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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze271.0ms (2.4%)

Memory

0.8MiB live, 283.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample2.0s (17.5%)

Memory

35.4MiB live, 2 050.4MiB allocated

Samples

971.0ms	8 256×	0	valid
503.0ms	4 537×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 546.0ms (48.6% of total)

ival-add: 304.0ms (27% of total)

ival-sqrt: 252.0ms (22.4% of total)

ival-true: 9.0ms (0.8% of total)

exact: 7.0ms (0.6% of total)

ival-assert: 5.0ms (0.4% of total)

Bogosity

explain180.0ms (1.6%)

Memory

-3.4MiB live, 265.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	65	1
-	0	190

Precision

1.0

Recall

0.9848484848484849

Confusion?

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

Precision?

1.0

Recall?

0.9848484848484849

Freqs

test

number	freq
0	191
1	54
2	8
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions

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

ival-mult: 15.0ms (55.9% of total)

ival-sqrt: 6.0ms (22.4% of total)

ival-add: 4.0ms (14.9% of total)

ival-true: 1.0ms (3.7% of total)

exact: 0.0ms (0% of total)

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

preprocess52.0ms (0.5%)

Memory

-16.7MiB live, 46.2MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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)

localize57.0ms (0.5%)

Memory

0.3MiB live, 37.4MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

50.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

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

ival-mult: 6.0ms (53.2% of total)

ival-add: 2.0ms (17.7% of total)

ival-sqrt: 2.0ms (17.7% of total)

ival-true: 1.0ms (8.9% of total)

exact: 0.0ms (0% of total)

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

series50.0ms (0.4%)

Memory

24.0MiB live, 59.5MiB 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 (+ (* -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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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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>) () ())) ())
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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))))) (+ (* 1/16 (* (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
26.0ms	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))))
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	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))))

simplify225.0ms (2%)

Memory

-15.8MiB live, 256.0MiB 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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rewrite220.0ms (1.9%)

Memory

25.4MiB live, 218.4MiB 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)))

eval91.0ms (0.8%)

Memory: -17.5MiB live, 108.4MiB allocated
Compiler: Compiled 14 008 to 1 559 computations (88.9% saved)

prune108.0ms (1%)

Memory

15.2MiB live, 172.9MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

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

Accuracy

85.9%

Counts

373 → 18

Alt Table

Click to see full alt table

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

Compiler

Compiled 736 to 428 computations (41.8% saved)

simplify14.0ms (0.1%)

Memory

-9.1MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	389
0	73	373
1	116	366
2	164	354
3	256	354
4	289	354
0	289	354

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize147.0ms (1.3%)

Memory

8.3MiB live, 196.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.274989643449083	(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)))
accuracy	9.31133721940871	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	12.587539041165817	#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))
accuracy	13.139493213566947	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 (+.f64 y x) z))))
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.26618232459288355	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	0.5039007452111204	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	10.243779229179248	(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	0.0234375	(*.f64 (+.f64 z y) x)
accuracy	10.256106864611185	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	29.46199483448596	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
accuracy	10.256106864611185	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	30.064930320330493	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
accuracy	1.4999834856333614	(fma.f64 y (+.f64 z x) (*.f64 z x))
accuracy	10.256106864611185	(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))

Samples

75.0ms	179×	0	valid
41.0ms	77×	0	invalid

Compiler

Compiled 344 to 40 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 72.0ms (75.3% of total)

ival-add: 9.0ms (9.4% of total)

ival-sqrt: 8.0ms (8.4% of total)

ival-div: 6.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series130.0ms (1.2%)

Memory

6.9MiB live, 214.3MiB allocated

Counts

23 → 792

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z 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 z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z)))
13.0ms	z	@	inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z 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 z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z)))
10.0ms	y	@	inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z 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 z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z)))
8.0ms	z	@	-inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z 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 z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z)))
8.0ms	x	@	-inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z 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 z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z)))

simplify286.0ms (2.5%)

Memory

10.8MiB live, 425.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 868×	`lower-*.f64`
7 868×	`lower-*.f32`
7 240×	`lower-fma.f64`
7 240×	`lower-fma.f32`
5 554×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1628	23266
1	5646	22569
0	9100	21721

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 786

Calls

Call 1

Inputs
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Outputs
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x
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rewrite283.0ms (2.5%)

