Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.5%)

Memory

17.4MiB live, 92.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.5s (16.4%)

Memory

21.8MiB live, 1 560.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 952.0ms

ival-mult: 633.0ms (66.5% of total)

ival-sub: 207.0ms (21.7% of total)

ival-div: 62.0ms (6.5% of total)

ival-add: 36.0ms (3.8% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain164.0ms (1.8%)

Memory

-6.5MiB live, 210.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	1	(3.0036369779540136e-159 -8.10887838278175e-162 4.4562563642118374e-229)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
31	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	64	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	140
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	59
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	59
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	31	0
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	59
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	59
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	3	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	3
↳	`(*.f64 y y)`	underflow	64
↳	`(*.f64 x x)`	underflow	71
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	19
↳	`(*.f64 z z)`	underflow	53
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/o	1	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	140
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	59
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	59
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	86	1
-	0	169

Precision

1.0

Recall

0.9885057471264368

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	1
-	0	0	169

Precision?

1.0

Recall?

0.9885057471264368

Freqs

test

number	freq
0	170
1	73
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 120 to 37 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 26.0ms (57.3% of total)

ival-mult: 14.0ms (30.8% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess267.0ms (3%)

Memory

12.8MiB live, 355.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 972×	`lower-fma.f64`
12 972×	`lower-fma.f32`
3 732×	`lower-*.f32`
3 724×	`lower-*.f64`
2 414×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	147	135
2	489	135
3	2191	135
4	6834	117
0	11	15
0	18	15
1	32	15
2	69	15
3	136	15
4	295	15
5	630	15
6	1505	13
7	3475	13
8	7859	13
0	8033	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 18 to 11 computations (38.9% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify392.0ms (4.4%)

Memory

-16.9MiB live, 278.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12 972×	`lower-fma.f64`
12 972×	`lower-fma.f32`
3 732×	`lower-*.f32`
3 724×	`lower-*.f64`
2 414×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1505	47
7	3475	47
8	7859	47
0	8033	44

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.3%)

Memory

15.4MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	7.0429336591134994	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	15.946486088934192	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 6.0ms (58.8% of total)

ival-div: 2.0ms (19.6% of total)

ival-sub: 1.0ms (9.8% of total)

ival-add: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-35.0MiB live, 15.3MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	x	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	x	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	-inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

simplify189.0ms (2.1%)

Memory

42.2MiB live, 267.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
4 760×	`lower-*.f64`
4 760×	`lower-*.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1164
1	198	1164
2	568	1078
3	2180	1064
4	6035	1040
0	8166	954

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite374.0ms (4.2%)

Memory

-12.6MiB live, 305.2MiB allocated

Rules

5 846×	`lower-*.f32`
5 838×	`lower-*.f64`
5 096×	`lower-fma.f64`
5 096×	`lower-fma.f32`
4 708×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	68	39
2	569	39
0	8301	36

Stop Event

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

Counts

5 → 536

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(+.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))))
(+.f64 (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64))) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (*.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)))) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (.f64 (.f64 z z) (fma.f64 x x (fma.f64 y y (.f64 z z)))))) (.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (.f64 (.f64 z z) (fma.f64 x x (fma.f64 y y (.f64 z z)))))) (.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (fma.f64 x x (fma.f64 y y (.f64 z z)))) (.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 x x (fma.f64 y y (.f64 z z)))) (.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)))) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (.f64 (.f64 z z) (fma.f64 x x (fma.f64 y y (.f64 z z))))))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (.f64 (.f64 z z) (fma.f64 x x (fma.f64 y y (.f64 z z))))))))
(-.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y (.f64 z z))))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y (.f64 z z))))))
(-.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (.f64 (.f64 y y) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (.f64 z z))) (.f64 (.f64 y y) #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y y) #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))) (fma.f64 z (/.f64 z (.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))))))) (/.f64 (.f64 (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y y) #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))) (fma.f64 z (/.f64 z (.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 x x (fma.f64 y y (.f64 z z))))) (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 x x (fma.f64 y y (.f64 z z))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64)))))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 z z))))
(fma.f64 z (neg.f64 (/.f64 z (.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)))))) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)))))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64)))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 z z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x) (.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 y y) (.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 x z) (-.f64 x z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 x x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 x x (.f64 y y)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 x x (.f64 y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z)) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64)))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 z z))))
(fma.f64 (neg.f64 z) (/.f64 z (.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 (fma.f64 x x (.f64 y y))) (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (neg.f64 (fma.f64 x x (.f64 y y))) (/.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 x x (.f64 y y))) (/.f64 #s(literal -1/2 binary64) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 z z))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) y) #s(literal 1/2 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) y) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) y) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 z z))))
(fma.f64 (/.f64 z y) (neg.f64 (.f64 z #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (neg.f64 (/.f64 z y)) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 z z))))
(fma.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 z z) (.f64 y #s(literal -2 binary64))))
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(exp.f64 (log.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
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(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))
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eval108.0ms (1.2%)

