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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze296.0ms (3.2%)

Memory

47.2MiB live, 382.7MiB 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)

sample1.6s (16.6%)

Memory

12.9MiB live, 2 406.7MiB allocated

Samples

663.0ms	8 256×	0	valid
440.0ms	4 469×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 715.0ms

ival-mult: 400.0ms (56% of total)

ival-add: 169.0ms (23.6% of total)

ival-sqrt: 124.0ms (17.4% of total)

ival-true: 10.0ms (1.4% of total)

exact: 8.0ms (1.1% of total)

ival-assert: 5.0ms (0.7% of total)

Bogosity

explain124.0ms (1.3%)

Memory

1.4MiB live, 208.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
82	-	-	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
9	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
8	-	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	-	`z`
0	-	-	`(*.f64 x z)`
0	-	-	`(*.f64 x y)`
0	-	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 y z)`
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	73	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	73
↳	`(*.f64 y z)`	overflow	36
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	55
↳	`(*.f64 x z)`	overflow	32
↳	`(*.f64 x y)`	overflow	38
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	9	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	55
↳	`(*.f64 x z)`	overflow	32
↳	`(*.f64 x y)`	overflow	38
↳	`(*.f64 y z)`	overflow	36
`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	33
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	13
↳	`(*.f64 x z)`	underflow	28
↳	`(*.f64 x y)`	underflow	28
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	8	0
↳	`(*.f64 x y)`	overflow	38
↳	`(*.f64 x z)`	overflow	32

Confusion

	Predicted +	Predicted -
+	82	0
-	0	174

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	0	0	174

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	174
1	71
2	5
3	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions

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

ival-mult: 13.0ms (60.1% of total)

ival-add: 4.0ms (18.5% of total)

ival-sqrt: 4.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (0.8%)

Memory

0.0MiB live, 37.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.4%	(.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)

simplify20.0ms (0.2%)

Memory

-30.8MiB live, 7.0MiB 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)

localize33.0ms (0.4%)

Memory

-1.1MiB live, 36.3MiB 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	0.6171875000000001	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.9921875000000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	19.38713127433418	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

19.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.5% of total)

ival-add: 2.0ms (19.2% of total)

ival-sqrt: 2.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

30.3MiB live, 30.3MiB 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) (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 y) (taylor 0 z) (#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 (+ x y))) (taylor 0 z) (#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 (+ x y))) (taylor 0 z) (#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 (+ x y))) (taylor 0 z) (#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 (* 2 (sqrt (* x y))) (taylor 0 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 (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 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 (+ (* 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 (+.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 (+ (* 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 (+.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 (* 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 (* 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 (* z (+ x y)) (taylor inf z) (#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 (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#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 (* 2 (sqrt (* z (+ x 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 (* 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 (+.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 (* 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 (+.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 (* 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 (+.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 (* 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 (* 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 (* 2 (sqrt (* y z))) (taylor 0 x) (#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>) () ())) ())
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#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>) () ())) ())
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#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 (+.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 (* 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 (+.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 (* 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 (* 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 (* -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>) () ())) ())
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#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 (+.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 (* 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 (+.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 (* 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))))))))) (taylor -inf x) (#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>) () ())) ())
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#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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	y	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	z	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
2.0ms	y	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
2.0ms	z	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))

simplify214.0ms (2.3%)

Memory

-10.1MiB live, 143.7MiB 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	8106	3177

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* 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)))))
(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)))))))))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* 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)))))))))
(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)))))))))
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Outputs
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rewrite302.0ms (3.2%)

Memory

1.0MiB live, 237.6MiB 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
(.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (+.f64 z y))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))) (-.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 x x) z) (-.f64 z y))))) (-.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 (*.f64 x x) z) (-.f64 z y))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (.f64 z x)) (.f64 x (-.f64 z y))) (.f64 (.f64 (.f64 x x) z) (-.f64 z y))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 y y) x)) x (.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (-.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (.f64 (.f64 (.f64 y y) x) x)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z))) (.f64 (+.f64 z y) x))
(.f64 (/.f64 (.f64 (+.f64 z y) x) x) (/.f64 (*.f64 (-.f64 y z) x) (-.f64 y z)))
(.f64 (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) x)) (.f64 (.f64 (+.f64 z y) (*.f64 x x)) (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x))
(.f64 (.f64 (.f64 (neg.f64 x) (+.f64 z y)) (.f64 (-.f64 y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 y z))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))))))
(*.f64 (+.f64 z y) x)
(.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x)))
(.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))) (/.f64 (.f64 (+.f64 z y) x) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y)))))
(.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))) (.f64 (.f64 (+.f64 z y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (*.f64 x x) z) (-.f64 z y))))))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y)))))
(.f64 (.f64 (+.f64 z y) x) (/.f64 (.f64 (-.f64 y z) x) (.f64 (-.f64 y z) x)))
(.f64 (.f64 (+.f64 z y) x) (.f64 (.f64 (-.f64 y z) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x))))
(*.f64 x (+.f64 z y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) x))) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 y y) x)) x (.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (.f64 x x) (fma.f64 y y (*.f64 z z))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 z z) z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z))) (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))))) (fma.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (-.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (*.f64 x x) y)))))
(/.f64 (.f64 x (.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z))
(/.f64 (.f64 x (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x))) (.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x)))) (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x)) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (*.f64 x x)) (-.f64 y z)) x) (-.f64 y z))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 z y)))) (neg.f64 (.f64 x (-.f64 z y))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) (+.f64 z y)) (.f64 (-.f64 y z) x))) (neg.f64 (.f64 (neg.f64 x) (-.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (*.f64 x x) z) (-.f64 z y))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z))) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 y y) x)) x (.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))))) (.f64 (-.f64 y z) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z))) (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (-.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)))) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y)))))
(/.f64 (.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) #s(literal 1 binary64)) (*.f64 (-.f64 y z) x))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (*.f64 (-.f64 y z) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (.f64 (.f64 (-.f64 y z) x) (.f64 (.f64 (.f64 z z) x) x))) (.f64 (.f64 (-.f64 y z) x) (*.f64 (-.f64 y z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))
(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z))) (.f64 (.f64 (-.f64 y z) x) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z)))))
(/.f64 (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 z y))) (.f64 x (-.f64 z y)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 z z) z)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (.f64 (.f64 (-.f64 y z) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 y y) x)) x (.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (.f64 x x) (fma.f64 y y (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 z y)) (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z))) (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)))) (.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (-.f64 z y))) (fma.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (-.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (*.f64 x x) y))))))
(/.f64 (.f64 (.f64 (neg.f64 x) (+.f64 z y)) (.f64 (-.f64 y z) x)) (.f64 (neg.f64 x) (-.f64 y z)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (*.f64 x x) z) (-.f64 z y)))))
(/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (-.f64 y z) x))
(/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (*.f64 x x) z) (-.f64 z y))))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 z y)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (.f64 x x) z) (+.f64 z y))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z))) (.f64 (+.f64 z y) x) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) y) x) (/.f64 y (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 y x) (/.f64 (.f64 (.f64 x x) y) (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 (.f64 y y) x) (-.f64 y z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(fma.f64 z x (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 y x (*.f64 z x))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (*.f64 (-.f64 y z) x))))
(fma.f64 x z (*.f64 y x))
(fma.f64 x y (*.f64 z x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 x (-.f64 z y))) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x (-.f64 z y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) x) x) (.f64 (-.f64 y z) x))))
(+.f64 (.f64 z x) (.f64 y x))
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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)))

