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

analyze72.0ms (0.6%)

Memory

24.2MiB live, 101.8MiB 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)

sample923.0ms (8.1%)

Memory

44.6MiB live, 1 609.6MiB allocated

Samples

593.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-div: 186.0ms (53.1% of total)

ival-mult: 107.0ms (30.6% of total)

ival-add: 44.0ms (12.6% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess342.0ms (3%)

Memory

-15.5MiB live, 66.9MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain107.0ms (0.9%)

Memory

-8.4MiB live, 235.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
26	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
6	-	-	`(.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	26	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	83
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	60
↳	`(*.f64 z z)`	overflow	60
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	6	0

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

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

ival-div: 7.0ms (40.8% of total)

ival-mult: 6.0ms (35% of total)

ival-add: 2.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify9.0ms (0.1%)

Memory

-16.7MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.2%)

Memory

11.3MiB live, 52.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	97.7%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

18.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 3.0ms (37.3% of total)

ival-mult: 3.0ms (37.3% of total)

ival-add: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-12.4MiB live, 25.1MiB allocated

Counts

5 → 96

Calls

Call 1

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

Calls

24 calls:

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

rewrite408.0ms (3.6%)

Memory

47.9MiB live, 644.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 437

Calls

Call 1

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

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

simplify418.0ms (3.7%)

Memory

-9.6MiB live, 797.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval60.0ms (0.5%)

Memory: 31.8MiB live, 186.5MiB allocated
Compiler: Compiled 15 217 to 1 507 computations (90.1% saved)

prune88.0ms (0.8%)

Memory

-58.8MiB live, 192.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	517	16	533
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	518	16	534

Accuracy

95.9%

Counts

534 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.5%	(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	66.4%	(pow.f64 (.f64 (.f64 x (fma.f64 y (.f64 z z) y)) (.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal -1/2 binary64))
	53.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
▶	63.8%	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
	91.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
▶	93.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
	90.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	47.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	41.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (neg.f64 (fma.f64 y (.f64 z z) y))) (.f64 (neg.f64 (fma.f64 y (.f64 z z) y)) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))))
	45.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 (fma.f64 y (.f64 z z) y)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (.f64 (neg.f64 (fma.f64 y (.f64 z z) y)) (neg.f64 y)))
▶	87.7%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
	46.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
▶	57.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	42.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 y (.f64 z z) y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))

Compiler

Compiled 548 to 296 computations (46% saved)

simplify9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 y (*.f64 z z) y)
✓	cost-diff	0	(.f64 x (fma.f64 y (.f64 z z) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))

Rules

148×	`-lowering-.f32`
148×	`-lowering-.f64`
70×	`/-lowering-/.f32`
70×	`/-lowering-/.f64`
70×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	64	146
2	109	146
3	201	146
4	205	146
0	205	134

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize91.0ms (0.8%)

Memory

2.0MiB live, 153.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	97.7%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.7%	(/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓	accuracy	56.9%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	91.7%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
✓	accuracy	97.7%	(fma.f64 y (*.f64 z z) y)
✓	accuracy	91.2%	(.f64 x (fma.f64 y (.f64 z z) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	98.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	91.5%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 139 to 25 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 16.0ms (38.1% of total)

ival-div: 15.0ms (35.7% of total)

ival-pow: 6.0ms (14.3% of total)

ival-add: 4.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

-24.4MiB live, 52.3MiB allocated

Counts

17 → 384

Calls

Call 1

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

Calls

96 calls:

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

rewrite863.0ms (7.6%)

Memory

-2.9MiB live, 722.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 554×	`-lowering-.f32`
5 554×	`-lowering-.f64`
4 986×	`accelerator-lowering-fma.f32`
4 986×	`accelerator-lowering-fma.f64`
4 200×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	154	111
2	1067	111
0	8325	100

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 2 268

Calls

Call 1

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

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

simplify628.0ms (5.5%)

