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

analyze91.0ms (0.8%)

Memory

15.5MiB live, 91.2MiB 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)

sample877.0ms (8.1%)

Memory

-4.0MiB live, 1 370.2MiB allocated

Samples

618.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

ival-div: 172.0ms (44.7% of total)

ival-mult: 156.0ms (40.5% of total)

ival-add: 43.0ms (11.2% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

preprocess326.0ms (3%)

Memory

31.3MiB live, 69.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

explain159.0ms (1.5%)

Memory

-34.8MiB live, 232.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	25	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	93
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	71
↳	`(*.f64 z z)`	overflow	71
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	7	0

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

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

ival-mult: 16.0ms (58.9% of total)

ival-div: 8.0ms (29.4% of total)

ival-add: 2.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify12.0ms (0.1%)

Memory

-2.4MiB live, 31.0MiB 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×	`lower-*.f32`
138×	`lower-*.f64`
72×	`associate-r`
70×	`lower-fma.f64`
70×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.4%)

Memory

7.4MiB live, 83.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	97.4%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

27.0ms

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 (37.6% of total)

ival-mult: 3.0ms (37.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-10.9MiB live, 26.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite570.0ms (5.3%)

Memory

27.7MiB live, 663.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 437

Calls

Call 1

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

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

simplify434.0ms (4%)

Memory

-7.9MiB live, 714.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

eval59.0ms (0.5%)

Memory: 15.3MiB live, 130.7MiB allocated
Compiler: Compiled 15 212 to 1 509 computations (90.1% saved)

prune103.0ms (1%)

Memory

-18.5MiB live, 154.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

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

Accuracy

94.2%

Counts

533 → 13

Alt Table

Click to see full alt table

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

Compiler

Compiled 392 to 220 computations (43.9% saved)

simplify13.0ms (0.1%)

Memory

-16.2MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

194×	`lower-*.f32`
182×	`lower-*.f64`
70×	`lower-fma.f32`
66×	`associate-r`
64×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	136
0	38	134
1	72	134
2	118	134
3	223	134
4	268	134
5	270	134
0	270	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (0.8%)

Memory

8.4MiB live, 125.9MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

44.0ms

256×

valid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

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

ival-mult: 15.0ms (52.3% of total)

ival-div: 10.0ms (34.9% of total)

ival-add: 3.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.4%)

Memory

17.2MiB live, 55.9MiB allocated

Counts

16 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	(/ 1 (* x (+ (* y (* z z)) y)))
4.0ms	y	@	-inf	(/ 1 (+ (* y (* z z)) y))
2.0ms	x	@	0	(/ 1 (* x y))
1.0ms	x	@	0	(/ 1 (* x (+ (* y (* z z)) y)))
1.0ms	y	@	-inf	(/ 1 (* x (+ (* y (* z z)) y)))

rewrite838.0ms (7.8%)

Memory

-14.4MiB live, 557.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 106×	`lower-fma.f32`
5 100×	`lower-fma.f64`
4 526×	`lower-*.f32`
4 514×	`lower-*.f64`
3 204×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	105
0	38	103
1	160	103
2	827	103
3	6876	103
0	9428	103

Stop Event

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

Counts

16 → 1 591

Calls

Call 1

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

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

simplify527.0ms (4.9%)

Memory

4.7MiB live, 945.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3936
1	333	3924
2	910	3888
3	3396	3760
4	7734	3752
0	8228	3497

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 405

Calls

Call 1

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

eval247.0ms (2.3%)

Memory: 3.5MiB live, 634.8MiB allocated
Compiler: Compiled 53 818 to 3 417 computations (93.7% saved)

prune246.0ms (2.3%)

Memory

-5.9MiB live, 358.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	2 182	10	2 192
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	2 192	13	2 205

Accuracy

100.0%

Counts

2 205 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	32.0%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
	46.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
	63.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶	63.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	21.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (.f64 x (.f64 x (*.f64 z z)))))) y)
▶	98.3%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
▶	91.1%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z y) y) x))
	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
	44.0%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	63.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
▶	63.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 390 to 222 computations (43.1% saved)

simplify290.0ms (2.7%)

