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

analyze61.0ms (0.5%)

Memory

-10.3MiB live, 142.7MiB 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)

sample917.0ms (8%)

Memory

15.8MiB live, 1 519.2MiB allocated

Samples

645.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-div: 175.0ms (45.8% of total)

ival-mult: 159.0ms (41.6% of total)

ival-add: 38.0ms (9.9% of total)

ival-true: 5.0ms (1.3% of total)

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

...in/eval/compile.rkt:110:19: 2.0ms (0.5% of total)

Bogosity

preprocess328.0ms (2.9%)

Memory

-0.2MiB live, 77.3MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain130.0ms (1.1%)

Memory

-17.0MiB live, 242.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
31	-	-	`(/.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	31	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	90
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	64
↳	`(*.f64 z z)`	overflow	64
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	4	0

Confusion

	Predicted +	Predicted -
+	35	0
-	0	221

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	0	0	221

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	221
1	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

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

ival-div: 6.0ms (37.7% of total)

ival-mult: 6.0ms (37.7% of total)

ival-add: 2.0ms (12.6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.2%	(/.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

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

142×	`-lowering-.f32`
142×	`-lowering-.f64`
72×	`associate-r`
70×	`accelerator-lowering-fma.f32`
70×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.4%)

Memory

-3.3MiB live, 34.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

32.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 18.0ms (74.2% of total)

ival-div: 3.0ms (12.4% of total)

ival-mult: 3.0ms (12.4% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (/ (/ 1 x) (* y (+ 1 (* z z))))>
#<alt (/ 1 x)>
#<alt (* y (+ 1 (* z z)))>
#<alt (+ 1 (* z z))>
#<alt (* 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 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 (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
2.0ms	x	@	0	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	z	@	0	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	y	@	0	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	x	@	-inf	(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms	y	@	inf	(/ (/ 1 x) (* y (+ 1 (* z z))))

rewrite474.0ms (4.2%)

Memory

0.0MiB live, 744.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 437

Calls

Call 1

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

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

simplify521.0ms (4.6%)

Memory

4.9MiB live, 849.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	814
1	135	812
2	389	807
3	1473	790
4	3951	754
5	7661	754
0	8207	693

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval69.0ms (0.6%)

Memory: -11.5MiB live, 149.0MiB allocated
Compiler: Compiled 16 086 to 1 519 computations (90.6% saved)

prune81.0ms (0.7%)

Memory

13.7MiB live, 248.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	519	14	533
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	14	534

Accuracy

94.9%

Counts

534 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶	93.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) y))
	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x y))
	87.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) x)
▶	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
	49.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))
	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))
	88.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	44.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	55.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
▶	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	92.8%	(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
▶	88.4%	(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x))

Compiler

Compiled 380 to 256 computations (32.6% saved)

simplify171.0ms (1.5%)

Memory

6.1MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
✓	cost-diff	64	(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 y (.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓	cost-diff	128	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) y))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	167
1	60	164
2	156	164
3	389	164
4	718	164
5	1158	164
6	1635	164
7	2046	164
8	2801	164
9	3174	164
10	3264	164
11	3272	164
12	3273	164
13	3293	164
14	3301	164
15	3301	164
16	3301	164
17	3301	164
0	3301	152

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ (/ -1 x) (+ 1 (* z z))) (- 0 y))
(/ (/ -1 x) (+ 1 (* z z)))
(/ -1 x)
-1
x
(+ 1 (* z z))
1
(* z z)
z
(- 0 y)
0
y
(/ 1 (* x y))
1
(* x y)
x
y
(/ (/ 1 x) (* y (* z z)))
(/ 1 x)
1
x
(* y (* z z))
y
(* z z)
z
(/ (/ 1 (* x (+ 1 (* z z)))) y)
(/ 1 (* x (+ 1 (* z z))))
1
(* x (+ 1 (* z z)))
x
(+ 1 (* z z))
(* z z)
z
y
(neg (/ (/ (/ -1 (+ 1 (* z z))) y) x))
(/ (/ (/ -1 (+ 1 (* z z))) y) x)
(/ (/ -1 (+ 1 (* z z))) y)
(/ -1 (+ 1 (* z z)))
-1
(+ 1 (* z z))
1
(* z z)
z
y
x

