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

analyze44.0ms (0.3%)

Memory

15.1MiB live, 93.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.5s (10.6%)

Memory

35.6MiB live, 1 569.6MiB allocated

Samples

806.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-mult: 250.0ms (59.1% of total)

ival-div: 63.0ms (14.9% of total)

ival-add: 60.0ms (14.2% of total)

ival-sub: 36.0ms (8.5% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess734.0ms (5.3%)

Memory

-123.9MiB live, 734.9MiB allocated

Algorithm

2×	egg-herbie

Rules

12 972×	`accelerator-lowering-fma.f32`
12 972×	`accelerator-lowering-fma.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
2 414×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	153
1	150	150
2	492	150
3	2200	150
4	6855	130
0	11	15
1	25	15
2	62	15
3	129	15
4	288	15
5	615	15
6	1492	13
7	3458	13
8	7814	13
0	8287	12

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2))
(/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2))
(/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2))
(neg (/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2)))
(neg (/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2)))
(neg (/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2)))
(/ (- (+ (* y y) (* x x)) (* z z)) (* x 2))
(/ (- (+ (* z z) (* y y)) (* x x)) (* y 2))
(/ (- (+ (* x x) (* z z)) (* y y)) (* z 2))

Outputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2))
(* (- (/ (- (* z z) (* x x)) y) y) 1/2)
(/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(neg (/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2)))
(* (- (/ (- (* z z) (* x x)) y) y) 1/2)
(neg (/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2)))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(neg (/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2)))
(* (- (/ (- (* z z) (* x x)) y) y) 1/2)
(/ (- (+ (* y y) (* x x)) (* z z)) (* x 2))
(/ (+ x (/ (- (* y y) (* z z)) x)) 2)
(/ (- (+ (* z z) (* y y)) (* x x)) (* y 2))
(/ (+ y (/ (- (* z z) (* x x)) y)) 2)
(/ (- (+ (* x x) (* z z)) (* y y)) (* z 2))
(/ (+ z (/ (- (* x x) (* y y)) z)) 2)

Symmetry

(abs x)

(abs z)

(negabs y)

explain152.0ms (1.1%)

Memory

-0.4MiB live, 273.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	1	(1.168109103577534e-255 1.746618705437985e-178 4.2824719541237856e-157)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
26	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	67	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	138
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	63
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	111
↳	`(*.f64 z z)`	overflow	53
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	26	0
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	63
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	111
↳	`(*.f64 z z)`	overflow	53
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	1	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	1
↳	`(*.f64 y y)`	underflow	56
↳	`(*.f64 x x)`	underflow	55
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	12
↳	`(*.f64 z z)`	underflow	55

Confusion

	Predicted +	Predicted -
+	84	1
-	0	171

Precision

1.0

Recall

0.9882352941176471

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	1
-	0	0	171

Precision?

1.0

Recall?

0.9882352941176471

Freqs

test

number	freq
0	172
1	74
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.3% of total)

ival-div: 6.0ms (26.1% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.6%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify556.0ms (4%)

Memory

24.9MiB live, 644.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	192	(+.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	192	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	cost-diff	192	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Rules

12 972×	`accelerator-lowering-fma.f32`
12 972×	`accelerator-lowering-fma.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
2 414×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	25	49
2	62	49
3	129	49
4	288	49
5	615	49
6	1492	47
7	3458	47
8	7814	47
0	8287	44

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize47.0ms (0.3%)

Memory

2.6MiB live, 42.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	90.7%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	75.2%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 24.0ms (86.9% of total)

ival-div: 2.0ms (7.2% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.3%)

Memory

-27.2MiB live, 12.3MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))>
#<alt (- (+ (* x x) (* y y)) (* z z))>
#<alt (+ (* x x) (* y y))>
#<alt (* x x)>

Outputs
#<alt (* 1/2 (/ (- (pow y 2) (pow z 2)) y))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (- (pow y 2) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (- (pow x 2) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

27 calls:

Time	Variable		Point	Expression
32.0ms	x	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	x	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	-inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	z	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

rewrite635.0ms (4.6%)

Memory

-16.7MiB live, 671.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 846×	`-lowering-.f32`
5 846×	`-lowering-.f64`
5 096×	`accelerator-lowering-fma.f32`
5 096×	`accelerator-lowering-fma.f64`
4 708×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	61	36
2	562	36
0	8272	33

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 522

Calls

Call 1

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

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

simplify845.0ms (6.1%)

Memory

-10.2MiB live, 452.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
4 752×	`-lowering-.f32`
4 752×	`-lowering-.f64`
1 676×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval120.0ms (0.9%)

Memory: 13.9MiB live, 164.4MiB allocated
Compiler: Compiled 26 714 to 1 604 computations (94% saved)

prune258.0ms (1.9%)