Memory

2.6MiB live, 281.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

8 876×	`lower-fma.f32`
8 870×	`lower-fma.f64`
2 018×	`lower-*.f32`
2 008×	`lower-*.f64`
1 340×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	119
0	38	121
1	74	113
2	142	113
3	314	113
4	746	113
5	1691	113
6	5209	113
7	7784	113
0	8064	113

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (0.6%)

Memory

16.1MiB live, 93.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(fma.f64 z (*.f64 z y) y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z y) y) x))
✓	accuracy	91.6%	(.f64 (fma.f64 z (.f64 z y) y) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(fma.f64 z z #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 (*.f64 x y))
✓	accuracy	87.1%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
✓	accuracy	99.3%	(fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y))
✓	accuracy	94.2%	(.f64 x (.f64 z y))

Samples

41.0ms

256×

valid

Compiler

Compiled 128 to 25 computations (80.5% saved)

Precisions

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

ival-mult: 11.0ms (41.6% of total)

ival-div: 9.0ms (34% of total)

ival-add: 5.0ms (18.9% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

-49.0MiB live, 24.0MiB allocated

Counts

15 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite418.0ms (3.9%)

Memory

21.8MiB live, 411.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 374×	`lower-fma.f32`
9 368×	`lower-fma.f64`
6 382×	`lower-*.f32`
6 372×	`lower-*.f64`
3 748×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	38	94
1	147	86
2	913	86
0	8604	86

Stop Event

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

Counts

15 → 1 174

Calls

Call 1

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

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

simplify335.0ms (3.1%)

Memory

-16.0MiB live, 342.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 302×	`lower-fma.f64`
8 302×	`lower-fma.f32`
3 916×	`lower-*.f64`
3 916×	`lower-*.f32`
1 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	3109
1	256	3072
2	735	2959
3	2282	2892
4	5884	2892
0	8329	2746

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 395

Calls

Call 1

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

Outputs
(* x (+ y (* y (pow z 2))))
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(.f64 y (fma.f64 x (.f64 z z) x))
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(.f64 y (fma.f64 x (.f64 z z) x))
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(.f64 y (fma.f64 x (.f64 z z) x))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (.f64 z z))) (*.f64 z z))
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eval410.0ms (3.8%)

Memory: 52.1MiB live, 276.4MiB allocated
Compiler: Compiled 35 891 to 2 434 computations (93.2% saved)

prune599.0ms (5.5%)

Memory

-41.3MiB live, 255.6MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 685	3	1 688
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	1 687	14	1 701

Accuracy

100.0%

Counts

1 701 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
▶	32.0%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
▶	46.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
▶	63.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	63.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	21.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (.f64 x (.f64 x (*.f64 z z)))))) y)
▶	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
✓	91.1%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (.f64 z y) y) x))
	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
▶	44.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))
	46.4%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	63.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	63.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 371 to 209 computations (43.7% saved)

simplify594.0ms (5.5%)

Memory

39.6MiB live, 467.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z z #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y (fma.f64 z z #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) x)
✓	cost-diff	2112	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 x (.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 y (.f64 z z))
✓	cost-diff	0	(.f64 (.f64 y (*.f64 z z)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) 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 (.f64 x z) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y))

Rules

13 028×	`lower-fma.f32`
13 022×	`lower-fma.f64`
4 888×	`lower-*.f32`
4 868×	`lower-*.f64`
3 552×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	174
0	48	164
1	95	164
2	240	158
3	1174	158
4	5146	158
0	8099	158

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (1.7%)

Memory

-5.7MiB live, 152.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))
✓	accuracy	97.8%	(/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) x)
✓	accuracy	97.4%	(*.f64 y (fma.f64 z z #s(literal -1 binary64)))
✓	accuracy	35.5%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 z z #s(literal -1 binary64))))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z)))
✓	accuracy	89.8%	(.f64 x (.f64 z z))
✓	accuracy	86.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))
✓	accuracy	89.7%	(.f64 (.f64 y (*.f64 z z)) x)
✓	accuracy	85.7%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
✓	accuracy	99.3%	(fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y))
✓	accuracy	91.3%	(.f64 (.f64 x z) y)