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

localize133.0ms (1.2%)

Memory

-34.7MiB live, 185.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓	accuracy	98.6%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y)
✓	accuracy	90.0%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	90.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	88.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	accuracy	88.2%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) y))
✓	accuracy	90.1%	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 z z)))

Samples

52.0ms

256×

valid

Compiler

Compiled 170 to 26 computations (84.7% saved)

Precisions

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

ival-div: 19.0ms (65.8% of total)

ival-mult: 6.0ms (20.8% of total)

ival-sub: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

5.2MiB live, 41.2MiB allocated

Counts

17 → 408

Calls

Call 1

Inputs
#<alt (/ (/ (/ -1 x) (+ 1 (* z z))) (- 0 y))>
#<alt (/ (/ -1 x) (+ 1 (* z z)))>
#<alt (/ -1 x)>
#<alt (+ 1 (* z z))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (/ (/ 1 x) (* y (* z z)))>
#<alt (/ 1 x)>
#<alt (* y (* z z))>
#<alt (* z z)>
#<alt (/ (/ 1 (* x (+ 1 (* z z)))) y)>
#<alt (/ 1 (* x (+ 1 (* z z))))>
#<alt (* x (+ 1 (* z z)))>
#<alt (neg (/ (/ (/ -1 (+ 1 (* z z))) y) x))>
#<alt (/ (/ (/ -1 (+ 1 (* z z))) y) x)>
#<alt (/ (/ -1 (+ 1 (* z z))) y)>
#<alt (/ -1 (+ 1 (* 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))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 x)>
#<alt (- (/ (pow z 2) x) (/ 1 x))>
#<alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))>
#<alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ -1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))>
#<alt (/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))>
#<alt (/ -1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))>
#<alt (/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (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>
#<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))>
#<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 (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)>
#<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 (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 (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 (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 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 (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))>
#<alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (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 (pow z 2)))) (/ 1 (* x y))) (pow z 2))>
#<alt (/ (- (/ 1 (* x (* y (pow z 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6))))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))>
#<alt (/ -1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) (pow z 2))>
#<alt (/ (- (/ 1 (* x (* y (pow z 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6))))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 y)>
#<alt (- (/ (pow z 2) y) (/ 1 y))>
#<alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))>
#<alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ -1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))>
#<alt (/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))>
#<alt (/ -1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))>
#<alt (/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt (/ -1 (* y (+ 1 (pow z 2))))>
#<alt -1>
#<alt (- (pow z 2) 1)>
#<alt (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)>
#<alt (- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1)>
#<alt (/ -1 (pow z 2))>
#<alt (/ (- (/ 1 (pow z 2)) 1) (pow z 2))>
#<alt (/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2))>
#<alt (/ -1 (pow z 2))>
#<alt (/ (- (/ 1 (pow z 2)) 1) (pow z 2))>
#<alt (/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2))>

Calls

102 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(* x (+ 1 (* z z)))
4.0ms	z	@	0	(* x (+ 1 (* z z)))
2.0ms	x	@	0	(/ -1 x)
1.0ms	x	@	0	(/ (/ 1 x) (* y (* z z)))
1.0ms	y	@	0	(/ (/ 1 x) (* y (* z z)))

rewrite642.0ms (5.6%)

Memory

6.0MiB live, 1 273.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 098×	`accelerator-lowering-fma.f32`
6 098×	`accelerator-lowering-fma.f64`
4 714×	`-lowering-.f32`
4 714×	`-lowering-.f64`
3 952×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	124
1	153	121
2	1141	119
0	8369	109

