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

analyze73.0ms (0.9%)

Memory

-10.2MiB live, 107.4MiB 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)

sample932.0ms (10.9%)

Memory

52.6MiB live, 1 454.4MiB allocated

Samples

608.0ms

8 256×

valid

Precisions

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

ival-div: 217.0ms (55.2% of total)

ival-mult: 120.0ms (30.5% of total)

ival-add: 42.0ms (10.7% of total)

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

exact: 5.0ms (1.3% of total)

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

Bogosity

preprocess326.0ms (3.8%)

Memory

12.9MiB live, 51.9MiB 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)

explain112.0ms (1.3%)

Memory

-41.6MiB live, 224.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	30	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	88
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	65
↳	`(*.f64 z z)`	overflow	65
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	4	0

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	0	0	222

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (53.9% of total)

ival-div: 8.0ms (30.8% of total)

ival-add: 2.0ms (7.7% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.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)

simplify8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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

localize169.0ms (2%)

Memory

-27.4MiB live, 48.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	98.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	89.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

138.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 126.0ms (96.5% of total)

ival-mult: 3.0ms (2.3% of total)

ival-add: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB 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
1.0ms	x	@	0	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	z	@	0	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	y	@	0	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	x	@	-inf	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	y	@	inf	(/ (/ 1 x) (* y (+ 1 (* z z))))

simplify479.0ms (5.6%)

Memory

24.5MiB live, 761.2MiB 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)

rewrite398.0ms (4.7%)

Memory

-32.7MiB live, 653.2MiB 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 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))))
(*.f64 (neg.f64 (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (fma.f64 (.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64)))) (.f64 (.f64 z z) (.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64)))))) #s(literal 1 binary64))) (fma.f64 (.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64)))) (-.f64 (.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (fma.f64 z (fma.f64 z (*.f64 z z) z) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z z)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(.f64 #s(literal 1 binary64) (.f64 z z))
(*.f64 z z)
(.f64 (.f64 z z) #s(literal 1 binary64))

eval60.0ms (0.7%)

Memory: 22.0MiB live, 171.2MiB allocated
Compiler: Compiled 15 307 to 1 509 computations (90.1% saved)

prune83.0ms (1%)

Memory

16.2MiB live, 220.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	520	12	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	521	12	533

Accuracy

94.3%

Counts

533 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.4%	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	90.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
▶	92.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
▶	89.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	47.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	56.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	87.5%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
	87.5%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z z) y)) (/.f64 #s(literal 1 binary64) x))
	51.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
▶	47.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
▶	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	15.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.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))))

Compiler

Compiled 326 to 202 computations (38% saved)

simplify19.0ms (0.2%)

Memory

-11.4MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

178×	`lower-/.f32`
178×	`lower-*.f32`
168×	`associate-/r*`
164×	`lower-*.f64`
164×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	165
0	45	160
1	86	160
2	134	160
3	260	160
4	293	160
5	293	160
0	293	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize146.0ms (1.7%)

Memory

-6.5MiB live, 150.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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	89.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	98.5%	(.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64)))
✓	accuracy	89.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
✓	accuracy	49.8%	#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	accuracy	88.6%	(.f64 x (.f64 y (*.f64 z z)))
✓	accuracy	88.4%	(.f64 y (.f64 z z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	56.2%	#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	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	90.0%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 11.0ms (35.2% of total)

ival-mult: 11.0ms (35.2% of total)

ival-add: 8.0ms (25.6% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

-4.2MiB live, 71.4MiB allocated

Counts

18 → 468

Calls

Call 1

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

Calls

117 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (/ 1 x) (+ (* (* y z) z) y))
3.0ms	z	@	inf	(/ 1 (* x (* y (* z z))))
2.0ms	y	@	0	(/ 1 (* x y))
1.0ms	x	@	0	(/ 1 (* x (* y (* z z))))
1.0ms	y	@	0	(/ 1 (* x (* y (* z z))))

simplify244.0ms (2.9%)

Memory

26.0MiB live, 436.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 960×	`lower-fma.f64`
6 960×	`lower-fma.f32`
4 332×	`lower-*.f64`
4 332×	`lower-*.f32`
1 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	4270
1	183	4260
2	492	4225
3	1861	4150
4	5402	4130
0	8171	3914

