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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze122.0ms (1.4%)

Memory

3.0MiB live, 119.0MiB 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 (11.8%)

Memory

30.3MiB live, 1 366.7MiB allocated

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-div: 140.0ms (41.6% of total)

ival-mult: 138.0ms (41% of total)

ival-add: 44.0ms (13.1% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain89.0ms (1.1%)

Memory

24.3MiB live, 147.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	15	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	9	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	62
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	64
↳	`(*.f64 z z)`	overflow	64

Confusion

	Predicted +	Predicted -
+	19	0
-	5	232

Precision

0.7916666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	5	0	232

Precision?

0.7916666666666666

Recall?

1.0

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-div: 7.0ms (40.3% of total)

ival-mult: 7.0ms (40.3% of total)

ival-add: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess324.0ms (3.8%)

Memory

-17.6MiB live, 20.7MiB 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 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize36.0ms (0.4%)

Memory

0.8MiB live, 40.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	0.7273505499822657	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.023213046574803	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

23.0ms

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 (38.5% of total)

ival-mult: 3.0ms (38.5% of total)

ival-add: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-13.7MiB live, 21.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) (patch (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify207.0ms (2.4%)

Memory

-14.9MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite210.0ms (2.5%)

Memory

13.9MiB live, 289.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26

Stop Event

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

Counts

5 → 437

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #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) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (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) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -3 binary64)) (.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z z))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) 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)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y (*.f64 z z)) y))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (.f64 y y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y)))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 y y) (pow.f64 (.f64 y (*.f64 z z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 y y) (pow.f64 (.f64 y (*.f64 z z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 (*.f64 y z) z y)
(fma.f64 (.f64 y (.f64 z z)) #s(literal 1 binary64) y)
(fma.f64 y (*.f64 z z) y)
(fma.f64 y #s(literal 1 binary64) (.f64 y (.f64 z z)))
(fma.f64 (*.f64 z z) y y)
(fma.f64 z (*.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z z)) y)
(fma.f64 #s(literal 1 binary64) y (.f64 y (.f64 z z)))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (-.f64 (.f64 y (.f64 z z)) y)) (/.f64 (.f64 y y) (-.f64 (.f64 y (*.f64 z z)) y)))
(-.f64 (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(-.f64 (/.f64 (.f64 (.f64 y z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(-.f64 y (/.f64 (.f64 y (.f64 z z)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (.f64 (.f64 y z) (neg.f64 z))))
(+.f64 (.f64 y (.f64 z z)) y)
(+.f64 y (.f64 y (.f64 z z)))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(.f64 #s(literal 1 binary64) (.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval64.0ms (0.8%)

Memory: 17.8MiB live, 169.6MiB allocated
Compiler: Compiled 11 621 to 1 534 computations (86.8% saved)

prune29.0ms (0.3%)

Memory

-22.5MiB live, 51.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	517	15	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	518	15	533

Accuracy

95.4%

Counts

533 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
	93.9%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
▶	92.0%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (.f64 (.f64 y z) (neg.f64 z)))))
	39.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64))) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64))))
▶	48.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	57.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) #s(literal 1 binary64))))
	91.1%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
▶	90.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
	91.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	48.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x)))
▶	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	50.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))))

Compiler

Compiled 348 to 300 computations (13.8% saved)

simplify135.0ms (1.6%)

Memory

31.8MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	896	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff	0	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( 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 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	6144	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))

Rules

1 344×	`lower-fma.f32`
1 342×	`lower-fma.f64`
1 064×	`lower-*.f32`
1 052×	`lower-*.f64`
516×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	166
0	46	161
1	95	161
2	187	161
3	412	161
4	642	161
5	890	161
6	1331	161
7	1611	161
8	1891	161
9	2495	161
10	2786	161
11	2791	161
12	2792	161
13	2792	161
14	2792	161
15	2792	161
0	2792	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (0.9%)

Memory

-17.5MiB live, 187.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.2109375	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	4.971950239594249	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
accuracy	0	(*.f64 z z)
accuracy	0.7273505499822657	(.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z)))
accuracy	5.023213046574803	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
accuracy	30.520310259454444	#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.5005262404185618	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy	0.7273505499822657	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy	4.692068811917244	(.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy	0	(*.f64 y x)
accuracy	0.550275244457113	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	27.3797021196653	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0	(pow.f64 y #s(literal -1 binary64))
accuracy	0.3928708430243324	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy	5.858509050132692	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 160 to 25 computations (84.4% saved)