Memory

-32.3MiB live, 318.3MiB allocated

Rules

5 462×	`lower-fma.f32`
5 456×	`lower-fma.f64`
4 266×	`lower-/.f32`
4 258×	`lower-/.f64`
4 096×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	312
0	73	290
1	256	270
2	1692	270
0	8281	267

Stop Event

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

Counts

23 → 847

Calls

Call 1

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

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

eval351.0ms (3.1%)

Memory: 23.6MiB live, 246.5MiB allocated
Compiler: Compiled 60 143 to 4 701 computations (92.2% saved)

prune611.0ms (5.4%)

Memory

-4.9MiB live, 600.0MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 669	16	1 685
Fresh	8	5	13
Picked	3	2	5
Done	0	0	0
Total	1 680	23	1 703

Accuracy

88.4%

Counts

1 703 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.4%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (*.f64 x (-.f64 y z))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	37.7%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
▶	71.3%	(.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 x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y)))))
	45.4%	(.f64 #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))))
	43.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (/.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) x) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) y) y) (fma.f64 z (-.f64 x y) (.f64 y x)))))))
	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z)))))
	23.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) x) (fma.f64 y (-.f64 y z) (*.f64 z z))))))
▶	31.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
▶	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
▶	31.6%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (.f64 y y) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	2.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	47.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) z))) z))
	38.0%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z))
	1.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (.f64 (.f64 z z) z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	2.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
▶	43.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))

Compiler

Compiled 932 to 535 computations (42.6% saved)

simplify220.0ms (1.9%)

Memory

4.9MiB live, 112.8MiB 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 (+.f64 z x) (.f64 (*.f64 y y) y))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (.f64 y y) y)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (.f64 y y) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (.f64 y y) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
cost-diff	1408	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y))))
cost-diff	64	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y)
cost-diff	320	(.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 x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y)))))

Rules

9 628×	`lower-fma.f32`
9 626×	`lower-fma.f64`
3 766×	`lower-*.f32`
3 736×	`lower-*.f64`
1 754×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	709
0	106	691
1	187	677
2	387	671
3	997	647
4	2375	639
5	5332	639
0	8120	624

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (2%)

Memory

-20.0MiB live, 195.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.752966162650782	(sqrt.f64 (/.f64 (+.f64 z x) y))
accuracy	6.306859642291038	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (.f64 y y) y)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
accuracy	12.69076614489603	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (*.f64 y y) y))))
accuracy	13.057475139863598	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) (.f64 (.f64 y y) y)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
accuracy	8.217152799260218	(.f64 (.f64 (+.f64 z y) (-.f64 z y)) x)
accuracy	9.334286638999407	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))
accuracy	10.256106864611185	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))))
accuracy	29.46199483448596	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))
accuracy	4.125217720041502	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
accuracy	9.31133721940871	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	11.88448616341081	#s(approx (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
accuracy	12.587539041165817	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
accuracy	10.256106864611185	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
accuracy	39.81647523470536	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
accuracy	0.37754937025793006	#s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y))
accuracy	2.09358039476987	(.f64 (.f64 (+.f64 z x) (+.f64 z x)) y)
accuracy	10.243779229179248	(sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))) y)))
accuracy	12.851234146602378	(/.f64 (.f64 z x) (.f64 (*.f64 (+.f64 z x) (+.f64 z x)) y))

Samples

106.0ms	179×	0	valid
48.0ms	77×	0	invalid

Compiler

Compiled 489 to 56 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-sqrt: 46.0ms (39.1% of total)

ival-mult: 31.0ms (26.3% of total)

ival-sub: 16.0ms (13.6% of total)

ival-div: 15.0ms (12.7% of total)

ival-add: 9.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series182.0ms (1.6%)

