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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze250.0ms (2.7%)

Memory

-3.4MiB live, 323.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.6s (17.3%)

Memory

66.3MiB live, 2 374.8MiB allocated

Samples

768.0ms	8 256×	0	valid
397.0ms	4 589×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 719.0ms

ival-mult: 473.0ms (65.8% of total)

ival-add: 136.0ms (18.9% of total)

ival-sqrt: 87.0ms (12.1% of total)

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

exact: 7.0ms (1% of total)

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

Bogosity

explain181.0ms (2%)

Memory

-11.1MiB live, 277.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
80	-	-	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
6	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
4	-	-	`(+.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	74	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	74
↳	`(*.f64 y z)`	overflow	31
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	53
↳	`(*.f64 x z)`	overflow	28
↳	`(*.f64 x y)`	overflow	36
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	6	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	53
↳	`(*.f64 x z)`	overflow	28
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 y z)`	overflow	31
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	6	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	6
↳	`(*.f64 y z)`	underflow	27
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	8
↳	`(*.f64 x z)`	underflow	33
↳	`(*.f64 x y)`	underflow	23
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 x z)`	overflow	28

Confusion

	Predicted +	Predicted -
+	80	0
-	0	176

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	0
-	0	0	176

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	176
1	73
2	4
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 132 to 37 computations (72% saved)

Precisions

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

ival-mult: 15.0ms (61.4% of total)

ival-add: 4.0ms (16.4% of total)

ival-sqrt: 4.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess86.0ms (0.9%)

Memory

-10.3MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y z)

Compiler

Compiled 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(.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)

simplify5.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

localize25.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	0.6054687500000001	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.2070312500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	18.902592073930393	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

18.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

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

ival-mult: 6.0ms (58.1% of total)

ival-add: 2.0ms (19.4% of total)

ival-sqrt: 2.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

-4.9MiB live, 34.5MiB 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 (* 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 (.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
16.0ms	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))))
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))))
4.0ms	x	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	y	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
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))))

simplify231.0ms (2.5%)

Memory

7.6MiB live, 162.5MiB 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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rewrite241.0ms (2.6%)