Precisions

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

ival-div: 12.0ms (39.9% of total)

ival-mult: 9.0ms (29.9% of total)

ival-pow: 3.0ms (10% of total)

ival-add: 2.0ms (6.7% of total)

ival-neg: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

-20.7MiB live, 59.5MiB allocated

Counts

19 → 444

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z))) (patch (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z))) (patch (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z))) (patch (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z))) (patch (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (.f64 z z)) (patch #s(approx (+ 1 ( z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (.f64 z z)) (patch #s(approx (+ 1 ( z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (.f64 z z)) (patch #s(approx (+ 1 ( z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (.f64 z z)) (patch #s(approx (+ 1 ( z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow z 2)) 1) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow z 2)) 1) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow z 2)) 1) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (pow z 2)) (taylor inf z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ x (/ x (pow z 2)))) (taylor inf z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ x (/ x (pow z 2)))) (taylor inf z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ x (/ x (pow z 2)))) (taylor inf z) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 y x))) (patch #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify182.0ms (2.1%)

Memory

52.8MiB live, 266.8MiB allocated

Algorithm

1×	egg-herbie

Rules

19 118×	`lower-fma.f64`
19 118×	`lower-fma.f32`
4 804×	`lower-*.f64`
4 804×	`lower-*.f32`
2 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	4071
1	184	4061
2	497	4017
3	1942	3942
4	5026	3782
0	8552	3503

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

rewrite236.0ms (2.8%)

Memory

-27.0MiB live, 271.4MiB allocated

Rules

4 326×	`lower-*.f32`
4 314×	`lower-*.f64`
3 564×	`lower-/.f32`
3 548×	`lower-/.f64`
3 030×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	137
0	46	132
1	184	132
2	1116	132
0	8368	132

Stop Event

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

Counts

19 → 1 786

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 y) y))) (.f64 y (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) y) (.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 x (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z z) x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) z)) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (.f64 x y) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64))) (pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 z z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 z z))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 z z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 z z))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 #s(literal -1 binary64) (.f64 z z))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 z z))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
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(-.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 z z))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 (neg.f64 z)) z)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(.f64 (neg.f64 z) (.f64 z #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 z))
(.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64))
(.f64 (.f64 z z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 z (.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (neg.f64 z)))
(*.f64 z z)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval649.0ms (7.6%)

Memory: 1.5MiB live, 504.1MiB allocated
Compiler: Compiled 46 219 to 4 491 computations (90.3% saved)

prune144.0ms (1.7%)

Memory

15.6MiB live, 180.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	2 543	14	2 557
Fresh	8	2	10
Picked	3	2	5
Done	0	0	0
Total	2 554	18	2 572

Accuracy

100.0%

Counts

2 572 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 z x) z x))
	50.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 #s(approx (+ (* z z) 1) (*.f64 z z))))
	94.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	48.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
▶	91.8%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
	97.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (.f64 z x) (*.f64 x y)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (*.f64 x y)))
	93.7%	(/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 (.f64 (*.f64 z z) x) y)))
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) z y) x))
	93.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
▶	48.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
	50.8%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 ( z z)) (.f64 z z)) (.f64 x y)))
	51.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
▶	57.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	56.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))

Compiler

Compiled 340 to 292 computations (14.1% saved)

simplify103.0ms (1.2%)

Memory

-11.0MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 z x)
cost-diff	0	(.f64 y (.f64 z x))
cost-diff	320	(fma.f64 (.f64 y (.f64 z x)) z (*.f64 x y))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) 1) (*.f64 z z))
cost-diff	0	(.f64 y #s(approx (+ ( z z) 1) (*.f64 z z)))
cost-diff	0	(.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
cost-diff	0	(*.f64 z x)
cost-diff	0	(fma.f64 (*.f64 z x) z x)
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	5376	(/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 z x) z x))

Rules

1 344×	`lower-fma.f32`
1 338×	`lower-fma.f64`
1 064×	`lower-*.f32`
1 050×	`lower-*.f64`
518×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	178
0	54	174
1	101	172
2	186	170
3	433	170
4	791	170
5	1216	170
6	1567	170
7	1890	170
8	2483	170
9	2783	170
10	2814	170
11	2815	170
12	2815	170
13	2815	170
14	2815	170
0	2815	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