Memory

-22.8MiB live, 228.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	617	13	630
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	618	13	631

Accuracy

100.0%

Counts

631 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
▶	28.5%	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
	58.0%	(/.f64 (/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (.f64 z z))) (.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
▶	55.4%	(/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
	39.7%	(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 y y)) (/.f64 (.f64 y #s(literal 2 binary64)) (.f64 z z))) (.f64 y #s(literal 2 binary64))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 (.f64 y #s(literal 2 binary64)) (*.f64 z z))))
	33.4%	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
	60.5%	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))
	72.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
▶	51.6%	(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64))))
	72.0%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
	64.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
	65.8%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
▶	36.1%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 440 to 260 computations (40.9% saved)

simplify505.0ms (3.6%)

Memory

32.3MiB live, 581.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x (*.f64 y y))
✓	cost-diff	256	(fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (*.f64 z z)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64)))
✓	cost-diff	704	(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64))))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
✓	cost-diff	192	(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z z))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	-64	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 x z) y)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))

Rules

13 394×	`accelerator-lowering-fma.f32`
13 394×	`accelerator-lowering-fma.f64`
4 492×	`-lowering-.f32`
4 492×	`-lowering-.f64`
2 328×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	185
1	88	181
2	233	177
3	755	177
4	2970	173
5	5885	173
0	8249	166

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
1/2
(+ (* (+ z x) (/ (- x z) y)) y)
(+ z x)
z
x
(/ (- x z) y)
(- x z)
y
0
(* 1/2 y)
1/2
y
(/ (+ (* x x) 0) (* y 2))
(+ (* x x) 0)
x
0
(* y 2)
y
2
(/ (- (+ (* x x) 0) (* z z)) (* y 2))
(- (+ (* x x) 0) (* z z))
(+ (* x x) 0)
x
0
(* z z)
z
(* y 2)
y
2
(* (+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z))) (/ 1 (* (* y y) 4)))
(+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z)))
(+ (* x x) (* y y))
x
(* y y)
y
(* y 2)
2
(* (* y -2) (* z z))
(* y -2)
-2
(* z z)
z
(/ 1 (* (* y y) 4))
1
(* (* y y) 4)
4

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

localize95.0ms (0.7%)

Memory

-17.0MiB live, 192.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64)))
✓	accuracy	89.4%	(.f64 (.f64 y #s(literal -2 binary64)) (*.f64 z z))
✓	accuracy	83.4%	(fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (*.f64 z z)))
✓	accuracy	58.8%	(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	94.1%	(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z z))
✓	accuracy	88.6%	(/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	88.1%	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

54.0ms

256×

valid

Compiler

Compiled 186 to 35 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (51.8% of total)

ival-add: 7.0ms (21.3% of total)

ival-div: 6.0ms (18.3% of total)

ival-sub: 2.0ms (6.1% of total)

exact: 1.0ms (3% of total)

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

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

series49.0ms (0.4%)

Memory

7.5MiB live, 48.5MiB allocated

Counts

17 → 420

Calls

Call 1

Inputs
#<alt (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)>
#<alt (+ (* (+ z x) (/ (- x z) y)) y)>
#<alt (+ z x)>
#<alt (/ (- x z) y)>
#<alt (* 1/2 y)>
#<alt (/ (+ (* x x) 0) (* y 2))>
#<alt (+ (* x x) 0)>
#<alt (* y 2)>
#<alt (- (+ (* x x) 0) (* z z))>
#<alt (/ (- (+ (* x x) 0) (* z z)) (* y 2))>
#<alt (* (+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z))) (/ 1 (* (* y y) 4)))>
#<alt (/ 1 (* (* y y) 4))>
#<alt (+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z)))>
#<alt (+ (* x x) (* y y))>
#<alt (- x z)>
#<alt (* z z)>
#<alt (* (* y -2) (* z z))>