Memory

22.7MiB live, 305.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 566×	`accelerator-lowering-fma.f32`
6 566×	`accelerator-lowering-fma.f64`
3 118×	`-lowering-.f32`
3 118×	`-lowering-.f64`
2 288×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	3504
1	251	3494
2	684	3458
3	2641	3390
4	6676	3390
0	8030	3175

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

eval635.0ms (5.6%)

Memory: 26.4MiB live, 287.3MiB allocated
Compiler: Compiled 68 908 to 4 267 computations (93.8% saved)

prune471.0ms (4.1%)

Memory

-9.1MiB live, 234.1MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	2 816	13	2 829
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	2 827	18	2 845

Accuracy

100.0%

Counts

2 845 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.8%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	53.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	51.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y))
▶	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
▶	51.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	41.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))) (neg.f64 (fma.f64 y (.f64 z z) y))) (.f64 (neg.f64 (fma.f64 y (.f64 z z) y)) (neg.f64 (.f64 x (fma.f64 y (.f64 z z) y)))))
	97.2%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
	51.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 (fma.f64 x (.f64 z z) x) (.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))
	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	92.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
▶	40.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) x)))
▶	89.9%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
	64.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 y (.f64 z z) y) (.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64))))))))
	46.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	57.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	41.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))

Compiler

Compiled 590 to 334 computations (43.4% saved)

simplify272.0ms (2.4%)

Memory

-19.2MiB live, 232.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 674×	`-lowering-.f32`
3 674×	`-lowering-.f64`
3 486×	`/-lowering-/.f32`
3 486×	`/-lowering-/.f64`
3 196×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	187
1	93	179
2	250	179
3	1017	179
4	5117	179
5	6209	179
0	8263	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize102.0ms (0.9%)

Memory

6.0MiB live, 200.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) x)))
✓	accuracy	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) x)
✓	accuracy	97.7%	(*.f64 y (fma.f64 z z #s(literal -1 binary64)))
✓	accuracy	49.3%	(.f64 (.f64 y (.f64 y (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
✓	accuracy	89.9%	(.f64 x (.f64 z z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.9%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
✓	accuracy	91.2%	(.f64 x (fma.f64 (.f64 y z) z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.8%	(fma.f64 (*.f64 x z) z x)
✓	accuracy	98.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))

Samples

61.0ms

256×

valid

Compiler

Compiled 213 to 33 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 22.0ms (52.7% of total)

ival-div: 14.0ms (33.5% of total)

ival-add: 5.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.4%)

Memory

18.1MiB live, 91.6MiB allocated

Counts

18 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(* y (+ (* z z) -1))
4.0ms	y	@	0	(/ 1 (* (* y (* y (+ (* z (* z (* z z))) -1))) (* (/ 1 (* y (+ (* z z) -1))) x)))
3.0ms	y	@	-inf	(/ (/ 1 y) (+ (* (* x z) z) x))
3.0ms	y	@	inf	(* y z)
2.0ms	y	@	0	(* (* y (* y (+ (* z (* z (* z z))) -1))) (* (/ 1 (* y (+ (* z z) -1))) x))

rewrite369.0ms (3.2%)

Memory

-34.3MiB live, 896.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 016×	`accelerator-lowering-fma.f32`
6 016×	`accelerator-lowering-fma.f64`
4 366×	`-lowering-.f32`
4 366×	`-lowering-.f64`
3 838×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	128
1	193	124
2	1384	122
0	8457	113

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 621

Calls

Call 1

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

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

simplify365.0ms (3.2%)

Memory

16.8MiB live, 971.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 836×	`accelerator-lowering-fma.f32`
10 836×	`accelerator-lowering-fma.f64`
4 152×	`-lowering-.f32`
4 152×	`-lowering-.f64`
2 674×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	4401
1	348	4390
2	966	4355
3	3413	4283
4	7438	4283
0	8358	4046

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval252.0ms (2.2%)

Memory: 10.4MiB live, 666.0MiB allocated
Compiler: Compiled 54 372 to 3 638 computations (93.3% saved)

prune202.0ms (1.8%)

