Metrics for Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze232.0ms (2.2%)

Memory

-12.5MiB live, 295.6MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample2.0s (19.4%)

Memory

35.9MiB live, 2 112.4MiB allocated

Samples

1.0s	8 256×	0	valid
374.0ms	4 537×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 939.0ms

ival-mult: 533.0ms (56.7% of total)

ival-sqrt: 269.0ms (28.6% of total)

ival-add: 117.0ms (12.5% of total)

ival-true: 9.0ms (1% of total)

exact: 7.0ms (0.7% of total)

ival-assert: 5.0ms (0.5% of total)

Bogosity

explain188.0ms (1.8%)

Memory

-18.5MiB live, 255.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	1	(1.0589847803025756e-100 4.961356944666606e-216 4.642639574157606e-237)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
9	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
5	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	oflow-rescue	56	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	56
↳	`(*.f64 y z)`	overflow	28
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	40
↳	`(*.f64 x z)`	overflow	28
↳	`(*.f64 x y)`	overflow	26
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	9	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	9
↳	`(*.f64 y z)`	underflow	36
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	12
↳	`(*.f64 x z)`	underflow	28
↳	`(*.f64 x y)`	underflow	31
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	9	0
↳	`(*.f64 x y)`	overflow	26
↳	`(*.f64 x z)`	overflow	28
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	5	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	40
↳	`(*.f64 x z)`	overflow	28
↳	`(*.f64 x y)`	overflow	26
↳	`(*.f64 y z)`	overflow	28

Confusion

	Predicted +	Predicted -
+	65	1
-	0	190

Precision

1.0

Recall

0.9848484848484849

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	1
-	0	0	190

Precision?

1.0

Recall?

0.9848484848484849

Freqs

test

number	freq
0	191
1	54
2	8
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions

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

ival-mult: 12.0ms (45.3% of total)

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

ival-sqrt: 4.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (0.6%)

Memory

0.9MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Rules

468×	`cancel-sign-sub-inv`
354×	`sub-neg`
204×	`associate-+l-`
204×	`unsub-neg`
180×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	118
1	133	112
2	237	108
3	446	108
4	929	108
5	1336	108
6	1729	108
7	1794	108
8	1806	108
0	11	14
0	18	12
1	28	12
2	40	12
3	49	12
4	50	12
0	50	11

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y (.f64 z x))) #s(literal 2 binary64))

Symmetry

(sort x y z)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
cost-diff	320	(+.f64 (.f64 x y) (.f64 x z))

Rules

48×	`lower-fma.f64`
48×	`lower-fma.f32`
36×	`lower-+.f32`
32×	`lower-+.f64`
28×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
0	18	49
1	28	49
2	40	49
3	49	49
4	50	49
0	50	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y (.f64 z x))) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
(sqrt.f64 (fma.f64 (+.f64 z x) y (*.f64 z x)))
(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 (+.f64 z y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 x z)
(*.f64 z x)
z
(*.f64 y z)
(*.f64 z y)

localize32.0ms (0.3%)

Memory

17.8MiB live, 55.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	1.0273437500000002	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.5976562500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	15.444789301993792	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

22.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (61.5% of total)

ival-add: 2.0ms (17.6% of total)

ival-sqrt: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

5.6MiB live, 42.0MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())

Outputs
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y z)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x (+ y z))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x z)) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z))))) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z)))))) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3))))))))) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y (+ x z))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* z (+ x y))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z))))
2.0ms	y	@	-inf	(* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z))))
1.0ms	y	@	inf	(* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z))))
1.0ms	z	@	-inf	(* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z))))
1.0ms	z	@	inf	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify177.0ms (1.7%)

Memory

7.9MiB live, 195.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
7 720×	`lower-*.f64`
7 720×	`lower-*.f32`
3 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6236	3318
0	8104	3177

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* y z)
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* x z)
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
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(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 z y) x)))) (sqrt.f64 (/.f64 (+.f64 z y) x))) x)
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 z z) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 z y)) (.f64 (+.f64 z y) (+.f64 z y))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 (+.f64 z y) x)))) (sqrt.f64 (/.f64 (+.f64 z y) x)))) x)
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 z z) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 z y)) (.f64 (+.f64 z y) (+.f64 z y))))) (sqrt.f64 (/.f64 (+.f64 z y) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 z y) x)))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 z y) #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))))))) x)
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 (neg.f64 z) y) x)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (-.f64 (neg.f64 z) y) x))))) (*.f64 z y) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (-.f64 (neg.f64 z) y)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (.f64 y y) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (-.f64 (neg.f64 z) y) x))))) (*.f64 z y) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (-.f64 (neg.f64 z) y)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 (.f64 z z) y) y))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (-.f64 (neg.f64 z) y) x))))) (.f64 z y) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))))) (neg.f64 x))
(sqrt (* x z))
(sqrt.f64 (*.f64 z x))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 z x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (sqrt.f64 (.f64 z x)))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))))) y (sqrt.f64 (.f64 z x)))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 z x) (+.f64 z x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))))) y (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))) y (sqrt.f64 (*.f64 z x)))
(sqrt (* y (+ x z)))
(sqrt.f64 (*.f64 (+.f64 z x) y))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (sqrt.f64 (/.f64 (+.f64 z x) y))) y)
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 z z)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 z x)) (.f64 (+.f64 z x) (+.f64 z x))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 (+.f64 z x) y)))) (sqrt.f64 (/.f64 (+.f64 z x) y)))) y)
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 z z)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 z x)) (.f64 (+.f64 z x) (+.f64 z x))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (sqrt.f64 (/.f64 (+.f64 z x) y)))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 z x) #s(literal 5 binary64)) (pow.f64 y #s(literal 7 binary64))))) (.f64 (*.f64 z z) z)))) y)
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 (neg.f64 x) z) y)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (-.f64 (neg.f64 x) z) y)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (-.f64 (neg.f64 x) z) y)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z) z)) (.f64 (.f64 x x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (neg.f64 x) z) #s(literal 5 binary64)) (pow.f64 y #s(literal 7 binary64))))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (-.f64 (neg.f64 x) z) y)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 y))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (sqrt.f64 (.f64 y x)))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (sqrt.f64 (.f64 y x)))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))))) z (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (sqrt.f64 (*.f64 y x)))
(sqrt (* z (+ x y)))
(sqrt.f64 (*.f64 (+.f64 y x) z))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (+.f64 y x) z)))) (sqrt.f64 (/.f64 (+.f64 y x) z))) z)
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 (+.f64 y x) z)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) z)
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (+.f64 y x) z)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 y x) #s(literal 5 binary64)) (pow.f64 z #s(literal 7 binary64))))) (.f64 (*.f64 y y) y)))) z)
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 (neg.f64 x) y) z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (-.f64 (neg.f64 x) y) z)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (-.f64 (neg.f64 x) y) z)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) y)) (.f64 (.f64 x x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64)) (pow.f64 z #s(literal 7 binary64))))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (-.f64 (neg.f64 x) y) z)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 z))

rewrite300.0ms (2.9%)

Memory

-18.7MiB live, 297.1MiB allocated

Rules

8 534×	`lower-fma.f64`
8 534×	`lower-fma.f32`
4 952×	`lower-*.f32`
4 944×	`lower-*.f64`
2 750×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33

