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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze203.0ms (2%)

Memory

15.3MiB live, 289.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.8s (17.7%)

Memory

-56.5MiB live, 2 297.9MiB allocated

Samples

753.0ms	8 256×	0	valid
564.0ms	4 705×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 889.0ms

ival-mult: 449.0ms (50.5% of total)

ival-add: 269.0ms (30.3% of total)

ival-sqrt: 149.0ms (16.8% of total)

ival-true: 10.0ms (1.1% of total)

exact: 7.0ms (0.8% of total)

ival-assert: 5.0ms (0.6% of total)

Bogosity

explain139.0ms (1.3%)

Memory

-0.3MiB live, 198.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
78	-	-	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
10	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
3	-	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	-	`z`
0	-	-	`(*.f64 x z)`
0	-	-	`(*.f64 x y)`
0	-	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 y z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	oflow-rescue	71	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	71
↳	`(*.f64 y z)`	overflow	31
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	57
↳	`(*.f64 x z)`	overflow	28
↳	`(*.f64 x y)`	overflow	39
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	10	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	57
↳	`(*.f64 x z)`	overflow	28
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 y z)`	overflow	31
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	7	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	7
↳	`(*.f64 y z)`	underflow	33
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	12
↳	`(*.f64 x z)`	underflow	26
↳	`(*.f64 x y)`	underflow	30
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 x z)`	overflow	28

Confusion

	Predicted +	Predicted -
+	78	0
-	0	178

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	0	0	178

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	178
1	67
2	9
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 132 to 37 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.6% of total)

ival-add: 4.0ms (18.9% of total)

ival-sqrt: 4.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess75.0ms (0.7%)

Memory

-21.0MiB live, 56.7MiB 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 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify4.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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)

localize31.0ms (0.3%)

Memory

16.3MiB live, 53.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	0.8203125000000001	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.8007812500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	18.445562851061435	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

23.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

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

ival-mult: 10.0ms (68.8% of total)

ival-add: 2.0ms (13.8% of total)

ival-sqrt: 2.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

-31.8MiB live, 54.5MiB 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 (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
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#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -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)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
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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 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
11.0ms	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))))
6.0ms	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))))
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))))
2.0ms	y	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
2.0ms	z	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))

simplify186.0ms (1.8%)

Memory

11.8MiB live, 202.2MiB 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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rewrite175.0ms (1.7%)

Memory

9.6MiB live, 239.4MiB 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
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eval51.0ms (0.5%)

Memory: 28.5MiB live, 110.7MiB allocated
Compiler: Compiled 11 150 to 1 656 computations (85.1% saved)

prune25.0ms (0.2%)

Memory

-0.3MiB live, 71.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	356	16	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	16	373

Accuracy

83.2%

Counts

373 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
	70.9%	(.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))))))
	70.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
▶	71.1%	(.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))))))
	47.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	44.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	52.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
	61.4%	(.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))))
▶	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	39.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	3.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	34.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	32.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
▶	41.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))

Compiler

Compiled 480 to 380 computations (20.8% saved)

simplify73.0ms (0.7%)

Memory

-47.0MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
cost-diff	0	(.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))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
cost-diff	0	(+.f64 y x)
cost-diff	0	(fma.f64 (+.f64 y x) z (*.f64 y x))
cost-diff	0	(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))

Rules

452×	`lower-*.f32`
436×	`lower-*.f64`
264×	`lower-fma.f32`
260×	`lower-fma.f64`
174×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	372
0	66	346
1	103	339
2	154	339
3	271	339
4	373	339
5	459	339
6	468	339
7	483	339
8	535	339
9	556	339
10	571	339
11	590	339
12	594	339
13	594	339
0	594	339

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize121.0ms (1.2%)

Memory

2.0MiB live, 154.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.143452912394281	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
accuracy	11.983669869588846	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	13.689149643094265	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
accuracy	16.07953952413192	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
accuracy	0.5156194952111204	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	0.6067702549958739	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	14.89940602110684	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.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	0.01171875	(*.f64 (+.f64 z y) x)
accuracy	14.89940602110684	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	30.431805036825256	#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	14.89940602110684	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	31.168233675346233	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.5156194952111204	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	14.89940602110684	(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))