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

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

rewrite665.0ms (7.8%)

Memory

-45.4MiB live, 573.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 526×	`lower-*.f32`
5 512×	`lower-*.f64`
4 674×	`lower-/.f32`
4 660×	`lower-/.f64`
4 652×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	141
0	45	136
1	176	136
2	1046	132
0	8342	132

Stop Event

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

Counts

18 → 1 193

Calls

Call 1

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

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

eval188.0ms (2.2%)

Memory: 13.4MiB live, 470.6MiB allocated
Compiler: Compiled 34 680 to 2 579 computations (92.6% saved)

prune182.0ms (2.1%)

Memory

29.9MiB live, 474.0MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 670	15	1 685
Fresh	7	0	7
Picked	2	3	5
Done	0	0	0
Total	1 679	18	1 697

Accuracy

100.0%

Counts

1 697 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	63.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 y (.f64 z z) y) (.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
▶	92.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
	33.0%	(.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 (fma.f64 z z #s(literal -1 binary64))))
	51.4%	#s(approx (/ (/ 1 y) (* x (+ (* z z) 1))) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x y))))
▶	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z))
	52.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y))
	56.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y z)))
	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
▶	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	50.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 y x))))
	59.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z)))
▶	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z))))
✓	47.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	57.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z)))
	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
▶	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 479 to 280 computations (41.5% saved)

simplify21.0ms (0.2%)

Memory

-2.7MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

284×	`lower-*.f32`
270×	`lower-*.f64`
164×	`times-frac`
142×	`lower-/.f32`
128×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	190
0	44	186
1	88	182
2	143	182
3	262	182
4	444	182
5	493	182
0	493	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize151.0ms (1.8%)

Memory

-17.1MiB live, 142.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z)))
✓	accuracy	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)
✓	accuracy	89.0%	(.f64 y (.f64 x z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))
✓	accuracy	93.9%	(.f64 (.f64 y z) (*.f64 x z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	accuracy	98.8%	(.f64 y (fma.f64 x (.f64 z z) x))
✓	accuracy	90.0%	(fma.f64 x (*.f64 z z) x)

Samples

48.0ms

256×

valid

Compiler

Compiled 161 to 25 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 18.0ms (55% of total)

ival-div: 12.0ms (36.7% of total)

ival-add: 2.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-24.2MiB live, 34.6MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

simplify321.0ms (3.7%)

Memory

21.1MiB live, 337.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 688×	`lower-fma.f64`
6 688×	`lower-fma.f32`
3 706×	`lower-*.f64`
3 706×	`lower-*.f32`
2 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	4956
1	193	4946
2	523	4926
3	1716	4836
4	5112	4816
0	8204	4627

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

Calls

Call 1

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

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

rewrite458.0ms (5.3%)

Memory

7.0MiB live, 364.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 078×	`lower-fma.f32`
5 076×	`lower-fma.f64`
4 906×	`lower-*.f32`
4 892×	`lower-*.f64`
3 710×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	44	162
1	163	158
2	950	158
3	7839	158
0	8897	158

Stop Event

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

Counts

19 → 1 148

Calls

Call 1

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

eval267.0ms (3.1%)

Memory: 13.9MiB live, 279.6MiB allocated
Compiler: Compiled 31 057 to 2 717 computations (91.3% saved)

prune401.0ms (4.7%)

Memory

12.0MiB live, 250.7MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 755	4	1 759
Fresh	4	6	10
Picked	0	5	5
Done	1	2	3
Total	1 760	17	1 777

Accuracy

100.0%

Counts

1 777 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
	59.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) (.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) y))) (.f64 x (fma.f64 z z #s(literal -1 binary64))))
	33.0%	(.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 (fma.f64 z z #s(literal -1 binary64))))
	51.4%	#s(approx (/ (/ 1 y) (* x (+ (* z z) 1))) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x y))))
	57.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) z)) z))
✓	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z))
▶	56.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x z)))
▶	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))))
▶	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	50.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 y x))))
▶	59.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z)))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z))))
✓	47.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 391 to 233 computations (40.4% saved)

simplify89.0ms (1%)