25.8MiB live, 103.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	0.5564561411105688	(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy	5.209794433676864	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
accuracy	0	(*.f64 x y)
accuracy	0.2914634181197776	(fma.f64 (.f64 y (.f64 z x)) z (*.f64 x y))
accuracy	0.5005262404185618	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (*.f64 x y)))
accuracy	4.605951776351984	(.f64 y (.f64 z x))
accuracy	0.5005262404185618	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
accuracy	0.7273505499822657	(.f64 y #s(approx (+ ( z z) 1) (*.f64 z z)))
accuracy	4.692068811917244	(.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
accuracy	30.520310259454444	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 y)
accuracy	0.2109375	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy	27.3797021196653	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy	0	(pow.f64 y #s(literal -1 binary64))
accuracy	0	(*.f64 z x)
accuracy	0.078125	(fma.f64 (*.f64 z x) z x)
accuracy	0.3928708430243324	(/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 z x) z x))

Samples

74.0ms

256×

valid

Compiler

Compiled 168 to 33 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 33.0ms (58.3% of total)

ival-div: 13.0ms (23% of total)

ival-add: 4.0ms (7.1% of total)

ival-pow: 3.0ms (5.3% of total)

ival-neg: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.9%)

Memory

-3.3MiB live, 77.1MiB allocated

Counts

22 → 528

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x) (patch (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x) (patch (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x) (patch (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x) (patch (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) (patch (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) (patch (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) (patch (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) (patch (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 y (.f64 z x)) (patch (.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 y (.f64 z x)) (patch (.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 y (.f64 z x)) (patch (.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 y (.f64 z x)) (patch (.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ ( z z) 1) (*.f64 z z))) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z x)) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((/ (pow y -1) (+ (* (* z x) z) x)) (pow y -1) (+ (* (* z x) z) x) (* z x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (+ (* (* y (* z x)) z) (* x y)) (* y (* z x)) (* x y) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 (+ (* (* y (* z x)) z) (* x y))) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)))
7.0ms	y	@	0	((/ (pow y -1) (+ (* (* z x) z) x)) (pow y -1) (+ (* (* z x) z) x) (* z x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (+ (* (* y (* z x)) z) (* x y)) (* y (* z x)) (* x y) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 (+ (* (* y (* z x)) z) (* x y))) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)))
5.0ms	x	@	-inf	((/ (pow y -1) (+ (* (* z x) z) x)) (pow y -1) (+ (* (* z x) z) x) (* z x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (+ (* (* y (* z x)) z) (* x y)) (* y (* z x)) (* x y) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 (+ (* (* y (* z x)) z) (* x y))) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)))
4.0ms	y	@	-inf	((/ (pow y -1) (+ (* (* z x) z) x)) (pow y -1) (+ (* (* z x) z) x) (* z x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (+ (* (* y (* z x)) z) (* x y)) (* y (* z x)) (* x y) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 (+ (* (* y (* z x)) z) (* x y))) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)))
3.0ms	x	@	0	((/ (pow y -1) (+ (* (* z x) z) x)) (pow y -1) (+ (* (* z x) z) x) (* z x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (+ (* (* y (* z x)) z) (* x y)) (* y (* z x)) (* x y) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ 1 (+ (* (* y (* z x)) z) (* x y))) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)))

simplify260.0ms (3.1%)

Memory

-47.9MiB live, 216.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 438×	`lower-fma.f64`
6 438×	`lower-fma.f32`
3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
2 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	4551
1	315	4540
2	833	4496
3	2829	4412
4	7439	4412
0	8294	4158

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 526

Calls

Call 1

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

rewrite427.0ms (5%)

Memory

-2.7MiB live, 314.4MiB allocated

Rules

7 510×	`lower-fma.f32`
7 504×	`lower-fma.f64`
5 400×	`lower-*.f32`
5 386×	`lower-*.f64`
3 462×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	155
0	54	151
1	212	147
2	1353	147
0	8682	147