Memory

7.5MiB live, 543.1MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 145	10	2 155
Fresh	6	6	12
Picked	3	2	5
Done	0	1	1
Total	2 154	19	2 173

Accuracy

100.0%

Counts

2 173 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	51.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 y x))
	55.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z))) z)
	57.1%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x z) z))
▶	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	97.2%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
	51.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 (fma.f64 x (.f64 z z) x) (.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))
▶	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	35.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) x)))
	51.5%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	89.9%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
	46.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	57.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	51.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x)))) y) (/.f64 (fma.f64 x (*.f64 z z) (neg.f64 x)) #s(literal 1 binary64)))
▶	51.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x))) y)) (fma.f64 x (.f64 z z) (neg.f64 x)))
	41.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
▶	55.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
	56.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))

Compiler

Compiled 567 to 334 computations (41.1% saved)

simplify215.0ms (1.9%)

Memory

-5.0MiB live, 430.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x))) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x))) y))
✓	cost-diff	128	(fma.f64 x (*.f64 z z) (neg.f64 x))
✓	cost-diff	2048	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x))) y)) (fma.f64 x (.f64 z z) (neg.f64 x)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 x (.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z)))
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(.f64 y (.f64 x z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
✓	cost-diff	320	(fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x))

Rules

5 698×	`accelerator-lowering-fma.f32`
5 698×	`accelerator-lowering-fma.f64`
5 188×	`-lowering-.f32`
5 188×	`-lowering-.f64`
2 048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	211
1	89	199
2	321	199
3	1469	199
4	4926	199
0	8850	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize103.0ms (0.9%)

Memory

-11.4MiB live, 185.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.0%	(.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x))) y)
✓	accuracy	91.5%	(fma.f64 x (*.f64 z z) (neg.f64 x))
✓	accuracy	91.5%	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
✓	accuracy	63.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (fma.f64 x (.f64 z z) (neg.f64 x))) y)) (fma.f64 x (.f64 z z) (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z)))
✓	accuracy	97.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
✓	accuracy	91.7%	(.f64 x (.f64 y z))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
✓	accuracy	92.1%	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
✓	accuracy	98.4%	(fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x))
✓	accuracy	92.4%	(.f64 y (.f64 x z))

Samples

55.0ms

256×

valid

Compiler

Compiled 212 to 31 computations (85.4% saved)

Precisions

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

ival-mult: 19.0ms (50.9% of total)

ival-div: 13.0ms (34.8% of total)