Memory

-20.1MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

284×	`lower-*.f32`
274×	`lower-*.f64`
196×	`times-frac`
142×	`lower-/.f32`
126×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	223
0	40	219
1	78	219
2	136	219
3	289	219
4	422	219
5	462	219
6	467	219
0	467	214

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize96.0ms (1.1%)

Memory

-4.2MiB live, 220.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z)))
✓	accuracy	97.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))
✓	accuracy	89.0%	(.f64 y (.f64 x z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 y z))
✓	accuracy	94.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x z)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))
✓	accuracy	97.7%	(.f64 (.f64 y (*.f64 x z)) z)
✓	accuracy	89.0%	(.f64 y (.f64 x z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	56.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	97.9%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z)))
✓	accuracy	89.0%	(.f64 y (.f64 x z))
✓	accuracy	59.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z))))

Samples

49.0ms

256×

valid

Compiler

Compiled 177 to 24 computations (86.4% saved)

Precisions

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

ival-div: 17.0ms (53% of total)

ival-mult: 14.0ms (43.6% of total)

ival-add: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-11.5MiB live, 25.7MiB allocated

Counts

18 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ (/ 1 (* y z)) (* x z))
0.0ms	y	@	0	(/ 1 (* y z))
0.0ms	y	@	-inf	(/ 1 (* y z))
0.0ms	y	@	inf	(/ 1 (* y z))
0.0ms	z	@	inf	(/ 1 (* y z))

simplify291.0ms (3.4%)

Memory

11.4MiB live, 489.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 522×	`lower-fma.f64`
10 522×	`lower-fma.f32`
2 872×	`lower-*.f64`
2 872×	`lower-*.f32`
1 800×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	5096
1	125	5086
2	358	5076
3	1147	4976
4	3391	4876
5	6365	4866
0	8270	4731

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

rewrite217.0ms (2.5%)

Memory

0.9MiB live, 474.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 386×	`lower-*.f32`
3 376×	`lower-*.f64`
2 520×	`lower-/.f32`
2 504×	`lower-/.f64`
1 814×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	182
0	40	178
1	152	178
2	863	178
3	5632	162
0	8111	157

Stop Event

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

Counts

18 → 870

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (log.f64 (.f64 z (.f64 z (*.f64 y x))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (.f64 z (.f64 y x))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z (.f64 z (.f64 y x))) (.f64 z (.f64 z (.f64 y x))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 z (.f64 z (*.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (neg.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z (.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 y (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 z (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (.f64 z x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 z) (.f64 z (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (.f64 z (.f64 z (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y x))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z (*.f64 z (neg.f64 x)))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z (.f64 y (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z (.f64 z (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (.f64 z (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 z (.f64 y (neg.f64 z))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z y))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 z (.f64 y x))) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 z (neg.f64 z)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) z)) (.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x)))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z y)))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 z x)) (.f64 y (neg.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) z) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (neg.f64 x)))) (neg.f64 y))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z x))) #s(literal 1 binary64)) y)
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 z x)) #s(literal 1 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z y)))) (neg.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z x)))) (neg.f64 y))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (*.f64 y (neg.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (.f64 z y))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) #s(literal -1 binary64)) (.f64 z x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (.f64 z (.f64 y x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 z (.f64 y x))) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 z x)) #s(literal -1 binary64)) (.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (neg.f64 z)) y)
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (.f64 z (.f64 z (*.f64 y x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 z (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z (.f64 z (.f64 y x))) (.f64 z (.f64 z (*.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (.f64 z z) (.f64 (.f64 z (.f64 y x)) (.f64 z (*.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 z (.f64 y x)) (.f64 z (.f64 y x))) (*.f64 z z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 y x)))))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z x))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 y x)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z (.f64 y x)))))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (.f64 z (*.f64 y x))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z x)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (neg.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (neg.f64 z)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z (neg.f64 x)))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 z x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z y)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z z)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z x))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 z (*.f64 y x))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x)))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 z (*.f64 z x))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z y)))))
(.f64 (pow.f64 (.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 z y) #s(literal -1/2 binary64)) (.f64 z x)))
(.f64 (pow.f64 (.f64 z y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 z (*.f64 y x))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y x)))))
(.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) z))
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eval223.0ms (2.6%)

