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

analyze71.0ms (0.7%)

Memory

2.7MiB live, 83.5MiB 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)

sample1.0s (10.3%)

Memory

22.3MiB live, 1 158.1MiB allocated

Samples

715.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 492.0ms

ival-div: 336.0ms (68.3% of total)

ival-mult: 102.0ms (20.7% of total)

ival-add: 40.0ms (8.1% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess327.0ms (3.3%)

Memory

14.9MiB live, 53.1MiB 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)

explain434.0ms (4.4%)

Memory

-150.8MiB live, 210.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
22	1	(1.7161044390749632e-217 3.5195635248021696e+38 5.5218832938942285e+250)	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
2	0	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`z`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	0	-	-	`(*.f64 z z)`
0	0	-	-	`y`
0	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	23	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	72
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	49
↳	`(*.f64 z z)`	overflow	49
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	2	0

Confusion

	Predicted +	Predicted -
+	24	0
-	1	231

Precision

0.96

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	0
-	1	0	231

Precision?

0.96

Recall?

1.0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

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

ival-div: 7.0ms (43.8% of total)

ival-mult: 6.0ms (37.5% of total)

ival-add: 2.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify9.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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

localize31.0ms (0.3%)

Memory

0.4MiB live, 35.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.2%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

15.0ms

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 (38.2% of total)

ival-mult: 3.0ms (38.2% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

4 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite316.0ms (3.2%)

Memory

23.5MiB live, 577.8MiB 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	26
0	14	26
1	58	26
2	360	26
3	2758	26
0	9078	23

Stop Event

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

Counts

4 → 416

Calls

Call 1

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

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

simplify719.0ms (7.3%)

Memory

-23.7MiB live, 655.6MiB 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	51	778
1	135	776
2	389	771
3	1480	754
4	4029	718
5	7728	718
0	8272	657

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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))
(* 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)
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))))

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

simplify89.0ms (0.9%)

Memory

-16.7MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1022	12507
1	1023	12507
0	1023	12507

Stop Event

1×	saturated
1×	saturated

Counts

416 → 0

Calls

Call 1

Inputs
(+.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))))
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Outputs
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) #s(literal 1 binary64))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 z z))))
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(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 (.f64 z (.f64 z (.f64 z z)))))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (*.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)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z (.f64 z z))) (neg.f64 (.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))))) (neg.f64 (fma.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z (.f64 z (.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))))) (neg.f64 (fma.f64 z (.f64 z (*.f64 z z)) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z z))))) (pow.f64 (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z)))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z))))))))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z (.f64 z (.f64 z z)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (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 (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))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 z (.f64 z (.f64 z z))) (neg.f64 (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 z z))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 z z))))) (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)) (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 (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 #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)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z (.f64 z (.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (*.f64 z z)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))))

eval14.0ms (0.1%)

Memory: 14.0MiB live, 52.6MiB allocated
Compiler: Compiled 1 891 to 48 computations (97.5% saved)

prune7.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	8	167

Accuracy

95.2%

Counts

167 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.1%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
▶	44.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
	64.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
▶	28.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 (.f64 z z) (.f64 z z))))) (fma.f64 z z #s(literal -1 binary64)))) (.f64 z z))
▶	91.2%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
▶	44.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
▶	65.0%	(/.f64 #s(literal 1 binary64) (*.f64 x y))

Compiler

Compiled 222 to 138 computations (37.8% saved)

simplify286.0ms (2.9%)

Memory

-12.2MiB live, 415.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

7 140×	`lower-fma.f32`
7 136×	`lower-fma.f64`
3 770×	`lower-*.f32`
3 752×	`lower-*.f64`
3 476×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	224
0	43	224
1	91	204
2	269	190
3	1495	190
4	4709	186
0	8287	186

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1%)

Memory

-14.9MiB live, 149.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.3%	(.f64 y (.f64 (.f64 z z) (.f64 z z)))
✓	accuracy	93.0%	(.f64 x (.f64 y (.f64 (.f64 z z) (*.f64 z z))))
✓	accuracy	92.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 (.f64 z z) (.f64 z z))))) (fma.f64 z z #s(literal -1 binary64)))) (.f64 z z))
✓	accuracy	77.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 (.f64 z z) (.f64 z z))))) (fma.f64 z z #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	accuracy	87.5%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	accuracy	91.9%	(.f64 x (.f64 y (*.f64 z z)))
✓	accuracy	87.5%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y)))
✓	accuracy	99.2%	(fma.f64 y (*.f64 z z) y)
✓	accuracy	92.7%	(.f64 x (fma.f64 y (.f64 z z) y))