Memory

-15.4MiB live, 152.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) z) (+.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x x) z) (-.f64 z y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (-.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (.f64 (+.f64 z y) x))
(.f64 (/.f64 (.f64 (+.f64 z y) x) x) (/.f64 (*.f64 (-.f64 y z) x) (-.f64 y z)))
(.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 z y))))
(.f64 (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 y z))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(*.f64 (+.f64 z y) x)
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 z y) x) (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 z y) x) (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 z y) x) (/.f64 (.f64 (-.f64 y z) x) (.f64 (-.f64 y z) x)))
(.f64 (.f64 (+.f64 z y) x) (.f64 (.f64 (-.f64 y z) x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 z y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z))
(/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 z (-.f64 z y) (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 z x) #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64))) (.f64 (.f64 x x) (fma.f64 y y (*.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 x x) z) y) #s(literal 3 binary64))))
(/.f64 (.f64 x (.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z))
(/.f64 (.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (.f64 y y)))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z))) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) x) (-.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 (-.f64 y z) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 x x) z) y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 y z) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 z x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (.f64 (-.f64 y z) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 y z) x)) (.f64 (.f64 (-.f64 y z) x) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 z x) #s(literal 4 binary64))) (.f64 (.f64 (-.f64 y z) x) (.f64 (.f64 x x) (fma.f64 y y (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (.f64 (.f64 (-.f64 y z) x) (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 z y)) (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)))
(/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 x x) z) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (-.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (*.f64 (-.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 z y)))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) z) (+.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (.f64 (+.f64 z y) x) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 (.f64 x x) y) x) (/.f64 y (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 y x) (/.f64 (.f64 (.f64 x x) y) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 (.f64 y y) x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(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))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 z x (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 y x (*.f64 z x))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(fma.f64 x z (*.f64 y x))
(fma.f64 x y (*.f64 z x))
(-.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 x (-.f64 z y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 z y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 y x) (.f64 z x))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (.f64 z y) (fma.f64 (+.f64 y x) z (.f64 y x)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64))))
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(fma.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 (+.f64 y x) z (.f64 y x)) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) z) (+.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 z y))
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) z) (-.f64 z y))) (*.f64 z y))
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (-.f64 (.f64 (.f64 (.f64 x x) z) (-.f64 z y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (*.f64 z y))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (.f64 (+.f64 z y) x) (.f64 z y))
(fma.f64 (/.f64 (.f64 (+.f64 z y) x) x) (/.f64 (.f64 (-.f64 y z) x) (-.f64 y z)) (*.f64 z y))
(fma.f64 (.f64 (+.f64 z y) (.f64 x x)) (/.f64 (+.f64 z y) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (*.f64 y x)))))
(fma.f64 (+.f64 y x) z (*.f64 y x))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x)))))
(fma.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 z y))) (.f64 z y))
(fma.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 x y))) (.f64 y x))
(fma.f64 (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (.f64 z y))
(fma.f64 (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 z y))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x) (.f64 z y))
(fma.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (-.f64 (.f64 z y) (.f64 z x)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (*.f64 y x))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 y z))) (.f64 z y))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 z y))
(fma.f64 (+.f64 z y) x (*.f64 z y))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64)) (.f64 z y))
(fma.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x)))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 z y) x) (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 z y))
(fma.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 z y) x) (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 z y))
(fma.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 x x) z) (-.f64 z y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z y))
(fma.f64 (.f64 (+.f64 z y) x) (/.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (*.f64 y x)))))
(fma.f64 (.f64 (+.f64 z y) x) (/.f64 (.f64 (-.f64 y z) x) (.f64 (-.f64 y z) x)) (.f64 z y))
(fma.f64 (.f64 (+.f64 z y) x) (.f64 (.f64 (-.f64 y z) x) (pow.f64 (.f64 (-.f64 y z) x) #s(literal -1 binary64))) (*.f64 z y))
(fma.f64 z (+.f64 y x) (*.f64 y x))
(fma.f64 z y (*.f64 (+.f64 z y) x))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(fma.f64 y (+.f64 x z) (*.f64 z x))
(fma.f64 y z (*.f64 (+.f64 z y) x))
(fma.f64 y x (*.f64 (+.f64 y x) z))
(fma.f64 x (/.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x)))))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 x y (*.f64 (+.f64 y x) z))
(-.f64 (fma.f64 z y (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z))) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 z y) (.f64 (+.f64 z y) x))) (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (-.f64 (.f64 z y) (.f64 (+.f64 z y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 y z) x) (.f64 z y))) (/.f64 (pow.f64 (.f64 (+.f64 y x) z) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 y z) x) (.f64 z y))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (*.f64 z y)))
(+.f64 (.f64 y (+.f64 z x)) (.f64 z x))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (-.f64 x y) (.f64 y x)))))
(+.f64 (.f64 (+.f64 y x) z) (.f64 y x))
(+.f64 (.f64 z y) (.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 z y) x) (.f64 z y))
(+.f64 (.f64 z x) (.f64 y (+.f64 z x)))
(+.f64 (.f64 y x) (.f64 (+.f64 y x) z))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (-.f64 x y) (.f64 y x))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 z (-.f64 x y) (.f64 y x))))
(/.f64 (.f64 #s(literal 2 binary64) (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (-.f64 x y) (.f64 y x)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (.f64 z y) #s(literal 2 binary64))))))
(.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 z (-.f64 x y) (*.f64 y x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 z y) (.f64 (+.f64 z y) x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 y x) z) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (-.f64 y z) x) (.f64 z y))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (.f64 (+.f64 y x) z) (-.f64 (.f64 (+.f64 y x) z) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 z (-.f64 x y) (*.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 z (-.f64 x y) (.f64 y x))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 z (-.f64 x y) (*.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z y) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/2 binary64)))

eval102.0ms (1.1%)