Samples

110.0ms

256×

valid

Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 74.0ms (79.4% of total)

ival-mult: 15.0ms (16.1% of total)

ival-add: 3.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series89.0ms (0.8%)

Memory

-29.2MiB live, 53.4MiB allocated

Counts

19 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(/ 1 (* (* y (* z z)) x))
7.0ms	x	@	-inf	(/ (* y (+ (* z z) -1)) x)
1.0ms	x	@	0	(/ 1 (* x (* z z)))
1.0ms	z	@	0	(/ 1 (* (* y (* z z)) x))
1.0ms	x	@	0	(/ (* y (+ (* z z) -1)) x)

rewrite475.0ms (4.4%)

Memory

8.1MiB live, 656.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 592×	`lower-fma.f32`
8 586×	`lower-fma.f64`
6 208×	`lower-*.f32`
6 188×	`lower-*.f64`
3 478×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	134
0	48	134
1	179	134
2	1191	112
0	8956	112

Stop Event

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

Counts

19 → 957

Calls

Call 1

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

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

simplify322.0ms (3%)

Memory

20.6MiB live, 526.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 714×	`lower-fma.f64`
6 714×	`lower-fma.f32`
3 328×	`lower-*.f64`
3 328×	`lower-*.f32`
1 942×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	3935
1	286	3931
2	798	3927
3	2555	3879
4	5998	3879
0	8130	3708

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

eval203.0ms (1.9%)

Memory: -2.9MiB live, 460.2MiB allocated
Compiler: Compiled 33 826 to 3 011 computations (91.1% saved)

prune207.0ms (1.9%)

Memory

7.3MiB live, 377.7MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 664	10	1 674
Fresh	2	2	4
Picked	2	3	5
Done	1	4	5
Total	1 669	19	1 688

Accuracy

100.0%

Counts

1 688 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
	28.9%	(/.f64 (/.f64 (.f64 y (fma.f64 z z #s(literal -1 binary64))) x) (.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y (neg.f64 y))))
	53.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) z)) y)
✓	46.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
✓	63.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	63.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	21.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (.f64 x (.f64 x (*.f64 z z)))))) y)
	53.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) z)) y)
	55.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x z))) z)
	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y))
	55.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) (*.f64 z (neg.f64 x))) z))
	46.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
	54.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z)))
✓	44.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))
	54.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z y)) z))
✓	63.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	54.9%	(.f64 (pow.f64 (.f64 x (*.f64 z y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓	63.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 719 to 290 computations (59.7% saved)

regimes95.0ms (0.9%)

Memory

10.0MiB live, 208.7MiB allocated

Counts

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

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

Calls

8 calls:

14.0ms	y
13.0ms	(*.f64 z z)
12.0ms	(/.f64 #s(literal 1 binary64) x)
12.0ms	z
12.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes48.0ms (0.4%)

Memory

-15.1MiB live, 102.0MiB allocated

Counts

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes45.0ms (0.4%)

Memory

22.9MiB live, 104.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`z`
94.4%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
92.9%	2	`(/.f64 #s(literal 1 binary64) x)`
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)`
92.9%	2	`x`
95.8%	3	`y`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes63.0ms (0.6%)

Memory

-29.3MiB live, 49.2MiB allocated

Counts

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

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

Calls

4 calls:

37.0ms	(*.f64 z z)
15.0ms	z
5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.0%	2	`z`
98.6%	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 28 to 20 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory

9.6MiB live, 56.0MiB 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 x (*.f64 z y)) z))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))

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

Calls

4 calls:

8.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	(*.f64 z z)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.6%	2	`z`
98.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.6%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory

10.1MiB live, 49.9MiB 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 x (*.f64 z y)) z))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`z`
98.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.2%	2	`(*.f64 z z)`
92.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