Memory

29.7MiB live, 140.6MiB allocated

Counts

26 → 924

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ (- (/ 1 (+ z x)) (/ (* z x) (* (* (+ z x) (+ z x)) y))) y) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) 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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (/ (* z x) (* (* (+ z x) (+ z x)) y)) (* (* (+ z x) (+ z x)) y) (/ 1 (+ (* (+ y x) z) (* y x))) (sqrt (/ (+ y x) z)) (* (* (+ z y) (- z y)) x) (sqrt (/ (+ z x) y)))
17.0ms	y	@	0	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ (- (/ 1 (+ z x)) (/ (* z x) (* (* (+ z x) (+ z x)) y))) y) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) 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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (/ (* z x) (* (* (+ z x) (+ z x)) y)) (* (* (+ z x) (+ z x)) y) (/ 1 (+ (* (+ y x) z) (* y x))) (sqrt (/ (+ y x) z)) (* (* (+ z y) (- z y)) x) (sqrt (/ (+ z x) y)))
16.0ms	y	@	-inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ (- (/ 1 (+ z x)) (/ (* z x) (* (* (+ z x) (+ z x)) y))) y) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) 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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (/ (* z x) (* (* (+ z x) (+ z x)) y)) (* (* (+ z x) (+ z x)) y) (/ 1 (+ (* (+ y x) z) (* y x))) (sqrt (/ (+ y x) z)) (* (* (+ z y) (- z y)) x) (sqrt (/ (+ z x) y)))
11.0ms	z	@	inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ (- (/ 1 (+ z x)) (/ (* z x) (* (* (+ z x) (+ z x)) y))) y) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) 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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (/ (* z x) (* (* (+ z x) (+ z x)) y)) (* (* (+ z x) (+ z x)) y) (/ 1 (+ (* (+ y x) z) (* y x))) (sqrt (/ (+ y x) z)) (* (* (+ z y) (- z y)) x) (sqrt (/ (+ z x) y)))
8.0ms	z	@	-inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ (- (/ 1 (+ z x)) (/ (* z x) (* (* (+ z x) (+ z x)) y))) y) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) 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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (/ (* z x) (* (* (+ z x) (+ z x)) y)) (* (* (+ z x) (+ z x)) y) (/ 1 (+ (* (+ y x) z) (* y x))) (sqrt (/ (+ y x) z)) (* (* (+ z y) (- z y)) x) (sqrt (/ (+ z x) y)))

simplify382.0ms (3.4%)

Memory

20.9MiB live, 366.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 482×	`lower-*.f64`
7 482×	`lower-*.f32`
5 420×	`lower-fma.f64`
5 420×	`lower-fma.f32`
5 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2546	29040
1	7517	28459
0	8257	27325

Stop Event

1×	iter limit
1×	node limit

Counts

924 → 924

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

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

rewrite216.0ms (1.9%)

Memory

-36.9MiB live, 288.7MiB allocated

Rules

6 864×	`lower-*.f32`
6 834×	`lower-*.f64`
3 678×	`lower-/.f32`
3 662×	`lower-/.f64`
2 666×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	583
0	106	543
1	396	492
2	3063	488
0	9793	473

Stop Event

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

Counts

26 → 397

Calls

Call 1

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

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

eval274.0ms (2.4%)

Memory: 42.7MiB live, 343.6MiB allocated
Compiler: Compiled 50 382 to 4 727 computations (90.6% saved)

prune534.0ms (4.7%)

Memory

-26.6MiB live, 391.0MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 366	7	1 373
Fresh	11	5	16
Picked	3	2	5
Done	0	2	2
Total	1 380	16	1 396

Accuracy

99.0%

Counts

1 396 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.4%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (.f64 (fma.f64 (+.f64 x y) z (.f64 x y)) (fma.f64 z y (.f64 x (-.f64 y z))))) (sqrt.f64 (fma.f64 z y (*.f64 x (-.f64 y z))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	38.6%	(.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 x)) #s(approx (/ (* z x) (* (* (+ z x) (+ z x)) y)) (/.f64 z (*.f64 x y)))) y)))))
▶	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x)))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
▶	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (/ (* (* (+ z y) (- z y)) x) (- z y)) (*.f64 z (fma.f64 x (/.f64 y z) x))))))
▶	42.7%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64))) y))
▶	42.9%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) y))
▶	49.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z))
✓	43.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))

Compiler

Compiled 441 to 269 computations (39% saved)

simplify430.0ms (3.8%)

Memory

16.1MiB live, 95.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64))) y)
cost-diff	0	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64))) y))
cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) y)
cost-diff	0	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) y))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x)))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x)))))
cost-diff	192	(fma.f64 y x (*.f64 z x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))

Rules

3 568×	`lower-fma.f32`
3 566×	`lower-fma.f64`
2 352×	`lower-*.f32`
2 330×	`lower-*.f64`
2 240×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	577
0	96	555
1	154	535
2	243	529
3	345	529
4	371	529
5	374	529
6	379	529
7	385	529
8	399	529
9	439	529
10	474	529
11	574	529
12	728	529
13	1301	529
14	2859	529
15	4540	529
16	5394	529
17	5617	529
18	5840	529
19	5869	529
20	6531	529
21	6870	529
22	6892	529
23	6923	529
24	6944	529
25	6959	529
26	6971	529
27	6971	529
28	6971	529
29	7143	529
30	7467	529
31	7576	529
32	7576	529
33	7576	529
34	7578	529
0	7578	511