Stop Event

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

Counts

4 → 228

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

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

eval54.0ms (0.5%)

Memory: 41.6MiB live, 118.0MiB allocated
Compiler: Compiled 14 008 to 1 561 computations (88.9% saved)

prune361.0ms (3.4%)

Memory

-103.2MiB live, 233.7MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	354	18	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	355	18	373

Accuracy

85.9%

Counts

373 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.4%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	20.9%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (-.f64 (.f64 z y) (.f64 (+.f64 z y) x)))) (sqrt.f64 (-.f64 (.f64 z y) (*.f64 (+.f64 z y) x)))))
▶	75.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
▶	75.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
	43.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (/.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) x) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) y) y) (fma.f64 z (-.f64 x y) (.f64 y x)))))))
	75.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	35.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z (-.f64 z y) (.f64 y y))) (*.f64 y z))))
	56.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
	63.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))))
▶	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	2.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	38.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
	38.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 (+.f64 y x) z)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
▶	32.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))

Compiler

Compiled 736 to 428 computations (41.8% saved)

simplify19.0ms (0.2%)

Memory

-28.4MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 (+.f64 z x) y))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
cost-diff	0	(+.f64 z x)
cost-diff	0	(fma.f64 y (+.f64 z x) (*.f64 z x))
cost-diff	0	(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))

Rules

222×	`lower-*.f32`
198×	`lower-*.f64`
144×	`lower-fma.f32`
138×	`lower-fma.f64`
84×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	389
0	74	373
1	118	366
2	179	354
3	274	354
4	307	354
0	307	354

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize128.0ms (1.2%)

Memory

5.9MiB live, 271.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.919017875029638	(sqrt.f64 (/.f64 (+.f64 z x) y))
accuracy	8.511238390003454	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
accuracy	17.502082720203603	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 (+.f64 z x) y))))
accuracy	32.08192991297834	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
accuracy	0.21875	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.34821357459288355	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	0.5156194952111204	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	15.395337100209774	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
accuracy	0.03515625	(*.f64 (+.f64 z y) x)
accuracy	15.444789301993792	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	29.46199483448596	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
accuracy	15.444789301993792	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	30.90487083285114	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
accuracy	2.753875973661162	(fma.f64 y (+.f64 z x) (*.f64 z x))
accuracy	15.444789301993792	(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))

Samples

79.0ms

256×

valid

Compiler

Compiled 344 to 41 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 29.0ms (50.2% of total)

ival-sqrt: 13.0ms (22.5% of total)

ival-add: 8.0ms (13.9% of total)

ival-div: 6.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series122.0ms (1.2%)

Memory

15.9MiB live, 164.7MiB allocated

Counts

23 → 792

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) (patch (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #<representation binary64>) () ())
#s(alt (fma.f64 y (+.f64 z x) (.f64 z x)) (patch (fma.f64 y (+.f64 z x) (.f64 z x)) #<representation binary64>) () ())
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 z y) x) (patch (.f64 (+.f64 z y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (sqrt (* x z))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z)))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z))))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z))))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* y (+ x z)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* z (+ x y)))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* y z))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x (+ y z)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #<representation binary64>) () ())) ())
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#s(alt (* y (+ x (+ z (/ (* x z) y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ (* x z) y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ x y)) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) z))) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* 1/2 (sqrt (/ 1 (* x y))))))) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ x y)) (* z (+ (* 1/2 (sqrt (/ 1 (* x y)))) (* z (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) y)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) z))))))) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ z y)) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ 1 (* y z))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))))) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ z y)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ z y)) (* 1/2 (* x (sqrt (/ 1 (* y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ z y)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* 1/2 (sqrt (/ 1 (* y z))))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ z y)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* y (pow z 3))))) (* 1/16 (* x (sqrt (/ 1 (* y (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ x y)) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())

Calls

198 calls:

Time	Variable		Point	Expression
10.0ms	z	@	inf	(* (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y)
8.0ms	x	@	0	(sqrt (/ 1 (+ (* (+ y x) z) (* y x))))
3.0ms	z	@	-inf	(sqrt (/ 1 (+ (* (+ y x) z) (* y x))))
2.0ms	z	@	-inf	(* (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y)
2.0ms	x	@	-inf	(* (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y)

simplify288.0ms (2.8%)

Memory

16.3MiB live, 386.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 876×	`lower-*.f64`
7 876×	`lower-*.f32`
7 212×	`lower-fma.f64`
7 212×	`lower-fma.f32`
5 574×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1628	23262
1	5646	22565
0	9110	21717

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 786

Calls

Call 1

Inputs
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
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(+ (* 2 (sqrt (/ z y))) (* x (+ (sqrt (/ 1 (* y z))) (sqrt (/ z (pow y 3))))))
(+ (* 2 (sqrt (/ z y))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ z (pow y 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) z)))) (* -1/4 (sqrt (/ 1 (* y (pow z 3)))))))))))
(+ (* 2 (sqrt (/ z y))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ z (pow y 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) z)))) (+ (* -1/4 (sqrt (/ 1 (* y (pow z 3))))) (* x (+ (* 1/8 (sqrt (/ 1 (* y (pow z 5))))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))))))
(* x (+ (* 2 (sqrt (/ 1 (* x y)))) (* (sqrt (/ 1 (* x (pow y 3)))) z)))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (sqrt (/ 1 (* x y)))) (+ (* (sqrt (/ 1 (* x (pow y 3)))) z) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 2 (sqrt (/ 1 (* x y)))) (+ (* (sqrt (/ 1 (* x (pow y 3)))) z) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* -1/2 (* (sqrt (/ (pow y 3) (pow x 7))) (* z (+ (* 1/4 (/ (* x (pow z 2)) (pow y 3))) (/ (pow z 3) (pow y 3)))))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 2 (sqrt (/ 1 (* x y)))) (+ (* (sqrt (/ 1 (* x (pow y 3)))) z) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
(* -1 (* (sqrt (/ 1 (* (pow y 3) (+ x z)))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (* (pow y 3) (+ x z)))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (* (pow y 3) (+ x z)))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (* (pow y 3) (+ x z)))) (pow (sqrt -1) 2)))
(sqrt (/ 1 (* x (pow y 3))))
(+ (sqrt (/ 1 (* x (pow y 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)))
(+ (sqrt (/ 1 (* x (pow y 3)))) (* z (+ (* -1/2 (sqrt (/ 1 (* (pow x 3) (pow y 3))))) (* 3/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) z)))))
(+ (sqrt (/ 1 (* x (pow y 3)))) (* z (+ (* -1/2 (sqrt (/ 1 (* (pow x 3) (pow y 3))))) (* z (+ (* -5/16 (* (sqrt (/ 1 (* (pow x 7) (pow y 3)))) z)) (* 3/8 (sqrt (/ 1 (* (pow x 5) (pow y 3))))))))))
(sqrt (/ 1 (* (pow y 3) z)))
(+ (sqrt (/ 1 (* (pow y 3) z))) (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))
(+ (sqrt (/ 1 (* (pow y 3) z))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 5))))))))
(+ (sqrt (/ 1 (* (pow y 3) z))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* -1/2 (* (sqrt (/ (pow y 3) (pow z 7))) (+ (* 1/4 (/ (* (pow x 2) z) (pow y 3))) (/ (pow x 3) (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 5)))))))))
(* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 5)))))) (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt (/ z (pow y 3))))) (* 1/2 (* (sqrt (/ (pow y 3) z)) (+ (* -1/4 (/ (* (pow x 2) z) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow y 3)))))) (pow z 3))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))))
(sqrt (/ 1 (* (pow y 3) z)))
(+ (sqrt (/ 1 (* (pow y 3) z))) (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))
(+ (sqrt (/ 1 (* (pow y 3) z))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) (pow z 3))))) (* 3/8 (* x (sqrt (/ 1 (* (pow y 3) (pow z 5)))))))))
(+ (sqrt (/ 1 (* (pow y 3) z))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) (pow z 3))))) (* x (+ (* -5/16 (* x (sqrt (/ 1 (* (pow y 3) (pow z 7)))))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 5))))))))))
(sqrt (/ 1 (* x (pow y 3))))
(+ (sqrt (/ 1 (* x (pow y 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)))
(+ (sqrt (/ 1 (* x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2)))))
(+ (sqrt (/ 1 (* x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* -1/2 (* (sqrt (/ (pow y 3) (pow x 7))) (+ (* 1/4 (/ (* x (pow z 2)) (pow y 3))) (/ (pow z 3) (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))))))
(* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* 1/2 (* (sqrt (/ (pow y 3) x)) (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* y z)
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x y))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(sqrt (/ x y))
(+ (sqrt (/ x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) z)))
(+ (sqrt (/ x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* 1/2 (sqrt (/ 1 (* x y)))))))
(+ (sqrt (/ x y)) (* z (+ (* 1/2 (sqrt (/ 1 (* x y)))) (* z (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) y)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) z)))))))
(sqrt (/ z y))
(* z (+ (sqrt (/ 1 (* y z))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))))
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))))
(* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(sqrt (/ z y))
(+ (sqrt (/ z y)) (* 1/2 (* x (sqrt (/ 1 (* y z))))))
(+ (sqrt (/ z y)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* 1/2 (sqrt (/ 1 (* y z)))))))
(+ (sqrt (/ z y)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* y (pow z 3))))) (* 1/16 (* x (sqrt (/ 1 (* y (pow z 5)))))))))))
(sqrt (/ x y))
(* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))
(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))))
(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))