Outputs
#<alt (* 1/2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (+ y (* -1 (/ (pow z 2) y))))>
#<alt (+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<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))))>
#<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))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (/ (* (+ x z) (- x z)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (/ z y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -1 (pow z 2))>
#<alt (- (pow x 2) (pow z 2))>
#<alt (- (pow x 2) (pow z 2))>
#<alt (- (pow x 2) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (pow z 2)) (pow x 2))>
#<alt (+ (* -1 (pow z 2)) (pow x 2))>
#<alt (+ (* -1 (pow z 2)) (pow x 2))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (pow x 2) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (pow x 2) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (pow x 2) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (pow x 2) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (pow x 2) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (pow x 2) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (pow y 3))) (pow y 2)))>
#<alt (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (pow y 3))) (pow y 2))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (pow y 3))) (pow y 2))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (pow y 3))) (pow y 2))) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) y))>
#<alt (/ (+ (* 1/4 (+ (* -2 (pow z 2)) (* 2 (pow x 2)))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/4 (+ (* -2 (pow z 2)) (* 2 (pow x 2)))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/4 (+ (* -2 (pow z 2)) (* 2 (pow x 2)))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* 1/4 (/ (+ (* -2 (pow x 2)) (* 2 (pow z 2))) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/4 (/ (+ (* -2 (pow x 2)) (* 2 (pow z 2))) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/4 (/ (+ (* -2 (pow x 2)) (* 2 (pow z 2))) (pow y 2))) 1/2)))>
#<alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (/ 1/4 (pow y 2))>
#<alt (+ (* -2 (* y (pow z 2))) (* 2 (pow y 3)))>
#<alt (+ (* -2 (* y (pow z 2))) (+ (* 2 (* (pow x 2) y)) (* 2 (pow y 3))))>
#<alt (+ (* -2 (* y (pow z 2))) (+ (* 2 (* (pow x 2) y)) (* 2 (pow y 3))))>
#<alt (+ (* -2 (* y (pow z 2))) (+ (* 2 (* (pow x 2) y)) (* 2 (pow y 3))))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))))>
#<alt (* y (+ (* -2 (pow z 2)) (* 2 (pow x 2))))>
#<alt (* y (+ (* -2 (pow z 2)) (+ (* 2 (pow x 2)) (* 2 (pow y 2)))))>
#<alt (* y (+ (* -2 (pow z 2)) (+ (* 2 (pow x 2)) (* 2 (pow y 2)))))>
#<alt (* y (+ (* -2 (pow z 2)) (+ (* 2 (pow x 2)) (* 2 (pow y 2)))))>
#<alt (* 2 (pow y 3))>
#<alt (* (pow y 3) (+ 2 (+ (* -2 (/ (pow z 2) (pow y 2))) (* 2 (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 3) (+ 2 (+ (* -2 (/ (pow z 2) (pow y 2))) (* 2 (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 3) (+ 2 (+ (* -2 (/ (pow z 2) (pow y 2))) (* 2 (/ (pow x 2) (pow y 2))))))>
#<alt (* 2 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow z 2) (pow y 2)))) 2)))>
#<alt (* -1 (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow z 2) (pow y 2)))) 2)))>
#<alt (* -1 (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow z 2) (pow y 2)))) 2)))>
#<alt (* 2 (* y (+ (pow x 2) (pow y 2))))>
#<alt (+ (* -2 (* y (pow z 2))) (* 2 (* y (+ (pow x 2) (pow y 2)))))>
#<alt (+ (* -2 (* y (pow z 2))) (* 2 (* y (+ (pow x 2) (pow y 2)))))>
#<alt (+ (* -2 (* y (pow z 2))) (* 2 (* y (+ (pow x 2) (pow y 2)))))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -2 y) (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 y) (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 y) (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -2 y) (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 y) (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 y) (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>
#<alt (* -2 (* y (pow z 2)))>

Calls

105 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(- (+ (* x x) 0) (* z z))
3.0ms	y	@	0	(/ (+ (* x x) 0) (* y 2))
2.0ms	x	@	inf	(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
1.0ms	x	@	0	(* (+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z))) (/ 1 (* (* y y) 4)))
1.0ms	y	@	0	(* (+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z))) (/ 1 (* (* y y) 4)))

rewrite535.0ms (3.9%)

Memory

4.0MiB live, 1 024.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 514×	`accelerator-lowering-fma.f32`
6 514×	`accelerator-lowering-fma.f64`
5 096×	`/-lowering-/.f32`
5 096×	`/-lowering-/.f64`
5 078×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	137
1	211	135
2	2010	135
0	9039	128

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 258

Calls

Call 1

Inputs
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
(+ (* (+ z x) (/ (- x z) y)) y)
(+ z x)
(/ (- x z) y)
(* 1/2 y)
(/ (+ (* x x) 0) (* y 2))
(+ (* x x) 0)
(* y 2)
(- (+ (* x x) 0) (* z z))
(/ (- (+ (* x x) 0) (* z z)) (* y 2))
(* (+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z))) (/ 1 (* (* y y) 4)))
(/ 1 (* (* y y) 4))
(+ (* (+ (* x x) (* y y)) (* y 2)) (* (* y -2) (* z z)))
(+ (* x x) (* y y))
(- x z)
(* z z)
(* (* y -2) (* z z))

Outputs
(+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))
(fma.f64 (+.f64 z x) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 (+.f64 z x) (.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 x z) y) (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))
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simplify437.0ms (3.2%)

Memory

37.4MiB live, 859.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 866×	`accelerator-lowering-fma.f32`
11 866×	`accelerator-lowering-fma.f64`
5 598×	`+-lowering-+.f64`
5 598×	`+-lowering-+.f32`
4 436×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	4555
1	970	4285
2	3317	4159
0	8191	3963