Samples

58.0ms	198×	0	valid
14.0ms	58×	0	invalid

Compiler

Compiled 329 to 37 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 19.0ms (41.4% of total)

ival-sqrt: 8.0ms (17.5% of total)

ival-div: 7.0ms (15.3% of total)

ival-add: 7.0ms (15.3% of total)

ival-pow: 4.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series100.0ms (1%)

Memory

0.7MiB live, 160.5MiB allocated

Counts

21 → 732

Calls

Call 1

Inputs
#s(alt (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 z y) x) (patch (.f64 (+.f64 z y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))) #<representation binary64>) () ())
#s(alt (.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)))))) (patch (.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)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<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 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (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 (+.f64 y x) z (.f64 y x))) (patch (sqrt.f64 (fma.f64 (+.f64 y x) 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 (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 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>) () ())) ())
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#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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<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
14.0ms	x	@	inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (/ (+ y x) z)))
9.0ms	y	@	0	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (/ (+ y x) z)))
8.0ms	y	@	-inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (/ (+ y x) z)))
6.0ms	x	@	-inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (/ (+ y x) z)))
6.0ms	z	@	-inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (/ (+ y x) z)))

simplify401.0ms (3.9%)

Memory

24.3MiB live, 311.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
6 350×	`lower-*.f64`
6 350×	`lower-*.f32`
6 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1341	21165
1	4638	20436
0	8315	19622

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

rewrite199.0ms (1.9%)

Memory

-23.6MiB live, 207.6MiB allocated

Rules

4 988×	`lower-fma.f32`
4 984×	`lower-fma.f64`
4 098×	`lower-/.f32`
4 088×	`lower-/.f64`
3 910×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	294
0	66	268
1	232	253
2	1505	253
0	8173	253

Stop Event

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

Counts

21 → 727

Calls

Call 1

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

Outputs
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eval671.0ms (6.5%)

Memory: 34.3MiB live, 525.0MiB allocated
Compiler: Compiled 56 061 to 5 968 computations (89.4% saved)

prune196.0ms (1.9%)

Memory

-8.1MiB live, 194.7MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 864	20	1 884
Fresh	8	3	11
Picked	3	2	5
Done	0	0	0
Total	1 875	25	1 900

Accuracy

86.2%

Counts

1 900 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(.f64 (sqrt.f64 (fma.f64 z y (.f64 (+.f64 z y) x))) #s(literal 2 binary64))
	52.0%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)) x))) #s(literal 2 binary64))
	39.0%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
	38.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
▶	3.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	70.9%	(.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))))))
▶	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	47.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
	25.4%	(.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)))))
	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
✓	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	34.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.1%	(.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)))))
	32.5%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	37.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) z))) z) (fma.f64 (/.f64 (.f64 x y) (sqrt.f64 (+.f64 x y))) (pow.f64 z #s(literal -3/2 binary64)) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
	44.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x y) (sqrt.f64 (+.f64 x y))) (pow.f64 z #s(literal -3/2 binary64)) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))))))
	47.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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))
▶	45.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	45.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
▶	38.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))))
	2.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal -1 binary64)) #s(literal 2 binary64))))))

Compiler

Compiled 840 to 663 computations (21.1% saved)

simplify14.0ms (0.1%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z)
cost-diff	0	(fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) 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 (+ y x)) (pow z 3))) (* 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 (+ y x)) (pow z 3))) (* 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 (+ y x)) (pow z 3))) (* 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 (+ (* (+ y x) z) (* y x)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	(fma.f64 z y (*.f64 (+.f64 z y) x))
cost-diff	0	(sqrt.f64 (fma.f64 z y (*.f64 (+.f64 z y) x)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 z y (.f64 (+.f64 z y) x))) #s(literal 2 binary64))

Rules

294×	`lower-*.f32`
274×	`lower-*.f64`
256×	`lower-fma.f32`
252×	`lower-fma.f64`
96×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	528
0	90	510
1	140	502
2	203	502
3	317	502
4	428	502
5	432	502
0	432	497

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize214.0ms (2.1%)