Outputs
(* 2 (sqrt (* x z)))
(.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(fma.f64 (.f64 (+.f64 z x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 z x) (+.f64 z x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64) (.f64 (+.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64))) y (.f64 (+.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))
(* 2 (sqrt (* y (+ x z))))
(.f64 (sqrt.f64 (.f64 (+.f64 z x) y)) #s(literal 2 binary64))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))) y)
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 z x) #s(literal 5 binary64)) (pow.f64 y #s(literal 7 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))))) y)
(* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 z x) y))) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (*.f64 z x))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (/.f64 (.f64 z z) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (.f64 z x)))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (/.f64 (.f64 z z) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 z x) #s(literal 5 binary64)) (pow.f64 y #s(literal 7 binary64))))) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (*.f64 z x))))))
(* 2 (sqrt (* x y)))
(.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(fma.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
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(fma.f64 (+.f64 y z) x (*.f64 y z))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x (+ y (/ (* x y) z))))
(*.f64 (+.f64 (fma.f64 x (/.f64 y z) y) x) z)
(* z (+ x (+ y (/ (* x y) z))))
(*.f64 (+.f64 (fma.f64 x (/.f64 y z) y) x) z)
(* z (+ x (+ y (/ (* x y) z))))
(*.f64 (+.f64 (fma.f64 x (/.f64 y z) y) x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (neg.f64 z))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (neg.f64 z))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (neg.f64 z))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(+ (sqrt (/ x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) z (sqrt.f64 (/.f64 x y)))
(+ (sqrt (/ x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* 1/2 (sqrt (/ 1 (* x y)))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y))) #s(literal -1/8 binary64)) z (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (sqrt.f64 (/.f64 x y)))
(+ (sqrt (/ x y)) (* z (+ (* 1/2 (sqrt (/ 1 (* x y)))) (* z (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) y)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) z)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y))) #s(literal -1/8 binary64))) z (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (sqrt.f64 (/.f64 x y)))
(sqrt (/ z y))
(sqrt.f64 (/.f64 z y))
(* z (+ (sqrt (/ 1 (* y z))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) z)
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) z)
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) y)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) z)
(* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 z y))))
(* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal -1 binary64))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) y))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) y))) (.f64 (.f64 x x) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) #s(literal -1 binary64))))) (neg.f64 z))
(sqrt (/ z y))
(sqrt.f64 (/.f64 z y))
(+ (sqrt (/ z y)) (* 1/2 (* x (sqrt (/ 1 (* y z))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (sqrt.f64 (/.f64 z y)))
(+ (sqrt (/ z y)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* 1/2 (sqrt (/ 1 (* y z)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))) x (sqrt.f64 (/.f64 z y)))
(+ (sqrt (/ z y)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* y (pow z 3))))) (* 1/16 (* x (sqrt (/ 1 (* y (pow z 5)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y))) #s(literal -1/8 binary64))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))) x (sqrt.f64 (/.f64 z y)))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y))) z) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) x)
(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))))
(.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y))) z) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y))) (.f64 z z)) #s(literal -1/8 binary64))) x)
(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (.f64 z z) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) y)))) (.f64 (.f64 z z) z) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y)))) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) x)
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y)))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y)))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) y)))) (/.f64 (.f64 (.f64 z z) z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) y)))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal -1 binary64))))) (neg.f64 x))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))

rewrite311.0ms (3%)

Memory

6.3MiB live, 273.2MiB allocated

Rules

5 474×	`lower-fma.f32`
5 468×	`lower-fma.f64`
4 274×	`lower-/.f32`
4 266×	`lower-/.f64`
4 124×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	312
0	74	290
1	261	270
2	1703	270
0	8326	267

Stop Event

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

Counts

23 → 846

Calls

Call 1

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

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

eval480.0ms (4.6%)

Memory: 9.3MiB live, 436.3MiB allocated
Compiler: Compiled 63 593 to 5 046 computations (92.1% saved)

prune531.0ms (5.1%)

Memory

-45.0MiB live, 423.8MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 768	10	1 778
Fresh	9	4	13
Picked	3	2	5
Done	0	0	0
Total	1 780	16	1 796

Accuracy

98.7%

Counts

1 796 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.4%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (*.f64 x (-.f64 y z))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))))))
▶	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
▶	56.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
▶	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
	38.4%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (.f64 (.f64 z z) z)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	42.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))) y))
	32.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z)))) #s(literal 2 binary64))) y))
	28.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) x))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal 2 binary64))) x)) y))
▶	42.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y))
	42.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))

Compiler

Compiled 572 to 343 computations (40% saved)

simplify249.0ms (2.4%)

Memory

29.5MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (*.f64 x (-.f64 y z))))
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (*.f64 x (-.f64 y z)))))
cost-diff	0	(/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (*.f64 x (-.f64 y z))))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y))
cost-diff	128	(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))
cost-diff	192	(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
cost-diff	192	(fma.f64 y x (*.f64 x z))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
cost-diff	704	(*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)