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize178.0ms (1.6%)

Memory

12.9MiB live, 281.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64))) y)
accuracy	0.4932165434602925	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64))) y))
accuracy	4.280246616741566	(sqrt.f64 (/.f64 (+.f64 z x) y))
accuracy	31.653097061723287	#s(approx (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal -1 binary64)))
accuracy	0.1171875	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) y)
accuracy	0.4932165434602925	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) y))
accuracy	0.8820571451024937	#s(approx (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))
accuracy	4.280246616741566	(sqrt.f64 (/.f64 z y))
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x)))))
accuracy	0.01171875	(fma.f64 y x (*.f64 z x))
accuracy	7.8798973397907766	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x))))
accuracy	29.46199483448596	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x)))
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
accuracy	0.6832117779602954	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
accuracy	7.8798973397907766	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
accuracy	0	#s(approx (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)))
accuracy	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
accuracy	0.09765625	(.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)
accuracy	0.171875	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))

Samples

97.0ms	128×	0	invalid
48.0ms	128×	0	valid

Compiler

Compiled 379 to 58 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 38.0ms (43.2% of total)

ival-sqrt: 28.0ms (31.8% of total)

ival-div: 12.0ms (13.6% of total)

ival-add: 10.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.9%)

Memory

-29.0MiB live, 139.7MiB allocated

Counts

22 → 756

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (+ (* y x) (* z x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* 2 (sqrt (/ z y))) (* (* 2 (sqrt (/ (+ z x) y))) -1) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ z y)) (sqrt (/ (+ z x) y)))
8.0ms	z	@	0	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (+ (* y x) (* z x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* 2 (sqrt (/ z y))) (* (* 2 (sqrt (/ (+ z x) y))) -1) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ z y)) (sqrt (/ (+ z x) y)))
5.0ms	z	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (+ (* y x) (* z x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* 2 (sqrt (/ z y))) (* (* 2 (sqrt (/ (+ z x) y))) -1) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ z y)) (sqrt (/ (+ z x) y)))
4.0ms	y	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (+ (* y x) (* z x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* 2 (sqrt (/ z y))) (* (* 2 (sqrt (/ (+ z x) y))) -1) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ z y)) (sqrt (/ (+ z x) y)))
3.0ms	z	@	inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (+ (* y x) (* z x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* 2 (sqrt (/ z y))) (* (* 2 (sqrt (/ (+ z x) y))) -1) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (* (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ z y)) (sqrt (/ (+ z x) y)))

simplify246.0ms (2.2%)

Memory

13.9MiB live, 481.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 108×	`lower-fma.f64`
8 108×	`lower-fma.f32`
7 030×	`lower-*.f64`
7 030×	`lower-*.f32`
6 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1536	24073
1	5311	22781
0	8300	21876

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

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

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

rewrite201.0ms (1.8%)

Memory

13.6MiB live, 335.0MiB allocated

Rules

4 444×	`lower-fma.f32`
4 442×	`lower-fma.f64`
4 246×	`lower-*.f32`
4 224×	`lower-*.f64`
3 862×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	521
0	96	487
1	335	447
2	2098	447
0	8474	429

Stop Event

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

Counts

22 → 166

Calls

Call 1

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

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

eval162.0ms (1.4%)

Memory: 11.6MiB live, 280.8MiB allocated
Compiler: Compiled 29 978 to 2 017 computations (93.3% saved)

prune375.0ms (3.3%)

Memory

-147.8MiB live, 383.6MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	913	9	922
Fresh	4	3	7
Picked	1	4	5
Done	0	4	4
Total	918	20	938

Accuracy

99.0%

Counts

938 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
✓	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 z x)))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
✓	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	2.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	48.3%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))
	44.1%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (/.f64 y (+.f64 z x)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) y))
	44.2%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y (+.f64 z x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) y))
	47.4%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y)))) #s(literal -1 binary64))) y))
	44.1%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) #s(literal -1 binary64))) y))
	47.4%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))) #s(literal -1 binary64))) y))
	40.1%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) y))
	43.0%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))))) y))
✓	42.9%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) y))
	42.6%	#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* 2 (sqrt (/ (+ z x) y))) -1) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y))
✓	49.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
✓	43.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))