Stop Event

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

Counts

22 → 1 506

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 (*.f64 z z) y y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (*.f64 z z) y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) y) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z))))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (.f64 z z) y y) x) #s(literal -1/2 binary64))) (pow.f64 (.f64 (fma.f64 (.f64 z z) y y) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 (*.f64 x z) z x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 z z)))
(.f64 (/.f64 y (.f64 (fma.f64 (.f64 z z) y y) x)) (/.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) (.f64 y (.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
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(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 (.f64 z z) x)) (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z z))))) (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (*.f64 z z) x) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 z z) x) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x z) y) z)) (.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 x) y)))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))) (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z)))))))

eval342.0ms (4%)

Memory: 32.5MiB live, 452.8MiB allocated
Compiler: Compiled 38 210 to 2 991 computations (92.2% saved)

prune59.0ms (0.7%)

Memory

14.0MiB live, 141.6MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	2 052	8	2 060
Fresh	7	4	11
Picked	3	2	5
Done	0	2	2
Total	2 062	16	2 078

Accuracy

100.0%

Counts

2 078 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 #s(approx (+ (* z z) 1) (*.f64 z z))))
▶	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z x) z x))
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	48.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	51.9%	(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
▶	95.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
	97.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (.f64 z x) (*.f64 x y)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
	51.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
✓	48.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
▶	50.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
	91.8%	#s(approx (/ (pow y -1) (+ (* (* z x) z) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
▶	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
	52.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (.f64 y y)) (pow.f64 y #s(literal -1 binary64)))))
✓	57.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 285 to 245 computations (14% saved)

simplify95.0ms (1.1%)

Memory

-9.6MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 344×	`lower-fma.f32`
1 340×	`lower-fma.f64`
1 064×	`lower-*.f32`
1 050×	`lower-*.f64`
396×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	170
0	52	166
1	96	166
2	152	163
3	286	163
4	408	163
5	689	163
6	969	163
7	1216	163
8	1541	163
9	1764	163
10	2002	163
11	2524	163
12	2632	163
13	2632	163
14	2632	163
15	2632	163
16	2632	163
0	2632	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

-11.6MiB live, 105.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.2914634181197776	(fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y))
accuracy	0.5005262404185618	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
accuracy	4.151552846044145	(.f64 (.f64 x y) z)
accuracy	0	(*.f64 x z)
accuracy	0.078125	(fma.f64 (*.f64 x z) z x)
accuracy	0.2679042116346442	(.f64 (fma.f64 (.f64 x z) z x) y)
accuracy	0.5005262404185618	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
accuracy	0	(*.f64 x y)
accuracy	0.5005262404185618	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
accuracy	4.768083500977953	(.f64 (.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z)))
accuracy	30.520310259454444	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.19140625	(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy	27.3797021196653	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 z x)
accuracy	0.078125	(fma.f64 (*.f64 z x) z x)
accuracy	0.3928708430243324	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z x) z x))

Samples

67.0ms

256×

valid

Compiler

Compiled 160 to 33 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 20.0ms (42% of total)

ival-mult: 20.0ms (42% of total)

ival-add: 5.0ms (10.5% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

24.2MiB live, 60.9MiB allocated

Counts

20 → 528

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 z x) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) z x) (patch (fma.f64 (.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z))) (patch (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z))) (patch (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z))) (patch (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z))) (patch (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x z) z x) y) (patch (.f64 (fma.f64 (.f64 x z) z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x z) z x) y) (patch (.f64 (fma.f64 (.f64 x z) z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x z) z x) y) (patch (.f64 (fma.f64 (.f64 x z) z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x z) z x) y) (patch (.f64 (fma.f64 (.f64 x z) z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x z) z x) (patch (fma.f64 (.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x z) z x) (patch (fma.f64 (.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x z) z x) (patch (fma.f64 (.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x z) z x) (patch (fma.f64 (.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) (patch (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) (patch (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) (patch (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) (patch (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) z) (patch (.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ ( z z) 1) (*.f64 z z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify153.0ms (1.8%)

Memory

-7.0MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 338×	`lower-fma.f64`
6 338×	`lower-fma.f32`
2 952×	`lower-*.f64`
2 952×	`lower-*.f32`
1 886×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	4618
1	255	4608
2	681	4573
3	2369	4498
4	6042	4483
0	8336	4198

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 526

Calls

Call 1

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

rewrite202.0ms (2.4%)

Memory

6.6MiB live, 356.8MiB allocated

Rules

4 862×	`lower-*.f32`
4 848×	`lower-*.f64`
4 484×	`lower-fma.f32`
4 480×	`lower-fma.f64`
4 128×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	148
0	52	144
1	212	142
2	1202	141
0	8351	138

