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

analyze66.0ms (0.7%)

Memory

8.0MiB live, 130.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (13.3%)

Memory

-118.0MiB live, 1 404.9MiB allocated

Samples

843.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 613.0ms

ival-mult: 425.0ms (69.4% of total)

ival-div: 133.0ms (21.7% of total)

ival-add: 42.0ms (6.9% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

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

Bogosity

preprocess333.0ms (3.4%)

Memory

12.9MiB live, 86.0MiB allocated

Algorithm

2×	egg-herbie

Rules

1 390×	`unsub-neg`
1 030×	`distribute-lft-in`
930×	`distribute-rgt-in`
678×	`associate-r`
598×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	113
1	130	110
2	342	110
3	1158	110
4	2701	110
5	4268	110
6	5145	110
7	5395	110
8	5504	110
9	5517	110
10	6018	110
11	6322	110
12	6356	110
13	6372	110
14	6376	110
15	6376	110
16	6376	110
17	6376	110
18	6436	110
19	6460	110
20	6460	110
21	6636	110
22	7304	110
23	7330	110
24	7334	110
25	7334	110
0	9	11
1	23	11
2	41	11
3	96	11
4	147	11
5	195	11
0	195	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ (/ 1 (neg x)) (* y (+ 1 (* z z))))
(/ (/ 1 x) (* (neg y) (+ 1 (* z z))))
(/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z)))))
(neg (/ (/ 1 (neg x)) (* y (+ 1 (* z z)))))
(neg (/ (/ 1 x) (* (neg y) (+ 1 (* z z)))))
(neg (/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z))))))
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ (/ 1 z) (* y (+ 1 (* x x))))
(/ (/ 1 x) (* z (+ 1 (* y y))))

Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ (/ 1 x) (+ y (* y (* z z))))
(/ (/ 1 (neg x)) (* y (+ 1 (* z z))))
(/ (/ -1 x) (+ y (* y (* z z))))
(/ (/ 1 x) (* (neg y) (+ 1 (* z z))))
(/ (/ -1 x) (+ y (* y (* z z))))
(/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z)))))
(/ (/ 1 x) (+ y (* y (* z z))))
(neg (/ (/ 1 (neg x)) (* y (+ 1 (* z z)))))
(/ (/ 1 x) (+ y (* y (* z z))))
(neg (/ (/ 1 x) (* (neg y) (+ 1 (* z z)))))
(/ (/ 1 x) (+ y (* y (* z z))))
(neg (/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z))))))
(/ (/ -1 x) (+ y (* y (* z z))))
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ (/ 1 x) (+ y (* y (* z z))))
(/ (/ 1 z) (* y (+ 1 (* x x))))
(/ (/ 1 z) (+ y (* x (* x y))))
(/ (/ 1 x) (* z (+ 1 (* y y))))
(/ 1 (* x (+ z (* z (* y y)))))

Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain128.0ms (1.3%)

Memory

-11.2MiB live, 228.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	28	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	85
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	65
↳	`(*.f64 z z)`	overflow	65
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	4	0

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	0
-	0	0	224

Precision?

1.0

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

34.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

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

ival-div: 6.0ms (32.9% of total)

ival-mult: 6.0ms (32.9% of total)

ival-add: 5.0ms (27.4% 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
▶	88.5%	(/.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)

simplify10.0ms (0.1%)

Memory

-16.5MiB live, 20.0MiB 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×	`-lowering-.f32`
142×	`-lowering-.f64`
72×	`associate-r`
70×	`accelerator-lowering-fma.f32`
70×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	23	33
2	41	33
3	96	33
4	147	33
5	195	33
0	195	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.3%)

Memory

28.6MiB live, 67.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

17.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (54.8% of total)

ival-mult: 3.0ms (32.9% of total)

ival-add: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-6.1MiB live, 32.3MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite388.0ms (3.9%)

Memory

9.9MiB live, 525.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 616×	`/-lowering-/.f32`
4 616×	`/-lowering-/.f64`
4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
3 572×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	53	29
2	355	29
3	2746	29
0	9071	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 437