Compiler

Compiled 1 170 to 472 computations (59.7% saved)

regimes102.0ms (0.9%)

Memory

25.0MiB live, 216.3MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
91.6%	3	`x`
97.1%	2	`y`
93.3%	3	`z`
88.0%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
88.0%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
88.0%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes13.0ms (0.1%)

Memory

-5.0MiB live, 32.4MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
97.1%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-10.6MiB live, 24.6MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
96.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-42.7MiB live, 16.1MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
78.1%	2	`x`
82.0%	3	`z`
86.6%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.3%)

Memory

-25.5MiB live, 51.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
5.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
3.0ms	y
3.0ms	z

Results

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes20.0ms (0.2%)

Memory

14.0MiB live, 53.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

6 calls:

4.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
3.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
3.0ms	z
3.0ms	x

Results

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.5%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.5%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-13.6MiB live, 29.3MiB allocated

Accuracy

Total -22.8b remaining (-57.7%)

Threshold costs -22.8b (-57.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	z
2.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
2.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
2.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
2.0ms	y

Results

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch54.0ms (0.5%)

Memory

12.0MiB live, 89.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	-6.4375924436022355e-273	1.7017317748056808e-302

Samples

22.0ms	288×	0	invalid
12.0ms	192×	0	valid

Compiler

Compiled 500 to 353 computations (29.4% saved)

Precisions

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

ival-mult: 11.0ms (49.3% of total)

ival-add: 6.0ms (26.9% of total)

ival-sqrt: 5.0ms (22.4% 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

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.4375924436022355e-273	1.7017317748056808e-302

Compiler

Compiled 476 to 329 computations (30.9% saved)

bsearch104.0ms (0.9%)

Memory

4.5MiB live, 123.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-6.4375924436022355e-273	1.7017317748056808e-302
51.0ms	-3.992396068600106e+46	-1.8399032489206183e+46

Samples

53.0ms	256×	0	valid
27.0ms	347×	0	invalid

Compiler

Compiled 537 to 347 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 41.0ms (63.9% of total)

ival-mult: 18.0ms (28.1% of total)

ival-sqrt: 4.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Memory

-29.7MiB live, 91.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.9719463811634674e-230	5.557350247522998e-222
1.0ms	-3.992396068600106e+46	-1.8399032489206183e+46

Samples

12.0ms	144×	0	valid
11.0ms	169×	0	invalid

Compiler

Compiled 440 to 292 computations (33.6% saved)

Precisions

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

ival-mult: 10.0ms (66.5% of total)

ival-add: 3.0ms (19.9% of total)

ival-sqrt: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.4%)

Memory

27.6MiB live, 66.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	4.2244964141078845e-28	1.5295980807677094e-11
0.0ms	-3.992396068600106e+46	-1.8399032489206183e+46

Samples

23.0ms	191×	0	invalid
10.0ms	160×	0	valid

Compiler

Compiled 480 to 312 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 13.0ms (54.7% of total)

ival-mult: 8.0ms (33.6% of total)

ival-sqrt: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch55.0ms (0.5%)

Memory

-29.0MiB live, 47.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	5.990461859234599e+100	2.381728087035854e+102
1.0ms	-3.992396068600106e+46	-1.8399032489206183e+46

Samples

36.0ms	94×	0	invalid
7.0ms	112×	0	valid

Compiler

Compiled 373 to 245 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 34.0ms (90.2% of total)

ival-add: 2.0ms (5.3% of total)

ival-sqrt: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.990461859234599e+100	2.381728087035854e+102

Compiler

Compiled 223 to 150 computations (32.7% saved)

bsearch48.0ms (0.4%)

Memory

-6.6MiB live, 78.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-1.3092872476297788e-244	-5.372841852945023e-251

Samples

22.0ms	247×	0	invalid
9.0ms	144×	0	valid

Compiler

Compiled 254 to 179 computations (29.5% saved)

Precisions

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

ival-mult: 9.0ms (57.1% of total)

ival-add: 3.0ms (19% of total)

ival-sqrt: 2.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Memory

34.2MiB live, 71.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-4.0544127742693996e-238	-1.3092872476297788e-244

Samples

14.0ms	191×	0	invalid
9.0ms	144×	0	valid

Compiler

Compiled 236 to 170 computations (28% saved)

Precisions

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

ival-mult: 8.0ms (53.2% of total)

ival-add: 5.0ms (33.3% of total)

ival-sqrt: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (0.5%)

