fma.f64 (*.f64 z z) (neg.f64 y) y)))
(/.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) y) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 y y) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 y y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 y y) (.f64 y (fma.f64 z z #s(literal -1 binary64)))))) (fma.f64 (.f64 z z) (/.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 y y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (pow.f64 (.f64 y (.f64 z z)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))))) (.f64 (.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z)))))) (.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z (.f64 y (.f64 y (*.f64 z z)))))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64))))) (fma.f64 y (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z)))))) (.f64 (.f64 y y) (.f64 y (fma.f64 z (.f64 z (.f64 y (*.f64 z z))) y)))))
(/.f64 (.f64 (.f64 (.f64 y (fma.f64 z (.f64 z (.f64 y (.f64 z z))) y)) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 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 (.f64 z (.f64 y (*.f64 z z))) y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(.f64 (fma.f64 y (.f64 z z) y) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 z z) y) (.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
(.f64 (fma.f64 y (.f64 z z) y) (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y))))
(.f64 (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)) (.f64 (fma.f64 y (.f64 z z) y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))))
(.f64 (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)) (/.f64 (fma.f64 y (.f64 z z) y) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y))))
(.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) y))
(.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)))))
(.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (neg.f64 y) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))))
(.f64 (.f64 y (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 z z) y) y) (/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (fma.f64 y (.f64 z z) y))
(.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (fma.f64 (.f64 y (fma.f64 (.f64 z z) (neg.f64 y) y)) (.f64 y (.f64 (fma.f64 (.f64 z z) (neg.f64 y) y) (.f64 y (fma.f64 (.f64 z z) (neg.f64 y) y)))) (.f64 (.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z)))))) (.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z))))))))) (fma.f64 (.f64 y (fma.f64 (.f64 z z) (neg.f64 y) y)) (-.f64 (.f64 y (fma.f64 (.f64 z z) (neg.f64 y) y)) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z)))))) (.f64 y (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z)))))))))
(.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y (.f64 z z)) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (.f64 y y)) (.f64 y (-.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) (fma.f64 (.f64 z z) (neg.f64 y) y))))) (.f64 y (-.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) (fma.f64 (*.f64 z z) (neg.f64 y) y))))
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y (.f64 z z) y) (.f64 z (.f64 z (.f64 y (.f64 y (.f64 z z)))))))

simplify856.0ms (7.7%)

Memory

-5.1MiB live, 579.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 162×	`lower-fma.f64`
14 162×	`lower-fma.f32`
4 956×	`lower-*.f64`
4 956×	`lower-*.f32`
2 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	3668
1	403	3620
2	1160	3515
3	4172	3393
0	8144	3167

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 358

Calls

Call 1

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

eval366.0ms (3.3%)

Memory: -14.0MiB live, 593.9MiB allocated
Compiler: Compiled 48 021 to 4 076 computations (91.5% saved)

prune233.0ms (2.1%)

Memory

17.3MiB live, 586.5MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2 187	16	2 203
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	2 198	21	2 219

Accuracy

100.0%

Counts

2 219 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(pow.f64 (pow.f64 (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	96.1%	(pow.f64 (pow.f64 (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	89.5%	(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y z) z y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	58.7%	(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) #s(literal 2 binary64))
	60.3%	(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64))
	55.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
▶	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
	51.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
▶	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
	51.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
	61.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶	60.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	46.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))) (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))))
▶	88.3%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
	47.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	60.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	60.8%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
	44.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))
	41.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	83.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (+.f64 #s(literal 1 binary64) z)) (+.f64 z #s(literal -1 binary64)))

Compiler

Compiled 652 to 400 computations (38.7% saved)

simplify192.0ms (1.7%)

Memory

-11.2MiB live, 302.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y))))
✓	cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))))
✓	cost-diff	1472	(.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (*.f64 z z) y))))
✓	cost-diff	1728	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))) (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(fma.f64 (*.f64 x z) z x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 y (*.f64 z z) y)
✓	cost-diff	0	(.f64 x (fma.f64 y (.f64 z z) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(fma.f64 (*.f64 x z) z x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))

Rules

6 956×	`lower-fma.f32`
6 950×	`lower-fma.f64`
2 880×	`lower-*.f32`
2 870×	`lower-*.f64`
1 474×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	228
0	49	178
1	111	178
2	364	176
3	2160	176
4	6940	176
0	8108	176

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (0.9%)