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

Outputs
(* 1/2 (+ y (/ (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 z z) (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal 0 binary64)) z)))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 z z) (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal 0 binary64)) z)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* (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)))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (.f64 z (/.f64 z y))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 0 binary64))
(* (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)))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (.f64 z (/.f64 z y))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* (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))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (.f64 z (/.f64 z y))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 0 binary64))
(* (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))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (.f64 z (/.f64 z y))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 0 binary64))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 (+.f64 x z) (-.f64 x z)))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 (+.f64 x z) (-.f64 x z)))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 (+.f64 x z) (-.f64 x z)))) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 y (fma.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 y (fma.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 y (fma.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 y (fma.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 y (fma.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 y (fma.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(+ y (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) y)
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 x (/.f64 x y) y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(.f64 (.f64 z z) (+.f64 (/.f64 y (.f64 z z)) (fma.f64 x (/.f64 x (.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y))))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(.f64 (.f64 z z) (+.f64 (/.f64 y (.f64 z z)) (fma.f64 x (/.f64 x (.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y))))
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(.f64 (.f64 z z) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) z)) z)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(.f64 (.f64 z z) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) z)) z)))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (*.f64 z (/.f64 z y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(-.f64 y (*.f64 z (/.f64 z y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(/ (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 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (.f64 y (.f64 x x))) (/.f64 y (*.f64 x x)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (.f64 y (.f64 x x))) (/.f64 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 x (/.f64 (-.f64 y (.f64 z (/.f64 z y))) (*.f64 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 x (/.f64 (-.f64 y (.f64 z (/.f64 z y))) (*.f64 x x)) (/.f64 x y)))
(/ (* (+ x z) (- x z)) y)
(fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) #s(literal 0 binary64))
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 (+.f64 x z) (-.f64 x z))) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 (+.f64 x z) (-.f64 x z))) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 (+.f64 x z) (-.f64 x z))) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(.f64 y (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (.f64 y y)) #s(literal 1 binary64)))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(.f64 y (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (.f64 y y)) #s(literal 1 binary64)))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(.f64 y (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (.f64 y y)) #s(literal 1 binary64)))
y
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(.f64 (fma.f64 (neg.f64 (-.f64 x z)) (/.f64 (+.f64 x z) (.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(.f64 (fma.f64 (neg.f64 (-.f64 x z)) (/.f64 (+.f64 x z) (.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(.f64 (fma.f64 (neg.f64 (-.f64 x z)) (/.f64 (+.f64 x z) (.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
x
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
z
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
z
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
x
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))))
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(.f64 z (+.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal -1 binary64) y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(.f64 z (+.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal -1 binary64) y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(.f64 z (+.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(.f64 z (+.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(.f64 z (+.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(.f64 z (+.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal -1 binary64) y)))
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 (/ (pow x 2) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
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eval303.0ms (2.2%)

Memory: 29.6MiB live, 447.8MiB allocated
Compiler: Compiled 58 682 to 4 093 computations (93% saved)

prune249.0ms (1.8%)

Memory

-17.3MiB live, 433.3MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 798	13	1 811
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	1 808	16	1 824

Accuracy

100.0%

Counts

1 824 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) y) #s(literal 0 binary64))
▶	70.4%	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
	35.3%	(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
	33.4%	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
	60.5%	(/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (.f64 y #s(literal 2 binary64)))
	28.5%	(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
▶	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 z x) (-.f64 x z))))
	28.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
	60.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 z x) (-.f64 x z)))
	44.5%	(.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) (fma.f64 x (/.f64 x (.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)))
	27.4%	(.f64 (.f64 (.f64 y (.f64 z z)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 4 binary64))))
	31.6%	(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
▶	31.6%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
▶	64.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	36.1%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 426 to 289 computations (32.2% saved)

simplify366.0ms (2.6%)

Memory

-11.6MiB live, 509.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 (+.f64 z x) (-.f64 x z))
✓	cost-diff	0	(/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 z x) (-.f64 x z)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 z x) (-.f64 x z))))
✓	cost-diff	-64	(*.f64 z (/.f64 z y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(-.f64 y (*.f64 z (/.f64 z y)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 x (/.f64 x y) y)
✓	cost-diff	-64	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	-64	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) y) #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))