eval66.0ms (0.7%)

Memory: 14.6MiB live, 86.1MiB allocated
Compiler: Compiled 14 008 to 1 559 computations (88.9% saved)

prune110.0ms (1.2%)

Memory

22.9MiB live, 136.6MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	352	20	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	353	20	373

Accuracy

84.2%

Counts

373 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
	24.2%	(.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)))))
▶	69.2%	(.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))))))
	40.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) (fma.f64 z (-.f64 x y) (*.f64 y x)))))
	69.6%	(.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))))))
	31.0%	(.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))))
	43.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	48.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (-.f64 y z) x)) (.f64 y z))))
	51.7%	(.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))))
	59.6%	(.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))))
▶	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	40.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	38.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	3.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	31.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
▶	38.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.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))))
	3.6%	#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))))
	31.6%	#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))))
	39.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 z x) y) (.f64 y y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	45.7%	#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))

Compiler

Compiled 824 to 476 computations (42.2% saved)

simplify25.0ms (0.3%)

Memory

-24.1MiB live, 12.8MiB 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 z y)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y))
cost-diff	0	(fma.f64 (.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)))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.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))))
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 y x)
cost-diff	0	(fma.f64 (+.f64 y x) z (*.f64 y x))
cost-diff	0	(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))

Rules

152×	`lower-fma.f32`
148×	`lower-fma.f64`
96×	`lower-*.f32`
78×	`lower-*.f64`
64×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	321
0	61	305
1	102	298
2	142	298
3	199	298
4	202	298
0	202	298

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (1.5%)

Memory

4.2MiB live, 150.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4701338040005853	(/.f64 #s(literal 1 binary64) (*.f64 z y))
accuracy	12.681822291137122	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.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))))
accuracy	14.920209519398991	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
accuracy	15.388123044870198	(sqrt.f64 (*.f64 z y))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.6324500313422032	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	1.0117077404222408	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	14.43770463494427	(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	0.015625	(*.f64 (+.f64 z y) x)
accuracy	15.142752798421274	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	32.31667252636681	#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	15.142752798421274	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	34.36922547837831	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
accuracy	0	(*.f64 y x)
accuracy	1.0117077404222408	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	15.142752798421274	(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))

Samples

94.0ms	195×	0	valid
26.0ms	61×	0	invalid

Compiler

Compiled 283 to 34 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 30.0ms (58.8% of total)

ival-sqrt: 9.0ms (17.6% of total)

ival-add: 7.0ms (13.7% of total)

ival-div: 5.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series155.0ms (1.7%)

Memory

-9.7MiB live, 150.7MiB allocated

Counts

22 → 720

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (sqrt (* z y)) (/ 1 (* z y)))
23.0ms	z	@	0	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (sqrt (* z y)) (/ 1 (* z y)))
22.0ms	y	@	inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (sqrt (* z y)) (/ 1 (* z y)))
8.0ms	x	@	inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (sqrt (* z y)) (/ 1 (* z y)))
7.0ms	z	@	-inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (sqrt (* z y)) (/ 1 (* z y)))

simplify340.0ms (3.6%)

Memory

16.5MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 414×	`lower-*.f64`
8 414×	`lower-*.f32`
7 172×	`lower-fma.f64`
7 172×	`lower-fma.f32`
5 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1126	19430
1	3897	18822
0	8753	18162

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 714

Calls

Call 1

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

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

rewrite267.0ms (2.9%)

Memory

-38.9MiB live, 178.3MiB allocated

Rules

7 108×	`lower-fma.f32`
7 104×	`lower-fma.f64`
4 106×	`lower-*.f32`
4 088×	`lower-*.f64`
3 890×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	268
0	61	246
1	214	231
2	1371	231
0	8194	231

Stop Event

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

Counts

22 → 741

Calls

Call 1

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

Outputs
(.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y))))
(.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (.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 z (+.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
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(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
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(/.f64 (/.f64 #s(literal 1 binary64) y) z)
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 z y))) #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))
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eval417.0ms (4.5%)

Memory: 27.7MiB live, 396.3MiB allocated
Compiler: Compiled 58 104 to 4 772 computations (91.8% saved)

prune327.0ms (3.5%)

Memory

16.9MiB live, 548.2MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 753	22	1 775
Fresh	11	4	15
Picked	3	2	5
Done	0	0	0
Total	1 767	28	1 795

Accuracy

86.7%

Counts

1 795 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) (fma.f64 z (+.f64 x y) (.f64 (neg.f64 x) y)))) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 (neg.f64 x) y)))) #s(literal 2 binary64))
▶	45.9%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 x y))) #s(literal 2 binary64))
	51.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 (fma.f64 y (/.f64 z x) z) y) x))) #s(literal 2 binary64))
	40.4%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
	38.5%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
▶	3.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	38.0%	(.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 z y))))))
	24.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 (.f64 z y) (.f64 (*.f64 (+.f64 z y) (+.f64 z y)) x))) x)))))
	40.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) (fma.f64 z (-.f64 x y) (*.f64 y x)))))
	48.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (-.f64 y z) x)) (.f64 y z))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
	17.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z)))))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))))
✓	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	31.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
▶	32.8%	(.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 z y) x) y)))))
	22.9%	(.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)))))
	45.7%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (+.f64 y x)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	37.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 y)) (+.f64 z y)) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
▶	53.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))))
	3.6%	#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))))
	31.6%	#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))))
▶	47.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (*.f64 z y)))))
	32.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
	47.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)))
	48.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x)))