Memory: -12.3MiB live, 108.2MiB allocated
Compiler: Compiled 26 909 to 1 618 computations (94% saved)

prune176.0ms (2%)

Memory

-8.7MiB live, 151.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	645	11	656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	646	11	657

Accuracy

100.0%

Counts

657 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64)) y) (.f64 y (.f64 (.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y))
	29.3%	(/.f64 (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (fma.f64 (+.f64 x y) (-.f64 x y) (.f64 z z))) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) (.f64 z z))))
▶	61.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
	47.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
▶	29.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	71.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) y))
	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
	64.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
▶	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
▶	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 366 to 204 computations (44.3% saved)

simplify301.0ms (3.4%)

Memory

31.9MiB live, 262.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

12 118×	`lower-fma.f32`
12 116×	`lower-fma.f64`
3 370×	`lower--.f32`
3 366×	`lower--.f64`
2 186×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	246
0	48	246
1	86	246
2	180	246
3	456	246
4	1348	246
5	3530	237
6	7142	237
0	8290	233

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.5%)

Memory

-16.0MiB live, 126.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 z x) (-.f64 x z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	15.946486088934192	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 z x) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
accuracy	19.532903331353623	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (+.f64 z x) (-.f64 x z)))
accuracy	0	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	8.128983854656548	(/.f64 (*.f64 z z) y)
accuracy	19.198925664872288	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	15.946486088934192	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	41.534266569232	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	41.457269574036644	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.09212875976844201	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

86.0ms

256×

valid

Compiler

Compiled 199 to 25 computations (87.4% saved)

Precisions

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

ival-mult: 13.0ms (53.1% of total)

ival-div: 4.0ms (16.3% of total)

ival-sub: 3.0ms (12.2% of total)

ival-add: 3.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series86.0ms (1%)

Memory

-25.1MiB live, 54.8MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	(* 1/2 y)
2.0ms	y	@	0	(/ (* z z) y)
2.0ms	x	@	0	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))
1.0ms	y	@	0	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))
1.0ms	z	@	0	(* 1/2 (+ (* (+ z x) (/ (- x z) y)) y))

simplify350.0ms (3.9%)

Memory

42.6MiB live, 299.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 560×	`lower-fma.f64`
13 560×	`lower-fma.f32`
3 910×	`lower-*.f64`
3 910×	`lower-*.f32`
3 728×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	6312
1	985	6100
2	3274	5781
0	8354	5446

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 505

Calls

Call 1

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

rewrite488.0ms (5.4%)

Memory

-20.3MiB live, 345.9MiB allocated

Rules

5 398×	`lower-/.f32`
5 390×	`lower-/.f64`
4 376×	`lower-fma.f32`
4 374×	`lower-fma.f64`
4 334×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	215
0	48	215
1	182	215
2	1497	215
0	8350	208