Rules

15 562×	`accelerator-lowering-fma.f32`
15 562×	`accelerator-lowering-fma.f64`
2 824×	`-lowering-.f32`
2 824×	`-lowering-.f64`
1 908×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	163
1	90	155
2	265	155
3	900	155
4	2781	155
5	5775	155
0	8043	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 1/2 (+ (* (- x z) (* (/ 1 y) (+ z x))) y)) 0)
1/2
(+ (* (- x z) (* (/ 1 y) (+ z x))) y)
(- x z)
x
z
(* (/ 1 y) (+ z x))
(/ 1 y)
1
y
(+ z x)
0
(* x (* x (/ 1/2 y)))
x
(* x (/ 1/2 y))
(/ 1/2 y)
1/2
y
(* 1/2 (+ (* x (/ x y)) y))
1/2
(+ (* x (/ x y)) y)
x
(/ x y)
y
(+ (* 1/2 (- y (* z (/ z y)))) 0)
1/2
(- y (* z (/ z y)))
y
(* z (/ z y))
z
(/ z y)
0
(/ 1 (/ (* y 2) (* (+ z x) (- x z))))
1
(/ (* y 2) (* (+ z x) (- x z)))
(* y 2)
y
2
(* (+ z x) (- x z))
(+ z x)
z
x
(- x z)

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

localize95.0ms (0.7%)

Memory

20.1MiB live, 136.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 z x) (-.f64 x z))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 z x) (-.f64 x z))))
✓	accuracy	88.5%	(/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (+.f64 z x) (-.f64 x z)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 y (*.f64 z (/.f64 z y)))
✓	accuracy	99.8%	(*.f64 z (/.f64 z y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	accuracy	99.9%	(fma.f64 x (/.f64 x y) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.8%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	99.9%	(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))

Samples

58.0ms

256×

valid

Compiler

Compiled 163 to 33 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 14.0ms (34.5% of total)

ival-mult: 14.0ms (34.5% of total)

ival-add: 9.0ms (22.2% of total)

ival-sub: 3.0ms (7.4% of total)

exact: 1.0ms (2.5% of total)

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

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

series55.0ms (0.4%)

Memory

-8.2MiB live, 66.2MiB allocated

Counts

19 → 492

Calls

Call 1

Inputs
#<alt (* (/ 1 y) (+ z x))>
#<alt (+ (* 1/2 (+ (* (- x z) (* (/ 1 y) (+ z x))) y)) 0)>
#<alt (+ (* (- x z) (* (/ 1 y) (+ z x))) y)>
#<alt (- x z)>
#<alt (/ 1/2 y)>
#<alt (* x (* x (/ 1/2 y)))>
#<alt (* x (/ 1/2 y))>
#<alt (+ (* x (/ x y)) y)>
#<alt (/ x y)>
#<alt (* 1/2 (+ (* x (/ x y)) y))>
#<alt (+ (* 1/2 (- y (* z (/ z y)))) 0)>
#<alt (- y (* z (/ z y)))>
#<alt (/ z y)>
#<alt (* z (/ z y))>
#<alt (/ 1 (/ (* y 2) (* (+ z x) (- x z))))>
#<alt (/ (* y 2) (* (+ z x) (- x z)))>
#<alt (* (+ z x) (- x z))>
#<alt (+ z x)>
#<alt (* y 2)>