Memory

-24.2MiB live, 129.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	15.787590625209846	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
accuracy	16.07953952413192	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))))
accuracy	16.288593653506368	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
accuracy	16.38795108923187	(sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))))
accuracy	0.6067702549958739	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
accuracy	14.626038108416395	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
accuracy	14.89940602110684	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))))
accuracy	4.337763524583908	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
accuracy	11.983669869588846	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	15.178500015562056	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
accuracy	16.07953952413192	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
accuracy	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
accuracy	0	(*.f64 z x)
accuracy	14.89940602110684	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
accuracy	44.27454975114656	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
accuracy	0	(.f64 (sqrt.f64 (fma.f64 z y (.f64 (+.f64 z y) x))) #s(literal 2 binary64))
accuracy	0.01171875	(*.f64 (+.f64 z y) x)
accuracy	1.7499807332389217	(fma.f64 z y (*.f64 (+.f64 z y) x))
accuracy	14.89940602110684	(sqrt.f64 (fma.f64 z y (*.f64 (+.f64 z y) x)))

Samples

114.0ms	198×	0	valid
19.0ms	58×	0	invalid

Compiler

Compiled 375 to 52 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 58.0ms (60.9% of total)

ival-sqrt: 13.0ms (13.7% of total)

ival-div: 10.0ms (10.5% of total)

ival-add: 9.0ms (9.5% of total)

ival-pow: 4.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series115.0ms (1.1%)

Memory

30.9MiB live, 105.2MiB allocated

Counts

24 → 816

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((* (sqrt (+ (* z y) (* (+ z y) x))) 2) (sqrt (+ (* z y) (* (+ z y) x))) (+ (* z y) (* (+ z y) x)) (* (+ z y) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (sqrt (/ (+ y x) z)) (+ (* (+ y x) z) (* y x)) (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y))))
6.0ms	z	@	-inf	((* (sqrt (+ (* z y) (* (+ z y) x))) 2) (sqrt (+ (* z y) (* (+ z y) x))) (+ (* z y) (* (+ z y) x)) (* (+ z y) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (sqrt (/ (+ y x) z)) (+ (* (+ y x) z) (* y x)) (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y))))
5.0ms	x	@	-inf	((* (sqrt (+ (* z y) (* (+ z y) x))) 2) (sqrt (+ (* z y) (* (+ z y) x))) (+ (* z y) (* (+ z y) x)) (* (+ z y) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (sqrt (/ (+ y x) z)) (+ (* (+ y x) z) (* y x)) (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y))))
4.0ms	y	@	-inf	((* (sqrt (+ (* z y) (* (+ z y) x))) 2) (sqrt (+ (* z y) (* (+ z y) x))) (+ (* z y) (* (+ z y) x)) (* (+ z y) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (sqrt (/ (+ y x) z)) (+ (* (+ y x) z) (* y x)) (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y))))
4.0ms	z	@	0	((* (sqrt (+ (* z y) (* (+ z y) x))) 2) (sqrt (+ (* z y) (* (+ z y) x))) (+ (* z y) (* (+ z y) x)) (* (+ z y) x) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (sqrt (/ (+ y x) z)) (+ (* (+ y x) z) (* y x)) (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y))))

simplify425.0ms (4.1%)

Memory

-9.1MiB live, 361.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 902×	`lower-*.f64`
6 902×	`lower-*.f32`
6 640×	`lower-fma.f64`
6 640×	`lower-fma.f32`
5 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1417	22718
1	5002	21702
0	8361	20856

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

Calls

Call 1

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

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

rewrite423.0ms (4.1%)

Memory

3.9MiB live, 161.2MiB allocated

Rules

4 868×	`lower-*.f32`
4 848×	`lower-*.f64`
3 788×	`lower-/.f32`
3 778×	`lower-/.f64`
3 264×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	454
0	90	436
1	330	413
2	2150	413
0	8683	404

Stop Event

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

Counts

24 → 500

Calls

Call 1

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

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eval384.0ms (3.7%)

Memory: -3.4MiB live, 281.3MiB allocated
Compiler: Compiled 38 634 to 4 730 computations (87.8% saved)

prune158.0ms (1.5%)

Memory

-7.9MiB live, 157.4MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 306	10	1 316
Fresh	4	14	18
Picked	2	3	5
Done	0	2	2
Total	1 312	29	1 341