Compiler

Compiled 1 076 to 629 computations (41.5% saved)

simplify208.0ms (2.2%)

Memory

-27.7MiB live, 166.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 z))
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (*.f64 z y))))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (*.f64 z y)))))
cost-diff	0	(.f64 (.f64 (+.f64 x y) (-.f64 y x)) z)
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 x y)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 x y))) #s(literal 2 binary64))
cost-diff	1728	(fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 x y))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 z y) x) y)))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 z y) x) y))))
cost-diff	0	(.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 z y) x) y)))))
cost-diff	896	(*.f64 (fma.f64 x (/.f64 z y) x) y)
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))))

Rules

13 800×	`lower-fma.f32`
13 792×	`lower-fma.f64`
2 784×	`lower-*.f32`
2 756×	`lower-*.f64`
2 508×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	446
0	91	439
1	154	436
2	259	436
3	594	412
4	1549	394
5	3370	394
0	8439	383

Stop Event

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

Calls

Call 1

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

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

localize225.0ms (2.4%)

Memory

27.4MiB live, 192.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.209316259768442	(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (*.f64 z y))))
accuracy	1.0633692713683365	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (*.f64 z y)))))
accuracy	5.165872590417449	(/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (.f64 z y)))
accuracy	11.59577471025552	(sqrt.f64 (*.f64 z y))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	2.636363456496622	(.f64 (.f64 (+.f64 x y) (-.f64 y x)) z)
accuracy	5.1819151913180015	(fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 x y))
accuracy	11.595774582575139	(sqrt.f64 (fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 x y)))
accuracy	0.12890625	(*.f64 (fma.f64 x (/.f64 z y) x) y)
accuracy	4.151113328005608	(fma.f64 x (/.f64 z y) x)
accuracy	11.595774582575139	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 z y) x) y))))
accuracy	32.31667252636681	#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 z y) x) y)))
accuracy	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
accuracy	0	(*.f64 z x)
accuracy	11.595774582575139	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
accuracy	32.31667242649353	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
accuracy	0.197597509768442	(*.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	0.4271650540005853	(/.f64 #s(literal 1 binary64) (*.f64 z y))
accuracy	1.0633692713683365	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))))
accuracy	11.11978508983398	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))

Samples

86.0ms	146×	0	valid
45.0ms	110×	0	invalid

Compiler

Compiled 351 to 51 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 37.0ms (48.8% of total)

ival-add: 21.0ms (27.7% of total)

ival-sqrt: 11.0ms (14.5% of total)

ival-div: 6.0ms (7.9% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series150.0ms (1.6%)

Memory

-1.2MiB live, 112.6MiB allocated

Counts

26 → 804

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	z	@	inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* (+ (* x (/ z y)) x) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y)) (* (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) 2) (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) (* (* (+ x y) (- y x)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* 2 (sqrt z)) (sqrt y)) (/ (* (+ z y) x) (sqrt (* z y)))) (* 2 (sqrt z)) (sqrt z) (/ 1 (* z y)) (* (sqrt z) (sqrt y)) (+ (* x (/ z y)) x) (/ 1 (- y x)) (sqrt (* z y)) (/ (* (+ z y) x) (sqrt (* z y))))
37.0ms	x	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* (+ (* x (/ z y)) x) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y)) (* (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) 2) (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) (* (* (+ x y) (- y x)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* 2 (sqrt z)) (sqrt y)) (/ (* (+ z y) x) (sqrt (* z y)))) (* 2 (sqrt z)) (sqrt z) (/ 1 (* z y)) (* (sqrt z) (sqrt y)) (+ (* x (/ z y)) x) (/ 1 (- y x)) (sqrt (* z y)) (/ (* (+ z y) x) (sqrt (* z y))))
5.0ms	z	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* (+ (* x (/ z y)) x) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y)) (* (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) 2) (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) (* (* (+ x y) (- y x)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* 2 (sqrt z)) (sqrt y)) (/ (* (+ z y) x) (sqrt (* z y)))) (* 2 (sqrt z)) (sqrt z) (/ 1 (* z y)) (* (sqrt z) (sqrt y)) (+ (* x (/ z y)) x) (/ 1 (- y x)) (sqrt (* z y)) (/ (* (+ z y) x) (sqrt (* z y))))
5.0ms	y	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* (+ (* x (/ z y)) x) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y)) (* (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) 2) (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) (* (* (+ x y) (- y x)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* 2 (sqrt z)) (sqrt y)) (/ (* (+ z y) x) (sqrt (* z y)))) (* 2 (sqrt z)) (sqrt z) (/ 1 (* z y)) (* (sqrt z) (sqrt y)) (+ (* x (/ z y)) x) (/ 1 (- y x)) (sqrt (* z y)) (/ (* (+ z y) x) (sqrt (* z y))))
3.0ms	z	@	0	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt (/ 1 (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* (+ (* x (/ z y)) x) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y)) (* (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) 2) (sqrt (+ (* (* (* (+ x y) (- y x)) z) (/ 1 (- y x))) (* x y))) (* (* (+ x y) (- y x)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* 2 (sqrt z)) (sqrt y)) (/ (* (+ z y) x) (sqrt (* z y)))) (* 2 (sqrt z)) (sqrt z) (/ 1 (* z y)) (* (sqrt z) (sqrt y)) (+ (* x (/ z y)) x) (/ 1 (- y x)) (sqrt (* z y)) (/ (* (+ z y) x) (sqrt (* z y))))

simplify354.0ms (3.8%)

Memory

15.7MiB live, 326.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 902×	`lower-fma.f64`
10 902×	`lower-fma.f32`
7 004×	`lower-*.f64`
7 004×	`lower-*.f32`
5 454×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	850	17088
1	2860	16405
2	7354	16401
0	8515	15764