Stop Event

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

Counts

20 → 1 641

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 x x) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) y) (/.f64 (.f64 x (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))
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(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x z) y) z)) (.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x z) y) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 y) x)))
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(.f64 (.f64 z y) x)
(.f64 (.f64 x z) y)
(.f64 (.f64 x y) z)
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(.f64 z (.f64 x y))
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(/.f64 z (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
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(neg.f64 (.f64 (.f64 (neg.f64 y) x) z))
(neg.f64 (.f64 (neg.f64 x) (.f64 z y)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ ( z z) 1) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z))))
(.f64 (pow.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (+ (* z z) 1) (.f64 z z)) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (+ ( z z) 1) (.f64 z z)) #s(literal -1 binary64)) (pow.f64 (.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ ( z z) 1) (*.f64 z z)))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ ( z z) 1) (*.f64 z z))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* z z) 1) (.f64 z z)) (.f64 x y))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (.f64 x #s(approx (+ (* z z) 1) (*.f64 z z))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))))
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(pow.f64 (.f64 (.f64 #s(approx (+ (* z z) 1) (.f64 z z)) (.f64 x y)) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 #s(approx (+ (* z z) 1) (.f64 z z)) #s(literal -1 binary64))) (.f64 (neg.f64 y) x))
(/.f64 (pow.f64 #s(approx (+ (* z z) 1) (.f64 z z)) #s(literal -1 binary64)) (.f64 x y))
(/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (neg.f64 (neg.f64 #s(approx (+ ( z z) 1) (*.f64 z z)))))
(/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 y) #s(approx (+ ( z z) 1) (*.f64 z z))))
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(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) #s(approx (+ ( z z) 1) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (+ ( z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (pow.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y)))
(neg.f64 (/.f64 (pow.f64 #s(approx (+ (* z z) 1) (.f64 z z)) #s(literal -1 binary64)) (.f64 (neg.f64 y) x)))
(neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (neg.f64 #s(approx (+ ( z z) 1) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) y)))
(neg.f64 (.f64 (pow.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(neg.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) #s(literal -1 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* z z) 1) (.f64 z z)) (.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (+ (* z z) 1) (.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ ( z z) 1) (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (* z z) 1) (.f64 z z)) (.f64 x y))) #s(literal -1 binary64)))

eval274.0ms (3.2%)

Memory: 28.9MiB live, 628.3MiB allocated
Compiler: Compiled 46 349 to 2 960 computations (93.6% saved)

prune127.0ms (1.5%)

Memory

-44.1MiB live, 237.8MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	2 302	1	2 303
Fresh	1	6	7
Picked	0	5	5
Done	0	4	4
Total	2 303	16	2 319

Accuracy

100.0%

Counts

2 319 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 #s(approx (+ (* z z) 1) (*.f64 z z))))
	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y)
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z x) z x))
	92.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	48.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (+ 1 ( z z)) (*.f64 z z))))
	51.9%	(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
✓	95.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
	97.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (.f64 z x) (*.f64 x y)))
✓	98.8%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
	51.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
✓	48.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
✓	50.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
✓	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
	52.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (.f64 y y)) (pow.f64 y #s(literal -1 binary64)))))
✓	57.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	57.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 581 to 275 computations (52.7% saved)

regimes93.0ms (1.1%)

Memory

-11.2MiB live, 184.3MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
12.0ms	(*.f64 z z)
12.0ms	y
11.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
11.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.4%	1	`(/.f64 #s(literal 1 binary64) x)`
99.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.4%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes60.0ms (0.7%)

Memory

6.4MiB live, 126.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.8%	1	`(/.f64 #s(literal 1 binary64) x)`
98.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes34.0ms (0.4%)

Memory

32.2MiB live, 71.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
93.7%	1	`x`
93.7%	1	`z`
93.7%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
93.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
93.7%	1	`(*.f64 z z)`
93.7%	1	`y`
93.7%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.7%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes63.0ms (0.7%)

Memory

-11.2MiB live, 69.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	(/.f64 #s(literal 1 binary64) x)
16.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
4.0ms	x
4.0ms	y
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
90.8%	1	`x`
93.7%	2	`z`
90.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
93.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
93.7%	2	`(*.f64 z z)`
90.8%	1	`y`
90.8%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes17.0ms (0.2%)