Memory: -5.0MiB live, 67.4MiB allocated
Compiler: Compiled 11 150 to 1 656 computations (85.1% saved)

prune42.0ms (0.5%)

Memory

7.8MiB live, 45.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	357	15	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	358	15	373

Accuracy

80.1%

Counts

373 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.9%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
	16.9%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 z y) (*.f64 (+.f64 z y) x)))))
▶	70.2%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	40.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (.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))))
▶	52.8%	(.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))))
	57.7%	(.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))))
	38.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
▶	35.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	3.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	37.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	34.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	3.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	31.3%	#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))
	35.9%	#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 500 to 374 computations (25.2% saved)

simplify629.0ms (6.8%)

Memory

14.0MiB live, 407.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 y x) z (*.f64 y x))
cost-diff	0	(.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
cost-diff	704	(*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)
cost-diff	0	(*.f64 (+.f64 y x) z)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
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 #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

67 258×	`lower-fma.f32`
67 254×	`lower-fma.f64`
5 904×	`lower-+.f32`
5 900×	`lower-+.f64`
4 310×	`lower-*.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	367
0	57	345
1	90	336
2	146	336
3	450	336
4	1901	336
5	3153	330
6	3371	330
7	4041	330
8	4670	330
9	4681	330
10	7486	330
11	7501	330
12	7502	330
0	8664	330

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

localize218.0ms (2.4%)

Memory

-32.5MiB live, 141.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
accuracy	0.166347509768442	(.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	0.7656167428166806	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	39.73065545486195	(pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/4 binary64))
accuracy	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))
accuracy	3.7520316441123165	(fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)
accuracy	7.349806274740924	(*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
accuracy	0.015625	(*.f64 (+.f64 y x) z)
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))
accuracy	31.841246797110227	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))
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	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	27.841280764811618	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.6688199058650265	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	0.7656167428166806	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	18.177112468911336	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))

Samples

102.0ms

256×

valid

Compiler

Compiled 320 to 31 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 31.0ms (59% of total)

ival-add: 7.0ms (13.3% of total)

ival-pow: 6.0ms (11.4% of total)

ival-div: 5.0ms (9.5% of total)

ival-sqrt: 3.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series352.0ms (3.8%)

Memory

21.2MiB live, 296.6MiB allocated

Counts

21 → 744

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 #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 y x) z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y x) z) (patch (.f64 (+.f64 y x) z) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) (patch (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (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 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) (patch (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	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))) (* 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)) (* (+ y x) z) (* (+ (* (+ (/ z x) 1) y) z) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ z x) 1) y) z))
40.0ms	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))) (* 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)) (* (+ y x) z) (* (+ (* (+ (/ z x) 1) y) z) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ z x) 1) y) z))
36.0ms	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))) (* 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)) (* (+ y x) z) (* (+ (* (+ (/ z x) 1) y) z) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ z x) 1) y) z))
33.0ms	y	@	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))) (* 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)) (* (+ y x) z) (* (+ (* (+ (/ z x) 1) y) z) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ z x) 1) y) z))
30.0ms	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))) (* 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)) (* (+ y x) z) (* (+ (* (+ (/ z x) 1) y) z) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ z x) 1) y) z))

simplify309.0ms (3.3%)

Memory

7.5MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 318×	`lower-*.f64`
6 318×	`lower-*.f32`
6 182×	`lower-fma.f64`
6 182×	`lower-fma.f32`
4 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1162	20891
1	4050	20383
0	8060	19596

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 742

Calls

Call 1

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

rewrite347.0ms (3.7%)

Memory

-25.9MiB live, 151.6MiB allocated

Rules

5 654×	`lower-fma.f32`
5 650×	`lower-fma.f64`
4 338×	`lower-*.f32`
4 322×	`lower-*.f64`
4 160×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	314
0	57	273
1	206	251
2	1366	251
0	8178	251