Memory: 25.1MiB live, 564.6MiB allocated
Compiler: Compiled 22 340 to 1 491 computations (93.3% saved)

prune127.0ms (1.5%)

Memory

-29.8MiB live, 306.8MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	1 755	3	1 758
Fresh	2	3	5
Picked	1	4	5
Done	1	6	7
Total	1 759	16	1 775

Accuracy

100.0%

Counts

1 775 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
	59.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) (.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) y))) (.f64 x (fma.f64 z z #s(literal -1 binary64))))
	33.0%	(.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 (fma.f64 z z #s(literal -1 binary64))))
	51.4%	#s(approx (/ (/ 1 y) (* x (+ (* z z) 1))) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x y))))
✓	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z))
✓	56.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x z)))
	57.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y x) z)))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	56.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z y) x) z)))
	57.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (*.f64 z x)) y)))
✓	59.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z)))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z))))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	59.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
✓	56.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 625 to 238 computations (61.9% saved)

regimes143.0ms (1.7%)

Memory

-1.4MiB live, 152.8MiB allocated

Counts

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

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

Calls

8 calls:

67.0ms	(/.f64 #s(literal 1 binary64) x)
14.0ms	y
12.0ms	x
11.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
10.0ms	z

Results

Accuracy	Segments	Branch
92.5%	1	`x`
94.9%	2	`y`
99.7%	2	`z`
98.5%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
92.5%	1	`(/.f64 #s(literal 1 binary64) x)`
99.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.7%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes32.0ms (0.4%)

Memory

26.4MiB live, 69.3MiB allocated

Counts

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

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

Calls

4 calls:

10.0ms	(*.f64 z z)
8.0ms	z
7.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes31.0ms (0.4%)

Memory

-0.6MiB live, 76.4MiB allocated

Counts

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

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

Calls

4 calls:

9.0ms	z
8.0ms	(*.f64 z z)
7.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.6%	2	`z`
99.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.6%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory

-17.0MiB live, 21.7MiB allocated

Counts

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-0.9MiB live, 42.6MiB allocated

Counts

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

Calls

4 calls:

7.0ms	(*.f64 z z)
5.0ms	z
5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.2%	2	`z`
99.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.2%	2	`(*.f64 z z)`
99.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes22.0ms (0.3%)

Memory

-4.9MiB live, 32.7MiB 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) 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 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
#s(approx (/ (/ 1 y) (* x (+ (* z z) 1))) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 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 (.f64 y z) (*.f64 x z))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 y x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (*.f64 z x)) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z y) x) z)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))

Outputs

#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 (*.f64 y (*.f64 x z)) z)))

Calls

5 calls:

6.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	z
4.0ms	(*.f64 z z)
3.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
84.9%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.2%	2	`z`
98.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.2%	2	`(*.f64 z z)`
86.0%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB 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) 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 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
#s(approx (/ (/ 1 y) (* x (+ (* z z) 1))) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 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 (.f64 y z) (*.f64 x z))))

Outputs

#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 (*.f64 y z) (*.f64 x z))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.1%	2	`z`
96.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
96.1%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes40.0ms (0.5%)

Memory

-7.2MiB live, 30.8MiB 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) 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 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
#s(approx (/ (/ 1 y) (* x (+ (* z z) 1))) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))

Outputs

#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)))))

Calls

6 calls:

27.0ms	(*.f64 z z)
3.0ms	y
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
56.0%	1	`x`
56.0%	1	`(/.f64 #s(literal 1 binary64) x)`
61.2%	2	`y`
87.2%	2	`z`
87.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.2%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes18.0ms (0.2%)

Memory

8.6MiB live, 47.0MiB allocated

Counts

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
56.0%	1	`(/.f64 #s(literal 1 binary64) x)`
56.0%	1	`y`
56.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.0%	1	`z`
56.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.0%	1	`(*.f64 z z)`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes23.0ms (0.3%)

Memory

-16.2MiB live, 40.8MiB allocated

Counts

2 → 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) x) y))

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

Calls

8 calls:

12.0ms	(*.f64 z z)
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	y
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
56.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.0%	1	`x`
56.0%	1	`y`
56.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.0%	1	`z`
56.0%	1	`(/.f64 #s(literal 1 binary64) x)`
56.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.0%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