Samples

46.0ms

256×

valid

Compiler

Compiled 233 to 26 computations (88.8% saved)

Precisions

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

ival-mult: 14.0ms (48.6% of total)

ival-div: 10.0ms (34.7% of total)

ival-add: 2.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.5%)

Memory

16.1MiB live, 52.9MiB allocated

Counts

15 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
16.0ms	z	@	inf	(* (/ 1 (* x (* y (* (* z z) (* z z))))) (+ (* z z) -1))
4.0ms	x	@	-inf	(/ 1 (* x (* y (* z z))))
2.0ms	y	@	-inf	(* x (+ (* y (* z z)) y))
1.0ms	x	@	0	(* (/ 1 (* x (* y (* (* z z) (* z z))))) (+ (* z z) -1))
1.0ms	y	@	0	(* (/ 1 (* x (* y (* (* z z) (* z z))))) (+ (* z z) -1))

rewrite347.0ms (3.5%)

Memory

-5.1MiB live, 556.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 144×	`lower-*.f32`
5 126×	`lower-*.f64`
4 622×	`lower-/.f32`
4 608×	`lower-/.f64`
3 684×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	134
0	43	126
1	176	110
2	1408	108
0	8542	108

Stop Event

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

Counts

15 → 716

Calls

Call 1

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

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

simplify261.0ms (2.6%)

Memory

30.0MiB live, 410.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 742×	`lower-fma.f64`
4 742×	`lower-fma.f32`
3 178×	`lower-*.f64`
3 178×	`lower-*.f32`
3 012×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	4045
1	248	4034
2	743	4016
3	2440	3993
4	6023	3887
0	8101	3768

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 431

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

simplify205.0ms (2.1%)

Memory

-19.0MiB live, 282.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1577	20740
1	1578	20740
0	1578	20740

Stop Event

1×	saturated
1×	saturated

Counts

716 → 0

Calls

Call 1

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

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

eval159.0ms (1.6%)

Memory: -3.5MiB live, 217.8MiB allocated
Compiler: Compiled 17 841 to 80 computations (99.6% saved)

prune9.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 123	3	1 126
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	1 125	9	1 134

Accuracy

95.2%

Counts

1 134 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.5%	(/.f64 (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.f64 z #s(literal 6 binary64)))
▶	59.1%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
▶	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
✓	44.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
▶	64.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
▶	36.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z))))) (*.f64 z z))
▶	94.5%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	44.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	65.0%	(/.f64 #s(literal 1 binary64) (*.f64 x y))

Compiler

Compiled 220 to 136 computations (38.2% saved)

simplify321.0ms (3.2%)

Memory

-27.4MiB live, 420.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

9 720×	`lower-fma.f32`
9 714×	`lower-fma.f64`
3 502×	`lower-*.f32`
3 486×	`lower-*.f64`
1 734×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	167
0	48	163
1	98	163
2	233	163
3	633	163
4	1564	159
5	3084	159
6	6023	159
0	8114	159

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.9%)

Memory

37.3MiB live, 154.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.3%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
✓	accuracy	91.9%	(.f64 x (.f64 y (*.f64 z z)))
✓	accuracy	90.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z))))) (*.f64 z z))
✓	accuracy	87.5%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.2%	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1 binary64))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 z z #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	90.8%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	accuracy	98.9%	(.f64 y (fma.f64 x (.f64 z z) x))
✓	accuracy	92.6%	(fma.f64 x (*.f64 z z) x)

Samples

49.0ms

256×

valid

Compiler

Compiled 177 to 29 computations (83.6% saved)

Precisions

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

ival-mult: 13.0ms (41.9% of total)

ival-div: 12.0ms (38.7% of total)

ival-add: 3.0ms (9.7% of total)

ival-sub: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-13.5MiB live, 62.1MiB allocated

Counts

18 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

rewrite371.0ms (3.7%)

Memory

-15.0MiB live, 542.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 422×	`lower-fma.f32`
7 416×	`lower-fma.f64`
4 366×	`lower-/.f32`
4 350×	`lower-/.f64`
3 496×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	125
0	48	121
1	206	121
2	1842	117
0	8386	117

Stop Event

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

Counts

18 → 1 021

Calls

Call 1

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

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

simplify389.0ms (3.9%)

Memory

15.3MiB live, 609.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 578×	`lower-fma.f64`
13 578×	`lower-fma.f32`
4 096×	`lower-*.f64`
4 096×	`lower-*.f32`
2 390×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	4053
1	307	3930
2	866	3819
3	3528	3602
4	7334	3602
0	8010	3456