Stop Event

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

Counts

21 → 610

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

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

eval408.0ms (4.4%)

Memory: 41.3MiB live, 449.1MiB allocated
Compiler: Compiled 54 363 to 5 051 computations (90.7% saved)

prune88.0ms (0.9%)

Memory

-27.2MiB live, 240.2MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 708	16	1 724
Fresh	3	7	10
Picked	3	2	5
Done	0	0	0
Total	1 714	25	1 739

Accuracy

80.8%

Counts

1 739 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.5%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z y) z) y) (.f64 (.f64 z y) (.f64 z y)))) #s(literal 1/4 binary64)))
	4.1%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))) #s(literal 1/4 binary64)))
	19.9%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (.f64 (.f64 z y) (*.f64 z y))) #s(literal 1/4 binary64)))
	5.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (.f64 (.f64 z x) (*.f64 z x))) #s(literal 1/4 binary64)))
	34.0%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	31.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
▶	35.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z)))))
	40.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (.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))))
	24.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (-.f64 y x)))))
▶	35.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y))))))
▶	57.7%	(.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))))
	38.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	35.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
▶	24.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))))
	17.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 (/.f64 z x) y z)) x))))
	17.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 (/.f64 z x) y)) x))))
	23.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)))) x))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
▶	3.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	37.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	35.9%	#s(approx (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	30.9%	#s(approx (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (.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))
	34.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	3.4%	#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))))

Compiler

Compiled 766 to 605 computations (21% saved)

simplify309.0ms (3.3%)

Memory

6.2MiB live, 236.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))))
cost-diff	7488	(.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z)))))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y))))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y))))))
cost-diff	1088	(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y)))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)))
cost-diff	0	(.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))))
cost-diff	704	(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)

Rules

15 474×	`lower-fma.f32`
15 472×	`lower-fma.f64`
2 618×	`lower-*.f32`
2 600×	`lower-*.f64`
2 598×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	474
0	76	416
1	119	400
2	190	400
3	506	400
4	1487	400
5	4062	396
0	8330	376

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.1%)

Memory

-12.2MiB live, 230.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.599789205368086	(.f64 (.f64 (+.f64 x y) (-.f64 y x)) z)
accuracy	17.508894754874756	(.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))))
accuracy	31.841246797110227	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
accuracy	0.203125	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z)
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z))))
accuracy	18.177112468911336	(sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z)))
accuracy	30.846791292598663	#s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy	0.2109375	(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y)))
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
accuracy	31.841246797110227	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x y))))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
accuracy	59.077365375334935	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
accuracy	0.00390625	(+.f64 (/.f64 y z) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)
accuracy	8.043099676420107	(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)))

Samples

70.0ms

256×

valid

Compiler

Compiled 329 to 39 computations (88.1% saved)

Precisions

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

ival-mult: 20.0ms (41.5% of total)

ival-div: 11.0ms (22.8% of total)

ival-add: 10.0ms (20.8% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-pow: 3.0ms (6.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series146.0ms (1.6%)