Outputs
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ (+ x z) y)>
#<alt (/ x y)>
#<alt (+ (/ x y) (/ z y))>
#<alt (+ (/ x y) (/ z y))>
#<alt (+ (/ x y) (/ z y))>
#<alt (/ z y)>
#<alt (* z (+ (/ 1 y) (/ x (* y z))))>
#<alt (* z (+ (/ 1 y) (/ x (* y z))))>
#<alt (* z (+ (/ 1 y) (/ x (* y z))))>
#<alt (/ z y)>
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (/ z y)>
#<alt (+ (/ x y) (/ z y))>
#<alt (+ (/ x y) (/ z y))>
#<alt (+ (/ x y) (/ z y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (/ z (* x y))))>
#<alt (* x (+ (/ 1 y) (/ z (* x y))))>
#<alt (* x (+ (/ 1 y) (/ z (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* 1/2 (+ y (* -1 (/ (pow z 2) y))))>
#<alt (+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<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))))>
#<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))))>
#<alt (* 1/2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (/ (* (+ x z) (- x z)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt y>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* 1/2 y)>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt y>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt y>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* 2 (/ y (pow x 2)))>
#<alt (+ (* -2 (/ (* y (* z (+ x (* -1 x)))) (pow x 4))) (* 2 (/ y (pow x 2))))>
#<alt (+ (* 2 (/ y (pow x 2))) (* z (+ (* -2 (* z (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6)))))) (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))))))>
#<alt (+ (* 2 (/ y (pow x 2))) (* z (+ (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))) (* z (+ (* -2 (* z (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (pow x 2))) (/ (* y (+ x (* -1 x))) (pow x 6))))) (* -2 (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))))))))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (/ (+ (* -2 y) (* -2 (/ (* y (+ x (* -1 x))) z))) (pow z 2))>
#<alt (/ (+ (* -2 y) (+ (* -2 (/ (* y (+ x (* -1 x))) z)) (* -2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) (pow z 2))))) (pow z 2))>
#<alt (/ (+ (* -2 y) (+ (* -2 (/ (* y (+ x (* -1 x))) z)) (+ (* -2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) (pow z 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) (pow z 3)))))) (pow z 2))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (/ (+ (* -2 y) (* 2 (/ (* y (+ x (* -1 x))) z))) (pow z 2))>
#<alt (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ x (* -1 x)))) (* 2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) z))) z))) (pow z 2))>
#<alt (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ x (* -1 x)))) (* -1 (/ (+ (* -2 (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* 2 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) z))) z))) z))) (pow z 2))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (+ (* -2 (/ y (pow z 2))) (* -2 (/ (* x (* y (+ z (* -1 z)))) (pow z 4))))>
#<alt (+ (* -2 (/ y (pow z 2))) (* x (+ (* -2 (* x (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6))))) (* -2 (/ (* y (+ z (* -1 z))) (pow z 4))))))>
#<alt (+ (* -2 (/ y (pow z 2))) (* x (+ (* -2 (/ (* y (+ z (* -1 z))) (pow z 4))) (* x (+ (* -2 (* x (+ (/ (* y (+ z (* -1 z))) (pow z 6)) (/ (* (+ z (* -1 z)) (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6)))) (pow z 2))))) (* -2 (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6)))))))))>
#<alt (* 2 (/ y (pow x 2)))>
#<alt (/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (* 2 y)) (pow x 2))>
#<alt (/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))) (pow x 2))) (* 2 y))) (pow x 2))>
#<alt (/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))) (pow x 2))) (+ (* -2 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))))) (* y (* (pow z 2) (+ z (* -1 z))))) (pow x 3))) (* 2 y)))) (pow x 2))>
#<alt (* 2 (/ y (pow x 2)))>
#<alt (/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (* 2 y)) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))) x)) (* 2 (* y (+ z (* -1 z))))) x)) (* 2 y)) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (* (pow z 2) (+ z (* -1 z)))) (* (+ z (* -1 z)) (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))))) x)) (* 2 (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))))) x)) (* 2 (* y (+ z (* -1 z))))) x)) (* 2 y)) (pow x 2))>
#<alt (pow x 2)>
#<alt (+ (* z (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))>
#<alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))>
#<alt (* -1 (pow z 2))>
#<alt (+ (* -1 (pow z 2)) (* x (+ z (* -1 z))))>
#<alt (+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))>
#<alt (+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>

Calls

123 calls:

Time	Variable		Point	Expression
21.0ms	z	@	inf	(/ (* y 2) (* (+ z x) (- x z)))
8.0ms	z	@	inf	(* (/ 1 y) (+ z x))
1.0ms	z	@	0	(/ (* y 2) (* (+ z x) (- x z)))
1.0ms	x	@	0	(/ (* y 2) (* (+ z x) (- x z)))
1.0ms	y	@	0	(/ (* y 2) (* (+ z x) (- x z)))

rewrite634.0ms (4.6%)

Memory

-17.0MiB live, 764.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 268×	`/-lowering-/.f32`
5 268×	`/-lowering-/.f64`
4 962×	`-lowering-.f32`
4 962×	`-lowering-.f64`
4 018×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	133
1	197	125
2	1918	125
0	8904	121

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 681

Calls

Call 1

Inputs
(* (/ 1 y) (+ z x))
(+ (* 1/2 (+ (* (- x z) (* (/ 1 y) (+ z x))) y)) 0)
(+ (* (- x z) (* (/ 1 y) (+ z x))) y)
(- x z)
(/ 1/2 y)
(* x (* x (/ 1/2 y)))
(* x (/ 1/2 y))
(+ (* x (/ x y)) y)
(/ x y)
(* 1/2 (+ (* x (/ x y)) y))
(+ (* 1/2 (- y (* z (/ z y)))) 0)
(- y (* z (/ z y)))
(/ z y)
(* z (/ z y))
(/ 1 (/ (* y 2) (* (+ z x) (- x z))))
(/ (* y 2) (* (+ z x) (- x z)))
(* (+ z x) (- x z))
(+ z x)
(* y 2)

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

simplify294.0ms (2.1%)

Memory

-6.0MiB live, 473.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 252×	`accelerator-lowering-fma.f32`
4 252×	`accelerator-lowering-fma.f64`
3 376×	`-lowering-.f32`
3 376×	`-lowering-.f64`
1 790×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	4790
1	1571	4260
2	6123	4079
0	8322	3948