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 2 772

Calls

Call 1

Inputs
(/ (/ (/ -1 x) (+ 1 (* z z))) (- 0 y))
(/ (/ -1 x) (+ 1 (* z z)))
(/ -1 x)
(+ 1 (* z z))
(/ 1 (* x y))
(* x y)
(/ (/ 1 x) (* y (* z z)))
(/ 1 x)
(* y (* z z))
(* z z)
(/ (/ 1 (* x (+ 1 (* z z)))) y)
(/ 1 (* x (+ 1 (* z z))))
(* x (+ 1 (* z z)))
(neg (/ (/ (/ -1 (+ 1 (* z z))) y) x))
(/ (/ (/ -1 (+ 1 (* z z))) y) x)
(/ (/ -1 (+ 1 (* z z))) y)
(/ -1 (+ 1 (* z z)))

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

simplify556.0ms (4.9%)

Memory

31.4MiB live, 942.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 808×	`accelerator-lowering-fma.f32`
13 808×	`accelerator-lowering-fma.f64`
4 060×	`+-lowering-+.f64`
4 060×	`+-lowering-+.f32`
3 358×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	4174
1	399	4162
2	1123	4084
3	3896	3968
0	8221	3770

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ -1 (* x (pow z 2)))
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(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (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
(+ 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))
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(/ 1 (* x y))
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(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
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(* x y)
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(* x y)
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(/ 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 (pow z 2))))
(/ 1 x)
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(/ 1 x)
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(* y (pow z 2))
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(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
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(pow z 2)
(pow z 2)
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(pow z 2)
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(pow z 2)
(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)))))
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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) (* x y))) (/ 1 (* x y)))
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(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
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(/ 1 (* x (pow z 2)))
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(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
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x
(+ x (* x (pow z 2)))
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(* (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 (* 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 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x y))
(- (/ (pow z 2) (* x y)) (/ 1 (* x y)))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ -1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) (pow z 2))
(/ (- (/ 1 (* x (* y (pow z 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/ (- (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6))))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/ -1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) (pow z 2))
(/ (- (/ 1 (* x (* y (pow z 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/ (- (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6))))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 y)
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(- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y))
(/ -1 (* y (pow z 2)))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/ -1 (* y (pow z 2)))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
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(/ -1 (* y (+ 1 (pow z 2))))
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(/ -1 (* y (+ 1 (pow z 2))))
(/ -1 (* y (+ 1 (pow z 2))))
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(/ -1 (* y (+ 1 (pow z 2))))
(/ -1 (* y (+ 1 (pow z 2))))
(/ -1 (* y (+ 1 (pow z 2))))
-1
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(- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)
(- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1)
(/ -1 (pow z 2))
(/ (- (/ 1 (pow z 2)) 1) (pow z 2))
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(/ (- (/ 1 (pow z 2)) 1) (pow z 2))
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Outputs
(/ 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))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
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(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 z z) #s(literal -1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 z (.f64 z (-.f64 #s(literal 1 binary64) (.f64 z z))))))
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 z z) #s(literal -1 binary64))))
(/ -1 (* x (pow z 2)))
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(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ -1 (* x (pow z 2)))
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(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z))) (.f64 z z))
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(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 z z)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ -1 x)
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1
#s(literal 1 binary64)
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(* x y)
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(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) x)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(- (/ (pow z 2) (* x y)) (/ 1 (* x y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (.f64 z z) #s(literal -1 binary64)))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 #s(literal -1 binary64) (.f64 z (.f64 z (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (.f64 z z) #s(literal -1 binary64))))
(/ -1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z z))) x)
(/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) (pow z 2))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 z z)))
(/ (- (/ 1 (* x (* y (pow z 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6))))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
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(/ -1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z z))) x)
(/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) (pow z 2))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 z z)))
(/ (- (/ 1 (* x (* y (pow z 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6))))) (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (.f64 z z))) (.f64 z z))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ (pow z 2) y) (/ 1 y))
(.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (.f64 z z) #s(literal -1 binary64)))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))
(.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (.f64 z (.f64 z (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (.f64 z z) #s(literal -1 binary64))))
(/ -1 (* y (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z z)))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 6 binary64)))) (.f64 z z))
(/ -1 (* y (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z z)))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 6 binary64)))) (.f64 z z))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ -1 (* y (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
-1
#s(literal -1 binary64)
(- (pow z 2) 1)
(+.f64 (*.f64 z z) #s(literal -1 binary64))
(- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 z (.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(/ -1 (pow z 2))
(/.f64 #s(literal -1 binary64) (*.f64 z z))
(/ (- (/ 1 (pow z 2)) 1) (pow z 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z))
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ -1 (pow z 2))
(/.f64 #s(literal -1 binary64) (*.f64 z z))
(/ (- (/ 1 (pow z 2)) 1) (pow z 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z))
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))