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 430

Calls

Call 1

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

Outputs
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
x
(+ x (* x (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(+ x (* x (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(+ x (* x (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (pow z 2))
(.f64 x (.f64 z z))
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* x (pow z 2))
(.f64 x (.f64 z z))
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* y (+ x (* x (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x y)
(*.f64 x y)
(+ (* x y) (* x (* y (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(+ (* x y) (* x (* y (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(+ (* x y) (* x (* y (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (pow z 2)))
(.f64 x (.f64 z (*.f64 z y)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* x (* y (pow z 2)))
(.f64 x (.f64 z (*.f64 z y)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (fma.f64 z (.f64 z y) y))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z y) y)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (fma.f64 z (neg.f64 (.f64 z (.f64 z z))) (fma.f64 z z #s(literal -1 binary64)))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 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 z (*.f64 z y))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (.f64 z (.f64 z 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 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (.f64 z (.f64 z y)))) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (.f64 z (.f64 z y)))) (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (.f64 z (.f64 z 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 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (.f64 z (.f64 z y)))) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (.f64 z (.f64 z y)))) (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(* -1 (/ (pow z 2) (* x y)))
(/.f64 (.f64 z z) (.f64 x (neg.f64 y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(* -1 (/ (pow z 2) (* x y)))
(/.f64 (.f64 z z) (.f64 x (neg.f64 y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
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-1
#s(literal -1 binary64)
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simplify347.0ms (3.5%)

Memory

20.2MiB live, 294.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1709	23713
1	1710	23713
0	1710	23713

Stop Event

1×	saturated
1×	saturated

Counts

1 021 → 0

Calls

Call 1

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

eval192.0ms (1.9%)

Memory: 11.4MiB live, 128.6MiB allocated
Compiler: Compiled 11 521 to 68 computations (99.4% saved)

prune46.0ms (0.5%)

Memory

-24.2MiB live, 15.2MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	928	4	932
Fresh	0	1	1
Picked	1	4	5
Done	1	2	3
Total	930	11	941

Accuracy

95.9%

Counts

941 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.5%	(/.f64 (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.f64 z #s(literal 6 binary64)))
✓	59.1%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
▶	47.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))
▶	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))
✓	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
✓	64.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
✓	94.5%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
▶	47.5%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
▶	45.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))
✓	44.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	65.0%	(/.f64 #s(literal 1 binary64) (*.f64 x y))

Compiler

Compiled 212 to 137 computations (35.4% saved)

simplify551.0ms (5.6%)

Memory

-2.2MiB live, 335.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(/.f64 (.f64 z z) (.f64 x y))
✓	cost-diff	0	(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)))
✓	cost-diff	0	(/.f64 (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.f64 z #s(literal 6 binary64)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(.f64 z (.f64 z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(.f64 z (.f64 z y))
✓	cost-diff	0	(.f64 x (.f64 z (*.f64 z y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 x (.f64 z z))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 z z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))

Rules

18 744×	`lower-fma.f32`
18 740×	`lower-fma.f64`
4 276×	`lower-*.f32`
4 262×	`lower-*.f64`
1 560×	`lower-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	173
0	43	173
1	88	173
2	231	173
3	609	173
4	1523	173
5	3109	173
6	5668	171
0	8230	171

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.4%)

Memory

1.7MiB live, 79.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	98.3%	(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)))
✓	accuracy	82.8%	(/.f64 (.f64 z z) (.f64 x y))
✓	accuracy	59.7%	(/.f64 (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.f64 z #s(literal 6 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	83.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.8%	(.f64 z (.f64 z y))
✓	accuracy	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.8%	(.f64 z (.f64 z y))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))
✓	accuracy	91.9%	(.f64 x (.f64 z (*.f64 z y)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	accuracy	89.4%	(.f64 x (.f64 z z))
✓	accuracy	89.2%	(.f64 y (.f64 x (*.f64 z z)))

Samples

45.0ms

256×

valid

Compiler

Compiled 180 to 27 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 11.0ms (39.6% of total)

ival-mult: 11.0ms (39.6% of total)

ival-pow: 3.0ms (10.8% of total)

ival-add: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.5%)

Memory

-5.7MiB live, 31.4MiB allocated

Counts

16 → 468

Calls

Call 1

Inputs
#<alt (.f64 y (.f64 x (*.f64 z z)))>
#<alt (.f64 x (.f64 z z))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))>
#<alt (*.f64 z z)>
#<alt (.f64 x (.f64 z (*.f64 z y)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))>
#<alt (.f64 z (.f64 z y))>
#<alt (*.f64 z y)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (/.f64 (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.f64 z #s(literal 6 binary64)))>
#<alt (/.f64 (.f64 z z) (.f64 x y))>
#<alt (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)))>