-12.6MiB live, 26.6MiB 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 x (*.f64 z y)) z))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`z`
97.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.9%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.2%)

Memory

-17.1MiB live, 63.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB 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

3 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

-10.5MiB live, 29.0MiB allocated

Accuracy

Total -4.9b remaining (-21.3%)

Threshold costs -4.9b (-21.3%)

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8929091509121222e+245	1.9796647742440745e+249

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.237037615796585e+307	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013040363521543826	811394.2392728109

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013040363521543826	811394.2392728109

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013040363521543826	811394.2392728109

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013040363521543826	811394.2392728109

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify34.0ms (0.3%)

Memory

3.4MiB live, 42.4MiB allocated

Algorithm

1×	egg-herbie

Rules

338×	`distribute-lft-neg-in_binary64`
206×	`neg-sub0_binary64`
206×	`neg-mul-1_binary64`
184×	`cancel-sign-sub_binary64`
162×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	190
1	86	190
2	110	188
3	151	188
4	210	188
5	346	188
6	619	188
7	793	188
8	961	188
9	1084	188
10	1134	188
11	1143	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) (.f64 z (neg.f64 x))) z)))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 x z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 z y)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x z) y) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 z y)) z (*.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) (.f64 z (neg.f64 x))) z)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (.f64 x z) y))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (.f64 z y))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z))))
(if (<=.f64 (.f64 y (+.f64 (.f64 z z) #s(literal 1 binary64))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (*.f64 z y))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x z) (.f64 z y))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 z y)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x (.f64 z y)))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

soundness1.4s (12.5%)

Memory

-10.5MiB live, 1 114.0MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
9 374×	`lower-fma.f32`
9 368×	`lower-fma.f64`
8 592×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	38	94
1	147	86
2	913	86
0	8604	86
0	90	3109
1	256	3072
2	735	2959
3	2282	2892
4	5884	2892
0	8329	2746
0	9	29
0	14	29
1	58	29
2	360	29
3	2758	29
0	9078	26
0	26	134
0	48	134
1	179	134
2	1191	112
0	8956	112
0	52	814
1	135	812
2	389	807
3	1483	790
4	3946	754
5	7664	754
0	8189	693
0	20	105
0	38	103
1	160	103
2	827	103
3	6876	103
0	9428	103

Stop Event

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

Compiler

Compiled 989 to 492 computations (50.3% saved)

preprocess185.0ms (1.7%)

Memory

32.8MiB live, 386.7MiB allocated

Remove

(negabs y)

(abs z)

Compiler

Compiled 858 to 340 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze91.0ms (0.8%)

sample877.0ms (8.1%)

preprocess326.0ms (3%)

explain159.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize42.0ms (0.4%)

series11.0ms (0.1%)

rewrite570.0ms (5.3%)

simplify434.0ms (4%)

eval59.0ms (0.5%)

prune103.0ms (1%)

simplify13.0ms (0.1%)

localize84.0ms (0.8%)

series46.0ms (0.4%)

rewrite838.0ms (7.8%)

simplify527.0ms (4.9%)

eval247.0ms (2.3%)

prune246.0ms (2.3%)

simplify290.0ms (2.7%)

localize69.0ms (0.6%)

series27.0ms (0.2%)

rewrite418.0ms (3.9%)

simplify335.0ms (3.1%)

eval410.0ms (3.8%)

prune599.0ms (5.5%)

simplify594.0ms (5.5%)

localize180.0ms (1.7%)

series89.0ms (0.8%)

rewrite475.0ms (4.4%)

simplify322.0ms (3%)

eval203.0ms (1.9%)

prune207.0ms (1.9%)

regimes95.0ms (0.9%)

regimes48.0ms (0.4%)

regimes45.0ms (0.4%)

regimes63.0ms (0.6%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes23.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify34.0ms (0.3%)

soundness1.4s (12.5%)

preprocess185.0ms (1.7%)

end0.0ms (0%)

Profiling