eval429.0ms (3.8%)

Memory: 38.9MiB live, 882.0MiB allocated
Compiler: Compiled 91 125 to 4 910 computations (94.6% saved)

prune1.2s (10.2%)

Memory

-15.0MiB live, 478.5MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	3 413	13	3 426
Fresh	7	2	9
Picked	3	2	5
Done	0	0	0
Total	3 423	17	3 440

Accuracy

100.0%

Counts

3 440 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) z)
	93.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	52.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))))) y)
▶	55.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 x z))
✓	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
	55.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 z y))
	60.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	46.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 z y) z))
▶	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	55.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z)))
	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
▶	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
	50.4%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	60.2%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 404 to 257 computations (36.4% saved)

simplify482.0ms (4.2%)

Memory

-49.6MiB live, 267.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 x z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 z z))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
✓	cost-diff	6272	(fma.f64 (*.f64 x z) z x)

Rules

8 918×	`accelerator-lowering-fma.f32`
8 918×	`accelerator-lowering-fma.f64`
2 660×	`-lowering-.f32`
2 660×	`-lowering-.f64`
1 506×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
1	51	107
2	105	107
3	218	107
4	491	107
5	950	107
6	1633	107
7	2792	107
8	3754	107
9	6774	107
0	8166	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize124.0ms (1.1%)

Memory

-2.8MiB live, 75.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓	accuracy	96.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 x z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	89.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x z) z x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))

Samples

78.0ms

256×

valid

Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 53.0ms (83.9% of total)

ival-mult: 8.0ms (12.7% of total)

ival-sub: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

16 → 372

Calls

Call 1

Inputs
#<alt (+ (* (* x z) z) x)>
#<alt (/ (/ 1 (+ (* (* x z) z) x)) y)>
#<alt (/ 1 (+ (* (* x z) z) x))>
#<alt (* x z)>
#<alt (/ (/ 1 x) y)>
#<alt (/ 1 x)>
#<alt (/ x (/ 1 y))>
#<alt (/ 1 (/ x (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* z z)) (* x y))>
#<alt (- 1 (* z z))>
#<alt (* z z)>
#<alt (* x y)>
#<alt (/ (/ 1 (* z y)) (* x z))>
#<alt (/ 1 (* z y))>
#<alt (* z y)>

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

Calls

93 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/ (/ 1 (+ (* (* x z) z) x)) y)
1.0ms	x	@	-inf	(/ (/ 1 (+ (* (* x z) z) x)) y)
1.0ms	x	@	inf	(/ (- 1 (* z z)) (* x y))
0.0ms	x	@	-inf	(/ (- 1 (* z z)) (* x y))
0.0ms	x	@	-inf	(/ 1 (+ (* (* x z) z) x))

rewrite638.0ms (5.6%)

Memory

4.7MiB live, 752.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 722×	`accelerator-lowering-fma.f32`
5 722×	`accelerator-lowering-fma.f64`
5 278×	`-lowering-.f32`
5 278×	`-lowering-.f64`
4 130×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
1	138	86
2	1003	86
0	8372	83