ival-add: 4.0ms (10.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

28.2MiB live, 65.9MiB allocated

Counts

19 → 564

Calls

Call 1

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

Outputs
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (/ 1 (* x y))>
#<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 (+ (* (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 (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt 1>
#<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 (* 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 (* 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 (/ 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 (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* x (- (pow z 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow z 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow z 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow z 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow z 2)))))>
#<alt (* -1 x)>
#<alt (- (* x (pow z 2)) x)>
#<alt (- (* x (pow z 2)) x)>
#<alt (- (* x (pow z 2)) x)>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))>
#<alt (* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))>
#<alt (* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))>
#<alt (* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))>
#<alt (* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (- (* -1 (/ (pow z 4) (* (pow x 2) y))) (/ 1 (* (pow x 2) y)))>
#<alt (- (* (pow z 4) (- (* -1 (/ (pow z 4) (* (pow x 2) y))) (/ 1 (* (pow x 2) y)))) (/ 1 (* (pow x 2) y)))>
#<alt (- (* (pow z 4) (- (* (pow z 4) (- (* -1 (/ (pow z 4) (* (pow x 2) y))) (/ 1 (* (pow x 2) y)))) (/ 1 (* (pow x 2) y)))) (/ 1 (* (pow x 2) y)))>
#<alt (/ 1 (* (pow x 2) (* y (pow z 4))))>
#<alt (/ (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 2) (* y (pow z 4))))) (pow z 4))>
#<alt (/ (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (* y (pow z 4)))) (/ 1 (* (pow x 2) (* y (pow z 8)))))) (pow z 4))>
#<alt (/ (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (* y (pow z 4)))) (+ (/ 1 (* (pow x 2) (* y (pow z 8)))) (/ 1 (* (pow x 2) (* y (pow z 12))))))) (pow z 4))>
#<alt (/ 1 (* (pow x 2) (* y (pow z 4))))>
#<alt (/ (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 2) (* y (pow z 4))))) (pow z 4))>
#<alt (/ (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (* y (pow z 4)))) (/ 1 (* (pow x 2) (* y (pow z 8)))))) (pow z 4))>
#<alt (/ (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (* y (pow z 4)))) (+ (/ 1 (* (pow x 2) (* y (pow z 8)))) (/ 1 (* (pow x 2) (* y (pow z 12))))))) (pow z 4))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ 1 (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1)))))>
#<alt (/ -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (/ -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (/ -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (/ -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (/ 1 (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (+ (* -1 (* (pow x 2) y)) (* x (* y (* (pow z 2) (+ x (* -1 x))))))>
#<alt (+ (* -1 (* (pow x 2) y)) (* (pow z 2) (+ (* x (* y (+ x (* -1 x)))) (* (pow x 2) (* y (pow z 2))))))>
#<alt (+ (* -1 (* (pow x 2) y)) (* (pow z 2) (+ (* x (* y (+ x (* -1 x)))) (* (pow x 2) (* y (pow z 2))))))>
#<alt (* (pow x 2) (* y (pow z 4)))>
#<alt (* (pow z 4) (+ (* (pow x 2) y) (/ (* x (* y (+ x (* -1 x)))) (pow z 2))))>
#<alt (* (pow z 4) (+ (* -1 (/ (* (pow x 2) y) (pow z 4))) (+ (* (pow x 2) y) (/ (* x (* y (+ x (* -1 x)))) (pow z 2)))))>
#<alt (* (pow z 4) (+ (* -1 (/ (* (pow x 2) y) (pow z 4))) (+ (* (pow x 2) y) (/ (* x (* y (+ x (* -1 x)))) (pow z 2)))))>
#<alt (* (pow x 2) (* y (pow z 4)))>
#<alt (* (pow z 4) (+ (* (pow x 2) y) (/ (* x (* y (+ x (* -1 x)))) (pow z 2))))>
#<alt (* (pow z 4) (+ (* -1 (/ (* (pow x 2) y) (pow z 4))) (+ (* (pow x 2) y) (/ (* x (* y (+ x (* -1 x)))) (pow z 2)))))>
#<alt (* (pow z 4) (+ (* -1 (/ (* (pow x 2) y) (pow z 4))) (+ (* (pow x 2) y) (/ (* x (* y (+ x (* -1 x)))) (pow z 2)))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* (pow x 2) (* y (* (+ 1 (pow z 2)) (- (pow z 2) 1))))>
#<alt (* -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (* -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (* -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (* -1 (* (pow x 2) (* y (* (+ 1 (* -1 (pow z 2))) (+ 1 (pow z 2))))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt (* x (* y (* (+ 1 (pow z 2)) (- (* x (pow z 2)) x))))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (+ 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)))>

Calls

141 calls:

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

rewrite463.0ms (4.1%)

Memory

14.3MiB live, 837.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 066×	`accelerator-lowering-fma.f32`
7 066×	`accelerator-lowering-fma.f64`
4 640×	`-lowering-.f32`
4 640×	`-lowering-.f64`
3 768×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
1	172	141
2	1413	141
0	8450	133