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 801

Calls

Call 1

Inputs
(* 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)))))
(* x (sqrt (/ y z)))
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(sqrt (/ y z))
(/ (+ (sqrt (* y z)) (sqrt (/ (pow z 3) y))) z)
(/ (+ (sqrt (* y z)) (sqrt (/ (pow z 3) y))) z)
(/ (+ (sqrt (* y z)) (sqrt (/ (pow z 3) y))) z)
(sqrt (/ 1 (* y z)))
(sqrt (/ 1 (* y z)))
(sqrt (/ 1 (* y z)))
(sqrt (/ 1 (* y 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)))))
(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)))))))))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* 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)))))
(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)))))))))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* 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)))))
(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)))))))))
(* z (* (+ x y) (- y x)))
(* z (* (+ x y) (- y x)))
(* z (* (+ x y) (- y x)))
(* z (* (+ x y) (- y x)))
(* 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)))))
(* x (sqrt (/ y z)))
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(* 2 (sqrt z))
(* 2 (sqrt z))
(* 2 (sqrt z))
(* 2 (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(sqrt (* y z))
(sqrt (* y z))
(sqrt (* y z))
(sqrt (* y z))
x
(+ x (/ (* x z) y))
(+ x (/ (* x z) y))
(+ x (/ (* x z) y))
(sqrt (* y z))
(sqrt (* y z))
(sqrt (* y z))
(sqrt (* y z))
(* x (sqrt (/ y z)))
(/ (+ (* x (sqrt (* y z))) (* x (sqrt (/ (pow z 3) y)))) z)
(/ (+ (* x (sqrt (* y z))) (* x (sqrt (/ (pow z 3) y)))) z)
(/ (+ (* x (sqrt (* y z))) (* x (sqrt (/ (pow z 3) y)))) z)
(* 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)))))))))
(* z (+ (* 2 (sqrt (/ y z))) (* x (sqrt (/ 1 (* y z))))))
(* z (+ (* 2 (sqrt (/ y z))) (+ (* x (sqrt (/ 1 (* y z)))) (* x (sqrt (/ y (pow z 3)))))))
(* z (+ (* 2 (sqrt (/ y z))) (+ (* x (sqrt (/ 1 (* y z)))) (* x (sqrt (/ y (pow z 3)))))))
(* z (+ (* 2 (sqrt (/ y z))) (+ (* x (sqrt (/ 1 (* y z)))) (* x (sqrt (/ y (pow z 3)))))))
(sqrt (/ z y))
(* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))
(* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))
(* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))
(sqrt (/ 1 (* y z)))
(sqrt (/ 1 (* y z)))
(sqrt (/ 1 (* y z)))
(sqrt (/ 1 (* y z)))
(* 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)))))))))
(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))))))))))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* 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)))))))))
(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))))))))))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* 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 (* x (- (* -1 (/ z y)) 1)))
(* -1 (* x (- (* -1 (/ z y)) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))