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 061

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 z z)))
(+.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z z)))))
(+.f64 (.f64 x (.f64 z z)) x)
(+.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z z)))) x)
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(-.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 z z)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z z)))))
(fma.f64 x (*.f64 z z) x)
(fma.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 x (/.f64 (.f64 z (.f64 z (.f64 x (.f64 z z)))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 z (*.f64 x z) x)
(fma.f64 z (/.f64 x (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 z (/.f64 (.f64 x (.f64 z (.f64 x (.f64 z z)))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x z) z x)
(fma.f64 (.f64 x z) (/.f64 (.f64 z (.f64 x (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 z z)) #s(literal 1 binary64) x)
(fma.f64 (.f64 x (.f64 z z)) (/.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 z z)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z z)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 z z)) x)
(fma.f64 (*.f64 z z) x x)
(fma.f64 (.f64 z z) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 z z)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z z)))))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (.f64 x (.f64 z z)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z z)))))
(fma.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 z z))) (/.f64 (.f64 z z) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 z (.f64 x (.f64 z z)))) (/.f64 z (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (.f64 z (.f64 x (.f64 z z))) (/.f64 (.f64 x z) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (-.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (*.f64 z z)))))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 x (.f64 z (.f64 x (.f64 z z)))) (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z (.f64 z (.f64 x (*.f64 z z)))) x))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 z (.f64 z (.f64 x (.f64 z z)))) x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (.f64 (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 z (.f64 z (.f64 x (*.f64 z z)))) x))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (.f64 (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))) (.f64 x x))) (.f64 (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))) (.f64 x (+.f64 (*.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) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))))) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z))))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1/2 binary64))) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))))) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))))) (+.f64 (/.f64 (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z))))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 z z) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 z z)) (.f64 z (.f64 x (.f64 z (.f64 x (.f64 z z)))))) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) (.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))
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simplify369.0ms (3.2%)

Memory

15.6MiB live, 991.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 102×	`accelerator-lowering-fma.f32`
11 102×	`accelerator-lowering-fma.f64`
4 086×	`-lowering-.f32`
4 086×	`-lowering-.f64`
2 120×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	2623
1	254	2442
2	678	2422
3	2132	2396
4	6051	2376
0	8433	2317

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval178.0ms (1.6%)

Memory: 36.6MiB live, 473.3MiB allocated
Compiler: Compiled 27 588 to 2 493 computations (91% saved)

prune174.0ms (1.5%)

Memory

-37.8MiB live, 427.2MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 468	4	1 472
Fresh	4	6	10
Picked	1	4	5
Done	0	2	2
Total	1 473	16	1 489

Accuracy

100.0%

Counts

1 489 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
▶	93.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x) y)
✓	55.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 x z))
✓	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
▶	57.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y))) z)
	55.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 z y))
▶	60.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	33.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (.f64 x (/.f64 (.f64 z z) y))) (.f64 x x))
✓	55.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
▶	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z)))
▶	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	55.8%	(.f64 (pow.f64 (.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 z y) #s(literal -1/2 binary64)) (.f64 x z)))
	60.2%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 324 to 210 computations (35.2% saved)

simplify252.0ms (2.2%)

Memory

12.6MiB live, 168.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1 416×	`accelerator-lowering-fma.f32`
1 416×	`accelerator-lowering-fma.f64`
1 196×	`div-sub`
1 136×	`-lowering-.f32`
1 136×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
1	53	129
2	123	127
3	314	127
4	596	127
5	989	127
6	1896	127
7	2711	127
8	3747	127
9	4563	127
10	4734	127
11	4742	127
12	4742	127
13	4854	127
14	4902	127
15	4902	127
16	4902	127
17	4902	127
18	4934	127
19	4934	127
20	4934	127
0	4934	124

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize76.0ms (0.7%)

Memory

-9.7MiB live, 190.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z)))
✓	accuracy	98.8%	(/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z))
✓	accuracy	93.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y)))
✓	accuracy	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y))) z)
✓	accuracy	91.4%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x) y)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
✓	accuracy	90.4%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x)