Memory

-30.6MiB live, 52.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-4.0544127742693996e-238	-1.3092872476297788e-244

Samples

20.0ms	128×	0	valid
12.0ms	188×	0	invalid

Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 19.0ms (78.9% of total)

ival-add: 3.0ms (12.5% of total)

ival-sqrt: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify21.0ms (0.2%)

Memory

2.6MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	987
1	198	985
2	214	985
3	238	984
4	262	984
5	276	984
6	285	984
7	288	984

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -18272463771375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))) #s(literal -1 binary64))) y)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal -18272463771375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y)))) #s(literal -1 binary64))) y)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* 2 (sqrt (/ (+ z x) y))) -1) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 5211697425172221/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (.f64 x z))))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* 2 (sqrt (/ (+ z x) y))) -1) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 8953632661337695/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* 2 (sqrt (/ (+ z x) y))) -1) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 602134035108409/633825300114114700748351602688 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -18499999999999999492791472096551073504158547968 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* 2 (sqrt (/ (+ z x) y))) -1) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 59999999999999997068835682134136940971241037736633875053874287242207990129397466887072249504723894272 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal 59999999999999997068835682134136940971241037736633875053874287242207990129397466887072249504723894272 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(if (<=.f64 y #s(literal -221681207370465/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -4059104138863495/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))

Outputs
(if (<=.f64 y #s(literal -18272463771375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))) #s(literal -1 binary64))) y)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal -18272463771375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (neg.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 (+.f64 z x)))))) y)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal -18272463771375/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (+ z x) (* (* y y) y)))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y)))) #s(literal -1 binary64))) y)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* z z) (* (+ y x) z)))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
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(.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))

soundness1.5s (13%)

Memory

48.6MiB live, 1 474.7MiB allocated

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
8 534×	`lower-fma.f64`
8 534×	`lower-fma.f32`
8 108×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	312
0	73	290
1	256	270
2	1692	270
0	8281	267
0	1628	23266
1	5646	22569
0	9100	21721
0	2546	29040
1	7517	28459
0	8257	27325
0	501	3429
1	1684	3363
2	6236	3318
0	8106	3177
0	1536	24073
1	5311	22781
0	8300	21876
0	73	521
0	96	487
1	335	447
2	2098	447
0	8474	429
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33
0	70	583
0	106	543
1	396	492
2	3063	488
0	9793	473

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

Compiler

Compiled 926 to 480 computations (48.2% saved)

preprocess340.0ms (3%)

Memory: -27.9MiB live, 344.6MiB allocated
Compiler: Compiled 1 068 to 402 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze271.0ms (2.4%)

sample2.0s (17.5%)

explain180.0ms (1.6%)

preprocess52.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize57.0ms (0.5%)

series50.0ms (0.4%)

simplify225.0ms (2%)

rewrite220.0ms (1.9%)

eval91.0ms (0.8%)

prune108.0ms (1%)

simplify14.0ms (0.1%)

localize147.0ms (1.3%)

series130.0ms (1.2%)

simplify286.0ms (2.5%)

rewrite283.0ms (2.5%)

eval351.0ms (3.1%)

prune611.0ms (5.4%)

simplify220.0ms (1.9%)

localize229.0ms (2%)

series182.0ms (1.6%)

simplify382.0ms (3.4%)

rewrite216.0ms (1.9%)

eval274.0ms (2.4%)

prune534.0ms (4.7%)

simplify430.0ms (3.8%)

localize178.0ms (1.6%)

series103.0ms (0.9%)

simplify246.0ms (2.2%)

rewrite201.0ms (1.8%)

eval162.0ms (1.4%)

prune375.0ms (3.3%)

regimes102.0ms (0.9%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes12.0ms (0.1%)

regimes31.0ms (0.3%)

regimes20.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes12.0ms (0.1%)

bsearch54.0ms (0.5%)

bsearch1.0ms (0%)

bsearch104.0ms (0.9%)

bsearch38.0ms (0.3%)

bsearch48.0ms (0.4%)

bsearch55.0ms (0.5%)

bsearch1.0ms (0%)

bsearch48.0ms (0.4%)

bsearch37.0ms (0.3%)

bsearch62.0ms (0.5%)

simplify21.0ms (0.2%)

soundness1.5s (13%)

preprocess340.0ms (3%)

end0.0ms (0%)

Profiling