Memory

26.8MiB live, 218.0MiB allocated

Counts

25 → 864

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	y	@	inf	((* (+ (* (+ (/ y z) 1) x) y) z) (* 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 (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (/ z (/ 1 (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (* (* (+ x y) (- y x)) z) (pow (- y x) -1)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (+ (/ y z) 1) x) y) (+ (/ y z) 1) (/ 1 (+ x y)) (/ (/ 1 (+ y x)) z) (* (* (+ x y) (- y x)) z))
3.0ms	z	@	-inf	((* (+ (* (+ (/ y z) 1) x) y) z) (* 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 (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (/ z (/ 1 (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (* (* (+ x y) (- y x)) z) (pow (- y x) -1)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (+ (/ y z) 1) x) y) (+ (/ y z) 1) (/ 1 (+ x y)) (/ (/ 1 (+ y x)) z) (* (* (+ x y) (- y x)) z))
3.0ms	y	@	-inf	((* (+ (* (+ (/ y z) 1) x) y) z) (* 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 (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (/ z (/ 1 (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (* (* (+ x y) (- y x)) z) (pow (- y x) -1)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (+ (/ y z) 1) x) y) (+ (/ y z) 1) (/ 1 (+ x y)) (/ (/ 1 (+ y x)) z) (* (* (+ x y) (- y x)) z))
3.0ms	x	@	-inf	((* (+ (* (+ (/ y z) 1) x) y) z) (* 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 (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (/ z (/ 1 (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (* (* (+ x y) (- y x)) z) (pow (- y x) -1)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (+ (/ y z) 1) x) y) (+ (/ y z) 1) (/ 1 (+ x y)) (/ (/ 1 (+ y x)) z) (* (* (+ x y) (- y x)) z))
2.0ms	z	@	0	((* (+ (* (+ (/ y z) 1) x) y) z) (* 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 (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (/ z (/ 1 (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (* (* (+ x y) (- y x)) z) (pow (- y x) -1)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (+ (/ y z) 1) x) y) (+ (/ y z) 1) (/ 1 (+ x y)) (/ (/ 1 (+ y x)) z) (* (* (+ x y) (- y x)) z))

simplify251.0ms (2.7%)

Memory

-0.2MiB live, 396.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 470×	`lower-*.f64`
7 470×	`lower-*.f32`
6 158×	`lower-fma.f64`
6 158×	`lower-fma.f32`
4 154×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1327	21885
1	4498	21369
0	8374	20555

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 862

Calls

Call 1

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

rewrite198.0ms (2.1%)

Memory

-23.3MiB live, 291.7MiB allocated

Rules

4 932×	`lower-fma.f32`
4 930×	`lower-fma.f64`
4 726×	`lower-*.f32`
4 708×	`lower-*.f64`
4 072×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	419
0	76	361
1	267	344
2	1687	344
0	8115	328

Stop Event

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

Counts

25 → 560

Calls

Call 1

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

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

eval241.0ms (2.6%)

Memory: 48.0MiB live, 306.1MiB allocated
Compiler: Compiled 36 806 to 4 093 computations (88.9% saved)

prune109.0ms (1.2%)

Memory

-48.2MiB live, 223.6MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 413	9	1 422
Fresh	1	17	18
Picked	4	1	5
Done	0	2	2
Total	1 418	29	1 447

Accuracy

80.9%

Counts

1 447 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x z)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x z))) #s(literal 1/4 binary64)))
	15.5%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z y) z) y) (.f64 (.f64 z y) (.f64 z y)))) #s(literal 1/4 binary64)))
▶	4.1%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))) #s(literal 1/4 binary64)))
	19.9%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (.f64 (.f64 z y) (*.f64 z y))) #s(literal 1/4 binary64)))
	21.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (pow.f64 (.f64 (+.f64 x y) z) #s(literal -1 binary64))) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
▶	34.0%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	31.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	34.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
	40.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (.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))))
	24.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (-.f64 y x)))))
	2.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))
▶	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 #s(literal 1 binary64) y))))))
▶	56.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z))))
	27.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 z (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 x y))))))
	29.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (-.f64 y x) (.f64 (+.f64 x y) (/.f64 z (-.f64 y x)))))))
	38.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	35.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	17.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 (/.f64 z x) y z)) x))))
	17.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 (/.f64 z x) y)) x))))
	23.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)))) x))))
▶	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	3.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	37.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	35.9%	#s(approx (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	30.9%	#s(approx (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (.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))
	34.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	3.4%	#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))))

Compiler

Compiled 885 to 695 computations (21.5% saved)

simplify146.0ms (1.6%)

Memory

11.5MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x))))
cost-diff	0	(pow.f64 #s(approx (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))) #s(literal 1/4 binary64)))
cost-diff	640	(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))
cost-diff	0	(/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))))
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) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))))
cost-diff	320	(.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))))))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
cost-diff	0	(*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z))))