Memory

7.3MiB live, 129.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(*.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))
✓	accuracy	90.7%	(.f64 x (fma.f64 y (.f64 z z) y))
✓	accuracy	72.3%	(.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (*.f64 z z) y))))
✓	accuracy	56.3%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))) (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x z) z x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))
✓	accuracy	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
✓	accuracy	98.5%	(fma.f64 y (*.f64 z z) y)
✓	accuracy	90.7%	(.f64 x (fma.f64 y (.f64 z z) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x z) z x)
✓	accuracy	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))

Samples

51.0ms

256×

valid

Compiler

Compiled 252 to 31 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41.7% of total)

ival-div: 12.0ms (35.8% of total)

ival-add: 3.0ms (8.9% of total)

ival-neg: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.5%)

Memory

-12.7MiB live, 62.3MiB allocated

Counts

17 → 468

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<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) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<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) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<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) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x z) z x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (+ (* x (pow y 2)) (/ (* x (pow y 2)) (pow z 4))))) (taylor -inf z) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (+ (* x (pow y 2)) (/ (* x (pow y 2)) (pow z 4))))) (taylor -inf z) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor 0 x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor 0 x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor 0 x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor 0 x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (+ y (* y (pow z 2))) (- (* -1 (pow z 2)) 1))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (patch (.f64 (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor 0 y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor 0 y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor 0 y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor 0 y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor -inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor -inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor -inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (pow z 2)) 1)) (taylor -inf y) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* -1 (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* -1 (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* -1 (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow z 2))) (taylor inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 y) (* -1 (/ y (pow z 2))))) (taylor inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 y) (* -1 (/ y (pow z 2))))) (taylor inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 y) (* -1 (/ y (pow z 2))))) (taylor inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow z 2))) (taylor -inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 y) (* -1 (/ y (pow z 2))))) (taylor -inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 y) (* -1 (/ y (pow z 2))))) (taylor -inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 y) (* -1 (/ y (pow z 2))))) (taylor -inf z) (#s(alt (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (patch (.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

117 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(* (* y (+ (* z (neg z)) -1)) (neg (* x (+ (* y (* z z)) y))))
6.0ms	z	@	inf	(/ (- (* 0 (neg (* x (+ (* y (* z z)) y)))) (* y (+ (* z (neg z)) -1))) (* (* y (+ (* z (neg z)) -1)) (neg (* x (+ (* y (* z z)) y)))))
2.0ms	y	@	inf	(/ (- (* 0 (neg (* x (+ (* y (* z z)) y)))) (* y (+ (* z (neg z)) -1))) (* (* y (+ (* z (neg z)) -1)) (neg (* x (+ (* y (* z z)) y)))))
1.0ms	y	@	0	(* (* y (+ (* z (neg z)) -1)) (neg (* x (+ (* y (* z z)) y))))
1.0ms	y	@	0	(/ (/ 1 y) (+ (* (* x z) z) x))

rewrite498.0ms (4.5%)

Memory

27.6MiB live, 343.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 736×	`lower-fma.f32`
5 730×	`lower-fma.f64`
3 928×	`lower-*.f32`
3 918×	`lower-*.f64`
3 018×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	166
0	49	116
1	210	110
2	1541	109
0	8750	109

Stop Event

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

Counts

17 → 1 940

Calls

Call 1

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

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

simplify617.0ms (5.5%)

Memory

-14.0MiB live, 268.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 980×	`lower-fma.f64`
7 980×	`lower-fma.f32`
3 562×	`lower-*.f64`
3 562×	`lower-*.f32`
2 460×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	4550
1	428	4520
2	1338	4299
3	5408	4291
0	8485	4040

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

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

eval876.0ms (7.8%)

Memory: -159.8MiB live, 608.2MiB allocated
Compiler: Compiled 141 626 to 5 562 computations (96.1% saved)

prune593.0ms (5.3%)

Memory

-14.5MiB live, 744.6MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	3 555	6	3 561
Fresh	4	11	15
Picked	3	2	5
Done	0	1	1
Total	3 562	20	3 582

Accuracy

100.0%

Counts

3 582 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.5%	(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y z) z y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	60.3%	(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64))
	55.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	54.6%	(/.f64 (fma.f64 y (.f64 z z) y) (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (fma.f64 y (*.f64 z z) y)))
✓	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
▶	51.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
	51.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
▶	61.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	60.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)))
	96.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
	92.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
	51.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
▶	89.7%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
	47.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	60.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	60.8%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
▶	41.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	83.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (+.f64 #s(literal 1 binary64) z)) (+.f64 z #s(literal -1 binary64)))

Compiler

Compiled 539 to 328 computations (39.1% saved)

simplify287.0ms (2.6%)