Rules

26 480×	`lower-fma.f32`
26 472×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 624×	`lower-*.f64`
2 824×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	527
0	93	500
1	153	486
2	275	480
3	711	480
4	2553	480
5	3618	470
6	6236	470
0	8119	467

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (1.9%)

Memory

-15.1MiB live, 110.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7499917428166807	(fma.f64 z y (*.f64 x (-.f64 y z)))
accuracy	15.440883770954063	(sqrt.f64 (fma.f64 z y (*.f64 x (-.f64 y z))))
accuracy	15.740043060933642	(/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))))
accuracy	20.40084237235143	(sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (*.f64 x (-.f64 y z)))))
accuracy	0.234375	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y)
accuracy	7.919017875029638	(sqrt.f64 (/.f64 (+.f64 z x) y))
accuracy	32.08192991297834	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y))
accuracy	63.3160017441348	#s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64)))
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
accuracy	1.265611238027801	(fma.f64 y x (*.f64 x z))
accuracy	15.444789301993792	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))
accuracy	29.46199483448596	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
accuracy	15.444789301993792	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
accuracy	58.098057942162534	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
accuracy	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))
accuracy	3.7123660943854926	(fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)
accuracy	8.3164723868957	(*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)
accuracy	15.444789301993792	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))

Samples

122.0ms

256×

valid

Compiler

Compiled 418 to 49 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 73.0ms (73.3% of total)

ival-add: 10.0ms (10% of total)

ival-sqrt: 8.0ms (8% of total)

ival-div: 6.0ms (6% of total)

ival-sub: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series146.0ms (1.4%)

Memory

-0.3MiB live, 116.2MiB allocated

Counts

25 → 888

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 z x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 z x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 z x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt (fma.f64 y x (.f64 x z)) (patch (fma.f64 y x (.f64 x z)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (.f64 x z))))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (.f64 x z)))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (.f64 x z))) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) (patch (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64)) (patch (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y)) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y) (patch (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z))))) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (patch (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) (patch (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) (patch #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())
#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* z (+ 1 (/ y x))))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* z (+ 1 (/ y x))))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* z (+ 1 (/ y x))))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* z (+ 1 (/ y x)))) (taylor inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* z (- (* -1 (/ y x)) 1)))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1))))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1))))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1))))) (taylor -inf z) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* x (* y (+ 1 (/ z x))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* x (* y (+ 1 (/ z x))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* x (* y (+ 1 (/ z x))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (/ z x)))) (taylor inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (/ z x)))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* y z))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x (+ y z)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* -1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) (taylor -inf y) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y z)) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* 1/2 (* (* x (- y z)) (sqrt (/ 1 (* y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (- y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (- y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (- y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (- y z) 2))) (* 1/16 (* (* x (pow (- y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x (- y z))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (- y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (- y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z)))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (- y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) (patch (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ y (* -1 x)))) (taylor 0 z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ y (* -1 x)))) (taylor 0 z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ y (* -1 x)))) (taylor 0 z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* -1 x))) (taylor inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (* -1 x) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (* -1 x) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (* -1 x) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* y (+ x z))) (taylor 0 y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* y (+ x z))) (taylor 0 y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* y (+ x z))) (taylor 0 y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (* -1 (/ (* x z) y))))) (taylor inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (* -1 (/ (* x z) y))))) (taylor inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (* -1 (/ (* x z) y))))) (taylor inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ (* y z) x)) z)) (taylor inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ (* y z) x)) z)) (taylor inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ (* y z) x)) z)) (taylor inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (.f64 x (-.f64 y z))) (patch (fma.f64 z y (.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())

Calls

222 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(* (* -1 (sqrt (/ (+ z x) y))) 2)
11.0ms	x	@	inf	(sqrt (+ (* z y) (* x (- y z))))
4.0ms	x	@	inf	(* (* -1 (sqrt (/ (+ z x) y))) 2)
1.0ms	x	@	-inf	(sqrt (* (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z)))))
1.0ms	z	@	-inf	(sqrt (* (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z)))))

simplify343.0ms (3.3%)

Memory

19.8MiB live, 529.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 914×	`lower-+.f64`
6 914×	`lower-+.f32`
6 462×	`lower-*.f64`
6 462×	`lower-*.f32`
6 356×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1911	26250
1	5611	24847
0	9112	23903

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 886

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* x (* z (+ 1 (/ y x)))))
(+ (* x y) (* x (* z (+ 1 (/ y x)))))
(+ (* x y) (* x (* z (+ 1 (/ y x)))))
(* x (* z (+ 1 (/ y x))))
(* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z)))
(* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z)))
(* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z)))
(* -1 (* x (* z (- (* -1 (/ y x)) 1))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1)))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1)))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1)))))
(* y z)
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y z))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(* x z)
(+ (* x z) (* x (* y (+ 1 (/ z x)))))
(+ (* x z) (* x (* y (+ 1 (/ z x)))))
(+ (* x z) (* x (* y (+ 1 (/ z x)))))
(* x (* y (+ 1 (/ z x))))
(* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y)))
(* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y)))
(* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y)))
(* x (* y (+ 1 (/ z x))))
(* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y)))))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
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(* -1 (* (sqrt (* x (- y z))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2)))))))
(* x y)
(+ (* x y) (* z (+ y (* -1 x))))
(+ (* x y) (* z (+ y (* -1 x))))
(+ (* x y) (* z (+ y (* -1 x))))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (/ (* x y) z))))
(* z (+ y (+ (* -1 x) (/ (* x y) z))))
(* z (+ y (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* y (+ x z)))
(+ (* -1 (* x z)) (* y (+ x z)))
(+ (* -1 (* x z)) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (* -1 (/ (* x z) y)))))
(* y (+ x (+ z (* -1 (/ (* x z) y)))))
(* y (+ x (+ z (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y)))))
(* y z)
(+ (* x (- y z)) (* y z))
(+ (* x (- y z)) (* y z))
(+ (* x (- y z)) (* y z))
(* x (- y z))
(* x (- (+ y (/ (* y z) x)) z))
(* x (- (+ y (/ (* y z) x)) z))
(* x (- (+ y (/ (* y z) x)) z))
(* x (- y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x)))))