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 2 342

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (.f64 x (.f64 z z))) (.f64 y x))
(+.f64 (.f64 y x) (.f64 y (.f64 x (.f64 z z))))
(+.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 z z))) (.f64 y (.f64 x (.f64 z z)))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64)))))))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 y (fma.f64 x (*.f64 z z) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 y (fma.f64 x (.f64 z z) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (fma.f64 x (.f64 z z) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 z z))) (.f64 y (.f64 x (.f64 z z)))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 z z))) (.f64 y (.f64 x (.f64 z z)))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (fma.f64 y x (.f64 (.f64 (.f64 x (neg.f64 y)) z) z))) (/.f64 (.f64 (.f64 y (.f64 x (.f64 z z))) (.f64 y (.f64 x (.f64 z z)))) (fma.f64 y x (.f64 (.f64 (.f64 x (neg.f64 y)) z) z))))
(fma.f64 y x (.f64 y (.f64 x (*.f64 z z))))
(fma.f64 y (.f64 x (.f64 z z)) (*.f64 y x))
(fma.f64 x y (.f64 y (.f64 x (*.f64 z z))))
(fma.f64 x (.f64 (.f64 y z) z) (*.f64 y x))
(fma.f64 z (.f64 y (.f64 x z)) (*.f64 y x))
(fma.f64 (.f64 x z) (.f64 y z) (*.f64 y x))
(fma.f64 (.f64 y (.f64 x (.f64 z z))) #s(literal 1 binary64) (.f64 y x))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z))))
(fma.f64 (.f64 y x) (.f64 z z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 y (.f64 x (.f64 z z))))
(fma.f64 (.f64 z z) (.f64 y x) (*.f64 y x))
(fma.f64 (.f64 y z) (.f64 x z) (*.f64 y x))
(fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x))
(fma.f64 (.f64 x (.f64 z z)) y (*.f64 y x))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 y (.f64 x (*.f64 z z))))
(fma.f64 (neg.f64 x) (/.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) z)) (.f64 y x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (.f64 y (.f64 x (*.f64 z z))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y)) (.f64 y (.f64 x (*.f64 z z))))
(fma.f64 (.f64 (.f64 y (.f64 x (.f64 z z))) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (.f64 (.f64 y z) z) x (*.f64 y x))
(fma.f64 (.f64 z (.f64 y z)) x (*.f64 y x))
(fma.f64 (.f64 y (.f64 z z)) x (*.f64 y x))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 x z) (/.f64 #s(literal -1 binary64) z)) (.f64 y x))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x z)))) (*.f64 y x))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) z)) (.f64 y x))
(fma.f64 (/.f64 (.f64 y (.f64 x z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))
(fma.f64 (/.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 x (.f64 z z)) (.f64 y (.f64 x (.f64 z z)))) y) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 y z) (.f64 y x))
(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (.f64 x z))) y (.f64 y x))
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simplify475.0ms (4.2%)

Memory

-41.7MiB live, 776.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20 116×	`accelerator-lowering-fma.f32`
20 116×	`accelerator-lowering-fma.f64`
3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
3 368×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	5442
1	459	5346
2	1445	5103
3	4667	5005
0	8534	4754

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

eval410.0ms (3.6%)

Memory: 63.5MiB live, 630.5MiB allocated
Compiler: Compiled 96 539 to 4 204 computations (95.6% saved)

prune306.0ms (2.7%)

Memory

2.4MiB live, 472.6MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	3 109	8	3 117
Fresh	4	7	11
Picked	2	3	5
Done	0	3	3
Total	3 115	21	3 136

Accuracy

100.0%

Counts

3 136 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	54.5%	(/.f64 (/.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) y) (.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) (fma.f64 x (.f64 z z) x)))
	51.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 y x))
	57.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x z))) z)
	57.1%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x z) z))
✓	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	58.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	57.3%	(/.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) (.f64 (.f64 y (fma.f64 x (.f64 z z) x)) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))
✓	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	51.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 y x)))
	35.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal -1 binary64)))) x)))
	51.5%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	89.9%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y)))
	46.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	57.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	57.1%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 y (*.f64 x z)) (neg.f64 z)))
	51.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) (fma.f64 x (.f64 z z) x))) y) (fma.f64 x (*.f64 z z) (neg.f64 x)))
	57.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) z) (/.f64 #s(literal 1 binary64) y))
	41.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
✓	55.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
	35.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x))) (fma.f64 x (.f64 z z) (neg.f64 x)))