Memory

24.5MiB live, 453.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
✓	cost-diff	2368	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 x (.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(fma.f64 (*.f64 y z) z y)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 y z) z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)))
✓	cost-diff	320	(fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x))

Rules

6 526×	`lower-fma.f32`
6 518×	`lower-fma.f64`
4 758×	`lower-*.f32`
4 736×	`lower-*.f64`
2 746×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	215
0	58	196
1	124	181
2	291	179
3	1047	179
4	4273	179
5	6022	179
0	8537	179

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1%)

Memory

-13.5MiB live, 309.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))))
✓	accuracy	98.5%	(*.f64 y (fma.f64 z z #s(literal -1 binary64)))
✓	accuracy	97.7%	(.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))
✓	accuracy	45.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z)))
✓	accuracy	89.8%	(.f64 x (.f64 z z))
✓	accuracy	88.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.9%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
✓	accuracy	90.7%	(.f64 x (fma.f64 (.f64 y z) z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x)))
✓	accuracy	97.7%	(fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x))

Samples

70.0ms

256×

valid

Compiler

Compiled 231 to 35 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 21.0ms (41.9% of total)

ival-div: 18.0ms (35.9% of total)

ival-add: 10.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.4%)

Memory

-1.0MiB live, 117.8MiB allocated

Counts

19 → 516

Calls

Call 1

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

Outputs
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) (patch (fma.f64 (.f64 y z) (.f64 x z) (.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2))) (taylor inf z) (#s(alt (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (patch (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor -inf z) (#s(alt (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (patch (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2))) (taylor -inf z) (#s(alt (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (patch (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2))) (taylor -inf z) (#s(alt (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (patch (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2))) (taylor -inf z) (#s(alt (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (patch (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 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) (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) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow z 2) 1)) (taylor 0 y) (#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 (- (pow z 2) 1)) (taylor 0 y) (#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 (- (pow z 2) 1)) (taylor 0 y) (#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 (- (pow z 2) 1)) (taylor 0 y) (#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 (- (pow z 2) 1)) (taylor inf y) (#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 (- (pow z 2) 1)) (taylor inf y) (#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 (- (pow z 2) 1)) (taylor inf y) (#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 (- (pow z 2) 1)) (taylor inf y) (#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 (- (pow z 2) 1)) (taylor -inf y) (#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 (- (pow z 2) 1)) (taylor -inf y) (#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 (- (pow z 2) 1)) (taylor -inf y) (#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 (- (pow z 2) 1)) (taylor -inf y) (#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 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 (+ (* -1 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 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 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 (pow z 2)) (taylor inf 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 (* (pow z 2) (+ y (* -1 (/ y (pow z 2))))) (taylor inf 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 (* (pow z 2) (+ y (* -1 (/ y (pow z 2))))) (taylor inf 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 (* (pow z 2) (+ y (* -1 (/ y (pow z 2))))) (taylor inf 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 (pow z 2)) (taylor -inf 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 (* (pow z 2) (+ y (* -1 (/ y (pow z 2))))) (taylor -inf 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 (* (pow z 2) (+ y (* -1 (/ y (pow z 2))))) (taylor -inf 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 (* (pow z 2) (+ y (* -1 (/ y (pow z 2))))) (taylor -inf 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>) () ())) ())

Calls

129 calls:

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

rewrite407.0ms (3.6%)

Memory

21.4MiB live, 646.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 102×	`lower-fma.f32`
7 094×	`lower-fma.f64`
4 072×	`lower-*.f32`
4 050×	`lower-*.f64`
3 278×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	158
0	58	143
1	236	125
2	1684	121
0	8426	121

Stop Event

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

Counts

19 → 1 284

Calls

Call 1

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

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

simplify337.0ms (3%)

Memory

-24.8MiB live, 438.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 936×	`lower-fma.f64`
6 936×	`lower-fma.f32`
4 104×	`lower-*.f64`
4 104×	`lower-*.f32`
2 452×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	4580
1	372	4574
2	1009	4547
3	3164	4472
4	6995	4472
0	8276	4249

