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

analyze65.0ms (0.6%)

Memory

7.0MiB live, 160.3MiB 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)

sample950.0ms (9.3%)

Memory

-10.5MiB live, 1 389.9MiB allocated

Samples

657.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-div: 208.0ms (46.4% of total)

ival-mult: 180.0ms (40.1% of total)

ival-add: 47.0ms (10.5% of total)

ival-true: 6.0ms (1.3% of total)

exact: 4.0ms (0.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess327.0ms (3.2%)

Memory

28.0MiB live, 65.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

explain126.0ms (1.2%)

Memory

-12.3MiB live, 221.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
7	-	-	`(.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	25	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	93
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	71
↳	`(*.f64 z z)`	overflow	71
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	7	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

35.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (42.9% of total)

ival-mult: 6.0ms (36.7% of total)

ival-add: 2.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify9.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.4%)

Memory

-15.5MiB live, 37.7MiB 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	97.4%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

34.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 3.0ms (37.4% of total)

ival-mult: 3.0ms (37.4% of total)

ival-add: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-18.5MiB live, 17.7MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>

Calls

24 calls:

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

simplify470.0ms (4.6%)

Memory

29.5MiB live, 776.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite389.0ms (3.8%)

Memory

-13.2MiB live, 561.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26

Stop Event

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

Counts

5 → 437

Calls

Call 1

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

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

eval113.0ms (1.1%)

Memory: -4.7MiB live, 111.0MiB allocated
Compiler: Compiled 15 307 to 1 509 computations (90.1% saved)

prune123.0ms (1.2%)

Memory

-0.3MiB live, 122.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	519	13	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	13	533

Accuracy

94.2%

Counts

533 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.2%	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	89.6%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
▶	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
▶	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	43.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	63.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
▶	88.4%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
	14.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 y y (.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y))) (fma.f64 y (.f64 z z) y))) (fma.f64 y y (.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (*.f64 z z)) y))))
▶	88.4%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y)) (/.f64 #s(literal 1 binary64) x))
	56.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
	44.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
▶	63.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Compiler

Compiled 402 to 220 computations (45.3% saved)

simplify12.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

194×	`lower-*.f32`
182×	`lower-*.f64`
72×	`associate-r`
72×	`associate-l`
70×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
0	44	150
1	88	150
2	131	150
3	226	150
4	270	150
5	272	150
0	272	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize292.0ms (2.9%)

Memory

-10.4MiB live, 102.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
✓	accuracy	97.4%	(fma.f64 y (*.f64 z z) y)
✓	accuracy	91.6%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
✓	accuracy	97.4%	(fma.f64 y (*.f64 z z) y)
✓	accuracy	91.6%	(.f64 x (fma.f64 y (.f64 z z) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	63.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	90.7%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 161 to 27 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (44.7% of total)

ival-div: 11.0ms (37.8% of total)

ival-add: 4.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (1%)

Memory

-4.2MiB live, 33.0MiB allocated

Counts

17 → 444

Calls

Call 1

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

Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>

Calls

111 calls:

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

simplify495.0ms (4.8%)

Memory

4.9MiB live, 881.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 838×	`lower-fma.f64`
16 838×	`lower-fma.f32`
4 116×	`lower-*.f64`
4 116×	`lower-*.f32`
3 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	4468
1	333	4454
2	910	4411
3	3396	4256
4	7734	4246
0	8228	3962

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

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

rewrite496.0ms (4.8%)

Memory

33.1MiB live, 817.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 984×	`lower-*.f32`
5 972×	`lower-*.f64`
5 270×	`lower-fma.f32`
5 264×	`lower-fma.f64`
4 816×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	122
0	44	119
1	190	119
2	1045	119
0	8707	119

Stop Event

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

Counts

17 → 2 409

Calls

Call 1

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

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

eval467.0ms (4.6%)

Memory: -6.6MiB live, 504.5MiB allocated
Compiler: Compiled 83 664 to 4 962 computations (94.1% saved)

prune329.0ms (3.2%)

Memory

27.7MiB live, 497.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	3 072	11	3 083
Fresh	7	1	8
Picked	4	1	5
Done	0	0	0
Total	3 083	13	3 096