Compiler

Compiled 1 012 to 350 computations (65.4% saved)

regimes120.0ms (1.1%)

Memory

-9.3MiB live, 242.9MiB allocated

Counts

48 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	(/.f64 #s(literal 1 binary64) x)
17.0ms	x
16.0ms	y
14.0ms	(*.f64 z z)
13.0ms	z

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`z`
98.6%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.6%	1	`(/.f64 #s(literal 1 binary64) x)`
98.6%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.6%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes100.0ms (0.9%)

Memory

6.5MiB live, 126.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

8 calls:

32.0ms	(/.f64 #s(literal 1 binary64) x)
24.0ms	y
11.0ms	(*.f64 z z)
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
99.0%	2	`z`
97.2%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.2%	1	`(/.f64 #s(literal 1 binary64) x)`
99.0%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.0%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes58.0ms (0.5%)

Memory

-26.2MiB live, 56.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	x
9.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	z
6.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`z`
97.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.2%	1	`(*.f64 z z)`
97.2%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes42.0ms (0.4%)

Memory

13.7MiB live, 51.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	y
5.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	x
4.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
92.4%	1	`(/.f64 #s(literal 1 binary64) x)`
94.7%	2	`y`
97.9%	2	`z`
95.3%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.9%	2	`(*.f64 z z)`
92.4%	1	`x`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes25.0ms (0.2%)

Memory

18.7MiB live, 55.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
94.7%	2	`y`
92.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
94.7%	2	`z`
94.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.7%	2	`(*.f64 z z)`
92.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes67.0ms (0.6%)

Memory

-6.2MiB live, 32.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	y
4.0ms	z
3.0ms	(*.f64 z z)
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
94.7%	2	`z`
94.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.7%	2	`(*.f64 z z)`
94.7%	2	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes57.0ms (0.5%)

Memory

-27.7MiB live, 54.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

8 calls:

31.0ms	z
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
89.9%	1	`x`
89.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
89.9%	1	`(/.f64 #s(literal 1 binary64) x)`
92.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
89.9%	1	`y`
94.7%	3	`z`
94.7%	3	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.7%	3	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

35.5MiB live, 35.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
92.4%	2	`z`
92.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
92.4%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

-6.6MiB live, 32.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
91.6%	2	`z`
91.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
91.6%	2	`(*.f64 z z)`
80.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory

-35.9MiB live, 53.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	x
3.0ms	(*.f64 z z)
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
58.3%	1	`x`
58.3%	1	`y`
72.3%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
58.3%	1	`(/.f64 #s(literal 1 binary64) x)`
87.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.0%	2	`(*.f64 z z)`
87.0%	2	`z`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes12.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
58.3%	1	`x`
58.3%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
58.3%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
58.3%	1	`z`
58.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
58.3%	1	`(*.f64 z z)`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes25.0ms (0.2%)

Memory

-18.6MiB live, 21.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	y
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
57.9%	1	`y`
57.9%	1	`(/.f64 #s(literal 1 binary64) x)`
57.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
57.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
57.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
57.9%	1	`(*.f64 z z)`
57.9%	1	`x`
57.9%	1	`z`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.530023022339602e+302	4.37903135432914e+303

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.37903135432914e+303	7.735198207745194e+306

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch11.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	0.0007336343442797864	29.103920156218372

Samples

6.0ms

112×

valid

Compiler

Compiled 213 to 141 computations (33.8% saved)

Precisions

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

ival-div: 1.0ms (28.5% of total)

ival-add: 1.0ms (28.5% of total)

ival-mult: 1.0ms (28.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2.2127300118969414e-69	1.8573953598295514e-68

Samples

1.0ms

16×

valid

Compiler

Compiled 45 to 33 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3578924907984724e+307	+inf
0.0ms	963940140176913700.0	47738760171109245000.0

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	4.37903135432914e+303	7.735198207745194e+306

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch8.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.09585488404771568	0.20440502494245266