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ (+ x z) y)
(/ x y)
(+ (/ x y) (/ z y))
(+ (/ x y) (/ z y))
(+ (/ x y) (/ z y))
(/ z y)
(* z (+ (/ 1 y) (/ x (* y z))))
(* z (+ (/ 1 y) (/ x (* y z))))
(* z (+ (/ 1 y) (/ x (* y z))))
(/ 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))))
(/ z y)
(+ (/ x y) (/ z y))
(+ (/ x y) (/ z y))
(+ (/ x y) (/ z y))
(/ x y)
(* x (+ (/ 1 y) (/ z (* x y))))
(* x (+ (/ 1 y) (/ z (* x y))))
(* x (+ (/ 1 y) (/ z (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
y
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 1/2 (/ (pow 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 (/ (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 (/ (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 (/ (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 (/ (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 y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
y
(+ y (/ (pow x 2) y))
(+ y (/ (pow x 2) y))
(+ y (/ (pow x 2) y))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ (pow x 2) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
y
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
y
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* 1/2 y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
y
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
y
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) 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 (/ (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)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(* 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))
(* 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))
(* 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))
(* 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 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 (/ (+ (* -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))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (* (+ x z) (- x z))))
(* 2 (/ y (pow x 2)))
(+ (* -2 (/ (* y (* z (+ x (* -1 x)))) (pow x 4))) (* 2 (/ y (pow x 2))))
(+ (* 2 (/ y (pow x 2))) (* z (+ (* -2 (* z (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6)))))) (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))))))
(+ (* 2 (/ y (pow x 2))) (* z (+ (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))) (* z (+ (* -2 (* z (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (pow x 2))) (/ (* y (+ x (* -1 x))) (pow x 6))))) (* -2 (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))))))))
(* -2 (/ y (pow z 2)))
(/ (+ (* -2 y) (* -2 (/ (* y (+ x (* -1 x))) z))) (pow z 2))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ x (* -1 x))) z)) (* -2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) (pow z 2))))) (pow z 2))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ x (* -1 x))) z)) (+ (* -2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) (pow z 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) (pow z 3)))))) (pow z 2))
(* -2 (/ y (pow z 2)))
(/ (+ (* -2 y) (* 2 (/ (* y (+ x (* -1 x))) z))) (pow z 2))
(/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ x (* -1 x)))) (* 2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) z))) z))) (pow z 2))
(/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ x (* -1 x)))) (* -1 (/ (+ (* -2 (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* 2 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) z))) z))) z))) (pow z 2))
(* -2 (/ y (pow z 2)))
(+ (* -2 (/ y (pow z 2))) (* -2 (/ (* x (* y (+ z (* -1 z)))) (pow z 4))))
(+ (* -2 (/ y (pow z 2))) (* x (+ (* -2 (* x (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6))))) (* -2 (/ (* y (+ z (* -1 z))) (pow z 4))))))
(+ (* -2 (/ y (pow z 2))) (* x (+ (* -2 (/ (* y (+ z (* -1 z))) (pow z 4))) (* x (+ (* -2 (* x (+ (/ (* y (+ z (* -1 z))) (pow z 6)) (/ (* (+ z (* -1 z)) (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6)))) (pow z 2))))) (* -2 (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6)))))))))
(* 2 (/ y (pow x 2)))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (* 2 y)) (pow x 2))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))) (pow x 2))) (* 2 y))) (pow x 2))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))) (pow x 2))) (+ (* -2 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))))) (* y (* (pow z 2) (+ z (* -1 z))))) (pow x 3))) (* 2 y)))) (pow x 2))
(* 2 (/ y (pow x 2)))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (* 2 y)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))) x)) (* 2 (* y (+ z (* -1 z))))) x)) (* 2 y)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (* (pow z 2) (+ z (* -1 z)))) (* (+ z (* -1 z)) (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))))) x)) (* 2 (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))))) x)) (* 2 (* y (+ z (* -1 z))))) x)) (* 2 y)) (pow x 2))
(pow x 2)
(+ (* z (+ x (* -1 x))) (pow x 2))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z))))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

