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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze41.0ms (0.5%)

Memory

8.6MiB live, 86.6MiB 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 (13.7%)

Memory

17.2MiB live, 1 361.0MiB allocated

Samples

769.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 483.0ms

ival-mult: 293.0ms (60.6% of total)

ival-div: 87.0ms (18% of total)

ival-sub: 57.0ms (11.8% of total)

ival-add: 34.0ms (7% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain164.0ms (1.9%)

Memory

-5.9MiB live, 150.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
66	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
20	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
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	61	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	141
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	115
↳	`(*.f64 z z)`	overflow	46
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	20	0
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	115
↳	`(*.f64 z z)`	overflow	46
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	5	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	5
↳	`(*.f64 y y)`	underflow	56
↳	`(*.f64 x x)`	underflow	66
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	19
↳	`(*.f64 z z)`	underflow	70

Confusion

	Predicted +	Predicted -
+	78	0
-	0	178

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	178
1	70
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (47.9% of total)

ival-add: 7.0ms (27.9% of total)

ival-div: 3.0ms (12% of total)

ival-sub: 2.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess275.0ms (3.2%)

Memory

33.3MiB live, 187.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify179.0ms (2.1%)

Memory

-9.7MiB live, 156.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1505	47
7	3475	47
8	7859	47
0	8033	37

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

-7.8MiB live, 30.0MiB 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	4.542946044132265	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	15.417208834430935	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

24.0ms

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 (62.1% of total)

ival-div: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

9 calls:

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

simplify150.0ms (1.8%)

Memory

-8.2MiB live, 107.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 488×	`lower-fma.f64`
7 488×	`lower-fma.f32`
4 752×	`lower-*.f64`
4 752×	`lower-*.f32`
1 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1206
1	196	1206
2	566	1204
3	2183	1064
4	6030	1040
0	8152	782

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite213.0ms (2.5%)

Memory

-2.8MiB live, 188.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	68	39
2	569	39
0	8301	27

Stop Event

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

Counts

5 → 536

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (hypot.f64 (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (hypot.f64 (hypot.f64 y x) (.f64 z z)) (.f64 (*.f64 (hypot.f64 y x) z) z)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (hypot.f64 y x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z z) (fma.f64 z z (hypot.f64 y x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 z z (hypot.f64 y x)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal 3 binary64))))) (-.f64 (hypot.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 z z (hypot.f64 y x)))) (.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 z z (hypot.f64 y x))))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (hypot.f64 y x))) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (hypot.f64 y x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 z z (hypot.f64 y x)) (.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) (fma.f64 z z (hypot.f64 y x))))
(.f64 (/.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) (.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) y) (/.f64 (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)) y))
(.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) y) (/.f64 (pow.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (hypot.f64 y x)))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) y))
(.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 z z) (hypot.f64 y x)))
(.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 y x) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y))) (/.f64 (.f64 (.f64 (hypot.f64 y x) z) z) (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(.f64 (/.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) y) #s(literal -1/2 binary64))
(.f64 (fma.f64 (.f64 (hypot.f64 y x) y) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 y y))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) y) #s(literal 1/2 binary64))
(.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 z z (hypot.f64 y x)) #s(literal 2 binary64)) y)))
(.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (hypot.f64 y x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 y x)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 y x))))
(.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) (*.f64 #s(literal 2 binary64) y))))
(.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x))))))
(.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 z z) (hypot.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (.f64 (hypot.f64 y x) y) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 z z))) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z (hypot.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x))))
(/.f64 (/.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (-.f64 (*.f64 z z) (hypot.f64 y x)) #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) z (hypot.f64 y x))) y)
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 z z (hypot.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 (fma.f64 z z (hypot.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (hypot.f64 (.f64 x x) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 (.f64 x x) (*.f64 (+.f64 y z) (-.f64 y z)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (fma.f64 z z (hypot.f64 y x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x)))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 x x) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 (.f64 x x) (*.f64 (+.f64 y z) (-.f64 y z)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z (hypot.f64 y x))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) #s(literal 1/2 binary64))) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 z z (hypot.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (hypot.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 y x) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))) (+.f64 (hypot.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y))) (/.f64 (.f64 (.f64 (hypot.f64 y x) z) z) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) y)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (hypot.f64 y x) y) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 z z)))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 z z) (hypot.f64 y x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (hypot.f64 y x)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (hypot.f64 (hypot.f64 y x) (.f64 z z)) (.f64 (.f64 (hypot.f64 y x) z) (neg.f64 z))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (*.f64 z z) (hypot.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (hypot.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)))) (-.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 y x) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 (hypot.f64 y x) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) z (hypot.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (fma.f64 z z (hypot.f64 y x))))
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(.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (hypot.f64 y x))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (hypot.f64 y x) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (hypot.f64 y x) (.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))) (hypot.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (hypot.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (hypot.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (hypot.f64 (.f64 x x) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (hypot.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (hypot.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 y x) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.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 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.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 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y x)
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))

eval92.0ms (1.1%)

Memory: -6.9MiB live, 107.9MiB allocated
Compiler: Compiled 16 371 to 1 671 computations (89.8% saved)

prune30.0ms (0.4%)

Memory

3.7MiB live, 42.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	646	10	656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	647	10	657

Accuracy

100.0%

Counts

657 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
▶	73.6%	(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	33.3%	(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 (hypot.f64 y x) z) z (hypot.f64 (.f64 z z) (hypot.f64 y x))) (.f64 #s(literal 2 binary64) y)))
	34.1%	(/.f64 (-.f64 (.f64 (hypot.f64 y x) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
▶	32.1%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	34.9%	(.f64 (fma.f64 (.f64 (hypot.f64 y x) y) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 y y))))
▶	64.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) (+.f64 z x)))
	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
	64.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
▶	37.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))

Compiler

Compiled 302 to 218 computations (27.8% saved)

simplify274.0ms (3.2%)

Memory

11.4MiB live, 178.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

16 842×	`lower-fma.f32`
16 838×	`lower-fma.f64`
3 738×	`lower-+.f32`
3 734×	`lower-+.f64`
3 666×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	246
0	65	226
1	125	220
2	282	218
3	797	218
4	2731	214
5	7087	214
0	8125	212

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.2%)

Memory

-1.4MiB live, 113.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	7.179364683537917	(.f64 (.f64 #s(literal -2 binary64) y) (*.f64 z z))
accuracy	7.5976314799624705	(fma.f64 (.f64 (hypot.f64 y x) y) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 z z)))
accuracy	24.750068847650727	(.f64 (fma.f64 (.f64 (hypot.f64 y x) y) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 y y))))
accuracy	59.5805487226357	(hypot.f64 y x)
accuracy	0	(+.f64 z x)
accuracy	0	(*.f64 (-.f64 x z) #s(literal 1/2 binary64))
accuracy	0.125	(.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) (+.f64 z x))
accuracy	22.415512525312124	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) (+.f64 z x)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	15.417208834430935	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	38.89154951335304	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	40.21887963518009	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	1.5038897356333614	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	15.417208834430935	(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 244 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 23.0ms (58.5% of total)

ival-add: 7.0ms (17.8% of total)

ival-div: 6.0ms (15.3% of total)

ival-sub: 3.0ms (7.6% of total)

exact: 1.0ms (2.5% of total)

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

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

series122.0ms (1.4%)

Memory

24.7MiB live, 96.1MiB allocated

Counts

22 → 600

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	y	@	0	((/ (+ (* (+ y z) (- y z)) (* x x)) (* y 2)) (+ y z) (- y z) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ (* (- x z) 1/2) y) (* (- x z) 1/2) (- x z) (* (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y)))) (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y))) (* (+ (* y y) (* x x)) y) (+ (* (+ y z) (- y z)) (* x x)) (* (/ (* (- x z) 1/2) y) (+ z x)) (+ z x) (+ (* y y) (* x x)) (* (* -2 y) (* z z)))
26.0ms	x	@	-inf	((/ (+ (* (+ y z) (- y z)) (* x x)) (* y 2)) (+ y z) (- y z) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ (* (- x z) 1/2) y) (* (- x z) 1/2) (- x z) (* (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y)))) (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y))) (* (+ (* y y) (* x x)) y) (+ (* (+ y z) (- y z)) (* x x)) (* (/ (* (- x z) 1/2) y) (+ z x)) (+ z x) (+ (* y y) (* x x)) (* (* -2 y) (* z z)))
5.0ms	z	@	0	((/ (+ (* (+ y z) (- y z)) (* x x)) (* y 2)) (+ y z) (- y z) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ (* (- x z) 1/2) y) (* (- x z) 1/2) (- x z) (* (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y)))) (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y))) (* (+ (* y y) (* x x)) y) (+ (* (+ y z) (- y z)) (* x x)) (* (/ (* (- x z) 1/2) y) (+ z x)) (+ z x) (+ (* y y) (* x x)) (* (* -2 y) (* z z)))
5.0ms	y	@	inf	((/ (+ (* (+ y z) (- y z)) (* x x)) (* y 2)) (+ y z) (- y z) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ (* (- x z) 1/2) y) (* (- x z) 1/2) (- x z) (* (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y)))) (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y))) (* (+ (* y y) (* x x)) y) (+ (* (+ y z) (- y z)) (* x x)) (* (/ (* (- x z) 1/2) y) (+ z x)) (+ z x) (+ (* y y) (* x x)) (* (* -2 y) (* z z)))
4.0ms	y	@	-inf	((/ (+ (* (+ y z) (- y z)) (* x x)) (* y 2)) (+ y z) (- y z) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ (* (- x z) 1/2) y) (* (- x z) 1/2) (- x z) (* (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y)))) (+ (* (* (+ (* y y) (* x x)) y) 2) (* (* -2 y) (* z z))) (/ 1 (* 4 (* y y))) (* (+ (* y y) (* x x)) y) (+ (* (+ y z) (- y z)) (* x x)) (* (/ (* (- x z) 1/2) y) (+ z x)) (+ z x) (+ (* y y) (* x x)) (* (* -2 y) (* z z)))

simplify388.0ms (4.6%)

Memory

-32.4MiB live, 254.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 504×	`lower-fma.f64`
8 504×	`lower-fma.f32`
4 482×	`lower-*.f64`
4 482×	`lower-*.f32`
3 712×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	7165
1	1293	6803
2	4188	6549
0	8537	5777

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 582

Calls

Call 1

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

rewrite256.0ms (3%)

Memory

28.5MiB live, 346.3MiB allocated

Rules

4 912×	`lower-/.f32`
4 904×	`lower-/.f64`
4 556×	`lower-*.f32`
4 532×	`lower-*.f64`
4 462×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	206
0	65	186
1	246	180
2	2092	180
0	8504	180

Stop Event

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

Counts

22 → 972

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 z z (hypot.f64 x y)) (.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) (fma.f64 z z (hypot.f64 x y))))
(.f64 (/.f64 (fma.f64 (.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) (fma.f64 (.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) x) x)) (.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) x) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z z (hypot.f64 x y)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) y) (/.f64 (pow.f64 (fma.f64 z z (hypot.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) y))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 (pow.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) y))
(.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) y) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) x) x)) #s(literal -1 binary64)) y))
(.f64 (/.f64 (hypot.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) x) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (hypot.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (hypot.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) (neg.f64 y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) y) #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 z) z (hypot.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 x y)))
(.f64 (neg.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y))) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 x y))) (/.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (.f64 (neg.f64 x) x)) (fma.f64 (-.f64 y z) (+.f64 z y) (.f64 (neg.f64 x) x))))
(*.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 z) z (hypot.f64 x y))) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 x y) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (neg.f64 (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (hypot.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y))) (neg.f64 (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y)))) (.f64 (.f64 (hypot.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) x) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (fma.f64 z z (hypot.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (hypot.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (hypot.f64 x y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 x y) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (hypot.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y)) #s(literal 2 binary64)) (.f64 (.f64 (hypot.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 z y)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y)) y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (hypot.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (hypot.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (.f64 x x)) (.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) x) x)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 z z (hypot.f64 x y)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 z z) (fma.f64 z z (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (hypot.f64 x y) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 z z)))) (neg.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (.f64 y (/.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 y y))
(/.f64 (-.f64 (.f64 (/.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y (/.f64 (.f64 z z) y))) (.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (/.f64 (hypot.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y)) (.f64 y (.f64 (neg.f64 z) z))) (.f64 y (.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 (.f64 (/.f64 (hypot.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (.f64 y #s(literal 1 binary64))) (.f64 y (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(/.f64 (-.f64 (.f64 (/.f64 (hypot.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 z y) z)) (.f64 y (.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (.f64 (/.f64 (hypot.f64 x y) y) y) (.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y))
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(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(fma.f64 (.f64 x (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(fma.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(fma.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x))
(fma.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal -1 binary64)) x) (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(fma.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal -1 binary64)) z) (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x))
(fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(fma.f64 (-.f64 x z) (.f64 (/.f64 #s(literal 1/2 binary64) y) z) (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x))
(fma.f64 x (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(fma.f64 z (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) (.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (/.f64 (-.f64 z x) (/.f64 y (.f64 (-.f64 x z) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (/.f64 (-.f64 z x) (/.f64 y (.f64 (-.f64 x z) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 y (.f64 (-.f64 x z) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 x x) (-.f64 z x)) (/.f64 y (.f64 (-.f64 x z) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x) (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z))
(+.f64 (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) z) (.f64 (/.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) y) x))
(.f64 (/.f64 (+.f64 x z) (/.f64 (fma.f64 x x (.f64 (neg.f64 z) z)) (*.f64 (+.f64 x z) (-.f64 z x)))) (/.f64 (-.f64 x z) (-.f64 z x)))
(.f64 (/.f64 (+.f64 x z) (/.f64 (fma.f64 x x (.f64 (neg.f64 z) z)) (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (-.f64 x z) (-.f64 (hypot.f64 z x) (*.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 x z) (pow.f64 (+.f64 (hypot.f64 x z) (.f64 x z)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 x z) (fma.f64 x x (.f64 (neg.f64 z) z))) (/.f64 (-.f64 x z) (pow.f64 (+.f64 x z) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 x z) (-.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 z x) (.f64 x z)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 z x) (*.f64 x z)) (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x)))) (neg.f64 (neg.f64 (-.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 z x) (*.f64 x z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z x)) (.f64 (-.f64 z x) (.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x))) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 x z)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 z x) (*.f64 x z))))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (-.f64 x z))
(/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (.f64 z z) (.f64 x z))))
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 z x) (*.f64 x z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 z x) (*.f64 x z)) (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 z x) (*.f64 x z)) (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x z)) (/.f64 (.f64 z z) (-.f64 x z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(+.f64 x z)
(+.f64 z x)
(.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)))
(.f64 (/.f64 (hypot.f64 x y) (+.f64 y x)) (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (.f64 y y) (.f64 x x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(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 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x y)
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y x)
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(.f64 (.f64 (*.f64 z z) #s(literal -2 binary64)) y)
(.f64 (.f64 (*.f64 z y) z) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) y) z) z)
(.f64 (.f64 #s(literal -2 binary64) y) (*.f64 z z))
(.f64 (.f64 z z) (*.f64 #s(literal -2 binary64) y))
(.f64 #s(literal -2 binary64) (.f64 (*.f64 z y) z))
(.f64 z (.f64 (*.f64 #s(literal -2 binary64) y) z))
(.f64 y (.f64 #s(literal -2 binary64) (*.f64 z z)))

eval291.0ms (3.4%)

Memory: -20.7MiB live, 451.3MiB allocated
Compiler: Compiled 38 306 to 3 861 computations (89.9% saved)

prune42.0ms (0.5%)

Memory

25.1MiB live, 145.7MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 581	5	1 586
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	1 588	8	1 596

Accuracy

100.0%

Counts

1 596 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.6%	(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	32.1%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	64.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (+.f64 x z) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))))
	45.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 (.f64 (-.f64 x z) #s(literal 1/2 binary64)) (.f64 (+.f64 x z) (-.f64 z x))) (.f64 y (-.f64 z x))))
▶	67.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
▶	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
▶	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	37.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))

Compiler

Compiled 150 to 128 computations (14.7% saved)

simplify372.0ms (4.4%)

Memory

11.7MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 x z)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (+.f64 x z) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))))
cost-diff	256	(/.f64 (+.f64 x z) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 z y) y)
cost-diff	0	(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))

Rules

10 554×	`lower-fma.f32`
10 552×	`lower-fma.f64`
2 628×	`lower-*.f32`
2 612×	`lower-*.f64`
2 252×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	234
0	55	234
1	97	234
2	195	234
3	399	234
4	924	234
5	1863	226
6	3486	226
7	7460	226
0	8238	210

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

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

localize107.0ms (1.3%)

Memory

-23.0MiB live, 132.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 x z) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))
accuracy	0.10546875	(/.f64 (+.f64 x z) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64))))
accuracy	22.415512525312124	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (+.f64 x z) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	15.452365084430935	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
accuracy	38.89154951335304	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0	(*.f64 z z)
accuracy	0.01171875	(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
accuracy	5.486016094071798	(/.f64 (*.f64 z z) y)
accuracy	43.5395716923335	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy	0.140625	(*.f64 (/.f64 x y) x)
accuracy	41.868977763450786	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.0390625	(fma.f64 (neg.f64 z) (/.f64 z y) y)
accuracy	20.60358365812704	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))

Samples

81.0ms

256×

valid

Compiler

Compiled 192 to 32 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-neg: 32.0ms (49.1% of total)

ival-mult: 15.0ms (23% of total)

ival-div: 12.0ms (18.4% of total)

ival-add: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.5%)

Memory

17.8MiB live, 92.9MiB allocated

Counts

21 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (* (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z))) (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z)) (* x x) (/ (+ x z) (/ y (* (- x z) 1/2))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ x z) (/ y (* (- x z) 1/2)) (* (- x z) 1/2))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (* (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z))) (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z)) (* x x) (/ (+ x z) (/ y (* (- x z) 1/2))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ x z) (/ y (* (- x z) 1/2)) (* (- x z) 1/2))
3.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (* (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z))) (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z)) (* x x) (/ (+ x z) (/ y (* (- x z) 1/2))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ x z) (/ y (* (- x z) 1/2)) (* (- x z) 1/2))
3.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (* (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z))) (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z)) (* x x) (/ (+ x z) (/ y (* (- x z) 1/2))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ x z) (/ y (* (- x z) 1/2)) (* (- x z) 1/2))
3.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (* (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z))) (/ 1/2 y) (- (+ (* x x) (* y y)) (* z z)) (* x x) (/ (+ x z) (/ y (* (- x z) 1/2))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ x z) (/ y (* (- x z) 1/2)) (* (- x z) 1/2))

simplify267.0ms (3.2%)

Memory

-4.2MiB live, 286.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 906×	`lower-fma.f64`
9 906×	`lower-fma.f32`
4 804×	`lower-*.f64`
4 804×	`lower-*.f32`
3 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	6179
1	979	5979
2	3024	5701
3	7506	5671
0	8045	5256

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 543

Calls

Call 1

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

rewrite231.0ms (2.7%)

Memory

-12.7MiB live, 262.4MiB allocated

Rules

5 116×	`lower-fma.f32`
5 114×	`lower-fma.f64`
4 674×	`lower-/.f32`
4 662×	`lower-/.f64`
4 206×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	212
0	55	212
1	191	212
2	1343	212
0	8298	188

Stop Event

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

Counts

21 → 551

Calls

Call 1

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

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

eval187.0ms (2.2%)

Memory: 15.1MiB live, 377.6MiB allocated
Compiler: Compiled 16 677 to 2 322 computations (86.1% saved)

prune139.0ms (1.6%)

Memory

-16.6MiB live, 146.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 089	5	1 094
Fresh	1	0	1
Picked	1	4	5
Done	1	1	2
Total	1 092	10	1 102

Accuracy

100.0%

Counts

1 102 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.1%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
▶	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
▶	31.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
▶	31.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z)))
✓	67.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
▶	100.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 1/2 binary64)))
▶	31.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
✓	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	37.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))

Compiler

Compiled 130 to 125 computations (3.8% saved)

simplify222.0ms (2.6%)

Memory

-14.7MiB live, 316.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(/.f64 (/.f64 y z) z)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z)))
cost-diff	768	(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
cost-diff	384	(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
cost-diff	0	(/.f64 z y)
cost-diff	0	(*.f64 (/.f64 z y) z)
cost-diff	0	(.f64 (.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 (/.f64 z y) z) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 1/2 binary64)))
cost-diff	128	(+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))

Rules

16 026×	`lower-fma.f64`
16 026×	`lower-fma.f32`
3 458×	`lower--.f32`
3 456×	`lower--.f64`
3 054×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	237
0	52	237
1	99	237
2	202	237
3	367	237
4	915	237
5	2573	237
6	6007	227
0	8246	212

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

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

localize107.0ms (1.3%)

Memory

12.1MiB live, 161.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.140625	(/.f64 (/.f64 y z) z)
accuracy	0.8905972112593348	(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z))
accuracy	43.5395716923335	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z)))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.1015625	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
accuracy	41.868977763450786	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
accuracy	0	(/.f64 y z)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.15234375	(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
accuracy	43.5395716923335	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
accuracy	0	(/.f64 z y)
accuracy	0.01171875	(.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
accuracy	0.10546875	(*.f64 (/.f64 z y) z)
accuracy	43.5395716923335	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
accuracy	0	(+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))
accuracy	0	(.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 1/2 binary64))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 1/2 binary64)))
accuracy	0.125	(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))

Samples

84.0ms

256×

valid

Compiler

Compiled 193 to 32 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 20.0ms (47.9% of total)

ival-div: 13.0ms (31.1% of total)

ival-add: 5.0ms (12% of total)

ival-sub: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.6%)

Memory

12.8MiB live, 128.9MiB allocated

Counts

20 → 564

Calls

Call 1

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

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

Calls

9 calls:

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

simplify512.0ms (6.1%)

Memory

-6.9MiB live, 402.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 042×	`lower-fma.f64`
18 042×	`lower-fma.f32`
4 592×	`lower-*.f64`
4 592×	`lower-*.f32`
3 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	6239
1	743	5850
2	2616	5386
0	8593	5026

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 562

Calls

Call 1

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

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

rewrite520.0ms (6.2%)

Memory

12.6MiB live, 365.0MiB allocated

Rules

5 562×	`lower-/.f32`
5 546×	`lower-/.f64`
4 434×	`lower-*.f32`
4 422×	`lower-*.f64`
3 662×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	212
0	52	212
1	206	212
2	1624	212
0	8592	189

Stop Event

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

Counts

20 → 1 052

Calls

Call 1

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

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

eval355.0ms (4.2%)

Memory: 9.6MiB live, 471.9MiB allocated
Compiler: Compiled 27 569 to 4 168 computations (84.9% saved)

prune357.0ms (4.2%)

Memory

-143.1MiB live, 181.6MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 669	2	1 671
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	1 670	11	1 681

Accuracy

100.0%

Counts

1 681 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.1%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)))
✓	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	31.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
✓	31.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z)))
✓	67.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	30.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 y #s(approx ( (/ (- x z) y) (+ z x)) (/.f64 (*.f64 x x) y))) #s(literal 1/2 binary64)))
✓	31.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
✓	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	69.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (fma.f64 (/.f64 x y) x y)) #s(literal 1/2 binary64)))
✓	37.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 y #s(literal 1/2 binary64)))

Compiler

Compiled 382 to 203 computations (46.9% saved)

regimes60.0ms (0.7%)

Memory

21.9MiB live, 97.3MiB allocated

Counts

23 → 1

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

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

Calls

6 calls:

22.0ms	y
8.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
7.0ms	x
7.0ms	z
7.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes47.0ms (0.6%)

Memory

8.3MiB live, 47.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

6 calls:

24.0ms	z
5.0ms	y
5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
91.5%	2	`x`
89.3%	2	`y`
88.1%	2	`z`
98.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
91.5%	2	`(*.f64 x x)`
88.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

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

Outputs

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

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ y (* (/ (- x z) y) (+ z x))) (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
95.3%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes26.0ms (0.3%)

Memory

-49.2MiB live, 7.1MiB 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 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #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 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (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 #s(approx ( (/ (- x z) y) (+ z x)) (/.f64 (*.f64 x x) y))) #s(literal 1/2 binary64)))

Outputs

#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(approx (+ y (* (/ (- x z) y) (+ z x))) (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
94.9%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes17.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
65.4%	7	`z`
61.2%	5	`(*.f64 z z)`
63.0%	3	`y`
61.0%	4	`x`
57.6%	2	`(*.f64 x x)`
74.6%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 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 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))

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

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #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 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #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
74.6%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes10.0ms (0.1%)

Memory

-16.3MiB live, 22.6MiB 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 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))

Outputs
#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 x y) x) #s(literal 1/2 binary64)))

Calls

5 calls:

4.0ms	y
2.0ms	z
2.0ms	x
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
57.6%	2	`(*.f64 x x)`
48.3%	6	`z`
57.6%	2	`x`
55.6%	2	`y`
45.7%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 21 to 24 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

-15.0MiB live, 22.6MiB 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:

3.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
37.2%	1	`z`
37.2%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
37.2%	1	`y`
37.2%	1	`(*.f64 z z)`
37.2%	1	`x`
37.2%	1	`(*.f64 x x)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	2.395348679410574e-108

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1107729384617252e-50	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1107729384617252e-50	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	7.883731342462079e+147	6.611190383229016e+148
0.0ms	-1.1107729384617252e-50	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	7.883731342462079e+147	6.611190383229016e+148
0.0ms	-1.1107729384617252e-50	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch13.0ms (0.1%)

Memory

29.0MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.891736644733683e+108	3.6428926755469164e+110

Samples

7.0ms

112×

valid

Compiler

Compiled 102 to 129 computations (-26.5% saved)

Precisions

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

ival-mult: 3.0ms (70.1% of total)

ival-div: 1.0ms (23.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (0.5%)

Memory

-30.6MiB live, 85.5MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`-commutative-binary64-.f64`
20×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	656
1	100	656
2	113	656
3	120	656
4	124	656
5	125	656

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #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 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (fma.f64 (/.f64 x y) x y)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 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(approx (+ y ( (/ (- x z) y) (+ z x))) (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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z 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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 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 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 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 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 6799999999999999918304417683442144394785770354367221186945783593809743750006592645557675347740469362495062016 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 x y) x) #s(literal 1/2 binary64))))
#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 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (fma.f64 (/.f64 x y) x y)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 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 (fma.f64 (neg.f64 z) (/.f64 z y) 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (fma.f64 (/.f64 x y) x y)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 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(approx (+ y ( (/ (- x z) y) (+ z x))) (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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 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 #s(approx (+ y ( (/ (- x z) y) (+ z x))) (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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z 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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 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 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 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 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 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 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 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 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 6799999999999999918304417683442144394785770354367221186945783593809743750006592645557675347740469362495062016 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 x y) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 6799999999999999918304417683442144394785770354367221186945783593809743750006592645557675347740469362495062016 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 (.f64 (/.f64 x y) x) #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 #s(literal 1/2 binary64) y))

soundness818.0ms (9.7%)

Memory

35.2MiB live, 787.7MiB allocated

Rules

18 042×	`lower-fma.f64`
18 042×	`lower-fma.f32`
9 906×	`lower-fma.f64`
9 906×	`lower-fma.f32`
8 504×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	6239
1	743	5850
2	2616	5386
0	8593	5026
0	329	6179
1	979	5979
2	3024	5701
3	7506	5671
0	8045	5256
0	71	1206
1	196	1206
2	566	1204
3	2183	1064
4	6030	1040
0	8152	782
0	36	212
0	55	212
1	191	212
2	1343	212
0	8298	188
0	401	7165
1	1293	6803
2	4188	6549
0	8537	5777

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

Compiler

Compiled 448 to 232 computations (48.2% saved)

preprocess114.0ms (1.3%)

Memory: -10.3MiB live, 225.3MiB allocated
Remove: (negabs y)
Compiler: Compiled 1 156 to 500 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze41.0ms (0.5%)

sample1.2s (13.7%)

explain164.0ms (1.9%)

preprocess275.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify179.0ms (2.1%)

localize32.0ms (0.4%)

series12.0ms (0.1%)

simplify150.0ms (1.8%)

rewrite213.0ms (2.5%)

eval92.0ms (1.1%)

prune30.0ms (0.4%)

simplify274.0ms (3.2%)

localize98.0ms (1.2%)

series122.0ms (1.4%)

simplify388.0ms (4.6%)

rewrite256.0ms (3%)

eval291.0ms (3.4%)

prune42.0ms (0.5%)

simplify372.0ms (4.4%)

localize107.0ms (1.3%)

series46.0ms (0.5%)

simplify267.0ms (3.2%)

rewrite231.0ms (2.7%)

eval187.0ms (2.2%)

prune139.0ms (1.6%)

simplify222.0ms (2.6%)

localize107.0ms (1.3%)

series54.0ms (0.6%)

simplify512.0ms (6.1%)

rewrite520.0ms (6.2%)

eval355.0ms (4.2%)

prune357.0ms (4.2%)

regimes60.0ms (0.7%)

regimes47.0ms (0.6%)

regimes4.0ms (0%)

regimes26.0ms (0.3%)

regimes17.0ms (0.2%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

simplify40.0ms (0.5%)

soundness818.0ms (9.7%)

preprocess114.0ms (1.3%)

end0.0ms (0%)

Profiling