Calls

Call 1

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

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

simplify486.0ms (4.9%)

Memory

-22.2MiB live, 810.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 180×	`accelerator-lowering-fma.f32`
18 180×	`accelerator-lowering-fma.f64`
3 734×	`-lowering-.f32`
3 734×	`-lowering-.f64`
2 644×	`+-lowering-+.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 → 96

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)

eval68.0ms (0.7%)

Memory: 24.8MiB live, 173.9MiB allocated
Compiler: Compiled 15 217 to 1 507 computations (90.1% saved)

prune128.0ms (1.3%)

Memory

13.9MiB live, 251.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	518	15	533
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	519	15	534

Accuracy

94.7%

Counts

534 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	53.2%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	92.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	91.4%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
	92.9%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
▶	92.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
▶	90.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	48.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	87.9%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
▶	48.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
▶	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	92.6%	(*.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)))
	37.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 y (.f64 z z) y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
▶	91.0%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 422 to 260 computations (38.4% saved)

simplify16.0ms (0.2%)

Memory

-12.0MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

284×	`-lowering-.f32`
284×	`-lowering-.f64`
142×	`/-lowering-/.f32`
142×	`/-lowering-/.f64`
114×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	132
1	52	132
2	111	132
3	254	132
4	346	132
5	372	132
6	372	132
0	372	124

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize115.0ms (1.2%)

Memory

-43.7MiB live, 155.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	91.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.9%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	90.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	accuracy	89.8%	(.f64 x (.f64 y (*.f64 z z)))
✓	accuracy	88.2%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.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	90.0%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 128 to 23 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 26.0ms (65.8% of total)

ival-div: 11.0ms (27.9% of total)

ival-add: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.3%)

Memory

22.3MiB live, 59.3MiB allocated

Counts

16 → 384

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (pow z 2)))) (taylor inf z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (* 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 (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (pow z 2)))) (taylor -inf z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/ (/ 1 y) (* x (+ (* z z) 1))) (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 (* 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 (/ (/ 1 y) (* x (+ (* z z) 1))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/ 1 y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor inf x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (* x (+ (* z z) 1)) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (+ (* (* y z) z) y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (* y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<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 (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<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 (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<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 (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<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 (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (* (/ 1 (+ (* z z) 1)) (/ 1 (* x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow z 2))) (taylor 0 z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (- (pow z 2) 1))) (taylor 0 z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1))) (taylor 0 z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow z 2)) (taylor inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 (pow z 2))) (pow z 2)) (taylor inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) (taylor inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) (taylor inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow z 2)) (taylor -inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 (pow z 2))) (pow z 2)) (taylor -inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) (taylor -inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) (taylor -inf z) (#s(alt (/ 1 (+ (* z z) 1)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

96 calls:

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

rewrite483.0ms (4.9%)

Memory

2.9MiB live, 705.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 988×	`-lowering-.f32`
4 988×	`-lowering-.f64`
4 636×	`accelerator-lowering-fma.f32`
4 636×	`accelerator-lowering-fma.f64`
3 990×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	128	100
2	870	98
3	7864	98
0	8815	91

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 317

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 z z))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64)))) (.f64 z (.f64 z (.f64 z z)))))
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(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (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) (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))) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
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(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 z z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))))
(.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 z #s(literal -1 binary64)) (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))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #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) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (pow.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 #s(literal 1 binary64) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
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(.f64 (/.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z 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 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal -1 binary64))) (fma.f64 (.f64 z z) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 (.f64 z z) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal -1 binary64))) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal 1 binary64)))

simplify330.0ms (3.4%)

Memory

-10.0MiB live, 510.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 630×	`accelerator-lowering-fma.f32`
6 630×	`accelerator-lowering-fma.f64`
3 094×	`-lowering-.f32`
3 094×	`-lowering-.f64`
2 114×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	3180
1	231	3172
2	621	3144
3	2290	3086
4	6187	3086
0	8196	2953