Accuracy

86.4%

Counts

1 341 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 x z)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	38.9%	(.f64 (sqrt.f64 (fma.f64 z y #s(approx ( (+ z y) x) (*.f64 z x)))) #s(literal 2 binary64))
	52.0%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)) x))) #s(literal 2 binary64))
	39.0%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
▶	38.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
✓	3.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
▶	70.9%	(.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))))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	47.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	27.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 y z)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
▶	25.4%	(.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)))))
	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
✓	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	34.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
▶	26.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	44.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x y) (sqrt.f64 (+.f64 x y))) (pow.f64 z #s(literal -3/2 binary64)) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))))))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	51.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
▶	28.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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))
✓	45.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	45.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	44.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (sqrt (/ (+ y x) z)) 2) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))))) z))
	49.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 y) (pow.f64 (.f64 y z) #s(literal -1/2 binary64))) z) x))))
	31.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 #s(approx (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)))))
	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
	2.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x))))

Compiler

Compiled 800 to 657 computations (17.9% saved)

simplify207.0ms (2%)

Memory

-2.5MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
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	#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
cost-diff	896	(*.f64 (fma.f64 x (/.f64 y z) x) z)
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
cost-diff	0	(/.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))))))

Rules

14 620×	`lower-fma.f32`
14 616×	`lower-fma.f64`
4 392×	`lower-*.f32`
4 368×	`lower-*.f64`
1 700×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	537
0	91	516
1	148	509
2	236	509
3	464	491
4	858	467
5	2062	467
6	5404	467
0	8512	464

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 (/.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)
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
(*.f64 z y)
z
y
#s(literal 2 binary64)
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
#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))))
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))
#s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))
(*.f64 (fma.f64 x (/.f64 y z) x) z)
(fma.f64 x (/.f64 y z) x)
x
(/.f64 y z)
y
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(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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z)
#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)

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

localize271.0ms (2.6%)

Memory

9.5MiB live, 210.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.337763524583908	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z)
accuracy	15.178500015562056	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	16.07953952413192	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
accuracy	28.473565947354224	(pow.f64 (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64))
accuracy	8.436500361378597	(.f64 (.f64 (+.f64 z y) (-.f64 z y)) x)
accuracy	12.112841807584344	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))
accuracy	14.89940602110684	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))))
accuracy	30.431805036825256	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))
accuracy	0.046875	(fma.f64 x (/.f64 y z) x)
accuracy	2.829339488595488	(*.f64 (fma.f64 x (/.f64 y z) x) z)
accuracy	14.89940602110684	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))
accuracy	30.431805036825256	#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))
accuracy	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
accuracy	0	(*.f64 z y)
accuracy	14.626038108416395	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
accuracy	14.89940602110684	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.5156194952111204	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	0.6067702549958739	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	14.232218219549218	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))

Samples

202.0ms	198×	0	valid
20.0ms	58×	0	invalid

Compiler

Compiled 367 to 52 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div: 111.0ms (66.9% of total)

ival-mult: 26.0ms (15.7% of total)

ival-pow: 10.0ms (6% of total)

ival-add: 9.0ms (5.4% of total)

ival-sqrt: 8.0ms (4.8% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series684.0ms (6.6%)

Memory

-20.8MiB live, 204.6MiB allocated

Counts

24 → 852

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
329.0ms	z	@	0	((* 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))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (* (+ 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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4) 2) (+ (* (+ y x) z) (* y x)) (+ (* x (/ y z)) x) (* (* (+ z y) (- z y)) x) (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4))
105.0ms	x	@	-inf	((* 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))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (* (+ 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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4) 2) (+ (* (+ y x) z) (* y x)) (+ (* x (/ y z)) x) (* (* (+ z y) (- z y)) x) (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4))
59.0ms	z	@	-inf	((* 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))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (* (+ 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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4) 2) (+ (* (+ y x) z) (* y x)) (+ (* x (/ y z)) x) (* (* (+ z y) (- z y)) x) (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4))
49.0ms	y	@	inf	((* 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))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (* (+ 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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4) 2) (+ (* (+ y x) z) (* y x)) (+ (* x (/ y z)) x) (* (* (+ z y) (- z y)) x) (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4))
43.0ms	x	@	inf	((* 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))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ (* (* (+ 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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4) 2) (+ (* (+ y x) z) (* y x)) (+ (* x (/ y z)) x) (* (* (+ z y) (- z y)) x) (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4))

simplify346.0ms (3.4%)