Rules

12 102×	`lower-fma.f32`
12 098×	`lower-fma.f64`
3 828×	`lower-*.f32`
3 804×	`lower-*.f64`
1 918×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	572
0	83	552
1	140	552
2	250	548
3	710	540
4	2647	540
5	3644	540
6	4191	540
7	4266	540
8	4399	540
9	5125	540
0	8247	516

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.4%)

Memory

17.1MiB live, 213.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.7729903853300468	(.f64 (.f64 (+.f64 z x) z) y)
accuracy	11.934529659833387	(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))
accuracy	39.73065545486195	(pow.f64 #s(approx (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x)))) #s(literal 1/4 binary64))
accuracy	42.47173210020563	#s(approx (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z x) z) y) (.f64 (.f64 z x) (.f64 z x))))
accuracy	0.2109375	(/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))))
accuracy	31.841246797110227	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))
accuracy	33.145012276904254	#s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))))
accuracy	0.6688199058650265	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
accuracy	18.177112468911336	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))))
accuracy	32.67464479846611	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
accuracy	32.67464479846611	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
accuracy	0.05859375	(fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y)
accuracy	8.043099676420107	(*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z)
accuracy	18.902592073930393	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 #s(approx (+ (/ y z) 1) (/.f64 y z)) x y) z)))
accuracy	28.814577633770906	#s(approx (+ (/ y z) 1) (/.f64 y z))

Samples

103.0ms

256×

valid

Compiler

Compiled 367 to 46 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 30.0ms (36.7% of total)

ival-mult: 30.0ms (36.7% of total)

ival-add: 10.0ms (12.2% of total)

ival-pow: 6.0ms (7.3% of total)

ival-sqrt: 4.0ms (4.9% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series228.0ms (2.5%)

Memory

3.1MiB live, 482.0MiB allocated

Counts

25 → 864

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ z (/ 1 (+ x y))) (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (/ y z) 1) (+ (* (+ (/ y z) 1) x) y) (+ (* (+ y x) z) (* y x)) (/ 1 (+ x y)) (* (* (+ z x) z) y))
30.0ms	z	@	inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ z (/ 1 (+ x y))) (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (/ y z) 1) (+ (* (+ (/ y z) 1) x) y) (+ (* (+ y x) z) (* y x)) (/ 1 (+ x y)) (* (* (+ z x) z) y))
17.0ms	z	@	0	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ z (/ 1 (+ x y))) (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (/ y z) 1) (+ (* (+ (/ y z) 1) x) y) (+ (* (+ y x) z) (* y x)) (/ 1 (+ x y)) (* (* (+ z x) z) y))
17.0ms	z	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ z (/ 1 (+ x y))) (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (/ y z) 1) (+ (* (+ (/ y z) 1) x) y) (+ (* (+ y x) z) (* y x)) (/ 1 (+ x y)) (* (* (+ z x) z) y))
17.0ms	x	@	0	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (/ z (/ 1 (+ x y))) (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (/ y z) 1) (+ (* (+ (/ y z) 1) x) y) (+ (* (+ y x) z) (* y x)) (/ 1 (+ x y)) (* (* (+ z x) z) y))

simplify272.0ms (2.9%)

Memory

-7.1MiB live, 398.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 834×	`lower-*.f64`
6 834×	`lower-*.f32`
6 654×	`lower-fma.f64`
6 654×	`lower-fma.f32`
4 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1310	22472
1	4502	21861
0	8342	21009

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 862

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

rewrite195.0ms (2.1%)

Memory

12.5MiB live, 240.7MiB allocated

Rules

5 082×	`lower-*.f32`
5 060×	`lower-*.f64`
3 998×	`lower-/.f32`
3 986×	`lower-/.f64`
3 608×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	509
0	83	451
1	316	450
2	2157	450
0	8401	433

Stop Event

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

Counts

25 → 307

Calls

Call 1

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

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

eval284.0ms (3.1%)