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

eval323.0ms (3.3%)

Memory: 28.0MiB live, 483.0MiB allocated
Compiler: Compiled 41 219 to 2 674 computations (93.5% saved)

prune206.0ms (2.1%)

Memory

21.7MiB live, 470.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 917	13	1 930
Fresh	7	3	10
Picked	3	2	5
Done	0	0	0
Total	1 927	18	1 945

Accuracy

100.0%

Counts

1 945 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	36.4%	(/.f64 (/.f64 (fma.f64 (.f64 z z) (neg.f64 y) y) (neg.f64 x)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	62.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)
	62.5%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z)))
▶	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	62.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))
	58.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))
▶	53.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y))
	87.9%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
	50.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 y z) z)))
✓	48.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
▶	61.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y (neg.f64 x)) z) z))
	92.3%	(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
▶	58.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
	37.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))

Compiler

Compiled 462 to 294 computations (36.4% saved)

simplify172.0ms (1.7%)

Memory

-0.3MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y z))
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(.f64 (.f64 y (neg.f64 x)) z)
✓	cost-diff	0	(.f64 (.f64 (*.f64 y (neg.f64 x)) z) z)
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y (neg.f64 x)) z) z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 x (.f64 z z))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 z z)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.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

1 416×	`accelerator-lowering-fma.f32`
1 416×	`accelerator-lowering-fma.f64`
1 136×	`-lowering-.f32`
1 136×	`-lowering-.f64`
966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	129
1	60	129
2	160	129
3	412	129
4	781	129
5	1385	129
6	2658	129
7	3418	129
8	4255	129
9	4358	129
10	4361	129
11	4362	129
12	4362	129
13	4502	129
14	4566	129
15	4566	129
16	4566	129
17	4566	129
0	4566	127

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ 1 y) (+ (* (* x z) z) x))
(/ 1 y)
1
y
(+ (* (* x z) z) x)
(* x z)
x
z
(/ (/ 1 x) y)
(/ 1 x)
1
x
y
(/ 1 (* (* x (* z z)) y))
1
(* (* x (* z z)) y)
(* x (* z z))
x
(* z z)
z
y
(/ -1 (* (* (* y (neg x)) z) z))
-1
(* (* (* y (neg x)) z) z)
(* (* y (neg x)) z)
(* y (neg x))
y
(neg x)
x
z
(* (/ 1 (* y z)) (/ 1 (* x z)))
(/ 1 (* y z))
1
(* y z)
y
z
(/ 1 (* x z))
(* x z)
x

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

localize161.0ms (1.6%)

Memory

-43.6MiB live, 131.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 y z))
✓	accuracy	94.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.0%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y (neg.f64 x)) z) z))
✓	accuracy	97.6%	(.f64 (.f64 (*.f64 y (neg.f64 x)) z) z)
✓	accuracy	93.3%	(.f64 (.f64 y (neg.f64 x)) z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y))
✓	accuracy	88.0%	(.f64 x (.f64 z z))
✓	accuracy	87.5%	(.f64 (.f64 x (*.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

69.0ms

256×

valid

Compiler

Compiled 132 to 27 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 36.0ms (68.4% of total)

ival-mult: 14.0ms (26.6% of total)

ival-add: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

16.0MiB live, 51.8MiB allocated

Counts

19 → 492

Calls

Call 1

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

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

Calls

123 calls:

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

rewrite304.0ms (3.1%)

Memory

15.2MiB live, 657.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 258×	`accelerator-lowering-fma.f32`
4 258×	`accelerator-lowering-fma.f64`
4 044×	`-lowering-.f32`
4 044×	`-lowering-.f64`
2 636×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	107
1	128	107
2	792	101
3	5884	101
0	8051	99