Memory

13.1MiB live, 322.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 834×	`lower-*.f64`
7 834×	`lower-*.f32`
5 882×	`lower-fma.f64`
5 882×	`lower-fma.f32`
3 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1630	24035
1	5738	23247
0	8099	22346

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 849

Calls

Call 1

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

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

rewrite193.0ms (1.9%)

Memory

-4.2MiB live, 265.8MiB allocated

Rules

4 634×	`lower-/.f32`
4 624×	`lower-/.f64`
4 408×	`lower-*.f32`
4 384×	`lower-*.f64`
2 626×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	461
0	91	425
1	330	358
2	2352	358
0	8421	355

Stop Event

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

Counts

24 → 526

Calls

Call 1

Inputs
(.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)))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
(*.f64 z y)
(*.f64 (fma.f64 x (/.f64 y z) x) z)
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))
(/.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 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z)
#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 y x) z (*.f64 y x))
(fma.f64 x (/.f64 y z) x)
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) x)
(pow.f64 (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64))

Outputs
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eval185.0ms (1.8%)

Memory: 22.4MiB live, 483.4MiB allocated
Compiler: Compiled 38 675 to 5 231 computations (86.5% saved)

prune94.0ms (0.9%)

Memory

6.7MiB live, 255.7MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	1 365	10	1 375
Fresh	3	16	19
Picked	2	3	5
Done	0	5	5
Total	1 370	34	1 404

Accuracy

86.9%

Counts

1 404 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 x z)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	38.9%	(.f64 (sqrt.f64 (fma.f64 z y #s(approx ( (+ z y) x) (*.f64 z x)))) #s(literal 2 binary64))
	52.0%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)) x))) #s(literal 2 binary64))
	39.0%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
✓	38.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
✓	3.7%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	37.9%	(.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))))))
	3.6%	(.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 x))))))
	34.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	28.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	27.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 y z)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
	22.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (/.f64 (.f64 (.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (-.f64 z y) x)) (-.f64 z y)) (-.f64 z y)))))
	25.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(approx (* (* (+ z y) (- z y)) x) (.f64 (neg.f64 x) (.f64 y y))) (-.f64 z y)))))
	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
✓	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	34.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	19.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 y (/.f64 x z) x) z)))))
✓	26.1%	(.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)))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) #s(approx (* (+ (* x (/ y z)) x) z) (.f64 (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) z) x))))))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	44.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x y) (sqrt.f64 (+.f64 x y))) (pow.f64 z #s(literal -3/2 binary64)) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))))))
	51.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
✓	28.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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))
✓	45.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	45.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	17.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 4 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64))) z))
	44.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (pow (* (/ (+ x y) z) (/ (+ x y) z)) 1/4) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
	49.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y) (.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 y) (pow.f64 (.f64 y z) #s(literal -1/2 binary64))) z) x))))
	31.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 #s(approx (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)))))
	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
	2.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x))))

Compiler

Compiled 1 395 to 766 computations (45.1% saved)

regimes101.0ms (1%)

Memory

-9.7MiB live, 226.1MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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:

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

Results

Accuracy	Segments	Branch
81.2%	2	`x`
85.7%	2	`y`
83.9%	2	`z`
85.0%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
85.0%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
85.0%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes12.0ms (0.1%)

Memory

-12.0MiB live, 31.1MiB 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 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
(.f64 (sqrt.f64 (fma.f64 z y #s(approx ( (+ z y) x) (*.f64 z x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(.f64 (sqrt.f64 (fma.f64 z y (.f64 (+.f64 z y) x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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) x) (*.f64 (fma.f64 y (/.f64 x z) x) z)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) #s(approx (* (+ (* x (/ y z)) x) z) (.f64 (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) z) x))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 y z)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))))))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(approx (* (* (+ z y) (- z y)) x) (.f64 (neg.f64 x) (.f64 y y))) (-.f64 z y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 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 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

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

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.0%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes43.0ms (0.4%)

Memory

-8.7MiB live, 70.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))

Calls

5 calls:

22.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
6.0ms	z
5.0ms	y
5.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
5.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
82.8%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
82.8%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
82.8%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
78.1%	2	`z`
83.4%	2	`y`

Compiler

Compiled 39 to 34 computations (12.8% saved)

regimes41.0ms (0.4%)

Memory

25.1MiB live, 64.5MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
5.0ms	z
5.0ms	x
5.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
5.0ms	y

Results

Accuracy	Segments	Branch
71.1%	1	`z`
71.1%	1	`x`
71.1%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
71.1%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
71.1%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
71.1%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes143.0ms (1.4%)

Memory

-35.2MiB live, 62.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

62.0ms	x
62.0ms	y
5.0ms	z
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
71.0%	1	`y`
71.0%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
71.0%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
71.0%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
71.0%	1	`x`
71.0%	1	`z`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes40.0ms (0.4%)

Memory

21.2MiB live, 60.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (*.f64 x y)))))
(.f64 (sqrt.f64 (fma.f64 z y #s(approx ( (+ z y) x) (*.f64 z x)))) #s(literal 2 binary64))
(.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:

17.0ms	y
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	z
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

Results

Accuracy	Segments	Branch
70.9%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
70.9%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
70.9%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
70.9%	1	`y`
70.9%	1	`x`
70.9%	1	`z`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes47.0ms (0.5%)

Memory

6.0MiB live, 45.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

26.0ms	x
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	y
4.0ms	z
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

Results

Accuracy	Segments	Branch
71.2%	2	`y`
42.7%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
42.7%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
42.7%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
66.3%	2	`x`
69.1%	2	`z`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes43.0ms (0.4%)

Memory

-33.0MiB live, 8.0MiB 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 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* (+ (sqrt (/ y (pow z 3))) (sqrt (/ 1 (* z y)))) z) x) (* (sqrt (* z y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) x))))

Outputs

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

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

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
71.2%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
70.4%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.1%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Accuracy

Total -20.3b remaining (-48.5%)

Threshold costs -20.3b (-48.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	(.f64 #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)))
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
34.7%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
34.7%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
34.7%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
34.7%	1	`x`
34.7%	1	`z`
34.7%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch121.0ms (1.2%)

Memory

-10.4MiB live, 68.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
74.0ms	-5.193862171064275e-287	5.435146315867701e-281

Samples

49.0ms	216×	0	invalid
12.0ms	192×	0	valid

Compiler

Compiled 293 to 293 computations (0% saved)

Precisions

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

ival-mult: 44.0ms (86.8% of total)

ival-add: 3.0ms (5.9% of total)

ival-sqrt: 3.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch57.0ms (0.6%)

Memory

-9.6MiB live, 29.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	1237344172.700122	3947196075.6753836

Samples

5.0ms	80×	0	valid
4.0ms	57×	0	invalid

Compiler

Compiled 132 to 127 computations (3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (56.2% of total)

ival-add: 1.0ms (18.7% of total)

ival-sqrt: 1.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1237344172.700122	3947196075.6753836

Samples

3.0ms	53×	0	invalid
3.0ms	48×	0	valid

Compiler

Compiled 122 to 122 computations (0% saved)

Precisions

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

ival-mult: 2.0ms (52.5% of total)

ival-add: 1.0ms (26.2% of total)

ival-sqrt: 1.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

-22.1MiB live, 18.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
16.0ms	-5.193862171064275e-287	5.435146315867701e-281

Samples

3.0ms	52×	0	invalid
3.0ms	48×	0	valid

Compiler

Compiled 93 to 97 computations (-4.3% saved)

Precisions

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

ival-mult: 2.0ms (50.7% of total)

ival-add: 1.0ms (25.3% of total)

ival-sqrt: 1.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-5.193862171064275e-287	5.435146315867701e-281

Compiler

Compiled 89 to 97 computations (-9% saved)

bsearch70.0ms (0.7%)

Memory

8.0MiB live, 47.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	-5.193862171064275e-287	5.435146315867701e-281

Samples

9.0ms	144×	0	valid
9.0ms	134×	0	invalid

Compiler

Compiled 209 to 245 computations (-17.2% saved)