Outputs
(* 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)))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64))) z (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(* x (sqrt (/ y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) x)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z y)) x)) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z y)) x)) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z y)) x)) z)
(sqrt (/ y z))
(sqrt.f64 (/.f64 y z))
(/ (+ (sqrt (* y z)) (sqrt (/ (pow z 3) y))) z)
(/.f64 (+.f64 (sqrt.f64 (.f64 (.f64 z z) (/.f64 z y))) (sqrt.f64 (*.f64 z y))) z)
(/ (+ (sqrt (* y z)) (sqrt (/ (pow z 3) y))) z)
(/.f64 (+.f64 (sqrt.f64 (.f64 (.f64 z z) (/.f64 z y))) (sqrt.f64 (*.f64 z y))) z)
(/ (+ (sqrt (* y z)) (sqrt (/ (pow z 3) y))) z)
(/.f64 (+.f64 (sqrt.f64 (.f64 (.f64 z z) (/.f64 z y))) (sqrt.f64 (*.f64 z y))) z)
(sqrt (/ 1 (* y z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(sqrt (/ 1 (* y z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(sqrt (/ 1 (* y z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(sqrt (/ 1 (* y z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(* 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)))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64))) z (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) (+.f64 y x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) 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 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))))) z (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))))) z (sqrt.f64 (*.f64 y x)))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x y)
(*.f64 y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) 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)))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64))) z (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) (+.f64 y x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) 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 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))))) z (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))))) z (sqrt.f64 (*.f64 y x)))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(* 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)))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64))) z (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) (+.f64 y x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) 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 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))))) z (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))))) z (sqrt.f64 (*.f64 y x)))
(* z (* (+ x y) (- y x)))
(.f64 (.f64 (+.f64 y x) z) (-.f64 y x))
(* z (* (+ x y) (- y x)))
(.f64 (.f64 (+.f64 y x) z) (-.f64 y x))
(* z (* (+ x y) (- y x)))
(.f64 (.f64 (+.f64 y x) z) (-.f64 y x))
(* z (* (+ x y) (- y x)))
(.f64 (.f64 (+.f64 y x) z) (-.f64 y 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)))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1/4 binary64))) z (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(* x (sqrt (/ y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) x)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z y)) x)) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z y)) x)) z)
(/ (+ (* x (sqrt (* y z))) (* z (+ (* 2 (sqrt (* y z))) (* x (sqrt (/ z y)))))) z)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z y)) x)) z)
(* 2 (sqrt z))
(*.f64 (sqrt.f64 z) #s(literal 2 binary64))
(* 2 (sqrt z))
(*.f64 (sqrt.f64 z) #s(literal 2 binary64))
(* 2 (sqrt z))
(*.f64 (sqrt.f64 z) #s(literal 2 binary64))
(* 2 (sqrt z))
(*.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
x
(+ x (/ (* x z) y))
(fma.f64 (/.f64 z y) x x)
(+ x (/ (* x z) y))
(fma.f64 (/.f64 z y) x x)
(+ x (/ (* x z) y))
(fma.f64 (/.f64 z y) x x)
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(* x (sqrt (/ y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) x)
(/ (+ (* x (sqrt (* y z))) (* x (sqrt (/ (pow z 3) y)))) z)
(/.f64 (.f64 x (+.f64 (sqrt.f64 (.f64 (.f64 z z) (/.f64 z y))) (sqrt.f64 (.f64 z y)))) z)
(/ (+ (* x (sqrt (* y z))) (* x (sqrt (/ (pow z 3) y)))) z)
(/.f64 (.f64 x (+.f64 (sqrt.f64 (.f64 (.f64 z z) (/.f64 z y))) (sqrt.f64 (.f64 z y)))) z)
(/ (+ (* x (sqrt (* y z))) (* x (sqrt (/ (pow z 3) y)))) z)
(/.f64 (.f64 x (+.f64 (sqrt.f64 (.f64 (.f64 z z) (/.f64 z y))) (sqrt.f64 (.f64 z y)))) z)
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(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (sqrt.f64 #s(literal -1 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)))))) #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y))) (pow.f64 x #s(literal 5 binary64)))))) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x)))))))) (neg.f64 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 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x)) (sqrt.f64 #s(literal -1 binary64)))) (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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y))) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x)) (sqrt.f64 #s(literal -1 binary64))))) (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 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y))) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 (.f64 z z) (.f64 y y)) (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 (.f64 z z) z) (.f64 (.f64 y y) y)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x))
(* -1 (* (pow x 2) z))
(.f64 (.f64 (neg.f64 x) x) z)
(* (pow x 2) (+ (* -1 z) (* -1 (/ (* z (+ y (* -1 y))) x))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 0 binary64) z) x) z) (*.f64 x x))
(* (pow x 2) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* (pow y 2) z) x)) (* z (+ y (* -1 y)))) x))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (.f64 (neg.f64 y) y) (/.f64 z x))) (neg.f64 x)) z) (.f64 x x))
(* (pow x 2) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* (pow y 2) z) x)) (* z (+ y (* -1 y)))) x))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (.f64 (neg.f64 y) y) (/.f64 z x))) (neg.f64 x)) z) (.f64 x x))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (neg.f64 z) y) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 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 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x)))))) (neg.f64 x))
(* -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 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y))) (pow.f64 x #s(literal 5 binary64)))))) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x))))))) (neg.f64 x))
(* -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 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (sqrt.f64 #s(literal -1 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)))))) #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (neg.f64 z) y) (.f64 (+.f64 z y) (+.f64 z y))) (pow.f64 x #s(literal 5 binary64)))))) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) y) (.f64 (.f64 x x) x)))))))) (neg.f64 x))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(* -1 (* x (+ (* -2 (* (/ 1 x) (sqrt (* y z)))) (* -1 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (sqrt.f64 (.f64 z y)) (.f64 (-.f64 (neg.f64 z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) (neg.f64 x))
(* -1 (* x (+ (* -2 (* (/ 1 x) (sqrt (* y z)))) (* -1 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (sqrt.f64 (.f64 z y)) (.f64 (-.f64 (neg.f64 z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) (neg.f64 x))
(* -1 (* x (+ (* -2 (* (/ 1 x) (sqrt (* y z)))) (* -1 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (sqrt.f64 (.f64 z y)) (.f64 (-.f64 (neg.f64 z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ z y)) 1)))
(fma.f64 (/.f64 (neg.f64 z) y) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ z y)) 1)))
(fma.f64 (/.f64 (neg.f64 z) y) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ z y)) 1)))
(fma.f64 (/.f64 (neg.f64 z) y) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ z y)) 1)))
(fma.f64 (/.f64 (neg.f64 z) y) (neg.f64 x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y (.f64 y (/.f64 y x)) (.f64 y y)) x) y)) x)) (neg.f64 x))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(* (* x (+ y z)) (sqrt (/ 1 (* y z))))
(.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))

rewrite350.0ms (3.7%)

Memory

-59.3MiB live, 332.4MiB allocated

Rules

7 562×	`lower-fma.f32`
7 554×	`lower-fma.f64`
5 806×	`lower-*.f32`
5 778×	`lower-*.f64`
5 732×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	362
0	91	348
1	328	313
2	2430	313
0	9737	302

Stop Event

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

Counts

26 → 895

Calls

Call 1

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

Outputs
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (/.f64 x (sqrt.f64 (.f64 z y))) (+.f64 z y) (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 z y)) (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64) (.f64 (neg.f64 (+.f64 z y)) (/.f64 x (sqrt.f64 (.f64 z y)))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y)) (.f64 #s(literal 4 binary64) (.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (.f64 z y))) (+.f64 z y) (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 z y))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y)) #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 (+.f64 z y) x)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 z y) (.f64 (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (.f64 z y))) (fma.f64 (/.f64 x (sqrt.f64 (.f64 z y))) (+.f64 z y) (.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 z y))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y)) #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 (+.f64 z y) x)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y)) (.f64 #s(literal 4 binary64) (.f64 z y))) (.f64 (.f64 (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (.f64 z y))) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64) (.f64 (neg.f64 (+.f64 z y)) (/.f64 x (sqrt.f64 (.f64 z y))))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 z y)) (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (*.f64 z y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 z y) (.f64 (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (.f64 z y))) (fma.f64 (/.f64 x (sqrt.f64 (.f64 z y))) (+.f64 z y) (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 z y)))))) (fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y)) #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 (+.f64 z y) x)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (.f64 z y))) (+.f64 z y) (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 z y)))) (-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y)) (.f64 #s(literal 4 binary64) (*.f64 z y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y)) (.f64 #s(literal 4 binary64) (.f64 z y))) (.f64 (.f64 (/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))) #s(literal 2 binary64))) (fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y)) #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 (+.f64 z y) x)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 z y))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 z y)) (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64) (.f64 (neg.f64 (+.f64 z y)) (/.f64 x (sqrt.f64 (*.f64 z y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z y) x) x) (+.f64 z y)) (.f64 z y)) (.f64 #s(literal 4 binary64) (.f64 z y))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (.f64 z y))) (+.f64 z y) (.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 z y)))))))
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(/.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (.f64 z y)) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 z x) (-.f64 (.f64 z x) (*.f64 y x))))))
(/.f64 (.f64 (neg.f64 x) (+.f64 z y)) (neg.f64 (sqrt.f64 (.f64 z y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 z y)) (.f64 (+.f64 z y) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (.f64 z y)) (.f64 (+.f64 z y) x))))
(/.f64 (.f64 (+.f64 z y) x) (sqrt.f64 (.f64 z y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 z y)) (.f64 (+.f64 z y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (.f64 z y)) (.f64 (+.f64 z y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 z y)) (.f64 (+.f64 z y) x)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 z y)) (sqrt.f64 (.f64 z y))))
(neg.f64 (/.f64 (.f64 (+.f64 z y) x) (neg.f64 (sqrt.f64 (.f64 z y)))))
(fma.f64 (/.f64 z (sqrt.f64 (.f64 z y))) x (.f64 (/.f64 y (sqrt.f64 (*.f64 z y))) x))
(fma.f64 (.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 (.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (*.f64 z x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (*.f64 y x)))
(fma.f64 (.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 (.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(fma.f64 x (/.f64 z (sqrt.f64 (.f64 z y))) (.f64 x (/.f64 y (sqrt.f64 (*.f64 z y)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (sqrt.f64 (.f64 z y)) (.f64 x (-.f64 y z)))) (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (sqrt.f64 (.f64 z y)) (.f64 x (-.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 z y)))) (/.f64 (.f64 (+.f64 z y) x) (neg.f64 (sqrt.f64 (*.f64 z y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 x (-.f64 y z))) (sqrt.f64 (.f64 z y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 x (-.f64 y z))) (sqrt.f64 (.f64 z y))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 z y)) (*.f64 (+.f64 z y) x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) (.f64 (.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))))
(+.f64 (.f64 (.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) (.f64 (.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))))
(+.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 z y))) x) (.f64 (/.f64 y (sqrt.f64 (.f64 z y))) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 y x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 z x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 z x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 y x)))
(+.f64 (.f64 x (/.f64 z (sqrt.f64 (.f64 z y)))) (.f64 x (/.f64 y (sqrt.f64 (.f64 z y)))))