Samples

47.0ms

256×

valid

Compiler

Compiled 137 to 26 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 20.0ms (67.2% of total)

ival-mult: 8.0ms (26.9% of total)

ival-sub: 1.0ms (3.4% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

-2.1MiB live, 36.2MiB allocated

Counts

18 → 456

Calls

Call 1

Inputs
#<alt (/ (/ (/ -1 (- -1 (* z z))) x) y)>
#<alt (/ (/ -1 (- -1 (* z z))) x)>
#<alt (/ -1 (- -1 (* z z)))>
#<alt (- -1 (* z z))>
#<alt (/ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (/ y (/ 1 x))>
#<alt (/ 1 (/ y (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (/ 1 (* x (* z y))) z)>
#<alt (/ 1 (* x (* z y)))>
#<alt (* x (* z y))>
#<alt (* z y)>
#<alt (/ z (/ (/ 1 (* x y)) z))>
#<alt (/ 1 (/ z (/ (/ 1 (* x y)) z)))>
#<alt (/ (/ 1 (* x y)) z)>
#<alt (/ 1 (* x y))>
#<alt (* z z)>

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

114 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* z y))
1.0ms	x	@	0	(/ 1 (* x (* z y)))
1.0ms	y	@	0	(/ 1 (* x (* z y)))
0.0ms	z	@	0	(/ 1 (* x (* z y)))
0.0ms	y	@	inf	(/ 1 (* x (* z y)))

rewrite287.0ms (2.5%)

Memory

10.4MiB live, 567.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 354×	`-lowering-.f32`
3 354×	`-lowering-.f64`
2 380×	`accelerator-lowering-fma.f32`
2 380×	`accelerator-lowering-fma.f64`
2 316×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	110
1	146	106
2	977	106
3	5799	106
0	8366	102

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 272

Calls

Call 1

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

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

simplify322.0ms (2.8%)

Memory

4.0MiB live, 479.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 508×	`accelerator-lowering-fma.f32`
7 508×	`accelerator-lowering-fma.f64`
2 968×	`-lowering-.f32`
2 968×	`-lowering-.f64`
1 924×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	3255
1	263	3249
2	726	3224
3	2545	3178
4	6336	3178
0	8161	3127

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
1
(+ 1 (* -1 (pow z 2)))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(/ 1 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/ 1 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
-1
(- (* -1 (pow z 2)) 1)
(- (* -1 (pow z 2)) 1)
(- (* -1 (pow z 2)) 1)
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 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 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(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))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) 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)) (/.f64 (/.f64 (.f64 z (.f64 z (-.f64 #s(literal 1 binary64) (.f64 z z)))) 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 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) 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 #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))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) 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 #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))))) (pow z 2))
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eval213.0ms (1.9%)

Memory: -6.0MiB live, 421.2MiB allocated
Compiler: Compiled 24 445 to 2 919 computations (88.1% saved)

prune166.0ms (1.5%)

Memory

-1.3MiB live, 353.3MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1 724	4	1 728
Fresh	3	2	5
Picked	1	4	5
Done	1	5	6
Total	1 729	15	1 744

Accuracy

100.0%

Counts

1 744 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z)
	56.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z) y)
	58.3%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z)
✓	93.2%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x) y)
	56.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z x))) y)
✓	93.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
✓	57.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y))) z)
✓	60.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	33.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (.f64 x (/.f64 (.f64 z z) y))) (.f64 x x))
✓	55.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
✓	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	60.2%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	60.2%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 554 to 225 computations (59.4% saved)

regimes90.0ms (0.8%)

Memory

-26.0MiB live, 123.3MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes85.0ms (0.7%)

Memory

26.3MiB live, 102.3MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
11.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) x)
9.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
99.8%	2	`z`
97.3%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.8%	2	`(*.f64 z z)`
93.2%	1	`x`
93.2%	1	`y`
93.2%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes39.0ms (0.3%)

Memory

-8.4MiB live, 28.9MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
7.0ms	z
6.0ms	(*.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)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.4%)

Memory

-13.2MiB live, 29.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
6.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	z
6.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
99.1%	2	`z`
99.1%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	z
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
99.1%	2	`z`
99.1%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes26.0ms (0.2%)