Precisions

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

ival-mult: 6.0ms (55.5% of total)

ival-add: 2.0ms (18.5% of total)

ival-sqrt: 2.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch85.0ms (0.8%)

Memory

16.4MiB live, 55.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
81.0ms	-5.193862171064275e-287	5.435146315867701e-281

Samples

61.0ms	155×	0	invalid
10.0ms	160×	0	valid

Compiler

Compiled 185 to 233 computations (-25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 58.0ms (91.9% of total)

ival-add: 3.0ms (4.8% of total)

ival-sqrt: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify71.0ms (0.7%)

Memory

-34.9MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	423
1	122	423

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 6212971049969201/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y))))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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 1300000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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 1800000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 z y (.f64 (+.f64 z y) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(if (<=.f64 y #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y))))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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 -8743510234639941/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 6212971049969201/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y))))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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 6212971049969201/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y)))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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 1300000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* 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 1300000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 1800000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 1800000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 z y (.f64 (+.f64 z y) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y))))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z x (.f64 x y)))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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 -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -8743510234639941/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 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 -8743510234639941/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64))

soundness1.1s (10.3%)

Memory

40.6MiB live, 955.1MiB allocated

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
8 534×	`lower-fma.f64`
8 534×	`lower-fma.f32`
8 508×	`lower-fma.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
0	501	3429
1	1684	3363
2	6236	3318
0	8106	3177
0	61	454
0	90	436
1	330	413
2	2150	413
0	8683	404
0	1341	21165
1	4638	20436
0	8315	19622
0	40	294
0	66	268
1	232	253
2	1505	253
0	8173	253

Stop Event

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

Compiler

Compiled 562 to 311 computations (44.7% saved)

preprocess109.0ms (1.1%)

Memory: 8.0MiB live, 284.4MiB allocated
Compiler: Compiled 778 to 388 computations (50.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	40	372
0	66	346
1	103	339
2	154	339
3	271	339
4	373	339
5	459	339
6	468	339
7	483	339
8	535	339
9	556	339
10	571	339
11	590	339
12	594	339
13	594	339
0	594	339

Iter	Nodes	Cost
0	40	372
0	66	346
1	103	339
2	154	339
3	271	339
4	373	339
5	459	339
6	468	339
7	483	339
8	535	339
9	556	339
10	571	339
11	590	339
12	594	339
13	594	339
0	594	339

start0.0ms (0%)

analyze203.0ms (2%)

sample1.8s (17.7%)

explain139.0ms (1.3%)

preprocess75.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize31.0ms (0.3%)

series37.0ms (0.4%)

simplify186.0ms (1.8%)

rewrite175.0ms (1.7%)

eval51.0ms (0.5%)

prune25.0ms (0.2%)

simplify73.0ms (0.7%)

localize121.0ms (1.2%)

series100.0ms (1%)

simplify401.0ms (3.9%)

rewrite199.0ms (1.9%)

eval671.0ms (6.5%)

prune196.0ms (1.9%)

simplify14.0ms (0.1%)

localize214.0ms (2.1%)

series115.0ms (1.1%)

simplify425.0ms (4.1%)

rewrite423.0ms (4.1%)

eval384.0ms (3.7%)

prune158.0ms (1.5%)

simplify207.0ms (2%)

localize271.0ms (2.6%)

series684.0ms (6.6%)

simplify346.0ms (3.4%)

rewrite193.0ms (1.9%)

eval185.0ms (1.8%)

prune94.0ms (0.9%)

regimes101.0ms (1%)

regimes12.0ms (0.1%)

regimes43.0ms (0.4%)

regimes41.0ms (0.4%)

regimes143.0ms (1.4%)

regimes40.0ms (0.4%)

regimes47.0ms (0.5%)

regimes43.0ms (0.4%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

bsearch121.0ms (1.2%)

bsearch57.0ms (0.6%)

bsearch12.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch70.0ms (0.7%)

bsearch85.0ms (0.8%)

simplify71.0ms (0.7%)

soundness1.1s (10.3%)

preprocess109.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	40	372
0	66	346
1	103	339
2	154	339
3	271	339
4	373	339
5	459	339
6	468	339
7	483	339
8	535	339
9	556	339
10	571	339
11	590	339
12	594	339
13	594	339
0	594	339