eval260.0ms (2.8%)

Memory: 56.0MiB live, 469.3MiB allocated
Compiler: Compiled 52 023 to 3 803 computations (92.7% saved)

prune306.0ms (3.3%)

Memory

-47.7MiB live, 649.1MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 705	10	1 715
Fresh	6	15	21
Picked	4	1	5
Done	0	2	2
Total	1 715	28	1 743

Accuracy

88.2%

Counts

1 743 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	24.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 (neg.f64 y) x)))) (sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 (neg.f64 y) x)))) #s(literal 2 binary64))
	48.5%	(.f64 (sqrt.f64 (fma.f64 (/.f64 z (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 y x))) #s(literal 2 binary64))
	55.9%	(.f64 (sqrt.f64 (fma.f64 #s(approx ( (* (+ x y) (- y x)) z) (.f64 (.f64 y y) z)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 x y))) #s(literal 2 binary64))
▶	58.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))) #s(literal 2 binary64))
	51.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 (fma.f64 y (/.f64 z x) z) y) x))) #s(literal 2 binary64))
	40.4%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
▶	38.5%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
✓	3.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	38.0%	(.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 z y))))))
	24.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 (.f64 z y) (.f64 (*.f64 (+.f64 z y) (+.f64 z y)) x))) x)))))
	40.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) (fma.f64 z (-.f64 x y) (*.f64 y x)))))
	48.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (-.f64 y z) x)) (.f64 y z))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
▶	17.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z)))))))
▶	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))))
✓	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	31.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	22.9%	(.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)))))
	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (.f64 #s(approx (+ ( x (/ z y)) x) (*.f64 (/.f64 z y) x)) y)))))
	45.7%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (+.f64 y x)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	3.6%	#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))))
	48.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) #s(approx (/ ( (+ z y) x) (sqrt (* z y))) (*.f64 (sqrt.f64 (/.f64 z y)) x))))
▶	32.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
	48.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt.f64 (/.f64 z y))) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))))
	47.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x)))

Compiler

Compiled 1 022 to 588 computations (42.5% saved)

simplify150.0ms (1.6%)

Memory

25.5MiB live, 257.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z))))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z)))))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z))))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z)))))))
cost-diff	0	#s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
cost-diff	192	(*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))) #s(literal 2 binary64))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x)

Rules

8 188×	`lower-fma.f32`
8 180×	`lower-fma.f64`
4 420×	`lower-*.f32`
4 394×	`lower-*.f64`
1 964×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	512
0	91	498
1	145	466
2	206	466
3	320	466
4	501	462
5	853	462
6	1825	462
7	3985	462
8	7495	462
0	8257	445

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.7%)

Memory

-7.8MiB live, 271.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.253782392250207	(fma.f64 z z (*.f64 y (-.f64 y z)))
accuracy	15.142752798421274	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z))))))
accuracy	27.92152734793043	(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z))))
accuracy	32.31667252636681	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (fma.f64 z z (*.f64 y (-.f64 y z)))))
accuracy	6.319022825202339	(sqrt.f64 (/.f64 z y))
accuracy	12.681822291137122	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
accuracy	15.388123044870198	(sqrt.f64 (*.f64 z y))
accuracy	47.69892307557546	#s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 z y))
accuracy	0.16796875	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y)))
accuracy	15.142752798421274	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y)))))
accuracy	32.31667252636681	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))
accuracy	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
accuracy	0	(*.f64 z y)
accuracy	12.417317145052714	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
accuracy	15.142752798421274	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
accuracy	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))
accuracy	0.0703125	(fma.f64 z (/.f64 y x) (+.f64 z y))
accuracy	6.867664809543278	(*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x)
accuracy	15.142752798421274	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x)))

Samples

81.0ms	195×	0	valid
18.0ms	61×	0	invalid

Compiler

Compiled 347 to 49 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 28.0ms (36.4% of total)

ival-mult: 27.0ms (35.1% of total)

ival-div: 10.0ms (13% of total)

ival-sqrt: 10.0ms (13% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (1%)