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 209

Calls

Call 1

Inputs
(/ (/ 1 y) (+ (* (* x z) z) x))
(/ 1 y)
(+ (* (* x z) z) x)
(* x z)
(/ (/ 1 x) y)
(/ 1 x)
(/ 1 (* (* x (* z z)) y))
(* (* x (* z z)) y)
(* x (* z z))
(* z z)
(/ -1 (* (* (* y (neg x)) z) z))
(* (* (* y (neg x)) z) z)
(* (* y (neg x)) z)
(* y (neg x))
(* (/ 1 (* y z)) (/ 1 (* x z)))
(/ 1 (* y z))
(* y z)
(/ 1 (* x z))
(neg x)

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

simplify363.0ms (3.7%)

Memory

4.7MiB live, 682.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 126×	`accelerator-lowering-fma.f32`
11 126×	`accelerator-lowering-fma.f64`
3 606×	`-lowering-.f32`
3 606×	`-lowering-.f64`
1 856×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	3270
1	188	3268
2	508	3264
3	1586	3246
4	4574	3238
0	8175	3188

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

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

eval200.0ms (2%)

Memory: 15.5MiB live, 467.1MiB allocated
Compiler: Compiled 24 565 to 2 442 computations (90.1% saved)

prune173.0ms (1.8%)

Memory

-29.6MiB live, 343.9MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 756	3	1 759
Fresh	4	7	11
Picked	0	5	5
Done	0	2	2
Total	1 760	17	1 777

Accuracy

100.0%

Counts

1 777 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
	36.4%	(/.f64 (/.f64 (fma.f64 (.f64 z z) (neg.f64 y) y) (neg.f64 x)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
▶	62.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)
	62.5%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z)))
✓	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
▶	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	59.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) z) y))
	62.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))
▶	58.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))
✓	53.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y))
▶	92.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	48.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	61.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y (neg.f64 x)) z) z))
✓	58.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
	37.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))

Compiler

Compiled 374 to 236 computations (36.9% saved)

simplify10.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

142×	`/-lowering-/.f32`
142×	`/-lowering-/.f64`
142×	`-lowering-.f32`
142×	`-lowering-.f64`
132×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	127
1	53	127
2	98	127
3	142	127
4	166	127
5	174	127
6	242	127
7	242	127
0	242	124

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize95.0ms (1%)

Memory

-8.2MiB live, 111.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z)))
✓	accuracy	97.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)
✓	accuracy	92.6%	(.f64 y (.f64 x z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.8%	(.f64 (.f64 x z) z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) z) y))
✓	accuracy	87.5%	(.f64 (.f64 (*.f64 x z) z) y)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))
✓	accuracy	95.1%	(.f64 (.f64 y z) (*.f64 x z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.2%	(.f64 y (fma.f64 x (.f64 z z) x))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	accuracy	90.0%	(fma.f64 x (*.f64 z z) x)

Samples

43.0ms

256×

valid

Compiler

Compiled 126 to 23 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 16.0ms (58.5% of total)

ival-div: 10.0ms (36.5% of total)

ival-add: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

16 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ 1 (* y (* x z)))
0.0ms	x	@	0	(/ 1 (* y (* x z)))
0.0ms	x	@	inf	(/ 1 (* y (* x z)))
0.0ms	y	@	inf	(* y (+ (* x (* z z)) x))
0.0ms	y	@	-inf	(/ 1 (* y (* x z)))

rewrite398.0ms (4%)

Memory

-46.2MiB live, 333.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 384×	`accelerator-lowering-fma.f32`
4 384×	`accelerator-lowering-fma.f64`
3 998×	`-lowering-.f32`
3 998×	`-lowering-.f64`
2 246×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
1	115	102
2	625	96
3	5245	96
0	8142	93

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 060

Calls

Call 1

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

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

simplify554.0ms (5.6%)

Memory

25.1MiB live, 266.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 188×	`accelerator-lowering-fma.f32`
7 188×	`accelerator-lowering-fma.f64`
3 866×	`-lowering-.f32`
3 866×	`-lowering-.f64`
1 884×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	3368
1	193	3366
2	525	3362
3	1721	3344
4	5125	3340
0	8144	3259