Memory

6.8MiB live, 43.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
92.9%	2	`z`
92.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
92.9%	2	`(*.f64 z z)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes28.0ms (0.3%)

Memory

-10.4MiB live, 65.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
63.5%	3	`x`
63.5%	3	`(/.f64 #s(literal 1 binary64) x)`
66.3%	4	`y`
77.5%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
91.0%	2	`z`
91.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
91.0%	2	`(*.f64 z z)`

Compiler

Compiled 25 to 33 computations (-32% saved)

regimes8.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.0%	2	`z`
90.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.0%	2	`(*.f64 z z)`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes39.0ms (0.5%)

Memory

-3.2MiB live, 43.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	(*.f64 z z)
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
57.1%	1	`(/.f64 #s(literal 1 binary64) x)`
57.1%	1	`x`
57.1%	1	`y`
57.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
57.1%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
57.1%	1	`z`
57.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
57.1%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes35.0ms (0.4%)

Memory

-5.5MiB live, 33.5MiB allocated

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

24.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	z
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	y

Results

Accuracy	Segments	Branch
57.1%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
57.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
57.1%	1	`(*.f64 z z)`
57.1%	1	`x`
57.1%	1	`y`
57.1%	1	`z`
57.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
57.1%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2725457.34307806	7.183361469867511e+29

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07310610006519404	582.974531533561

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07310610006519404	582.974531533561

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07310610006519404	582.974531533561

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify28.0ms (0.3%)

Memory

-5.0MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`-commutative-binary64-.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`+-commutative-binary64-+.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	228
1	80	228
2	88	228
3	98	228
4	105	228
5	109	228
6	111	228

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z x) z x))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (* z z)) (.f64 z z)) (.f64 x y))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z x) z x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x z) z x) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (* z z)) (.f64 z z)) (.f64 x y))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (* z z)) (.f64 z z)) (.f64 x y))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 y x))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z z)) x))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (.f64 x y))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

soundness1.3s (15.5%)

Memory

24.5MiB live, 1 003.5MiB allocated

Rules

19 118×	`lower-fma.f64`
19 118×	`lower-fma.f32`
18 180×	`lower-fma.f64`
18 180×	`lower-fma.f32`
7 510×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	360	29
3	2750	29
0	9073	26
0	29	137
0	46	132
1	184	132
2	1116	132
0	8368	132
0	33	155
0	54	151
1	212	147
2	1353	147
0	8682	147
0	52	814
1	135	812
2	390	807
3	1474	790
4	3968	754
5	7660	754
0	8222	693
0	68	4071
1	184	4061
2	497	4017
3	1942	3942
4	5026	3782
0	8552	3503

Stop Event

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

Compiler

Compiled 624 to 323 computations (48.2% saved)

preprocess812.0ms (9.6%)

Memory: -129.4MiB live, 753.1MiB allocated
Remove: (abs z)
Compiler: Compiled 842 to 490 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze122.0ms (1.4%)

sample1.0s (11.8%)

explain89.0ms (1.1%)

preprocess324.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize36.0ms (0.4%)

series16.0ms (0.2%)

simplify207.0ms (2.4%)

rewrite210.0ms (2.5%)

eval64.0ms (0.8%)

prune29.0ms (0.3%)

simplify135.0ms (1.6%)

localize73.0ms (0.9%)

series33.0ms (0.4%)

simplify182.0ms (2.1%)

rewrite236.0ms (2.8%)

eval649.0ms (7.6%)

prune144.0ms (1.7%)

simplify103.0ms (1.2%)

localize124.0ms (1.5%)

series73.0ms (0.9%)

simplify260.0ms (3.1%)

rewrite427.0ms (5%)

eval342.0ms (4%)

prune59.0ms (0.7%)

simplify95.0ms (1.1%)

localize124.0ms (1.5%)

series42.0ms (0.5%)

simplify153.0ms (1.8%)

rewrite202.0ms (2.4%)

eval274.0ms (3.2%)

prune127.0ms (1.5%)

regimes93.0ms (1.1%)

regimes60.0ms (0.7%)

regimes34.0ms (0.4%)

regimes63.0ms (0.7%)

regimes17.0ms (0.2%)

regimes28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes39.0ms (0.5%)

regimes35.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.3%)

soundness1.3s (15.5%)

preprocess812.0ms (9.6%)

end0.0ms (0%)

Profiling