Outputs
(* x y)
(*.f64 x y)
(+ (* x y) (* x (* z (+ 1 (/ y x)))))
(*.f64 x (fma.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)) y))
(+ (* x y) (* x (* z (+ 1 (/ y x)))))
(*.f64 x (fma.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)) y))
(+ (* x y) (* x (* z (+ 1 (/ y x)))))
(*.f64 x (fma.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)) y))
(* x (* z (+ 1 (/ y x))))
(.f64 x (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z)))
(.f64 z (.f64 x (+.f64 (/.f64 y z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z)))
(.f64 z (.f64 x (+.f64 (/.f64 y z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(* z (+ (* x (+ 1 (/ y x))) (/ (* x y) z)))
(.f64 z (.f64 x (+.f64 (/.f64 y z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(* -1 (* x (* z (- (* -1 (/ y x)) 1))))
(.f64 (.f64 (neg.f64 x) z) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1)))))
(.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) (.f64 x (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1)))))
(.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) (.f64 x (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- (* -1 (/ y x)) 1)))))
(.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) (.f64 x (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
(* y z)
(*.f64 y z)
(+ (* x (+ y z)) (* y z))
(fma.f64 z (+.f64 y x) (*.f64 x y))
(+ (* x (+ y z)) (* y z))
(fma.f64 z (+.f64 y x) (*.f64 x y))
(+ (* x (+ y z)) (* y z))
(fma.f64 z (+.f64 y x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y (+ z (/ (* y z) x))))
(*.f64 x (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(* x (+ y (+ z (/ (* y z) x))))
(*.f64 x (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(* x (+ y (+ z (/ (* y z) x))))
(*.f64 x (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))))
(* x z)
(*.f64 x z)
(+ (* x z) (* x (* y (+ 1 (/ z x)))))
(*.f64 x (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(+ (* x z) (* x (* y (+ 1 (/ z x)))))
(*.f64 x (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(+ (* x z) (* x (* y (+ 1 (/ z x)))))
(*.f64 x (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(* x (* y (+ 1 (/ z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y)))
(.f64 y (.f64 x (+.f64 (/.f64 z y) (+.f64 (/.f64 z x) #s(literal 1 binary64)))))
(* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y)))
(.f64 y (.f64 x (+.f64 (/.f64 z y) (+.f64 (/.f64 z x) #s(literal 1 binary64)))))
(* y (+ (* x (+ 1 (/ z x))) (/ (* x z) y)))
(.f64 y (.f64 x (+.f64 (/.f64 z y) (+.f64 (/.f64 z x) #s(literal 1 binary64)))))
(* x (* y (+ 1 (/ z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y)))))
(.f64 (neg.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 z y) (+.f64 (/.f64 z x) #s(literal 1 binary64))))))
(* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y)))))
(.f64 (neg.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 z y) (+.f64 (/.f64 z x) #s(literal 1 binary64))))))
(* -1 (* y (+ (* -1 (* x (+ 1 (/ z x)))) (* -1 (/ (* x z) y)))))
(.f64 (neg.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 z y) (+.f64 (/.f64 z x) #s(literal 1 binary64))))))
(* 2 (sqrt (* y z)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)) (.f64 (.f64 x (+.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 x (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (+.f64 z y) (+.f64 z y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 z y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (.f64 (+.f64 z y) (+.f64 z y))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 z y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(* 2 (sqrt (* x (+ y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (+.f64 z y)))) (.f64 y z) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z y) x)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y))))) (.f64 (.f64 y y) (.f64 z z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (+.f64 z y)))) (.f64 y z) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z y) x))))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y))))) (.f64 (.f64 y y) (.f64 z z))) (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 z y) #s(literal 5 binary64))))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (+.f64 z y)))) (.f64 y z) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z y) x)))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x (-.f64 (neg.f64 z) y))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (neg.f64 z) y)))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y)))))) (.f64 (.f64 (.f64 y y) (.f64 z z)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (neg.f64 z) y)))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y)))))) (.f64 (.f64 (.f64 y y) (.f64 z z)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (neg.f64 z) y)))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))
(* 2 (sqrt (* x z)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 y (+.f64 z x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) (.f64 y (.f64 (+.f64 z x) (+.f64 z x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 z x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 y (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) (.f64 (+.f64 z x) (+.f64 z x))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 z x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))))
(* 2 (sqrt (* y (+ x z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 z x))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(.f64 y (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))) (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 z x) #s(literal 5 binary64))))) (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 y (-.f64 (neg.f64 x) z))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (-.f64 (neg.f64 x) z)))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
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(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
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(.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* x z))) (/ (* y (+ x z)) (sqrt -1)))) (* (sqrt (* x z)) (sqrt -1)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 y (+.f64 z x))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (/ (* y (pow (+ x z) 2)) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (/ (+ x z) (sqrt -1)))))) (* (sqrt (* x z)) (sqrt -1)))
(fma.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) (/.f64 (+.f64 z x) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) (/.f64 (.f64 y (.f64 (+.f64 z x) (+.f64 z x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (/ (+ x z) (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (/ (pow (+ x z) 2) (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (/ (* y (pow (+ x z) 3)) (pow (sqrt -1) 5)))))))) (* (sqrt (* x z)) (sqrt -1)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (/.f64 (.f64 y (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) (/.f64 (.f64 (+.f64 z x) (+.f64 z x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 z x)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 #s(literal -1 binary64))))
(sqrt (* y (+ x z)))
(sqrt.f64 (*.f64 y (+.f64 z x)))
(* y (+ (sqrt (/ (+ x z) y)) (* -1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 y (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (sqrt.f64 (/.f64 (+.f64 z x) y))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))))))
(.f64 y (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (sqrt.f64 (/.f64 (+.f64 z x) y))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* -1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5))))))))))
(.f64 y (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (+.f64 z x)))) (sqrt.f64 (/.f64 (+.f64 z x) y))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 z x) #s(literal 5 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x)))))))))
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 y (-.f64 (neg.f64 x) z))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* -1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (-.f64 (neg.f64 x) z)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (-.f64 (neg.f64 x) z)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x))))))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* y (+ (* -1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* -1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (-.f64 (neg.f64 x) z)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 z z)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z x)))))) (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 x) z) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) z) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(sqrt (* y z))
(sqrt.f64 (*.f64 y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (- y z)) (sqrt (/ 1 (* y z))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 y z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (sqrt.f64 (.f64 y z)))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (- y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (- y z))))))
(fma.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (-.f64 y z) (-.f64 y z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 y z)))) (sqrt.f64 (.f64 y z)))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (- y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (- y z) 2))) (* 1/16 (* (* x (pow (- y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z))))) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 y z)))) (sqrt.f64 (*.f64 y z)))
(sqrt (* x (- y z)))
(sqrt.f64 (*.f64 x (-.f64 y z)))
(* x (+ (sqrt (/ (- y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z)))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 y z))))) (.f64 y z) (sqrt.f64 (/.f64 (-.f64 y z) x))))
(* x (+ (sqrt (/ (- y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))))))
(.f64 x (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 y z))))) (.f64 y z) (sqrt.f64 (/.f64 (-.f64 y z) x))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z))))) (.f64 (.f64 y y) (.f64 z z))))))
(* x (+ (sqrt (/ (- y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z)))))))
(.f64 x (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z))))) (.f64 (.f64 y y) (.f64 z z))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 y z))))) (.f64 y z) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 y z) #s(literal 5 binary64))))) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 z z) z)))))) (sqrt.f64 (/.f64 (-.f64 y z) x))))
(* -1 (* (sqrt (* x (- y z))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) #s(literal 1 binary64))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 y z)))) (.f64 y z)) (*.f64 (sqrt.f64 (/.f64 (-.f64 y z) x)) #s(literal -1 binary64))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z))))) (.f64 (.f64 y y) (/.f64 (.f64 z z) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 y z)))) (.f64 y z)) (.f64 (sqrt.f64 (/.f64 (-.f64 y z) x)) #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- y z)))) (* y z))) (* (sqrt (/ (- y z) x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z))))) (.f64 (.f64 y y) (/.f64 (.f64 z z) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 y z) #s(literal 5 binary64))))) (.f64 (.f64 (.f64 y y) y) (/.f64 (.f64 (.f64 z z) z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 y z)))) (.f64 y z)) (*.f64 (sqrt.f64 (/.f64 (-.f64 y z) x)) #s(literal -1 binary64))))))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) (*.f64 x y))
(+ (* x y) (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) (*.f64 x y))
(+ (* x y) (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) (*.f64 x y))
(* z (+ y (* -1 x)))
(*.f64 z (-.f64 y x))
(* z (+ y (+ (* -1 x) (/ (* x y) z))))
(*.f64 z (+.f64 (fma.f64 x (/.f64 y z) (neg.f64 x)) y))
(* z (+ y (+ (* -1 x) (/ (* x y) z))))
(*.f64 z (+.f64 (fma.f64 x (/.f64 y z) (neg.f64 x)) y))
(* z (+ y (+ (* -1 x) (/ (* x y) z))))
(*.f64 z (+.f64 (fma.f64 x (/.f64 y z) (neg.f64 x)) y))
(* -1 (* z (+ x (* -1 y))))
(*.f64 (neg.f64 z) (-.f64 x y))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z))))))
(.f64 (neg.f64 z) (-.f64 (-.f64 x y) (/.f64 (.f64 x y) z)))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z))))))
(.f64 (neg.f64 z) (-.f64 (-.f64 x y) (/.f64 (.f64 x y) z)))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (* x y) z))))))
(.f64 (neg.f64 z) (-.f64 (-.f64 x y) (/.f64 (.f64 x y) z)))
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(+ (* -1 (* x z)) (* y (+ x z)))
(fma.f64 (neg.f64 x) z (*.f64 y (+.f64 z x)))
(+ (* -1 (* x z)) (* y (+ x z)))
(fma.f64 (neg.f64 x) z (*.f64 y (+.f64 z x)))
(+ (* -1 (* x z)) (* y (+ x z)))
(fma.f64 (neg.f64 x) z (*.f64 y (+.f64 z x)))
(* y (+ x z))
(*.f64 y (+.f64 z x))
(* y (+ x (+ z (* -1 (/ (* x z) y)))))
(*.f64 y (+.f64 (fma.f64 (neg.f64 x) (/.f64 z y) z) x))
(* y (+ x (+ z (* -1 (/ (* x z) y)))))
(*.f64 y (+.f64 (fma.f64 (neg.f64 x) (/.f64 z y) z) x))
(* y (+ x (+ z (* -1 (/ (* x z) y)))))
(*.f64 y (+.f64 (fma.f64 (neg.f64 x) (/.f64 z y) z) x))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 x) z))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y)))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 x (/.f64 z y) (neg.f64 z)) x))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y)))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 x (/.f64 z y) (neg.f64 z)) x))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (/ (* x z) y)))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 x (/.f64 z y) (neg.f64 z)) x))
(* y z)
(*.f64 y z)
(+ (* x (- y z)) (* y z))
(fma.f64 y z (*.f64 x (-.f64 y z)))
(+ (* x (- y z)) (* y z))
(fma.f64 y z (*.f64 x (-.f64 y z)))
(+ (* x (- y z)) (* y z))
(fma.f64 y z (*.f64 x (-.f64 y z)))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- (+ y (/ (* y z) x)) z))
(*.f64 x (-.f64 (fma.f64 y (/.f64 z x) y) z))
(* x (- (+ y (/ (* y z) x)) z))
(*.f64 x (-.f64 (fma.f64 y (/.f64 z x) y) z))
(* x (- (+ y (/ (* y z) x)) z))
(*.f64 x (-.f64 (fma.f64 y (/.f64 z x) y) z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y (/.f64 z x) (-.f64 y z))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y (/.f64 z x) (-.f64 y z))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y (/.f64 z x) (-.f64 y z))))