Stop Event

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

Counts

18 → 529

Calls

Call 1

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

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (+.f64 x z) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
(+.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64)))))
(fma.f64 y #s(literal 1/2 binary64) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) (.f64 (+.f64 x z) #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 (-.f64 x z) y) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 x z) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y))) (.f64 #s(literal 1/2 binary64) (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y)) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y))) (.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) (neg.f64 y)) (.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y)) (.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 (+.f64 x z) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z)))) (.f64 y (.f64 y y))))) (fma.f64 y (-.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 y y))))
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(.f64 (/.f64 (+.f64 x z) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z)))))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 z x))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) (/.f64 z y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 x z) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 z (+.f64 x z) (.f64 x x))) y) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (+.f64 x z) (.f64 x x))) y))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x z)) y) (/.f64 (/.f64 (.f64 z z) (+.f64 x z)) y))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (fma.f64 z (+.f64 x z) (.f64 x x)))) (/.f64 (.f64 z (.f64 z z)) (.f64 y (fma.f64 z (+.f64 x z) (.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x z))) (/.f64 (.f64 z z) (.f64 y (+.f64 x z))))
(-.f64 (/.f64 (.f64 x y) (.f64 y y)) (/.f64 (.f64 y z) (.f64 y y)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 (/.f64 x y) (/.f64 z y))))) (/.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 (/.f64 x y) (/.f64 z y))))))
(-.f64 (/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 z y))) (/.f64 (.f64 (/.f64 z y) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (neg.f64 (/.f64 z y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x z)) y))
(/.f64 (-.f64 x z) y)
(/.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) (+.f64 x z))
(/.f64 (neg.f64 (-.f64 x z)) (neg.f64 y))
(/.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) (.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 x y) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) y) (.f64 (.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x z) y) (.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 (/.f64 x y) (/.f64 z y)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) (/.f64 z y)) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z y) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (.f64 y (+.f64 x z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 x z))))
(/.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
(/.f64 (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) #s(literal 1 binary64)) (.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) y))
(/.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (+.f64 x z) y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (neg.f64 (.f64 y (fma.f64 z (+.f64 x z) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (.f64 y (+.f64 x z))))
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 z y) (/.f64 z y) (*.f64 (/.f64 x y) (/.f64 z y)))))
(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z y) (/.f64 z y))) (+.f64 (/.f64 x y) (/.f64 z y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (neg.f64 (+.f64 x z)))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x z) (.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y))
(/.f64 (-.f64 (.f64 x (/.f64 y z)) (.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z)))
(/.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 y z)) (.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 y z)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (/.f64 y x) (neg.f64 z))) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 y z)) (.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y))
(/.f64 (neg.f64 (-.f64 (.f64 x y) (.f64 y z))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) y)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x z) y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 z y) (/.f64 z y) (*.f64 (/.f64 x y) (/.f64 z y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z y) (/.f64 z y)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 z y))))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (pow.f64 (neg.f64 (/.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (.f64 (neg.f64 (/.f64 z y)) (neg.f64 (/.f64 z y))) (.f64 (/.f64 x y) (neg.f64 (/.f64 z y))))))
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
(*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) (+.f64 x z)))
(.f64 (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (neg.f64 (-.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (-.f64 x z)))))
(.f64 (-.f64 (.f64 x y) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) y)))
(.f64 (.f64 (.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) y)))
(*.f64 (neg.f64 (neg.f64 (-.f64 x z))) (/.f64 #s(literal 1 binary64) y))
(.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 (/.f64 x y) (/.f64 z y))))))
(.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z y) (/.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 z y))))
(.f64 (.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z)))))
(.f64 (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) (+.f64 x z)))
(.f64 (pow.f64 (/.f64 y (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x))))
(.f64 (/.f64 (+.f64 x z) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 (/.f64 (-.f64 x z) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 z x))) (/.f64 (/.f64 (-.f64 x z) y) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(.f64 (/.f64 (-.f64 x z) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z)))))
(.f64 (/.f64 (-.f64 x z) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(.f64 (/.f64 (-.f64 x z) (.f64 (+.f64 x z) (-.f64 z x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(.f64 (/.f64 (-.f64 x z) (.f64 (+.f64 x z) (-.f64 z x))) (/.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(.f64 (/.f64 (/.f64 (-.f64 x z) y) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(.f64 (/.f64 (/.f64 (-.f64 x z) y) (.f64 (+.f64 x z) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(.f64 (/.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) y) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))

eval162.0ms (1.8%)