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 515

Calls

Call 1

Inputs
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
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(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
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(* (pow z 2) (+ (* x y) (/ (* x 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))))))
(/ 1 (* y (+ x (* x (pow z 2)))))
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(/ 1 (* x y))
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(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
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(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 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 (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* y z)
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(/ 1 (* x y))
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(/ 1 y)
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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 (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* 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 (* 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))))
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(* x (+ y (* y (pow z 2))))
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(* x (* y (+ 1 (pow z 2))))
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(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
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(* x (* y (pow z 2)))
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(* -1 (* y (- (* -1 (pow z 2)) 1)))
y
(+ y (* y (pow z 2)))
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(/ 1 (* x (* y (pow z 2))))
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(* x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
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(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
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(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
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(/ 1 (* x y))
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* 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))
(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
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(/ -1 (pow y 2))
(- (* -1 (/ (pow z 4) (pow y 2))) (/ 1 (pow y 2)))
(- (* (pow z 4) (- (* -1 (/ (pow z 4) (pow y 2))) (/ 1 (pow y 2)))) (/ 1 (pow y 2)))
(- (* (pow z 4) (- (* (pow z 4) (- (* -1 (/ (pow z 4) (pow y 2))) (/ 1 (pow y 2)))) (/ 1 (pow y 2)))) (/ 1 (pow y 2)))
(/ 1 (* (pow y 2) (pow z 4)))
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(/ (+ (/ 1 (* (pow y 2) (pow z 4))) (+ (/ 1 (* (pow y 2) (pow z 8))) (+ (/ 1 (* (pow y 2) (pow z 12))) (/ 1 (pow y 2))))) (pow z 4))
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(/ (+ (/ 1 (* (pow y 2) (pow z 4))) (+ (/ 1 (* (pow y 2) (pow z 8))) (/ 1 (pow y 2)))) (pow z 4))
(/ (+ (/ 1 (* (pow y 2) (pow z 4))) (+ (/ 1 (* (pow y 2) (pow z 8))) (+ (/ 1 (* (pow y 2) (pow z 12))) (/ 1 (pow y 2))))) (pow z 4))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* (pow y 2) (- (pow z 4) 1))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow y 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow y 2)) (* (pow y 2) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2)))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow y 2) (pow z 4))) (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- (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 (- (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 (- (pow z 2) 1))
(* y (- (pow z 2) 1))
(* -1 y)
(+ (* -1 y) (* y (pow z 2)))
(+ (* -1 y) (* y (pow z 2)))
(+ (* -1 y) (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))

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

eval262.0ms (2.3%)

Memory: 10.2MiB live, 441.3MiB allocated
Compiler: Compiled 49 504 to 2 735 computations (94.5% saved)

prune180.0ms (1.6%)

Memory

36.2MiB live, 379.9MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 845	10	1 855
Fresh	5	7	12
Picked	3	2	5
Done	1	2	3
Total	1 854	21	1 875

Accuracy

100.0%

Counts

1 875 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	54.6%	(/.f64 (fma.f64 y (.f64 z z) y) (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (fma.f64 y (*.f64 z z) y)))
	41.9%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 y (.f64 y (fma.f64 (.f64 z z) (*.f64 z z) #s(literal -1 binary64)))))
	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
	57.6%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z)) y)
	52.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 z z))
	57.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (.f64 z x)))
✓	61.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	60.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	36.6%	(/.f64 (.f64 y (-.f64 (.f64 z (.f64 z x)) x)) (.f64 (.f64 y (fma.f64 z (.f64 z x) x)) (.f64 y (-.f64 (.f64 z (*.f64 z x)) x))))
	96.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
	61.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x))) x)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x))))))
	92.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
	57.2%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (*.f64 z x))))
	51.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	89.7%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
	47.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	60.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	55.9%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) (*.f64 z (neg.f64 x))))
	35.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	83.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)) (.f64 y x))) (+.f64 #s(literal 1 binary64) z)) (+.f64 z #s(literal -1 binary64)))

Compiler

Compiled 971 to 341 computations (64.9% saved)

regimes116.0ms (1%)

Memory

-25.6MiB live, 168.2MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	z
15.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	(*.f64 z z)
13.0ms	y
13.0ms	x

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 56 to 40 computations (28.6% saved)

regimes58.0ms (0.5%)

Memory

-5.4MiB live, 93.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) x)
7.0ms	z
7.0ms	y
7.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
96.7%	1	`x`
99.4%	2	`y`
99.4%	2	`z`
96.7%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
96.7%	1	`(/.f64 #s(literal 1 binary64) x)`
99.0%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.4%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes32.0ms (0.3%)

Memory

24.8MiB live, 63.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes32.0ms (0.3%)

Memory

-19.7MiB live, 57.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
92.7%	1	`(/.f64 #s(literal 1 binary64) x)`
92.7%	1	`x`
94.4%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
94.5%	2	`y`
98.2%	2	`z`
98.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.2%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.2%	2	`z`
98.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.2%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

-20.0MiB live, 21.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 z z)
3.0ms	z
3.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
86.8%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.0%	2	`z`
98.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.0%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes19.0ms (0.2%)