Memory: -11.4MiB live, 298.0MiB allocated
Compiler: Compiled 31 367 to 3 249 computations (89.6% saved)

prune203.0ms (2.2%)

Memory

-5.0MiB live, 166.4MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 186	9	1 195
Fresh	2	19	21
Picked	2	3	5
Done	0	3	3
Total	1 190	34	1 224

Accuracy

80.9%

Counts

1 224 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.3%	(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))))
	5.7%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x z)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x z))) #s(literal 1/4 binary64)))
	19.9%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 z y)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 1/4 binary64)))
	14.8%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z y) z) y) (.f64 (.f64 z z) (.f64 y y)))) #s(literal 1/4 binary64)))
	3.6%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) #s(approx (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x)) z (.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) z))) #s(literal 1/4 binary64)))
	4.6%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) #s(approx (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (.f64 (.f64 (.f64 (.f64 (+.f64 z x) z) y) x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
	4.3%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) #s(approx (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (.f64 (.f64 (.f64 (.f64 z z) y) x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
	4.5%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) #s(approx (+ (* (* 2 x) (* (* (+ z x) z) y)) (* (* z x) (* z x))) (.f64 (.f64 (.f64 (.f64 x x) y) z) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
	21.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (pow.f64 (.f64 (+.f64 x y) z) #s(literal -1 binary64))) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
✓	34.0%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	37.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	31.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	34.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
	40.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (.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))))
	24.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (-.f64 y x)))))
	2.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))
✓	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 #s(literal 1 binary64) y))))))
	27.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 z (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 x y))))))
	29.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (-.f64 y x) (.f64 (+.f64 x y) (/.f64 z (-.f64 y x)))))))
	38.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	35.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	17.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (fma.f64 (/.f64 z x) y z)) x))))
	17.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 (/.f64 z x) y)) x))))
	23.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ z x) 1) y) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)))) x))))
	24.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 y z) x)) z))))
✓	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	3.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	37.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	32.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 #s(approx (+ (* (+ y x) z) (* y x)) (/.f64 z #s(approx (/ 1 (+ x y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) #s(literal 1/2 binary64))))
	35.9%	#s(approx (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	30.9%	#s(approx (* 2 (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4)) (.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))
	34.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	3.4%	#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))))

Compiler

Compiled 1 339 to 748 computations (44.1% saved)

regimes174.0ms (1.9%)

Memory

32.4MiB live, 150.6MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

54.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
52.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
24.0ms	y
14.0ms	x
13.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
72.2%	2	`x`
79.7%	2	`y`
76.6%	2	`z`
78.9%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
78.9%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
78.9%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes152.0ms (1.6%)

Memory

-15.3MiB live, 106.6MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
45.0ms	z
24.0ms	y
11.0ms	x
11.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
70.3%	1	`x`
70.3%	1	`z`
70.3%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
70.3%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
70.3%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
70.3%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes54.0ms (0.6%)

Memory

-8.6MiB live, 31.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

6 calls:

39.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
3.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
3.0ms	y
3.0ms	z
3.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
44.3%	4	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
44.3%	4	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
44.3%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
68.0%	2	`x`
70.5%	2	`y`
66.4%	2	`z`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.9%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.3%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes58.0ms (0.6%)

Memory

-13.7MiB live, 24.1MiB allocated

Accuracy

Total -22.2b remaining (-55.6%)

Threshold costs -22.2b (-55.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

49.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
2.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
2.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
37.6%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
37.6%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
37.6%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
37.6%	1	`z`
37.6%	1	`x`
37.6%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch72.0ms (0.8%)

Memory

6.1MiB live, 48.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
68.0ms	3.8283143365948547e+27	2.2114530483498887e+30

Samples

10.0ms	149×	0	invalid
8.0ms	128×	0	valid

Compiler

Compiled 329 to 265 computations (19.5% saved)

Precisions

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

ival-mult: 6.0ms (54.9% of total)

ival-add: 2.0ms (18.3% of total)

ival-sqrt: 2.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch69.0ms (0.7%)

Memory

3.8MiB live, 43.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
65.0ms	-1.3127120270954325e-289	7.411257183187722e-285

Samples

9.0ms	139×	0	invalid
8.0ms	128×	0	valid

Compiler

Compiled 161 to 177 computations (-9.9% saved)

Precisions

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

ival-mult: 6.0ms (56.3% of total)

ival-add: 2.0ms (18.8% of total)

ival-sqrt: 2.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch76.0ms (0.8%)

Memory

7.1MiB live, 46.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
72.0ms	-1.3127120270954325e-289	7.411257183187722e-285

Samples

52.0ms	159×	0	invalid
10.0ms	160×	0	valid

Compiler

Compiled 209 to 245 computations (-17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 44.0ms (81.1% of total)

ival-mult: 7.0ms (12.9% of total)

ival-sqrt: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch104.0ms (1.1%)

Memory

15.5MiB live, 52.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
100.0ms	-1.3127120270954325e-289	7.411257183187722e-285

Samples

82.0ms	144×	0	valid
9.0ms	139×	0	invalid

Compiler

Compiled 185 to 233 computations (-25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 79.0ms (93.8% of total)

ival-add: 3.0ms (3.6% of total)

ival-sqrt: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify36.0ms (0.4%)

Memory

-18.1MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary64-.f64`
8×	`+-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	60	215
1	80	215

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 500000000000000009942312419328 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y 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 (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))))
(if (<=.f64 y #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 -1426392257886359/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))

Outputs
(if (<=.f64 y #s(literal 500000000000000009942312419328 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y 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 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 500000000000000009942312419328 binary64)) (.f64 (sqrt.f64 (+.f64 (.f64 z y) (+.f64 (.f64 z x) (.f64 x y)))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 x y) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) 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 (sqrt.f64 (+.f64 (.f64 z y) (+.f64 (.f64 z x) (.f64 x y)))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 -1426392257886359/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 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 -1426392257886359/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64))

soundness338.0ms (3.6%)

Memory

-11.4MiB live, 303.5MiB allocated

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 172 to 106 computations (38.4% saved)

preprocess149.0ms (1.6%)

Memory: 11.1MiB live, 207.3MiB allocated
Compiler: Compiled 664 to 342 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze250.0ms (2.7%)

sample1.6s (17.3%)

explain181.0ms (2%)

preprocess86.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize25.0ms (0.3%)

series42.0ms (0.5%)

simplify231.0ms (2.5%)

rewrite241.0ms (2.6%)

eval102.0ms (1.1%)

prune42.0ms (0.5%)

simplify629.0ms (6.8%)

localize218.0ms (2.4%)

series352.0ms (3.8%)

simplify309.0ms (3.3%)

rewrite347.0ms (3.7%)

eval408.0ms (4.4%)

prune88.0ms (0.9%)

simplify309.0ms (3.3%)

localize98.0ms (1.1%)

series146.0ms (1.6%)

simplify251.0ms (2.7%)

rewrite198.0ms (2.1%)

eval241.0ms (2.6%)

prune109.0ms (1.2%)

simplify146.0ms (1.6%)

localize134.0ms (1.4%)

series228.0ms (2.5%)

simplify272.0ms (2.9%)

rewrite195.0ms (2.1%)

eval284.0ms (3.1%)

prune203.0ms (2.2%)

regimes174.0ms (1.9%)

regimes152.0ms (1.6%)

regimes54.0ms (0.6%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes58.0ms (0.6%)

bsearch72.0ms (0.8%)

bsearch69.0ms (0.7%)

bsearch76.0ms (0.8%)

bsearch104.0ms (1.1%)

simplify36.0ms (0.4%)

soundness338.0ms (3.6%)

preprocess149.0ms (1.6%)

end0.0ms (0%)

Profiling