rewrite227.0ms (2.2%)

Memory

-28.9MiB live, 300.3MiB allocated

Rules

4 484×	`lower-*.f32`
4 458×	`lower-*.f64`
4 286×	`lower-/.f32`
4 280×	`lower-/.f64`
3 048×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	465
0	93	434
1	325	408
2	2195	376
0	8252	373

Stop Event

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

Counts

25 → 401

Calls

Call 1

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

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

eval275.0ms (2.6%)

Memory: 40.9MiB live, 261.1MiB allocated
Compiler: Compiled 54 235 to 4 004 computations (92.6% saved)

prune341.0ms (3.3%)

Memory

-38.4MiB live, 382.8MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1 342	12	1 354
Fresh	3	6	9
Picked	3	2	5
Done	0	2	2
Total	1 348	22	1 370

Accuracy

98.7%

Counts

1 370 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(approx (sqrt ( (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z))))) (.f64 y z)) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z))))))
	37.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(approx (sqrt ( (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z))))) (.f64 x y)) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))))))
✓	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
▶	55.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x))))
▶	26.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x))))
▶	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	38.4%	#s(approx (* 2 (/ (sqrt (* (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z))))) (sqrt (+ (* z y) (* x (- y z)))))) (.f64 z (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (+.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
▶	42.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))) y))
	32.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 z x) y)))) (.f64 z x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z)))) #s(literal 2 binary64))) y))
	44.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 y (+.f64 x z)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) y))
	44.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (+.f64 x z)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) y))
	47.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (neg.f64 y)))) #s(literal 2 binary64))) y))
▶	44.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y))
	47.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))) #s(literal 2 binary64))) y))
	40.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) y))
	42.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
	42.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y))

Compiler

Compiled 733 to 466 computations (36.4% saved)

simplify227.0ms (2.2%)

Memory

12.7MiB live, 129.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))) y))
cost-diff	320	(fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)))
cost-diff	320	(.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))) y)
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y))
cost-diff	320	(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z)))))
cost-diff	320	(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x))))
cost-diff	128	(*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
cost-diff	0	(.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x))))

Rules

6 390×	`lower-*.f32`
6 360×	`lower-*.f64`
5 890×	`lower-fma.f32`
5 886×	`lower-fma.f64`
1 604×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	678
0	103	646
1	175	625
2	292	619
3	529	619
4	978	615
5	1284	615
6	1908	615
7	2500	615
8	2792	615
9	3351	615
10	3888	615
11	4534	615
12	5174	615
13	5467	615
14	5645	615
15	6964	615
16	7521	615
0	8136	592

Stop Event

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

Calls

Call 1

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

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

localize294.0ms (2.8%)

Memory

22.7MiB live, 257.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)))
accuracy	0.4932165434602925	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))) y))
accuracy	7.416163378543224	(/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))
accuracy	7.879897687481062	(sqrt.f64 (*.f64 (+.f64 x z) y))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))
accuracy	0.4932165434602925	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y))
accuracy	4.103451387094956	(sqrt.f64 (/.f64 y (+.f64 x z)))
accuracy	31.653097061723287	#s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64)))
accuracy	0	#s(approx (+ (* (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
accuracy	0.0703125	(*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))
accuracy	7.8798973397907766	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)))
accuracy	8.3008473868957	(.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
accuracy	0.6832117779602954	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
accuracy	7.8798973397907766	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
accuracy	0.9115853903157358	#s(approx (+ (* (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y))
accuracy	3.7162702051901855	(fma.f64 y (/.f64 z x) y)
accuracy	7.8798973397907766	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))
accuracy	8.3008473868957	(.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)