Memory

-1.6MiB live, 37.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
64.7%	3	`x`
64.7%	3	`(/.f64 #s(literal 1 binary64) x)`
77.8%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
63.2%	2	`y`
92.5%	2	`z`
92.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
92.5%	2	`(*.f64 z z)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
88.1%	2	`z`
88.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.1%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

-6.0MiB live, 32.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
61.0%	1	`(/.f64 #s(literal 1 binary64) x)`
61.0%	1	`x`
61.0%	1	`y`
61.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
61.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
61.0%	1	`z`
61.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
61.0%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes41.0ms (0.4%)

Memory

-15.5MiB live, 22.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

30.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	z
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
60.9%	1	`x`
60.9%	1	`(/.f64 #s(literal 1 binary64) x)`
60.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
60.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
60.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
60.9%	1	`(*.f64 z z)`
60.9%	1	`y`
60.9%	1	`z`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
60.6%	1	`(/.f64 #s(literal 1 binary64) x)`
60.6%	1	`x`
60.6%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
60.6%	1	`y`
60.6%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
60.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
60.6%	1	`(*.f64 z z)`
60.6%	1	`z`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0355826350298885e+214	1.2473801532683249e+218

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.203399550229818e+191	2.319520435235554e+193

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7306575362351345e+100	1.4143097609731381e+104

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	15956724031.886103	37889112305193.336

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2409565372211037e-9	3.2818581239856823

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2409565372211037e-9	3.2818581239856823

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2409565372211037e-9	3.2818581239856823

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify16.0ms (0.1%)

Memory

-22.0MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	189
1	79	189
2	90	189
3	106	189
4	122	189
5	132	189
6	137	189
7	139	189

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(if (<=.f64 (.f64 z z) #s(literal 39999999999999998177785067805944152493869701603276313043972857692358722073809085532895040844521682424136833230375778862830960513227653362344661390457675289243475435963834947863061757341511973685570170313111309910016 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) (.f64 z (neg.f64 x)))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(if (<=.f64 (.f64 z z) #s(literal 39999999999999998177785067805944152493869701603276313043972857692358722073809085532895040844521682424136833230375778862830960513227653362344661390457675289243475435963834947863061757341511973685570170313111309910016 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x))))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) (.f64 z (neg.f64 x)))))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (.f64 y z) (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z x)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness1.4s (12.5%)

Memory

22.8MiB live, 1 156.8MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
14 162×	`lower-fma.f64`
14 162×	`lower-fma.f32`
7 980×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	3668
1	403	3620
2	1160	3515
3	4172	3393
0	8144	3167
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26
0	26	166
0	49	116
1	210	110
2	1541	109
0	8750	109
0	22	98
0	39	92
1	164	92
2	932	92
0	8022	92
0	146	4550
1	428	4520
2	1338	4299
3	5408	4291
0	8485	4040
0	30	158
0	58	143
1	236	125
2	1684	121
0	8426	121
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693

Stop Event

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

Compiler

Compiled 664 to 340 computations (48.8% saved)

preprocess374.0ms (3.3%)

Memory: -40.5MiB live, 603.8MiB allocated
Remove: (abs z)
Compiler: Compiled 1 392 to 644 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze64.0ms (0.6%)

sample908.0ms (8.1%)

preprocess329.0ms (3%)

explain107.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize29.0ms (0.3%)

series11.0ms (0.1%)

rewrite395.0ms (3.5%)

simplify470.0ms (4.2%)

eval62.0ms (0.6%)

prune111.0ms (1%)

simplify33.0ms (0.3%)

localize93.0ms (0.8%)

series44.0ms (0.4%)

rewrite338.0ms (3%)

simplify856.0ms (7.7%)

eval366.0ms (3.3%)

prune233.0ms (2.1%)

simplify192.0ms (1.7%)

localize103.0ms (0.9%)

series52.0ms (0.5%)

rewrite498.0ms (4.5%)

simplify617.0ms (5.5%)

eval876.0ms (7.8%)

prune593.0ms (5.3%)

simplify287.0ms (2.6%)

localize111.0ms (1%)

series44.0ms (0.4%)

rewrite407.0ms (3.6%)

simplify337.0ms (3%)

eval262.0ms (2.3%)

prune180.0ms (1.6%)

regimes116.0ms (1%)

regimes58.0ms (0.5%)

regimes32.0ms (0.3%)

regimes32.0ms (0.3%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

regimes18.0ms (0.2%)

regimes41.0ms (0.4%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.4s (12.5%)

preprocess374.0ms (3.3%)

end0.0ms (0%)

Profiling