Memory: 29.6MiB live, 292.9MiB allocated
Compiler: Compiled 23 737 to 1 958 computations (91.8% saved)

prune213.0ms (2.4%)

Memory

-31.3MiB live, 277.8MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 095	8	1 103
Fresh	3	3	6
Picked	1	4	5
Done	0	0	0
Total	1 099	15	1 114

Accuracy

100.0%

Counts

1 114 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
	61.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	29.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	61.8%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 (+.f64 x z) (-.f64 x z))))
▶	29.7%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	69.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
▶	35.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
	81.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y (+.f64 x z))) y)))
▶	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
	98.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)))
	64.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
✓	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 385 to 223 computations (42.1% saved)

simplify190.0ms (2.1%)

Memory

2.5MiB live, 273.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 220×	`lower-fma.f32`
8 216×	`lower-fma.f64`
3 124×	`lower--.f32`
3 120×	`lower--.f64`
2 174×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	273
0	61	274
1	114	272
2	241	268
3	718	268
4	2518	268
5	3804	256
6	7015	256
0	8121	252

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1%)

Memory

-5.2MiB live, 154.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 y z) (-.f64 y z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	15.946486088934192	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
accuracy	17.252465828826296	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (+.f64 y z) (-.f64 y z)))
accuracy	0	(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.060878759768442016	(fma.f64 (neg.f64 z) (/.f64 z y) y)
accuracy	19.198925664872288	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	15.980341590824064	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
accuracy	41.534266569232	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(/.f64 z y)
accuracy	0.00390625	(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
accuracy	0.1328125	(.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))
accuracy	40.96835394644339	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)))
accuracy	0.01171875	(/.f64 y (-.f64 x z))
accuracy	0.09212875976844201	(fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Samples

55.0ms

256×

valid

Compiler

Compiled 222 to 35 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.8% of total)

ival-div: 8.0ms (21.7% of total)

ival-add: 6.0ms (16.3% of total)

ival-sub: 3.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.4%)

Memory

21.3MiB live, 58.9MiB allocated

Counts

22 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* -1/2 (/ z y))
0.0ms	y	@	0	(* -1/2 (/ z y))
0.0ms	y	@	0	(/ y (- x z))
0.0ms	x	@	inf	(/ y (- x z))
0.0ms	y	@	-inf	(/ y (- x z))

simplify309.0ms (3.5%)

Memory

14.2MiB live, 407.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 322×	`lower-fma.f64`
10 322×	`lower-fma.f32`
3 850×	`lower-*.f64`
3 850×	`lower-*.f32`
3 386×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	6974
1	1325	6782
2	4275	6538
0	8366	6185

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 601

Calls

Call 1

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

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

rewrite411.0ms (4.6%)

Memory

8.7MiB live, 442.4MiB allocated

Rules

5 504×	`lower-/.f32`
5 494×	`lower-/.f64`
4 586×	`lower-fma.f32`
4 582×	`lower-fma.f64`
3 952×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	244
0	61	241
1	228	236
2	1751	236
0	8577	229

Stop Event

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

Counts

22 → 604

Calls

Call 1

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

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

eval210.0ms (2.3%)

Memory: -0.8MiB live, 381.4MiB allocated
Compiler: Compiled 24 032 to 2 284 computations (90.5% saved)

prune274.0ms (3.1%)

Memory

-2.8MiB live, 516.8MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 249	4	1 253
Fresh	1	5	6
Picked	1	4	5
Done	0	4	4
Total	1 251	17	1 268

Accuracy

100.0%

Counts

1 268 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
▶	61.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	29.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	33.3%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z))))
✓	29.7%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
▶	35.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z)))
✓	69.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	35.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
	81.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y (+.f64 x z))) y)))
	63.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 y x))) y)))
▶	98.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)))
	64.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
	65.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ 1 (/ y (- x z)))) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))))
✓	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 381 to 220 computations (42.3% saved)

simplify229.0ms (2.6%)

Memory

-0.9MiB live, 428.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z))
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z)))
cost-diff	0	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
cost-diff	896	(fma.f64 z (/.f64 x z) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z)))
cost-diff	384	(/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z))
cost-diff	0	(*.f64 z (neg.f64 z))
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
cost-diff	0	(fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)))
cost-diff	896	(fma.f64 z (/.f64 x z) z)

Rules

12 776×	`lower-fma.f32`
12 772×	`lower-fma.f64`
3 848×	`lower-*.f32`
3 832×	`lower-*.f64`
1 912×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	329
0	60	323
1	112	323
2	196	323
3	351	315
4	756	299
5	1555	299
6	3699	293
0	8277	286

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.3%)

Memory

-7.7MiB live, 151.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ z x) (fma.f64 z (/.f64 x z) z))
accuracy	5.413388201946889	(fma.f64 z (/.f64 x z) z)
accuracy	15.946486088934192	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z))) (.f64 y #s(literal 2 binary64)))
accuracy	19.532903331353623	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (-.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.14768498016428752	(/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z))
accuracy	40.96835394644339	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z)))
accuracy	0	(*.f64 z (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	15.980341590824064	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z))))
accuracy	40.101592163446384	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 z (neg.f64 z)))
accuracy	0	(.f64 (.f64 z z) #s(literal -1/2 binary64))
accuracy	0	(*.f64 z z)
accuracy	8.11733106146658	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
accuracy	40.96835394644339	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
accuracy	0	#s(approx (+ z x) (fma.f64 z (/.f64 x z) z))
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.09212875976844201	(fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) (/.f64 (-.f64 x z) y) y)
accuracy	5.413388201946889	(fma.f64 z (/.f64 x z) z)

Samples

78.0ms

256×

valid

Compiler

Compiled 224 to 34 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 21.0ms (52.1% of total)

ival-div: 11.0ms (27.3% of total)

ival-add: 4.0ms (9.9% of total)

ival-sub: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series71.0ms (0.8%)

Memory

-22.8MiB live, 54.1MiB allocated

Counts

22 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
29.0ms	z	@	inf	(* z -1/2)
0.0ms	x	@	-inf	(+ (* z (/ x z)) z)
0.0ms	z	@	-inf	(* z -1/2)
0.0ms	y	@	-inf	(/ y z)
0.0ms	y	@	0	(/ y z)

simplify288.0ms (3.2%)

Memory

13.6MiB live, 453.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 708×	`lower-fma.f64`
14 708×	`lower-fma.f32`
3 760×	`lower-*.f64`
3 760×	`lower-*.f32`
3 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	6357
1	923	6151
2	3097	5844
0	8205	5518

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 562

Calls

Call 1

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

rewrite339.0ms (3.8%)

Memory

-7.3MiB live, 471.8MiB allocated

Rules

5 146×	`lower-/.f32`
5 132×	`lower-/.f64`
4 400×	`lower-fma.f32`
4 396×	`lower-fma.f64`
4 138×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	281
0	60	281
1	224	281
2	1544	273
0	8241	258

Stop Event

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

Counts

22 → 586

Calls

Call 1

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

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

eval183.0ms (2%)

Memory: 41.3MiB live, 338.9MiB allocated
Compiler: Compiled 22 942 to 1 742 computations (92.4% saved)

prune216.0ms (2.4%)

Memory

-37.3MiB live, 376.1MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	1 230	2	1 232
Fresh	0	4	4
Picked	3	2	5
Done	0	8	8
Total	1 233	16	1 249

Accuracy

100.0%

Counts

1 249 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
✓	29.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	29.7%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y))
✓	35.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z)))
✓	69.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
✓	35.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
	81.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y (+.f64 x z))) y)))
	63.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 y x))) y)))
	62.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (+ z x) (fma.f64 z (/.f64 x z) z)) #s(approx (/ (- x z) y) (/.f64 x y)) y)))
	64.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
✓	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))))
	65.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ z x) (/ 1 (/ y (- x z)))) y) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))))
✓	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 561 to 221 computations (60.6% saved)

regimes59.0ms (0.7%)