Memory

17.6MiB live, 185.5MiB allocated

Counts

25 → 816

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((* (+ (* z (/ y x)) (+ z y)) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (/ x (/ 1 (+ z y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (sqrt (/ z y)) -1) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (+ (* (* z z) z) (* (* y y) y)) x) (+ (* z z) (* y (- y z)))) (+ (* z (/ y x)) (+ z y)) (/ 1 (+ z y)) (sqrt (* z y)) (sqrt (/ z y)) (+ (* z z) (* y (- y z))))
4.0ms	x	@	inf	((* (+ (* z (/ y x)) (+ z y)) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (/ x (/ 1 (+ z y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (sqrt (/ z y)) -1) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (+ (* (* z z) z) (* (* y y) y)) x) (+ (* z z) (* y (- y z)))) (+ (* z (/ y x)) (+ z y)) (/ 1 (+ z y)) (sqrt (* z y)) (sqrt (/ z y)) (+ (* z z) (* y (- y z))))
4.0ms	y	@	-inf	((* (+ (* z (/ y x)) (+ z y)) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (/ x (/ 1 (+ z y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (sqrt (/ z y)) -1) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (+ (* (* z z) z) (* (* y y) y)) x) (+ (* z z) (* y (- y z)))) (+ (* z (/ y x)) (+ z y)) (/ 1 (+ z y)) (sqrt (* z y)) (sqrt (/ z y)) (+ (* z z) (* y (- y z))))
4.0ms	x	@	-inf	((* (+ (* z (/ y x)) (+ z y)) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (/ x (/ 1 (+ z y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (sqrt (/ z y)) -1) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (+ (* (* z z) z) (* (* y y) y)) x) (+ (* z z) (* y (- y z)))) (+ (* z (/ y x)) (+ z y)) (/ 1 (+ z y)) (sqrt (* z y)) (sqrt (/ z y)) (+ (* z z) (* y (- y z))))
4.0ms	x	@	0	((* (+ (* z (/ y x)) (+ z y)) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (/ x (/ 1 (+ z y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (sqrt (/ z y)) -1) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (sqrt (* z y)) 2)) (* (sqrt (/ 1 (* z y))) (+ z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (+ (* (* z z) z) (* (* y y) y)) x) (+ (* z z) (* y (- y z)))) (+ (* z (/ y x)) (+ z y)) (/ 1 (+ z y)) (sqrt (* z y)) (sqrt (/ z y)) (+ (* z z) (* y (- y z))))

simplify253.0ms (2.7%)

Memory

4.2MiB live, 316.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 748×	`lower-fma.f64`
9 748×	`lower-fma.f32`
5 702×	`lower-*.f64`
5 702×	`lower-*.f32`
5 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	944	18015
1	3208	17366
0	8322	16652

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 814

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

rewrite256.0ms (2.7%)

Memory

-33.2MiB live, 291.3MiB allocated

Rules

4 658×	`lower-*.f32`
4 634×	`lower-*.f64`
4 272×	`lower-/.f32`
4 262×	`lower-/.f64`
3 676×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	429
0	91	359
1	320	333
2	2201	333
0	8652	320

Stop Event

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

Counts

25 → 643

Calls

Call 1

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

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

eval190.0ms (2%)

Memory: 25.9MiB live, 488.0MiB allocated
Compiler: Compiled 44 721 to 3 601 computations (91.9% saved)

prune162.0ms (1.7%)

Memory

5.3MiB live, 375.9MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 486	13	1 499
Fresh	4	16	20
Picked	3	2	5
Done	0	3	3
Total	1 493	34	1 527

Accuracy

88.3%

Counts

1 527 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	24.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 (neg.f64 y) x)))) (sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 (neg.f64 y) x)))) #s(literal 2 binary64))
	48.5%	(.f64 (sqrt.f64 (fma.f64 (/.f64 z (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 y x))) #s(literal 2 binary64))
	58.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (.f64 (fma.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x))) #s(literal 2 binary64))
✓	58.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))) #s(literal 2 binary64))
	40.4%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
	20.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (.f64 #s(approx (+ ( z (/ y x)) (+ z y)) (*.f64 (/.f64 z x) y)) x))) #s(literal 2 binary64))
✓	38.5%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
✓	3.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	25.3%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (sqrt.f64 (.f64 (.f64 (*.f64 y z) y) z)))) #s(literal 2 binary64))
	38.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) #s(approx (* (+ (* z (/ y x)) (+ z y)) x) (.f64 (.f64 (neg.f64 z) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) #s(literal 2 binary64))
	38.0%	(.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 z y))))))
	24.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 (.f64 z y) (.f64 (*.f64 (+.f64 z y) (+.f64 z y)) x))) x)))))
	48.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (.f64 x x)) (-.f64 y z)) (.f64 (-.f64 y z) x)) (.f64 y z))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
	13.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (/.f64 (.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (-.f64 (.f64 z z) (.f64 (-.f64 y z) y))) (-.f64 (.f64 z z) (.f64 (-.f64 y z) y)))))))
	16.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) #s(approx (+ (* z z) (* y (- y z))) (*.f64 y y))))))
	31.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x #s(approx (/ 1 (+ z y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y))))))
	31.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x #s(approx (/ 1 (+ z y)) (/.f64 #s(literal 1 binary64) y))))))
	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))))
✓	33.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	31.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	22.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (/ (* (+ (* (* z z) z) (* (* y y) y)) x) (+ (* z z) (* y (- y z)))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (.f64 #s(approx (+ ( x (/ z y)) x) (*.f64 (/.f64 z y) x)) y)))))
	45.7%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (+.f64 y x)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	3.6%	#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))))
	48.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) #s(approx (/ ( (+ z y) x) (sqrt (* z y))) (*.f64 (sqrt.f64 (/.f64 z y)) x))))
	32.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (sqrt.f64 (.f64 y z)) #s(literal 2 binary64) (.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (neg.f64 (sqrt.f64 (/.f64 z y)))) x)))
	32.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
	19.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (pow.f64 (.f64 (/.f64 z y) (/.f64 z y)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	1.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (.f64 (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y))) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))))
	48.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt.f64 (/.f64 z y))) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))))
	47.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z y))) (+ z y)) x) (* (* (sqrt z) (sqrt y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x)))

Compiler

Compiled 1 777 to 682 computations (61.6% saved)

regimes113.0ms (1.2%)

Memory

13.2MiB live, 207.8MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

19.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
19.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
18.0ms	z
18.0ms	y
18.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
79.9%	2	`x`
85.9%	2	`y`
85.5%	2	`z`
85.3%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
85.3%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
85.3%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes30.0ms (0.3%)