Samples

91.0ms	128×	0	valid
72.0ms	128×	0	invalid

Compiler

Compiled 431 to 56 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 103.0ms (74.7% of total)

ival-div: 12.0ms (8.7% of total)

ival-sqrt: 11.0ms (8% of total)

ival-add: 10.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series93.0ms (0.9%)

Memory

5.5MiB live, 199.5MiB allocated

Counts

29 → 1 020

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x) (patch (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 z y)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 z y))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 z y)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (patch (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64)) (patch (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) (patch (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y)) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y) (patch (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y))) y) (patch (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y))) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y))) (patch (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y))) y)) (patch #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 x z) (.f64 (sqrt.f64 (*.f64 (+.f64 x z) y)) y))) y)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 z x) y) (patch (fma.f64 y (/.f64 z x) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) (patch #s(approx (+ (* (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x) (patch (.f64 #s(approx (+ (* (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (/ z x) 1) y) z) (.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (patch #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) (patch #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z))))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 y (+.f64 x z))) (patch (sqrt.f64 (/.f64 y (+.f64 x z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 x z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (+.f64 x z) y)) (patch (sqrt.f64 (.f64 (+.f64 x z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (sqrt (* y z))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 y (/.f64 z x) y)) x)))) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1/2 (* (* x (+ (* 1/4 (/ (* (pow x 2) z) (pow y 3))) (/ (pow x 3) (pow y 3)))) (sqrt (/ (pow y 3) (pow z 7))))) (+ (* -1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 3) (pow z 5)))))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))) (taylor inf z) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x (pow (sqrt -1) 2)) (sqrt (/ z (pow y 3)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 3) z))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))) (taylor -inf z) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 3) z))))) (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 3) (pow z 5)))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))))) (taylor -inf z) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 3) z))))) (+ (* -1 (/ (+ (* -1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) z) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow y 3)))) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (pow x 3) (sqrt (/ z (pow y 3)))))) (pow z 3))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))))) (taylor -inf z) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor 0 y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor 0 y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor 0 y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor 0 y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) (patch (/.f64 (.f64 x z) (.f64 (sqrt.f64 (.f64 (+.f64 x z) y)) y)) #<representation binary64>) () ())) ())

Calls

255 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(sqrt (/ y (+ x z)))
1.0ms	y	@	-inf	(* (+ (* (* (sqrt (+ x z)) 2) (/ 1 (sqrt y))) (/ (* x z) (* (sqrt (* (+ x z) y)) y))) y)
1.0ms	y	@	-inf	(* (* -1 (/ 1 (sqrt (/ y (+ x z))))) 2)
1.0ms	x	@	-inf	(* (sqrt (+ x z)) 2)
1.0ms	z	@	-inf	(* (sqrt (+ x z)) 2)

simplify267.0ms (2.6%)

Memory

-2.8MiB live, 430.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 014×	`lower-fma.f64`
8 014×	`lower-fma.f32`
7 402×	`lower-*.f64`
7 402×	`lower-*.f32`
6 406×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1641	26914
1	5649	25769
0	8570	24718

Stop Event

1×	iter limit
1×	node limit

Counts

1 020 → 1 010

Calls

Call 1

Inputs
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(sqrt (* x z))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(sqrt (* y (+ x z)))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(* y z)
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* x z)
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* x y)
(+ (* x y) (* z (+ x y)))
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(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))))
(* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
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(+ (sqrt (* y z)) (* x (+ (* -1/8 (* x (sqrt (/ y (pow z 3))))) (* 1/2 (sqrt (/ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* 1/16 (* x (sqrt (/ y (pow z 5))))))))))
(sqrt (* x y))
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(* x (+ (sqrt (/ y x)) (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (pow z 2))) (* 1/2 (* (sqrt (/ y (pow x 3))) z)))))
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(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* x (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))))
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(* x (+ (sqrt (/ z (pow y 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) z)))) (* 3/8 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))
(* x (+ (sqrt (/ z (pow y 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) z)))) (* x (+ (* -5/16 (* x (sqrt (/ 1 (* (pow y 3) (pow z 5)))))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))))))
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Outputs
(* 2 (sqrt (* y z)))
(.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 (+.f64 z y) x) (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (+.f64 z y) (+.f64 z y)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y))) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (.f64 (+.f64 z y) (+.f64 z y))) #s(literal -1/4 binary64))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)))
(* 2 (sqrt (* x (+ y z))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) x)) #s(literal 2 binary64))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
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(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
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(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) z)))) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (.f64 y y) y))))))) (neg.f64 z))
(* -1 (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 3) z))))) (+ (* -1 (/ (+ (* -1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) z) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow y 3)))) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (pow x 3) (sqrt (/ z (pow y 3)))))) (pow z 3))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) z)))) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 y y) y) z)) (.f64 (fma.f64 (.f64 (.f64 x x) (/.f64 z (.f64 (.f64 y y) y))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) x)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 (/.f64 z (.f64 (.f64 y y) y))))) (neg.f64 (.f64 (*.f64 z z) z))))) (neg.f64 z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 y y) y)))) (*.f64 x z))

rewrite204.0ms (1.9%)

Memory

5.7MiB live, 366.6MiB allocated

Rules

6 646×	`lower-*.f32`
6 616×	`lower-*.f64`
3 742×	`lower-/.f32`
3 730×	`lower-/.f64`
2 952×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	607
0	103	572
1	361	536
2	2667	536
0	9798	513

Stop Event

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

Counts

29 → 363

Calls

Call 1

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

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

eval307.0ms (2.9%)

Memory: 2.2MiB live, 427.7MiB allocated
Compiler: Compiled 43 038 to 3 323 computations (92.3% saved)

prune335.0ms (3.2%)

Memory

-17.6MiB live, 599.3MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 363	10	1 373
Fresh	8	5	13
Picked	4	1	5
Done	0	4	4
Total	1 375	20	1 395

Accuracy

98.7%

Counts

1 395 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 (/.f64 y x) z z)) x))) #s(literal 2 binary64))
	37.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(approx (sqrt ( (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z))))) (.f64 y z)) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z))))))
	37.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(approx (sqrt ( (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z))))) (.f64 x y)) (sqrt.f64 (fma.f64 z y (.f64 x (-.f64 y z))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))))))
✓	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
✓	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	38.4%	#s(approx (* 2 (/ (sqrt (* (+ (* (+ x y) z) (* x y)) (+ (* z y) (* x (- y z))))) (sqrt (+ (* z y) (* x (- y z)))))) (.f64 z (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (+.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
	42.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (* (sqrt (+ x z)) 2) (/ 1 (sqrt y))) (/ (* x z) (* (sqrt (* (+ x z) y)) y))) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
	44.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) y))
	42.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) y))
	44.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (+.f64 z x)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) y))
	47.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y)))) #s(literal 2 binary64))) y))
	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ y (+ x z))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1 binary64))))) #s(literal 2 binary64))) y))
	47.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))) (sqrt.f64 (neg.f64 (+.f64 z x))))) #s(literal 2 binary64))) y))
	40.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) y))
	42.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (/ 1 (sqrt (/ y (+ x z))))) 2) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y))

Compiler

Compiled 1 200 to 484 computations (59.7% saved)

regimes102.0ms (1%)