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

Calls

117 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	(/ (* z z) (* x y))
2.0ms	x	@	0	(/ (+ (* (/ (* z z) (* x y)) (+ (* z z) -1)) (/ 1 (* x y))) (pow z 6))
1.0ms	y	@	0	(/ (+ (* (/ (* z z) (* x y)) (+ (* z z) -1)) (/ 1 (* x y))) (pow z 6))
1.0ms	x	@	-inf	(/ (+ (* (/ (* z z) (* x y)) (+ (* z z) -1)) (/ 1 (* x y))) (pow z 6))
1.0ms	y	@	-inf	(/ (+ (* (/ (* z z) (* x y)) (+ (* z z) -1)) (/ 1 (* x y))) (pow z 6))

rewrite490.0ms (5%)

Memory

15.1MiB live, 611.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`lower-/.f32`
5 052×	`lower-/.f64`
4 424×	`lower-*.f32`
4 410×	`lower-*.f64`
2 910×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	43	122
1	171	114
2	1255	114
0	8185	114

Stop Event

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

Counts

16 → 1 148

Calls

Call 1

Inputs
(.f64 y (.f64 x (*.f64 z z)))
(.f64 x (.f64 z z))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(*.f64 z z)
(.f64 x (.f64 z (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))
(.f64 z (.f64 z y))
(*.f64 z y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(/.f64 (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.f64 z #s(literal 6 binary64)))
(/.f64 (.f64 z z) (.f64 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)))

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

simplify241.0ms (2.4%)

Memory

15.1MiB live, 494.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 722×	`lower-fma.f64`
4 722×	`lower-fma.f32`
4 410×	`lower-*.f64`
4 410×	`lower-*.f32`
2 342×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	4314
1	160	4312
2	453	4208
3	1535	3864
4	5601	3848
0	8297	3788

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
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(* -1 (/ (- (* -1 (/ (* (pow z 2) (- (pow z 2) 1)) x)) (/ 1 x)) (* y (pow z 6))))
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(* -1 (/ (- (* -1 (/ (* (pow z 2) (- (pow z 2) 1)) x)) (/ 1 x)) (* y (pow z 6))))
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64)))))))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
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(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ (pow z 2) (* x y))
(/.f64 (.f64 z z) (.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
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(/ (pow z 4) (* x y))
(/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x y))
(* (pow z 4) (- (/ 1 (* x y)) (/ 1 (* x (* y (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 (.f64 z (*.f64 z z))))
(* (pow z 4) (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))))
(fma.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 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(* (pow z 4) (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))))
(fma.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 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/ (pow z 4) (* x y))
(/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x y))
(* (pow z 4) (- (/ 1 (* x y)) (/ 1 (* x (* y (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 (.f64 z (*.f64 z z))))
(* (pow z 4) (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))))
(fma.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 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(* (pow z 4) (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))))
(fma.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 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 y) (/ (* (pow z 2) (- (pow z 2) 1)) y)) x)
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(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
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(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (+ (/ 1 x) (/ (* (pow z 2) (- (pow z 2) 1)) x)) y)
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
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(* -1 (/ (- (* -1 (/ (* (pow z 2) (- (pow z 2) 1)) x)) (/ 1 x)) y))
(neg.f64 (.f64 (fma.f64 z (.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
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simplify487.0ms (4.9%)

Memory

-18.5MiB live, 538.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2341	32841
1	2343	32841
0	2343	32841

Stop Event

1×	saturated
1×	saturated

Counts

1 148 → 0

Calls

Call 1

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

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

eval487.0ms (4.9%)

Memory: 3.4MiB live, 352.9MiB allocated
Compiler: Compiled 15 491 to 64 computations (99.6% saved)

prune11.0ms (0.1%)

Memory

-7.9MiB live, 31.3MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1 223	1	1 224
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	1 224	11	1 235

Accuracy

95.9%

Counts

1 235 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.1%	(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
	10.9%	(/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x y)) (pow.f64 z #s(literal 6 binary64)))
✓	47.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z z))
✓	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (.f64 z y)))
✓	91.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
✓	64.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1 binary64)))
✓	94.5%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
✓	47.5%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	45.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y))))
✓	44.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
✓	65.0%	(/.f64 #s(literal 1 binary64) (*.f64 x y))

Compiler

Compiled 336 to 146 computations (56.5% saved)

regimes48.0ms (0.5%)