Memory

-26.7MiB live, 12.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
98.0%	2	`z`
98.0%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
97.9%	2	`z`
97.9%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes39.0ms (0.3%)

Memory

-6.6MiB live, 32.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	y
4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
64.8%	3	`x`
62.5%	2	`y`
64.8%	3	`(/.f64 #s(literal 1 binary64) x)`
92.4%	2	`z`
92.4%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes11.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.3%	1	`y`
60.3%	1	`(/.f64 #s(literal 1 binary64) x)`
60.3%	1	`x`
60.3%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
60.2%	1	`x`
60.2%	1	`y`
60.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.508917060065067e+198	5.795994511131668e+199

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1492640500154967e+149	2.890825086938396e+157

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	31209101.6570152	47009068.85769796

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11577680171087928	45348.13045974091

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11577680171087928	45348.13045974091

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11577680171087928	45348.13045974091

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11577680171087928	45348.13045974091

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch23.0ms (0.2%)

Memory

-21.5MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.3402599031782606	212.9510048338371

Samples

18.0ms

128×

valid

Compiler

Compiled 193 to 143 computations (25.9% saved)

Precisions

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

ival-div: 2.0ms (52% of total)

ival-add: 1.0ms (26% of total)

ival-mult: 1.0ms (26% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	196
1	71	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 40000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z x))) y))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 z y))) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 z y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 40000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z x))) y))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 x z))) y))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 z y))) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 z y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))

soundness1.6s (14.1%)

Memory

-26.9MiB live, 732.8MiB allocated

Rules

18 180×	`accelerator-lowering-fma.f32`
18 180×	`accelerator-lowering-fma.f64`
7 508×	`accelerator-lowering-fma.f32`
7 508×	`accelerator-lowering-fma.f64`
6 098×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	53	29
2	355	29
3	2746	29
0	9071	26
0	99	3255
1	263	3249
2	726	3224
3	2545	3178
4	6336	3178
0	8161	3127
0	24	124
1	153	121
2	1141	119
0	8369	109
0	24	110
1	146	106
2	977	106
3	5799	106
0	8366	102
0	21	90
1	138	86
2	1003	86
0	8372	83
0	52	814
1	135	812
2	389	807
3	1473	790
4	3951	754
5	7661	754
0	8207	693

Stop Event

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

Compiler

Compiled 634 to 348 computations (45.1% saved)

preprocess307.0ms (2.7%)

Memory: 1.0MiB live, 399.7MiB allocated
Remove: (abs z)
Compiler: Compiled 944 to 390 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze61.0ms (0.5%)

sample917.0ms (8%)

preprocess328.0ms (2.9%)

explain130.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize41.0ms (0.4%)

series9.0ms (0.1%)

rewrite474.0ms (4.2%)

simplify521.0ms (4.6%)

eval69.0ms (0.6%)

prune81.0ms (0.7%)

simplify171.0ms (1.5%)

localize133.0ms (1.2%)

series33.0ms (0.3%)

rewrite642.0ms (5.6%)

simplify556.0ms (4.9%)

eval429.0ms (3.8%)

prune1.2s (10.2%)

simplify482.0ms (4.2%)

localize124.0ms (1.1%)

series17.0ms (0.1%)

rewrite638.0ms (5.6%)

simplify369.0ms (3.2%)

eval178.0ms (1.6%)

prune174.0ms (1.5%)

simplify252.0ms (2.2%)

localize76.0ms (0.7%)

series16.0ms (0.1%)

rewrite287.0ms (2.5%)

simplify322.0ms (2.8%)

eval213.0ms (1.9%)

prune166.0ms (1.5%)

regimes90.0ms (0.8%)

regimes85.0ms (0.7%)

regimes39.0ms (0.3%)

regimes41.0ms (0.4%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

regimes39.0ms (0.3%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.6s (14.1%)

preprocess307.0ms (2.7%)

end0.0ms (0%)

Profiling