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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)))))
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(* x (* y z))
(* x (* y z))

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

eval377.0ms (3.8%)

Memory: -17.5MiB live, 254.7MiB allocated
Compiler: Compiled 24 282 to 2 137 computations (91.2% saved)

prune217.0ms (2.2%)

Memory

3.5MiB live, 206.7MiB allocated

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	1 590	0	1 590
Fresh	0	5	5
Picked	0	5	5
Done	0	7	7
Total	1 590	17	1 607

Accuracy

100.0%

Counts

1 607 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
	36.4%	(/.f64 (/.f64 (fma.f64 (.f64 z z) (neg.f64 y) y) (neg.f64 x)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
✓	62.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)
	62.5%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z)))
✓	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
✓	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	60.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	59.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) z) y))
	62.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))
✓	58.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))
✓	53.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y))
✓	92.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	48.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	61.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y (neg.f64 x)) z) z))
✓	58.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
	37.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))

Compiler

Compiled 584 to 246 computations (57.9% saved)

regimes112.0ms (1.1%)

Memory

25.0MiB live, 104.0MiB allocated

Counts

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

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

Calls

8 calls:

38.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
22.0ms	z
9.0ms	(/.f64 #s(literal 1 binary64) x)
9.0ms	x
9.0ms	y

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes130.0ms (1.3%)

Memory

-33.4MiB live, 84.2MiB allocated

Counts

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

Calls

8 calls:

48.0ms	x
43.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
8.0ms	(*.f64 z z)
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	y

Results

Accuracy	Segments	Branch
92.9%	1	`x`
96.0%	2	`y`
99.8%	2	`z`
97.2%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
92.9%	1	`(/.f64 #s(literal 1 binary64) x)`
99.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.8%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes64.0ms (0.7%)

Memory

2.3MiB live, 41.4MiB allocated

Counts

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

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

Calls

4 calls:

47.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	z
5.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.7%	2	`z`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.7%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes39.0ms (0.4%)

Memory

1.9MiB live, 44.6MiB allocated

Counts

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

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

Calls

4 calls:

23.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	z
5.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.4%	2	`z`
99.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.4%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes34.0ms (0.3%)

Memory

-6.1MiB live, 32.8MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.2%)

Memory

-13.1MiB live, 26.0MiB 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 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 y z) z)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) z) y))

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

Calls

4 calls:

12.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
4.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.5%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.4%	2	`z`
98.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.4%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes46.0ms (0.5%)

Memory

-9.4MiB live, 29.7MiB 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 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 y z) z)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))

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

Calls

4 calls:

36.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.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
80.9%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
96.6%	2	`z`
96.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
96.6%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes19.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
65.3%	2	`x`
65.3%	2	`(/.f64 #s(literal 1 binary64) x)`
71.0%	4	`y`
91.7%	2	`z`
91.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
91.7%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-29.7MiB live, 17.7MiB 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 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 y z) z)))

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

Calls

3 calls:

15.0ms	z
3.0ms	(*.f64 z z)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
88.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.8%	2	`(*.f64 z z)`
88.8%	2	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB 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 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
(/.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

4 calls:

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

Results

Accuracy	Segments	Branch
76.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
87.3%	2	`z`
87.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.3%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes65.0ms (0.7%)

Memory

-35.2MiB live, 43.6MiB allocated

Counts

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

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

Calls

8 calls:

26.0ms	z
25.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	y

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

32.2MiB live, 32.2MiB 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:

2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	x
1.0ms	y
1.0ms	z

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes59.0ms (0.6%)

Memory

-12.4MiB live, 26.7MiB 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:

50.0ms	y
1.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	x
1.0ms	z

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1537484313613068e+117	3.31094969733677e+119

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1839569149499041.5	2.7244259800485385e+25

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1839569149499041.5	2.7244259800485385e+25

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1839569149499041.5	2.7244259800485385e+25

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1839569149499041.5	2.7244259800485385e+25

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.590562552673081e-10	3.8398754438709945e-10

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.590562552673081e-10	3.8398754438709945e-10

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.2611750682094382e-5	1.9595600128271128e-5

Samples

3.0ms

64×

valid

Compiler

Compiled 105 to 79 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (53.2% of total)

ival-mult: 1.0ms (53.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch58.0ms (0.6%)

Memory

-23.9MiB live, 17.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	1.2611750682094382e-5	1.9595600128271128e-5

Samples

55.0ms

64×

valid

Compiler

Compiled 105 to 79 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 52.0ms (97.5% of total)

ival-div: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.2611750682094382e-5	1.9595600128271128e-5

Samples

3.0ms

64×

valid

Compiler

Compiled 105 to 79 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (54.4% of total)

ival-mult: 1.0ms (54.4% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify59.0ms (0.6%)

Memory

-10.7MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	244
1	78	244

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 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 x z))))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y)))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 y z) z))))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 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 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (.f64 y z))))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z z)) y)))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 y z) z))))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 y z)))))
(if (<=.f64 z #s(literal 700976274800963/36893488147419103232 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))

soundness1.2s (12.4%)

Memory

5.3MiB live, 954.2MiB allocated

Rules

18 180×	`accelerator-lowering-fma.f32`
18 180×	`accelerator-lowering-fma.f64`
4 988×	`-lowering-.f32`
4 988×	`-lowering-.f64`
4 636×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	128	100
2	870	98
3	7864	98
0	8815	91
0	25	107
1	128	107
2	792	101
3	5884	101
0	8051	99
0	9	29
1	53	29
2	355	29
3	2746	29
0	9071	26
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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 730 to 384 computations (47.4% saved)

preprocess301.0ms (3.1%)

Memory: -8.7MiB live, 751.5MiB allocated
Remove: (abs z)
Compiler: Compiled 1 418 to 624 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	127
1	53	127
2	98	127
3	142	127
4	166	127
5	174	127
6	242	127
7	242	127
0	242	124

Iter	Nodes	Cost
0	21	127
1	53	127
2	98	127
3	142	127
4	166	127
5	174	127
6	242	127
7	242	127
0	242	124

analyze66.0ms (0.7%)

sample1.3s (13.3%)

preprocess333.0ms (3.4%)

explain128.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize26.0ms (0.3%)

series12.0ms (0.1%)

rewrite388.0ms (3.9%)

simplify486.0ms (4.9%)

eval68.0ms (0.7%)

prune128.0ms (1.3%)

simplify16.0ms (0.2%)

localize115.0ms (1.2%)

series34.0ms (0.3%)

rewrite483.0ms (4.9%)

simplify330.0ms (3.4%)

eval323.0ms (3.3%)

prune206.0ms (2.1%)

simplify172.0ms (1.7%)

localize161.0ms (1.6%)

series30.0ms (0.3%)

rewrite304.0ms (3.1%)

simplify363.0ms (3.7%)

eval200.0ms (2%)

prune173.0ms (1.8%)

simplify10.0ms (0.1%)

localize95.0ms (1%)

series17.0ms (0.2%)

rewrite398.0ms (4%)

simplify554.0ms (5.6%)

eval377.0ms (3.8%)

prune217.0ms (2.2%)

regimes112.0ms (1.1%)

regimes130.0ms (1.3%)

regimes64.0ms (0.7%)

regimes39.0ms (0.4%)

regimes34.0ms (0.3%)

regimes12.0ms (0.1%)

regimes24.0ms (0.2%)

regimes46.0ms (0.5%)

regimes19.0ms (0.2%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes65.0ms (0.7%)

regimes12.0ms (0.1%)

regimes59.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0.1%)

bsearch58.0ms (0.6%)

bsearch6.0ms (0.1%)

simplify59.0ms (0.6%)

soundness1.2s (12.4%)

preprocess301.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	127
1	53	127
2	98	127
3	142	127
4	166	127
5	174	127
6	242	127
7	242	127
0	242	124