Memory

8.2MiB live, 143.0MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	y
6.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
5.0ms	x
5.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
5.0ms	(/.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
94.5%	1	`x`
94.5%	1	`y`
94.5%	1	`z`
94.5%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
94.5%	1	`(/.f64 #s(literal 1 binary64) x)`
94.5%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
94.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.5%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes22.0ms (0.2%)

Memory

-11.0MiB live, 68.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
91.2%	1	`y`
91.2%	1	`x`
94.5%	2	`z`
91.2%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
91.2%	1	`(/.f64 #s(literal 1 binary64) x)`
94.5%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
94.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.5%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

3.4MiB live, 42.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
82.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
94.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.1%	2	`(*.f64 z z)`
94.1%	2	`z`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory

17.0MiB live, 58.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
68.0%	2	`y`
74.0%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
65.0%	1	`(/.f64 #s(literal 1 binary64) x)`
65.0%	1	`x`
91.6%	2	`z`
91.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
91.6%	2	`(*.f64 z z)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes6.0ms (0.1%)

Memory

-17.1MiB live, 22.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(*.f64 z z)
2.0ms	z
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
90.8%	2	`z`
90.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.8%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

-1.1MiB live, 38.1MiB allocated

Accuracy

Total -4.1b remaining (-18.2%)

Threshold costs -4.1b (-18.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
65.0%	1	`y`
65.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
65.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
65.0%	1	`z`
65.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
65.0%	1	`(*.f64 z z)`

Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch15.0ms (0.1%)

Memory

10.7MiB live, 50.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1914294197611644e+32	1.321644499702278e+37

Samples

7.0ms

144×

valid

Compiler

Compiled 260 to 177 computations (31.9% saved)

Precisions

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

ival-div: 2.0ms (46.9% of total)

ival-mult: 2.0ms (46.9% of total)

ival-add: 1.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0217828212823564e-5	328750.85381949233

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0217828212823564e-5	328750.85381949233

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0217828212823564e-5	328750.85381949233

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Memory

-9.5MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	110
1	53	110
2	62	110
3	71	110
4	78	110
5	82	110
6	83	110

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 z z) x)))
(if (<=.f64 z #s(literal 510000000000000003948709180080128 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 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) (.f64 y (fma.f64 x (.f64 z z) x)))
(if (<=.f64 z #s(literal 510000000000000003948709180080128 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 z z) y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 z y)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z (*.f64 y z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness825.0ms (8.3%)

Memory

19.9MiB live, 557.9MiB allocated

Rules

18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
13 578×	`lower-fma.f64`
13 578×	`lower-fma.f32`
4 742×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	4053
1	307	3930
2	866	3819
3	3528	3602
4	7334	3602
0	8010	3456
0	89	4045
1	248	4034
2	743	4016
3	2440	3993
4	6023	3887
0	8101	3768
0	51	778
1	135	776
2	389	771
3	1480	754
4	4029	718
5	7728	718
0	8272	657

Stop Event

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

Compiler

Compiled 322 to 169 computations (47.5% saved)

preprocess235.0ms (2.4%)

Memory: -10.1MiB live, 348.8MiB allocated
Compiler: Compiled 782 to 350 computations (55.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (0.7%)

sample1.0s (10.3%)

preprocess327.0ms (3.3%)

explain434.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize31.0ms (0.3%)

series9.0ms (0.1%)

rewrite316.0ms (3.2%)

simplify719.0ms (7.3%)

simplify89.0ms (0.9%)

eval14.0ms (0.1%)

prune7.0ms (0.1%)

simplify286.0ms (2.9%)

localize95.0ms (1%)

series54.0ms (0.5%)

rewrite347.0ms (3.5%)

simplify261.0ms (2.6%)

simplify205.0ms (2.1%)

eval159.0ms (1.6%)

prune9.0ms (0.1%)

simplify321.0ms (3.2%)

localize87.0ms (0.9%)

series28.0ms (0.3%)

rewrite371.0ms (3.7%)

simplify389.0ms (3.9%)

simplify347.0ms (3.5%)

eval192.0ms (1.9%)

prune46.0ms (0.5%)

simplify551.0ms (5.6%)

localize134.0ms (1.4%)

series51.0ms (0.5%)

rewrite490.0ms (5%)

simplify241.0ms (2.4%)

simplify487.0ms (4.9%)

eval487.0ms (4.9%)

prune11.0ms (0.1%)

regimes48.0ms (0.5%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness825.0ms (8.3%)

preprocess235.0ms (2.4%)

end0.0ms (0%)

Profiling