Memory

6.3MiB live, 242.4MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))

Calls

6 calls:

20.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
17.0ms	z
16.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
16.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
15.0ms	y

Results

Accuracy	Segments	Branch
87.1%	3	`x`
96.0%	3	`y`
89.5%	3	`z`
88.0%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
88.0%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
88.0%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes12.0ms (0.1%)

Memory

-13.7MiB live, 30.1MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y))

(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
95.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

-19.8MiB live, 59.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y))

(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))

Calls

6 calls:

5.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	x
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	y

Results

Accuracy	Segments	Branch
80.3%	2	`x`
85.9%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
85.9%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
85.9%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
77.4%	2	`z`
84.4%	2	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes49.0ms (0.5%)

Memory

-4.2MiB live, 34.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))

Calls

6 calls:

33.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
3.0ms	x
3.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
75.6%	1	`z`
75.6%	1	`x`
75.6%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
75.6%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
75.6%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
75.6%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes20.0ms (0.2%)

Memory

-3.7MiB live, 36.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))

Outputs

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))

Calls

6 calls:

6.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
3.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
3.0ms	x
3.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
71.1%	2	`x`
75.9%	2	`y`
72.0%	2	`z`
51.6%	5	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
51.6%	5	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
51.6%	5	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))

Outputs

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))))

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.5%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))))

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))))

(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.5%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-13.5MiB live, 25.0MiB allocated

Accuracy

Total -22.8b remaining (-57.7%)

Threshold costs -22.8b (-57.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))

Calls

6 calls:

3.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
2.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

Results

Accuracy	Segments	Branch
38.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
38.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
38.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
38.2%	1	`x`
38.2%	1	`z`
38.2%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch93.0ms (0.9%)

Memory

30.0MiB live, 147.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	4.0388914421650344e+88	2.6597660762932e+96
50.0ms	-6.4375924436022355e-273	1.7017317748056808e-302

Samples

37.0ms	460×	0	invalid
24.0ms	336×	0	valid

Compiler

Compiled 737 to 512 computations (30.5% saved)

Precisions

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

ival-mult: 18.0ms (58.2% of total)

ival-add: 6.0ms (19.4% of total)

ival-sqrt: 5.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.0388914421650344e+88	2.6597660762932e+96
1.0ms	-6.4375924436022355e-273	1.7017317748056808e-302

Compiler

Compiled 713 to 488 computations (31.6% saved)

bsearch30.0ms (0.3%)

Memory

-11.9MiB live, 26.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.0388914421650344e+88	2.6597660762932e+96
27.0ms	-3.992396068600106e+46	-1.8399032489206183e+46

Samples

17.0ms	80×	0	valid
5.0ms	86×	0	invalid

Compiler

Compiled 431 to 283 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.8% of total)

ival-add: 1.0ms (15.7% of total)

ival-sqrt: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.992396068600106e+46	-1.8399032489206183e+46

Compiler

Compiled 170 to 112 computations (34.1% saved)

bsearch64.0ms (0.6%)

Memory

-8.7MiB live, 66.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	-1.3092872476297788e-244	-5.372841852945023e-251

Samples

41.0ms	201×	0	invalid
9.0ms	144×	0	valid

Compiler

Compiled 254 to 179 computations (29.5% saved)

Precisions

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

ival-mult: 11.0ms (64.8% of total)

ival-add: 3.0ms (17.7% of total)

ival-sqrt: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.5%)

Memory

-10.4MiB live, 73.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	-4.0544127742693996e-238	-1.3092872476297788e-244

Samples

16.0ms	244×	0	invalid
10.0ms	144×	0	valid

Compiler

Compiled 236 to 170 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (58.5% of total)

ival-add: 3.0ms (19.5% of total)

ival-sqrt: 3.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.4%)

Memory

8.2MiB live, 85.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-4.0544127742693996e-238	-1.3092872476297788e-244

Samples

13.0ms	191×	0	invalid
8.0ms	128×	0	valid

Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (60.5% of total)

ival-add: 3.0ms (22.7% of total)

ival-sqrt: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify41.0ms (0.4%)

Memory

-10.9MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	606
1	141	606
2	174	606
3	206	605
4	227	605
5	234	605
6	235	605

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -7796251209119999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))) #s(literal 2 binary64))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -7796251209119999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (neg.f64 y)))) #s(literal 2 binary64))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(if (<=.f64 y #s(literal -221681207370465/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -5425353958315897/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -4059104138863495/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))

Outputs
(if (<=.f64 y #s(literal -7796251209119999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))) #s(literal 2 binary64))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -7796251209119999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (neg.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 (+.f64 z x)))))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -7796251209119999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (neg.f64 y)))) #s(literal 2 binary64))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -7796251209119999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y))))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y)) (if (<=.f64 y #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* y y) (* (+ z x) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* -1 (sqrt (/ (+ z x) y))) 2) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y)) (.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal -221681207370465/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -221681207370465/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -5425353958315897/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -5425353958315897/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -4059104138863495/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal -4059104138863495/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64))

soundness936.0ms (9%)

Memory

35.5MiB live, 866.1MiB allocated

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
8 534×	`lower-fma.f64`
8 534×	`lower-fma.f32`
7 876×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6236	3318
0	8104	3177
0	1628	23262
1	5646	22565
0	9110	21717
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33
0	60	465
0	93	434
1	325	408
2	2195	376
0	8252	373
0	1911	26250
1	5611	24847
0	9112	23903

Stop Event

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

Compiler

Compiled 584 to 283 computations (51.5% saved)

preprocess107.0ms (1%)

Memory: 7.9MiB live, 239.1MiB allocated
Compiler: Compiled 940 to 378 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze232.0ms (2.2%)

sample2.0s (19.4%)

explain188.0ms (1.8%)

preprocess62.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize32.0ms (0.3%)

series27.0ms (0.3%)

simplify177.0ms (1.7%)

rewrite300.0ms (2.9%)

eval54.0ms (0.5%)

prune361.0ms (3.4%)

simplify19.0ms (0.2%)

localize128.0ms (1.2%)

series122.0ms (1.2%)

simplify288.0ms (2.8%)

rewrite311.0ms (3%)

eval480.0ms (4.6%)

prune531.0ms (5.1%)

simplify249.0ms (2.4%)

localize200.0ms (1.9%)

series146.0ms (1.4%)

simplify343.0ms (3.3%)

rewrite227.0ms (2.2%)

eval275.0ms (2.6%)

prune341.0ms (3.3%)

simplify227.0ms (2.2%)

localize294.0ms (2.8%)

series93.0ms (0.9%)

simplify267.0ms (2.6%)

rewrite204.0ms (1.9%)

eval307.0ms (2.9%)

prune335.0ms (3.2%)

regimes102.0ms (1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes24.0ms (0.2%)

regimes49.0ms (0.5%)

regimes20.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes12.0ms (0.1%)

bsearch93.0ms (0.9%)

bsearch2.0ms (0%)

bsearch30.0ms (0.3%)

bsearch1.0ms (0%)

bsearch64.0ms (0.6%)

bsearch53.0ms (0.5%)

bsearch46.0ms (0.4%)

simplify41.0ms (0.4%)

soundness936.0ms (9%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling