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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze65.0ms (0.9%)

Memory

-11.5MiB live, 33.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample1.2s (15.8%)

Memory

15.5MiB live, 1 496.9MiB allocated

Samples

887.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

ival-mult: 309.0ms (66.4% of total)

ival-div: 61.0ms (13.1% of total)

ival-sub: 43.0ms (9.2% of total)

ival-add: 38.0ms (8.2% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain165.0ms (2.2%)

Memory

-32.1MiB live, 244.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
57	-	1	(4.75738426956624e-184 2.1131562493704737e-160 1.3811956679320515e-288)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
17	-	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	54	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	134
↳	`(*.f64 y y)`	overflow	51
↳	`(*.f64 x x)`	overflow	50
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	87
↳	`(*.f64 z z)`	overflow	64
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	17	0
↳	`(*.f64 y y)`	overflow	51
↳	`(*.f64 x x)`	overflow	50
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	87
↳	`(*.f64 z z)`	overflow	64
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	2
↳	`(*.f64 y y)`	underflow	63
↳	`(*.f64 x x)`	underflow	68
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	11
↳	`(*.f64 z z)`	underflow	58

Confusion

	Predicted +	Predicted -
+	66	1
-	0	189

Precision

1.0

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	1
-	0	0	189

Precision?

1.0

Recall?

0.9850746268656716

Freqs

test

number	freq
0	190
1	59
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 120 to 37 computations (69.2% saved)

Precisions

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

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

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

ival-sub: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess251.0ms (3.3%)

Memory

30.8MiB live, 261.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 486×	`lower-fma.f64`
6 486×	`lower-fma.f32`
1 866×	`lower-*.f32`
1 862×	`lower-*.f64`
1 207×	`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 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)))

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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(/.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)

simplify194.0ms (2.6%)

Memory

-0.7MiB live, 191.5MiB 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

6 486×	`lower-fma.f64`
6 486×	`lower-fma.f32`
1 866×	`lower-*.f32`
1 862×	`lower-*.f64`
1 207×	`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 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)))
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize50.0ms (0.7%)

Memory

-11.2MiB live, 73.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	3.8437314224718526	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	13.112396662665105	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

22.0ms

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 (58.1% of total)

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

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

4 → 108

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>) () ())

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

Calls

27 calls:

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

simplify157.0ms (2.1%)

Memory

1.7MiB live, 200.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 744×	`lower-fma.f64`
3 744×	`lower-fma.f32`
2 376×	`lower-*.f64`
2 376×	`lower-*.f32`
838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1128
1	196	1128
2	566	1042
3	2179	1028
4	6045	1004
0	8180	918

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)

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

rewrite210.0ms (2.8%)

Memory

-13.8MiB live, 373.8MiB allocated

Rules

2 923×	`lower-*.f32`
2 919×	`lower-*.f64`
2 548×	`lower-fma.f64`
2 548×	`lower-fma.f32`
2 354×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	68	36
2	569	36
0	8301	33

Stop Event

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

Counts

4 → 522

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)

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

eval98.0ms (1.3%)

Memory: 8.4MiB live, 175.2MiB allocated
Compiler: Compiled 26 465 to 1 607 computations (93.9% saved)

prune154.0ms (2.1%)

Memory

-20.1MiB live, 139.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	621	9	630
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	622	9	631

Accuracy

100.0%

Counts

631 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
	64.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 x z))) (.f64 y #s(literal 2 binary64)))
▶	26.1%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	77.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
▶	77.5%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
▶	73.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)))
	58.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))
	39.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 244 to 150 computations (38.5% saved)

simplify150.0ms (2%)

Memory

33.1MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

6 775×	`lower-fma.f32`
6 773×	`lower-fma.f64`
1 202×	`lower-*.f32`
1 197×	`lower-*.f64`
941×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
0	47	206
1	80	202
2	160	202
3	427	202
4	1306	202
5	3336	198
6	6624	198
0	8071	194

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.1%)

Memory

-24.5MiB live, 173.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x x)
accuracy	1.4999834856333611	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	13.159271662665105	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.0703125	(fma.f64 (/.f64 (neg.f64 z) y) z y)
accuracy	17.224604490011142	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	13.112396662665105	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	43.74083078040266	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	43.32109443361545	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.11328125	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
accuracy	1.4999834856333611	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	13.25395617157441	(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))

Samples

47.0ms

256×

valid

Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (44.1% of total)

ival-div: 8.0ms (27.2% of total)

ival-add: 5.0ms (17% of total)

ival-sub: 2.0ms (6.8% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

24.1MiB live, 62.2MiB allocated

Counts

17 → 456

Calls

Call 1

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

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

114 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* (+ (* (/ (neg z) y) z) y) 1/2)
2.0ms	z	@	0	(/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x))))
1.0ms	y	@	0	(/ y (+ (* (+ y z) (- y z)) (* x x)))
1.0ms	z	@	inf	(/ y (+ (* (+ y z) (- y z)) (* x x)))
1.0ms	z	@	0	(/ y (+ (* (+ y z) (- y z)) (* x x)))

simplify140.0ms (1.9%)

Memory

18.1MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 682×	`lower-fma.f64`
1 682×	`lower-fma.f32`
1 513×	`lower-*.f64`
1 513×	`lower-*.f32`
682×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	6172
1	1462	5498
2	6128	5254
0	8354	4978

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 444

Calls

Call 1

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

rewrite344.0ms (4.6%)

Memory

5.4MiB live, 315.5MiB allocated

Rules

2 588×	`lower-fma.f32`
2 586×	`lower-fma.f64`
2 402×	`lower-/.f32`
2 397×	`lower-/.f64`
1 999×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	47	165
1	179	161
2	1423	161
0	8284	161

Stop Event

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

Counts

17 → 956

Calls

Call 1

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

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

eval374.0ms (5%)

Memory: -31.0MiB live, 338.1MiB allocated
Compiler: Compiled 54 566 to 2 969 computations (94.6% saved)

prune331.0ms (4.4%)

Memory

9.3MiB live, 285.3MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 752	8	1 760
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	1 757	12	1 769

Accuracy

100.0%

Counts

1 769 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 x z))) (.f64 y #s(literal 2 binary64)))
	39.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
	26.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
	26.1%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	58.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	73.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
▶	28.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
	42.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64)))
	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (neg z) y) z) y) (.f64 (fma.f64 z (/.f64 z (.f64 y y)) #s(literal -1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)))
✓	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))
▶	39.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	60.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (neg z) y) z) y) 1/2) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y)))

Compiler

Compiled 291 to 181 computations (37.8% saved)

simplify235.0ms (3.1%)

Memory

15.2MiB live, 162.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 447×	`lower-fma.f32`
9 446×	`lower-fma.f64`
1 748×	`lower-*.f32`
1 739×	`lower-*.f64`
1 374×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	240
0	55	240
1	101	240
2	202	240
3	378	240
4	774	240
5	1774	232
6	3909	232
0	8212	226

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

localize161.0ms (2.1%)

Memory

-14.0MiB live, 129.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 x z) (+.f64 x z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	13.112396662665105	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 x z))) (.f64 y #s(literal 2 binary64)))
accuracy	17.962779768006076	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 x z)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.06640625	(fma.f64 (/.f64 x y) x y)
accuracy	26.66352956226873	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.12890625	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
accuracy	0.1875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	45.943636010281146	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
accuracy	0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	6.7382361358413725	(/.f64 (*.f64 z z) y)
accuracy	36.990085576065404	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0	(-.f64 y (*.f64 (/.f64 z y) z))
accuracy	0	(.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))
accuracy	0.15234375	(*.f64 (/.f64 z y) z)
accuracy	17.224604490011142	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))

Samples

122.0ms

256×

valid

Compiler

Compiled 193 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 37.0ms (59.9% of total)

ival-mult: 17.0ms (27.5% of total)

ival-sub: 3.0ms (4.9% of total)

ival-add: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.7%)

Memory

-22.1MiB live, 53.9MiB allocated

Counts

21 → 540

Calls

Call 1

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

135 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	(* (* (/ 1/2 y) x) x)
1.0ms	z	@	-inf	(- x z)
1.0ms	y	@	0	(* (* (/ 1/2 y) x) x)
1.0ms	x	@	inf	(* (* (/ 1/2 y) x) x)
0.0ms	y	@	inf	(* (* (/ 1/2 y) x) x)

simplify255.0ms (3.4%)

Memory

5.6MiB live, 245.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 565×	`lower-fma.f64`
6 565×	`lower-fma.f32`
2 867×	`lower-*.f64`
2 867×	`lower-*.f32`
1 282×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	5504
1	546	5440
2	1575	5328
3	7667	5298
0	8191	5051

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 531

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

rewrite357.0ms (4.7%)

Memory

10.8MiB live, 164.1MiB allocated

Rules

2 658×	`lower-/.f32`
2 653×	`lower-/.f64`
2 410×	`lower-fma.f32`
2 409×	`lower-fma.f64`
2 149×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	218
0	55	218
1	197	218
2	1480	218
0	8283	212

Stop Event

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

Counts

21 → 668

Calls

Call 1

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

eval245.0ms (3.3%)

Memory: 28.1MiB live, 257.4MiB allocated
Compiler: Compiled 23 052 to 1 988 computations (91.4% saved)

prune236.0ms (3.1%)

Memory

14.8MiB live, 367.5MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1 195	4	1 199
Fresh	3	3	6
Picked	0	5	5
Done	0	1	1
Total	1 198	13	1 211

Accuracy

100.0%

Counts

1 211 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 x z))) (.f64 y #s(literal 2 binary64)))
	26.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))))
▶	26.1%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	28.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) x))))
▶	39.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
✓	58.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	42.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
✓	73.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
✓	28.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
✓	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))
✓	39.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (* (/ z y) z)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64)) y)))
	60.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (neg z) y) z) y) 1/2) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y)))

Compiler

Compiled 247 to 153 computations (38.1% saved)

simplify140.0ms (1.9%)

Memory

-9.1MiB live, 199.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) x))))
cost-diff	384	(/.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 y (*.f64 z z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))
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 #s(literal -1/2 binary64))
cost-diff	0	(/.f64 z y)
cost-diff	0	(.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (.f64 y y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- y (* (/ z y) z)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (* (/ z y) z)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64)) y)))
cost-diff	512	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64)) y)

Rules

3 037×	`lower-fma.f32`
3 036×	`lower-fma.f64`
1 056×	`lower-*.f32`
1 047×	`lower-*.f64`
923×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	261
0	57	261
1	107	261
2	210	261
3	394	261
4	890	252
5	2348	244
6	5068	244
0	8165	238

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

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

localize97.0ms (1.3%)

Memory

-3.6MiB live, 226.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.09765625	(/.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
accuracy	45.943636010281146	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) x))))
accuracy	0	(*.f64 z z)
accuracy	0.3344443959439706	(/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))
accuracy	6.848900811287227	(/.f64 y (*.f64 z z))
accuracy	36.990085576065404	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	13.159271662665105	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
accuracy	43.74083078040266	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(/.f64 z y)
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.15234375	(.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))
accuracy	36.990085576065404	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
accuracy	0.9776882972219436	(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (.f64 y y)) #s(literal 1/2 binary64))
accuracy	4.949312699992661	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64)) y)
accuracy	6.958104875581685	(/.f64 z (*.f64 y y))
accuracy	17.224604490011142	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (* (/ z y) z)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64)) y)))

Samples

59.0ms

256×

valid

Compiler

Compiled 197 to 33 computations (83.2% saved)

Precisions

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

ival-mult: 18.0ms (48.1% of total)

ival-div: 14.0ms (37.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series66.0ms (0.9%)

Memory

-13.0MiB live, 100.8MiB allocated

Counts

21 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(/ y (* z z))
6.0ms	y	@	-inf	(/ y (* z z))
5.0ms	z	@	-inf	(/ z (* y y))
1.0ms	z	@	inf	(* (+ (* (* -1/2 z) (/ z (* y y))) 1/2) y)
1.0ms	z	@	0	(* (+ (* (* -1/2 z) (/ z (* y y))) 1/2) y)

simplify197.0ms (2.6%)

Memory

-19.4MiB live, 286.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 160×	`lower-fma.f64`
5 160×	`lower-fma.f32`
2 229×	`lower-*.f64`
2 229×	`lower-*.f32`
758×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	5008
1	250	5008
2	683	4716
3	2109	4500
4	6673	4404
0	8391	4176

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

rewrite198.0ms (2.6%)

Memory

8.9MiB live, 237.9MiB allocated

Rules

2 471×	`lower-fma.f32`
2 470×	`lower-fma.f64`
2 214×	`lower-*.f32`
2 205×	`lower-*.f64`
2 012×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	239
0	57	239
1	208	239
2	1390	235
0	8270	225

Stop Event

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

Counts

21 → 452

Calls

Call 1

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

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

eval175.0ms (2.3%)

Memory: 2.6MiB live, 233.0MiB allocated
Compiler: Compiled 13 085 to 1 005 computations (92.3% saved)

prune166.0ms (2.2%)

Memory

24.0MiB live, 274.3MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	965	3	968
Fresh	2	0	2
Picked	2	3	5
Done	0	6	6
Total	969	12	981

Accuracy

100.0%

Counts

981 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 x z))) (.f64 y #s(literal 2 binary64)))
✓	26.1%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
	28.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
✓	39.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
✓	58.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	42.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
✓	73.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
✓	28.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
✓	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))
✓	39.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	60.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (* (/ z y) z)) 1/2) (.f64 #s(approx (+ ( (* -1/2 z) (/ z (* y y))) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z z) #s(literal 1/2 binary64))) y)))
	33.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (* (/ z y) z)) 1/2) (.f64 #s(approx (+ ( (* -1/2 z) (/ z (* y y))) 1/2) (.f64 (.f64 (/.f64 z (*.f64 y y)) z) #s(literal -1/2 binary64))) y)))

Compiler

Compiled 416 to 170 computations (59.1% saved)

regimes50.0ms (0.7%)

Memory

-2.1MiB live, 114.1MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

12.0ms	(*.f64 z z)
8.0ms	y
8.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
7.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
91.4%	3	`x`
93.5%	2	`y`
92.3%	3	`z`
97.5%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
91.4%	3	`(*.f64 x x)`
92.3%	3	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes3.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

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
95.4%	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)

regimes22.0ms (0.3%)

Memory

-34.4MiB live, 45.5MiB allocated

Counts

7 → 4

Calls

Call 1

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

Calls

6 calls:

6.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
56.7%	2	`(*.f64 x x)`
60.6%	4	`x`
59.7%	2	`z`
59.7%	2	`(*.f64 z z)`
62.4%	3	`y`
78.9%	4	`(/.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)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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
71.5%	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)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#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 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
67.1%	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)

regimes9.0ms (0.1%)

Memory

-7.9MiB live, 30.6MiB 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 y #s(literal 1/2 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
32.3%	1	`(*.f64 x x)`
32.3%	1	`x`
32.3%	1	`z`
32.3%	1	`(*.f64 z z)`
32.3%	1	`y`
32.3%	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

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.0565629750387494e-160

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0565629750387494e-160

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.255534305016476e+152	1.8976487772325228e+190
0.0ms	0.0	1.0565629750387494e-160

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.0565629750387494e-160

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.3267195337824395e-114	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

simplify12.0ms (0.2%)

Memory

0.3MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	497
1	78	497
2	97	497
3	107	497
4	113	497
5	114	497

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 (-.f64 y (.f64 (/.f64 z y) z)) #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 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #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 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x 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 (.f64 z (/.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 z (/.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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 z (/.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 (.f64 z (/.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 -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #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 y #s(literal 1/2 binary64)))

Outputs
(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 (-.f64 y (.f64 (/.f64 z y) z)) #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 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 (/.f64 z y) z))))))
(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 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x 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 (.f64 z (/.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))))))
(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 (.f64 z (/.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 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #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 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z 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)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness675.0ms (9%)

Memory

21.3MiB live, 533.6MiB allocated

Rules

3 744×	`lower-fma.f64`
3 744×	`lower-fma.f32`
2 588×	`lower-fma.f32`
2 586×	`lower-fma.f64`
2 402×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	6172
1	1462	5498
2	6128	5254
0	8354	4978
0	30	165
0	47	165
1	179	161
2	1423	161
0	8284	161
0	71	1128
1	196	1128
2	566	1042
3	2179	1028
4	6045	1004
0	8180	918

Stop Event

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

Compiler

Compiled 404 to 141 computations (65.1% saved)

preprocess160.0ms (2.1%)

Memory

0.6MiB live, 242.9MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 1 710 to 532 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze65.0ms (0.9%)

sample1.2s (15.8%)

explain165.0ms (2.2%)

preprocess251.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify194.0ms (2.6%)

localize50.0ms (0.7%)

series10.0ms (0.1%)

simplify157.0ms (2.1%)

rewrite210.0ms (2.8%)

eval98.0ms (1.3%)

prune154.0ms (2.1%)

simplify150.0ms (2%)

localize81.0ms (1.1%)

series39.0ms (0.5%)

simplify140.0ms (1.9%)

rewrite344.0ms (4.6%)

eval374.0ms (5%)

prune331.0ms (4.4%)

simplify235.0ms (3.1%)

localize161.0ms (2.1%)

series51.0ms (0.7%)

simplify255.0ms (3.4%)

rewrite357.0ms (4.7%)

eval245.0ms (3.3%)

prune236.0ms (3.1%)

simplify140.0ms (1.9%)

localize97.0ms (1.3%)

series66.0ms (0.9%)

simplify197.0ms (2.6%)

rewrite198.0ms (2.6%)

eval175.0ms (2.3%)

prune166.0ms (2.2%)

regimes50.0ms (0.7%)

regimes3.0ms (0%)

regimes22.0ms (0.3%)

regimes2.0ms (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 (0.2%)

soundness675.0ms (9%)

preprocess160.0ms (2.1%)

end0.0ms (0%)

Profiling