Memory

-16.8MiB live, 25.1MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
85.9%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes134.0ms (1.4%)

Memory

-2.8MiB live, 113.3MiB allocated

Counts

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

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

Calls

6 calls:

48.0ms	x
30.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
22.0ms	z
10.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
10.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
69.6%	1	`x`
69.6%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
69.6%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
69.6%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
69.6%	1	`z`
69.6%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes68.0ms (0.7%)

Memory

0.2MiB live, 45.1MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

48.0ms	(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	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
68.5%	2	`z`
48.9%	4	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
48.9%	4	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
48.9%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
65.2%	2	`x`
69.7%	2	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

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

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
69.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB 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 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
(.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

2 calls:

3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
67.0%	2	`z`
68.3%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes48.0ms (0.5%)

Memory

-27.2MiB live, 11.6MiB allocated

Counts

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

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

2 calls:

45.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
65.7%	2	`z`
66.7%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Accuracy

Total -17.9b remaining (-40.6%)

Threshold costs -17.9b (-40.6%)

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:

2.0ms	(+.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	z
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
31.0%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
31.0%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
31.0%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
31.0%	1	`x`
31.0%	1	`z`
31.0%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch117.0ms (1.2%)

Memory

-29.5MiB live, 49.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	914779723679193000.0	1.0866189748453794e+21

Samples

55.0ms	128×	0	valid
7.0ms	112×	0	invalid

Compiler

Compiled 292 to 193 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61.8% of total)

ival-add: 2.0ms (20.6% of total)

ival-sqrt: 2.0ms (20.6% 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

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	914779723679193000.0	1.0866189748453794e+21

Compiler

Compiled 292 to 193 computations (33.9% saved)

bsearch20.0ms (0.2%)

Memory

29.6MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
18.0ms	-9.809764120761267e-277	2.9888624307381405e-283

Samples

6.0ms	96×	0	valid
6.0ms	88×	0	invalid

Compiler

Compiled 182 to 125 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.6% of total)

ival-add: 2.0ms (27.3% of total)

ival-sqrt: 1.0ms (13.6% 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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-9.809764120761267e-277	2.9888624307381405e-283

Compiler

Compiled 176 to 125 computations (29% saved)

bsearch101.0ms (1.1%)

Memory

-0.7MiB live, 42.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
97.0ms	-9.809764120761267e-277	2.9888624307381405e-283

Samples

76.0ms	160×	0	valid
11.0ms	176×	0	invalid

Compiler

Compiled 308 to 221 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 73.0ms (92.4% of total)

ival-add: 3.0ms (3.8% of total)

ival-sqrt: 2.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch85.0ms (0.9%)

Memory

-22.1MiB live, 56.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
81.0ms	-9.809764120761267e-277	2.9888624307381405e-283

Samples

55.0ms	184×	0	invalid
15.0ms	176×	0	valid

Compiler

Compiled 284 to 209 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (56.3% of total)

ival-add: 3.0ms (21.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	308
1	93	308

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 600000000000000000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) #s(approx (/ ( (+ z y) x) (sqrt (* z y))) (*.f64 (sqrt.f64 (/.f64 z y)) x)))))
(if (<=.f64 y #s(literal 600000000000000000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt.f64 (/.f64 z y))) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y))))) (.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 -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 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 -4629024155415/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 600000000000000000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) #s(approx (/ ( (+ z y) x) (sqrt (* z y))) (*.f64 (sqrt.f64 (/.f64 z y)) x)))))
(if (<=.f64 y #s(literal 600000000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y) #s(approx (/ ( (+ z y) x) (sqrt (* z y))) (*.f64 (sqrt.f64 (/.f64 z y)) x)))))
(if (<=.f64 y #s(literal 600000000000000000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt.f64 (/.f64 z y))) x (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal 600000000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z y))) (+ z y)) (sqrt.f64 (/.f64 z y))) x (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 z)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y))))
(if (<=.f64 y #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y))))) (.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 -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y)))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 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 -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 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 z (+.f64 x y)))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -4629024155415/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488 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 -4629024155415/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488 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 (+.f64 x y)))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness861.0ms (9.2%)

Memory

14.2MiB live, 770.7MiB allocated

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
10 902×	`lower-fma.f64`
10 902×	`lower-fma.f32`
8 534×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6236	3318
0	8106	3177
0	850	17088
1	2860	16405
2	7354	16401
0	8515	15764
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33
0	37	268
0	61	246
1	214	231
2	1371	231
0	8194	231

Stop Event

1×	fuel
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 518 to 242 computations (53.3% saved)

preprocess141.0ms (1.5%)

Memory: -8.8MiB live, 225.3MiB allocated
Compiler: Compiled 696 to 288 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze296.0ms (3.2%)

sample1.6s (16.6%)

explain124.0ms (1.3%)

preprocess73.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize33.0ms (0.4%)

series25.0ms (0.3%)

simplify214.0ms (2.3%)

rewrite302.0ms (3.2%)

eval66.0ms (0.7%)

prune110.0ms (1.2%)

simplify25.0ms (0.3%)

localize142.0ms (1.5%)

series155.0ms (1.7%)

simplify340.0ms (3.6%)

rewrite267.0ms (2.9%)

eval417.0ms (4.5%)

prune327.0ms (3.5%)

simplify208.0ms (2.2%)

localize225.0ms (2.4%)

series150.0ms (1.6%)

simplify354.0ms (3.8%)

rewrite350.0ms (3.7%)

eval260.0ms (2.8%)

prune306.0ms (3.3%)

simplify150.0ms (1.6%)

localize161.0ms (1.7%)

series92.0ms (1%)

simplify253.0ms (2.7%)

rewrite256.0ms (2.7%)

eval190.0ms (2%)

prune162.0ms (1.7%)

regimes113.0ms (1.2%)

regimes30.0ms (0.3%)

regimes134.0ms (1.4%)

regimes68.0ms (0.7%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes48.0ms (0.5%)

regimes10.0ms (0.1%)

bsearch117.0ms (1.2%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch101.0ms (1.1%)

bsearch85.0ms (0.9%)

simplify9.0ms (0.1%)

soundness861.0ms (9.2%)

preprocess141.0ms (1.5%)

end0.0ms (0%)

Profiling