Memory

19.4MiB live, 133.4MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	(*.f64 x x)
11.0ms	x
11.0ms	z
8.0ms	y
7.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes35.0ms (0.4%)

Memory

-1.1MiB live, 85.5MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

8.0ms	y
6.0ms	(*.f64 x x)
5.0ms	x
5.0ms	z
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.1%	2	`x`
89.6%	2	`y`
85.7%	2	`z`
96.2%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
85.1%	2	`(*.f64 x x)`
85.7%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes4.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
92.1%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes18.0ms (0.2%)

Memory

-29.1MiB live, 48.6MiB allocated

Counts

6 → 5

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
3.0ms	z
3.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
52.7%	3	`x`
52.7%	3	`(*.f64 x x)`
54.3%	2	`(*.f64 z z)`
54.3%	2	`z`
61.3%	4	`y`
70.9%	5	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
70.9%	5	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
66.6%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes9.0ms (0.1%)

Memory

-14.4MiB live, 24.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
35.2%	1	`x`
35.2%	1	`(*.f64 x x)`
35.2%	1	`(*.f64 z z)`
35.2%	1	`z`
35.2%	1	`y`
35.2%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	5.5629768520208685e-157

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.491929598805228e-77	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.845659817501991e+300	+inf
0.0ms	1.2056178432717503e+138	6.734134331154411e+143
0.0ms	-2.491929598805228e-77	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.845659817501991e+300	+inf
0.0ms	1.2056178432717503e+138	6.734134331154411e+143
0.0ms	-2.491929598805228e-77	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.491929598805228e-77	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

simplify12.0ms (0.1%)

Memory

32.7MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	673
1	83	673
2	90	673
3	93	673
4	94	673

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) (.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64))))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64))))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))

soundness739.0ms (8.3%)

Memory

-14.4MiB live, 618.8MiB allocated

Rules

13 560×	`lower-fma.f64`
13 560×	`lower-fma.f32`
7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
5 398×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	6312
1	985	6100
2	3274	5781
0	8354	5446
0	72	1164
1	198	1164
2	568	1078
3	2180	1064
4	6035	1040
0	8166	954
0	32	215
0	48	215
1	182	215
2	1497	215
0	8350	208

Stop Event

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

Compiler

Compiled 518 to 146 computations (71.8% saved)

preprocess141.0ms (1.6%)

Memory: 1.8MiB live, 216.7MiB allocated
Remove: (negabs y)
Compiler: Compiled 1 320 to 418 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.5%)

sample1.5s (16.4%)

explain164.0ms (1.8%)

preprocess267.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify392.0ms (4.4%)

localize30.0ms (0.3%)

series15.0ms (0.2%)

simplify189.0ms (2.1%)

rewrite374.0ms (4.2%)

eval108.0ms (1.2%)

prune176.0ms (2%)

simplify301.0ms (3.4%)

localize136.0ms (1.5%)

series86.0ms (1%)

simplify350.0ms (3.9%)

rewrite488.0ms (5.4%)

eval162.0ms (1.8%)

prune213.0ms (2.4%)

simplify190.0ms (2.1%)

localize94.0ms (1%)

series35.0ms (0.4%)

simplify309.0ms (3.5%)

rewrite411.0ms (4.6%)

eval210.0ms (2.3%)

prune274.0ms (3.1%)

simplify229.0ms (2.6%)

localize115.0ms (1.3%)

series71.0ms (0.8%)

simplify288.0ms (3.2%)

rewrite339.0ms (3.8%)

eval183.0ms (2%)

prune216.0ms (2.4%)

regimes59.0ms (0.7%)

regimes35.0ms (0.4%)

regimes4.0ms (0%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness739.0ms (8.3%)

preprocess141.0ms (1.6%)

end0.0ms (0%)

Profiling