Accuracy

100.0%

Counts

3 096 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 y (.f64 y (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)))))
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	46.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( z z) 1) (*.f64 z z)))) y)
	21.8%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 z z) (.f64 x (.f64 z z))) (.f64 x (-.f64 x (.f64 x (*.f64 z z)))))) y)
	63.8%	(/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y)
▶	98.3%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
▶	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
	91.1%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 z y) z y)))
	44.0%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y (* z z)) y) (.f64 y (.f64 z z)))))
▶	63.6%	(.f64 #s(approx (/ 1 (+ ( y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
▶	56.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
▶	63.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	63.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Compiler

Compiled 401 to 224 computations (44.1% saved)

simplify248.0ms (2.4%)

Memory

-6.8MiB live, 409.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

9 958×	`lower-fma.f32`
9 952×	`lower-fma.f64`
2 134×	`lower-*.f32`
2 122×	`lower-*.f64`
1 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	180
0	50	184
1	98	172
2	174	172
3	415	172
4	952	172
5	1985	172
6	5360	172
7	7817	172
0	8177	170

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1%)

Memory

-16.1MiB live, 140.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
✓	accuracy	98.2%	(.f64 (fma.f64 x (.f64 z z) x) y)
✓	accuracy	90.7%	(fma.f64 x (*.f64 z z) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	91.6%	(.f64 #s(approx (/ 1 (+ ( y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	54.5%	#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 (*.f64 x y))
✓	accuracy	87.1%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
✓	accuracy	53.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	63.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
✓	accuracy	99.3%	(fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y))
✓	accuracy	94.2%	(.f64 x (.f64 z y))

Samples

62.0ms

256×

valid

Compiler

Compiled 165 to 31 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 15.0ms (40.6% of total)

ival-mult: 14.0ms (37.9% of total)

ival-add: 6.0ms (16.2% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-11.5MiB live, 66.3MiB allocated

Counts

19 → 516

Calls

Call 1

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

Outputs
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt (* -1 (/ (- (pow z 2) 1) (* x y)))>
#<alt -1>
#<alt (- (pow z 2) 1)>
#<alt (- (pow z 2) 1)>
#<alt (- (pow z 2) 1)>
#<alt (pow z 2)>
#<alt (* (pow z 2) (- 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (- 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1 (/ 1 (pow z 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

129 calls:

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

simplify319.0ms (3.1%)

Memory

31.2MiB live, 435.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 534×	`lower-fma.f64`
6 534×	`lower-fma.f32`
3 104×	`lower-*.f64`
3 104×	`lower-*.f32`
2 606×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	4925
1	331	4880
2	927	4716
3	2830	4610
4	6960	4610
0	8041	4376

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 515

Calls

Call 1

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

rewrite344.0ms (3.4%)

Memory

16.7MiB live, 680.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 492×	`lower-fma.f32`
6 486×	`lower-fma.f64`
4 334×	`lower-*.f32`
4 322×	`lower-*.f64`
3 780×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
0	50	158
1	208	148
2	1356	148
0	8398	146

Stop Event

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

Counts

19 → 1 072

Calls

Call 1

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

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

eval217.0ms (2.1%)

Memory: -40.2MiB live, 331.0MiB allocated
Compiler: Compiled 33 173 to 2 085 computations (93.7% saved)

prune185.0ms (1.8%)

Memory

4.5MiB live, 281.3MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 666	4	1 670
Fresh	1	6	7
Picked	2	3	5
Done	0	1	1
Total	1 669	14	1 683

Accuracy

100.0%

Counts

1 683 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 y (.f64 y (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)))))
▶	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	46.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( z z) 1) (*.f64 z z)))) y)
▶	63.8%	(/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y)
▶	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
▶	97.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
	42.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 x (.f64 z z) x) (.f64 x (fma.f64 z z #s(literal -1 binary64)))) y) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal -1 binary64))))))
▶	46.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))) y))
	91.1%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 z y) z y)))
	44.0%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y (* z z)) y) (.f64 y (.f64 z z)))))
✓	63.6%	(.f64 #s(approx (/ 1 (+ ( y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
✓	56.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
✓	63.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	63.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Compiler

Compiled 352 to 207 computations (41.2% saved)

simplify12.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

154×	`lower-*.f32`
140×	`lower-*.f64`
70×	`lower-/.f32`
70×	`lower-fma.f32`
66×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	190
0	47	194
1	75	181
2	100	181
3	165	181
4	191	181
5	204	181
6	204	181
0	204	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize95.0ms (0.9%)

Memory

-6.6MiB live, 149.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x z) z x)
✓	accuracy	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x z) z x)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
✓	accuracy	98.2%	(.f64 (fma.f64 (.f64 x z) z x) y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))) y))
✓	accuracy	98.2%	(.f64 #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))) y)
✓	accuracy	89.8%	(.f64 x (.f64 z z))
✓	accuracy	50.3%	#s(approx (+ (* x (* z z)) x) (.f64 x (.f64 z z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	98.5%	(/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y)
✓	accuracy	53.6%	#s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
✓	accuracy	99.3%	(fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y))
✓	accuracy	91.3%	(.f64 (.f64 x z) y)

Samples

49.0ms

256×

valid

Compiler

Compiled 174 to 28 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (46.6% of total)

ival-div: 13.0ms (40.4% of total)

ival-add: 4.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

17 → 504

Calls

Call 1

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

Outputs
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<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))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
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#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (* x y)>
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#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
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#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
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#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
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#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
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#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
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#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
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#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
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#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
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#<alt (/ 1 (* x (+ 1 (pow z 2))))>
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#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

126 calls:

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

simplify416.0ms (4.1%)

Memory

-25.4MiB live, 502.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 318×	`lower-fma.f64`
5 318×	`lower-fma.f32`
3 258×	`lower--.f64`
3 258×	`lower--.f32`
2 850×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	5030
1	312	5016
2	832	4973
3	2491	4818
4	6405	4818
0	8337	4492

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

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

rewrite446.0ms (4.4%)

Memory

27.6MiB live, 659.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 160×	`lower-fma.f32`
9 156×	`lower-fma.f64`
6 016×	`lower-*.f32`
6 002×	`lower-*.f64`
3 550×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	156
0	47	160
1	177	147
2	916	147
0	8302	147

Stop Event

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

Counts

17 → 1 292

Calls

Call 1

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

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

eval267.0ms (2.6%)

Memory: 19.8MiB live, 481.9MiB allocated
Compiler: Compiled 57 416 to 2 810 computations (95.1% saved)

prune243.0ms (2.4%)

Memory

-42.5MiB live, 380.6MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	2 073	3	2 076
Fresh	1	4	5
Picked	0	5	5
Done	0	4	4
Total	2 074	16	2 090

Accuracy

100.0%

Counts

2 090 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 y (.f64 y (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64)))))
✓	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	46.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( z z) 1) (*.f64 z z)))) y)
✓	63.8%	(/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y)
	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) y) z (.f64 x y)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
✓	97.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
	38.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x (.f64 x (fma.f64 (.f64 z z) (.f64 z z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
	53.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 (.f64 x z) z)) y))
✓	46.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))) y))
	91.1%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 z y) z y)))
	44.0%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y (* z z)) y) (.f64 y (.f64 z z)))))
✓	63.6%	(.f64 #s(approx (/ 1 (+ ( y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
✓	56.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
✓	63.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	63.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Compiler

Compiled 659 to 249 computations (62.2% saved)

regimes86.0ms (0.8%)

Memory

1.5MiB live, 193.1MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
11.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
11.0ms	(/.f64 #s(literal 1 binary64) x)
11.0ms	y
10.0ms	x

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes42.0ms (0.4%)

Memory

22.6MiB live, 103.9MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`
98.3%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.3%	1	`(/.f64 #s(literal 1 binary64) x)`
98.3%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.3%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes39.0ms (0.4%)

Memory

4.3MiB live, 83.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes147.0ms (1.4%)

Memory

-25.5MiB live, 53.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

8 calls:

108.0ms	(*.f64 z z)
15.0ms	y
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
92.9%	2	`x`
95.7%	3	`y`
97.6%	2	`z`
91.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
92.9%	2	`(/.f64 #s(literal 1 binary64) x)`
97.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.6%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes17.0ms (0.2%)

Memory

-2.8MiB live, 35.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	z
4.0ms	(*.f64 z z)
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.5%	2	`z`
97.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.5%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.1%	2	`z`
97.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.1%	2	`(*.f64 z z)`
91.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes55.0ms (0.5%)

Memory

-27.9MiB live, 45.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	z
16.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	y
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	x

Results

Accuracy	Segments	Branch
84.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
79.2%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
63.9%	1	`(/.f64 #s(literal 1 binary64) x)`
63.9%	1	`x`
63.9%	1	`y`
90.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.5%	2	`(*.f64 z z)`
90.5%	2	`z`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.0%	2	`z`
88.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.0%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory

-27.9MiB live, 25.3MiB allocated

Accuracy

Total -4.9b remaining (-21.3%)

Threshold costs -4.9b (-21.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
63.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
63.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
63.9%	1	`z`
63.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
63.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.212134524334894e+163	2.9960277652044627e+165

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	7.237037615796585e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch13.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.11419441107840535	900.7742443436151

Samples

7.0ms

128×

valid

Compiler

Compiled 209 to 143 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.7% of total)

ival-mult: 2.0ms (49.7% of total)

ival-add: 1.0ms (24.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11419441107840535	900.7742443436151

Compiler

Compiled 209 to 143 computations (31.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013040363521543826	811394.2392728109

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify12.0ms (0.1%)

Memory

-17.1MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	235
1	83	235

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* x (* z z)) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))) y)))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (/ 1 ( x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* x (* z z)) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 y #s(approx (+ (* x (* z z)) x) (.f64 z (.f64 x z))))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y #s(approx (+ ( x (* z z)) x) (.f64 z (.f64 x z))))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 (.f64 x z) z)) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y #s(approx (+ ( x (* z z)) x) (.f64 z (.f64 x z))))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (* x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) (.f64 y #s(approx (+ ( x (* z z)) x) (.f64 x (.f64 z z))))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (/ 1 ( x (+ (* z z) 1))) (/.f64 #s(literal 1 binary64) x)) y) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

soundness1.3s (13.1%)

Memory

35.2MiB live, 1 131.0MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
16 838×	`lower-fma.f64`
16 838×	`lower-fma.f32`
9 160×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
0	50	158
1	208	148
2	1356	148
0	8398	146
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26
0	120	4468
1	333	4454
2	910	4411
3	3396	4256
4	7734	4246
0	8228	3962
0	28	156
0	47	160
1	177	147
2	916	147
0	8302	147
0	115	4925
1	331	4880
2	927	4716
3	2830	4610
4	6960	4610
0	8041	4376
0	26	122
0	44	119
1	190	119
2	1045	119
0	8707	119
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693

Stop Event

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

Compiler

Compiled 986 to 442 computations (55.2% saved)

preprocess696.0ms (6.8%)

Memory

-27.9MiB live, 308.6MiB allocated

Remove

(negabs y)

(abs z)

Compiler

Compiled 822 to 370 computations (55% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	190
0	47	194
1	75	181
2	100	181
3	165	181
4	191	181
5	204	181
6	204	181
0	204	181

Iter	Nodes	Cost
0	28	190
0	47	194
1	75	181
2	100	181
3	165	181
4	191	181
5	204	181
6	204	181
0	204	181

analyze65.0ms (0.6%)

sample950.0ms (9.3%)

preprocess327.0ms (3.2%)

explain126.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize44.0ms (0.4%)

series12.0ms (0.1%)

simplify470.0ms (4.6%)

rewrite389.0ms (3.8%)

eval113.0ms (1.1%)

prune123.0ms (1.2%)

simplify12.0ms (0.1%)

localize292.0ms (2.9%)

series103.0ms (1%)

simplify495.0ms (4.8%)

rewrite496.0ms (4.8%)

eval467.0ms (4.6%)

prune329.0ms (3.2%)

simplify248.0ms (2.4%)

localize100.0ms (1%)

series27.0ms (0.3%)

simplify319.0ms (3.1%)

rewrite344.0ms (3.4%)

eval217.0ms (2.1%)

prune185.0ms (1.8%)

simplify12.0ms (0.1%)

localize95.0ms (0.9%)

series10.0ms (0.1%)

simplify416.0ms (4.1%)

rewrite446.0ms (4.4%)

eval267.0ms (2.6%)

prune243.0ms (2.4%)

regimes86.0ms (0.8%)

regimes42.0ms (0.4%)

regimes39.0ms (0.4%)

regimes147.0ms (1.4%)

regimes17.0ms (0.2%)

regimes14.0ms (0.1%)

regimes55.0ms (0.5%)

regimes8.0ms (0.1%)

regimes19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.3s (13.1%)

preprocess696.0ms (6.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	190
0	47	194
1	75	181
2	100	181
3	165	181
4	191	181
5	204	181
6	204	181
0	204	181