Samples

4.0ms

80×

valid

Compiler

Compiled 127 to 95 computations (25.2% saved)

Precisions

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

ival-div: 1.0ms (40.9% of total)

ival-mult: 1.0ms (40.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Memory

-23.9MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.09585488404771568	0.20440502494245266

Samples

24.0ms

80×

valid

Compiler

Compiled 127 to 95 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 20.0ms (91.1% of total)

ival-mult: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Memory

28.1MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	245
1	90	245
2	100	245
3	116	245
4	132	245
5	141	245
6	146	245
7	147	245

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) z))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y (*.f64 x z)) (neg.f64 z))))
(if (<=.f64 y #s(literal 3458764513820541/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))))
(if (<=.f64 y #s(literal 1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (*.f64 y z) z y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 z #s(literal 3638908498915361/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 z #s(literal 3638908498915361/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.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) y) (fma.f64 (*.f64 x z) z x))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x z))) z))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x z)) z (*.f64 y x)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y (*.f64 x z)) (neg.f64 z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 y (*.f64 x (neg.f64 z))))))
(if (<=.f64 y #s(literal 3458764513820541/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))))
(if (<=.f64 y #s(literal 3458764513820541/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)))
(if (<=.f64 y #s(literal 1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y z) z y))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (*.f64 y z) z y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 z #s(literal 3638908498915361/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 z #s(literal 3638908498915361/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness1.5s (13.5%)

Memory

-33.3MiB live, 1 349.8MiB allocated

Rules

18 180×	`accelerator-lowering-fma.f32`
18 180×	`accelerator-lowering-fma.f64`
10 836×	`accelerator-lowering-fma.f32`
10 836×	`accelerator-lowering-fma.f64`
7 066×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	154	111
2	1067	111
0	8325	100
0	9	29
1	53	29
2	355	29
3	2746	29
0	9071	26
0	122	4401
1	348	4390
2	966	4355
3	3413	4283
4	7438	4283
0	8358	4046
0	31	128
1	193	124
2	1384	122
0	8457	113
0	93	3504
1	251	3494
2	684	3458
3	2641	3390
4	6676	3390
0	8030	3175
0	29	159
1	172	141
2	1413	141
0	8450	133
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693

Stop Event

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

Compiler

Compiled 745 to 385 computations (48.3% saved)

preprocess422.0ms (3.7%)

Memory: 25.8MiB live, 697.5MiB allocated
Remove: (abs z)
Compiler: Compiled 1 532 to 698 computations (54.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze72.0ms (0.6%)

sample923.0ms (8.1%)

preprocess342.0ms (3%)

explain107.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize27.0ms (0.2%)

series12.0ms (0.1%)

rewrite408.0ms (3.6%)

simplify418.0ms (3.7%)

eval60.0ms (0.5%)

prune88.0ms (0.8%)

simplify9.0ms (0.1%)

localize91.0ms (0.8%)

series30.0ms (0.3%)

rewrite863.0ms (7.6%)

simplify628.0ms (5.5%)

eval635.0ms (5.6%)

prune471.0ms (4.1%)

simplify272.0ms (2.4%)

localize102.0ms (0.9%)

series48.0ms (0.4%)

rewrite369.0ms (3.2%)

simplify365.0ms (3.2%)

eval252.0ms (2.2%)

prune202.0ms (1.8%)

simplify215.0ms (1.9%)

localize103.0ms (0.9%)

series33.0ms (0.3%)

rewrite463.0ms (4.1%)

simplify475.0ms (4.2%)

eval410.0ms (3.6%)

prune306.0ms (2.7%)

regimes120.0ms (1.1%)

regimes100.0ms (0.9%)

regimes58.0ms (0.5%)

regimes42.0ms (0.4%)

regimes25.0ms (0.2%)

regimes67.0ms (0.6%)

regimes57.0ms (0.5%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes25.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch27.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.5s (13.5%)

preprocess422.0ms (3.7%)

end0.0ms (0%)

Profiling