-4.8MiB live, 35.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.0%	1	`x`
56.0%	1	`y`
56.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.0%	1	`(/.f64 #s(literal 1 binary64) x)`
56.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.0%	1	`(*.f64 z z)`
56.0%	1	`z`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5106004823816233e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2113365537676673e+258	1.9932818570070315e+259

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5106004823816233e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5106004823816233e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5106004823816233e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5106004823816233e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49981478470181234	831.3870155728624

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49981478470181234	831.3870155728624

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49981478470181234	831.3870155728624

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify12.0ms (0.1%)

Memory

-14.3MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	438
1	92	438
2	105	438
3	114	438
4	119	438
5	120	438

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999643869202601833787684383696604057883061158907403507350476772637470038731707205691382212371948847737817627161465582505612835893571796906113885524272303729023396898222485216041336918158235836889309742729449874044809349717855383877140544617447424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #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 (.f64 y (*.f64 x z)) z))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #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 (.f64 y z) (*.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #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))))))
#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 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Outputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z x))) z)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999643869202601833787684383696604057883061158907403507350476772637470038731707205691382212371948847737817627161465582505612835893571796906113885524272303729023396898222485216041336918158235836889309742729449874044809349717855383877140544617447424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999643869202601833787684383696604057883061158907403507350476772637470038731707205691382212371948847737817627161465582505612835893571796906113885524272303729023396898222485216041336918158235836889309742729449874044809349717855383877140544617447424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z x))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z x))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z x))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 x z)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 z x)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (*.f64 z x))))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #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 (.f64 y (*.f64 x z)) z))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 y (neg.f64 x)))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (*.f64 z x))))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #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 (.f64 y z) (*.f64 x z)))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 y (neg.f64 x)))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z)))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #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))))))
(if (<=.f64 (.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 y (neg.f64 x)))) #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 (/.f64 #s(literal 1 binary64) y) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.1s (13%)

Memory

31.2MiB live, 695.7MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
5 526×	`lower-*.f32`
5 512×	`lower-*.f64`
5 078×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	44	162
1	163	158
2	950	158
3	7839	158
0	8897	158
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26
0	28	141
0	45	136
1	176	136
2	1046	132
0	8342	132
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×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 743 to 323 computations (56.5% saved)

preprocess232.0ms (2.7%)

Memory

3.9MiB live, 430.4MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 1 508 to 552 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	223
0	40	219
1	78	219
2	136	219
3	289	219
4	422	219
5	462	219
6	467	219
0	467	214

Iter	Nodes	Cost
0	27	223
0	40	219
1	78	219
2	136	219
3	289	219
4	422	219
5	462	219
6	467	219
0	467	214

analyze73.0ms (0.9%)

sample932.0ms (10.9%)

preprocess326.0ms (3.8%)

explain112.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize169.0ms (2%)

series9.0ms (0.1%)

simplify479.0ms (5.6%)

rewrite398.0ms (4.7%)

eval60.0ms (0.7%)

prune83.0ms (1%)

simplify19.0ms (0.2%)

localize146.0ms (1.7%)

series31.0ms (0.4%)

simplify244.0ms (2.9%)

rewrite665.0ms (7.8%)

eval188.0ms (2.2%)

prune182.0ms (2.1%)

simplify21.0ms (0.2%)

localize151.0ms (1.8%)

series26.0ms (0.3%)

simplify321.0ms (3.7%)

rewrite458.0ms (5.3%)

eval267.0ms (3.1%)

prune401.0ms (4.7%)

simplify89.0ms (1%)

localize96.0ms (1.1%)

series13.0ms (0.2%)

simplify291.0ms (3.4%)

rewrite217.0ms (2.5%)

eval223.0ms (2.6%)

prune127.0ms (1.5%)

regimes143.0ms (1.7%)

regimes32.0ms (0.4%)

regimes31.0ms (0.4%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes21.0ms (0.2%)

regimes22.0ms (0.3%)

regimes8.0ms (0.1%)

regimes40.0ms (0.5%)

regimes18.0ms (0.2%)

regimes23.0ms (0.3%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.1s (13%)

preprocess232.0ms (2.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	223
0	40	219
1	78	219
2	136	219
3	289	219
4	422	219
5	462	219
6	467	219
0	467	214