Outputs
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ (+ x z) y)
(/.f64 (+.f64 x z) y)
(/ x y)
(/.f64 x y)
(+ (/ x y) (/ z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+ (/ x y) (/ z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+ (/ x y) (/ z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/ z y)
(/.f64 z y)
(* z (+ (/ 1 y) (/ x (* y z))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z y))
(* z (+ (/ 1 y) (/ x (* y z))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z y))
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(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z y))
(/ z y)
(/.f64 z y)
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z y))
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z y))
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z y))
(/ z y)
(/.f64 z y)
(+ (/ x y) (/ z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+ (/ x y) (/ z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+ (/ x y) (/ z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (/ z (* x y))))
(fma.f64 x (/.f64 z (*.f64 x y)) (/.f64 x y))
(* x (+ (/ 1 y) (/ z (* x y))))
(fma.f64 x (/.f64 z (*.f64 x y)) (/.f64 x y))
(* x (+ (/ 1 y) (/ z (* x y))))
(fma.f64 x (/.f64 z (*.f64 x y)) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))
(fma.f64 x (/.f64 z (*.f64 x y)) (/.f64 x y))
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(fma.f64 x (/.f64 z (*.f64 x y)) (/.f64 x y))
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(fma.f64 x (/.f64 z (*.f64 x y)) (/.f64 x y))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
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(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
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(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
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(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
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(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
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(* (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))))
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(* 1/2 (+ y (/ (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
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(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 z (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64)))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 z (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64)))
(* -1/2 (/ (pow z 2) y))
(fma.f64 z (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(fma.f64 z (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 x (/.f64 x y) y) (/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 x (/.f64 x y) y) (/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(* -1/2 (/ (pow z 2) y))
(fma.f64 z (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(fma.f64 z (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal 0 binary64)) z)))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal 0 binary64)) z)))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)))) y)
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 y (fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 y (fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 y (fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 y (fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 y (fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 y (fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y)) (fma.f64 x (/.f64 x y) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y)) (fma.f64 x (/.f64 x y) y))
(/ (pow x 2) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 z (.f64 x y)) (/.f64 z (*.f64 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)))))))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (+.f64 (/.f64 z (.f64 x y)) (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 z (.f64 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)))))))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (+.f64 (/.f64 z (.f64 x y)) (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 z (.f64 x y)))))
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(.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 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 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 z (*.f64 x y))) #s(literal 0 binary64)) 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 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 z (*.f64 x y))) #s(literal 0 binary64)) x)))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (* (+ x z) (- x z))))
(*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))))
(* 2 (/ y (pow x 2)))
(*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(+ (* -2 (/ (* y (* z (+ x (* -1 x)))) (pow x 4))) (* 2 (/ y (pow x 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* 2 (/ y (pow x 2))) (* z (+ (* -2 (* z (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6)))))) (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(+ (* 2 (/ y (pow x 2))) (* z (+ (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))) (* z (+ (* -2 (* z (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (pow x 2))) (/ (* y (+ x (* -1 x))) (pow x 6))))) (* -2 (+ (* -1 (/ y (pow x 4))) (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))))))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(* -2 (/ y (pow z 2)))
(fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (+ (* -2 y) (* -2 (/ (* y (+ x (* -1 x))) z))) (pow z 2))
(fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ x (* -1 x))) z)) (* -2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 y (/.f64 (fma.f64 x (*.f64 x y) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ x (* -1 x))) z)) (+ (* -2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) (pow z 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) (pow z 3)))))) (pow z 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 y (/.f64 (fma.f64 x (*.f64 x y) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(* -2 (/ y (pow z 2)))
(fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (+ (* -2 y) (* 2 (/ (* y (+ x (* -1 x))) z))) (pow z 2))
(fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ x (* -1 x)))) (* 2 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) z))) z))) (pow z 2))
(/.f64 (-.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64)))
(/ (+ (* -2 y) (* -1 (/ (+ (* -2 (* y (+ x (* -1 x)))) (* -1 (/ (+ (* -2 (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* 2 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) z))) z))) z))) (pow z 2))
(/.f64 (-.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64)))
(* -2 (/ y (pow z 2)))
(fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -2 (/ y (pow z 2))) (* -2 (/ (* x (* y (+ z (* -1 z)))) (pow z 4))))
(fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -2 (/ y (pow z 2))) (* x (+ (* -2 (* x (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6))))) (* -2 (/ (* y (+ z (* -1 z))) (pow z 4))))))
(fma.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)))
(+ (* -2 (/ y (pow z 2))) (* x (+ (* -2 (/ (* y (+ z (* -1 z))) (pow z 4))) (* x (+ (* -2 (* x (+ (/ (* y (+ z (* -1 z))) (pow z 6)) (/ (* (+ z (* -1 z)) (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6)))) (pow z 2))))) (* -2 (+ (/ y (pow z 4)) (/ (* y (pow (+ z (* -1 z)) 2)) (pow z 6)))))))))
(fma.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)))
(* 2 (/ y (pow x 2)))
(*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (* 2 y)) (pow x 2))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))) (pow x 2))) (* 2 y))) (pow x 2))
(/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (+ (* -2 (/ (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))) (pow x 2))) (+ (* -2 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (* y (pow z 2))) (* -1 (* y (pow (+ z (* -1 z)) 2)))))) (* y (* (pow z 2) (+ z (* -1 z))))) (pow x 3))) (* 2 y)))) (pow x 2))
(/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* 2 (/ y (pow x 2)))
(*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/ (+ (* -2 (/ (* y (+ z (* -1 z))) x)) (* 2 y)) (pow x 2))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))) x)) (* 2 (* y (+ z (* -1 z))))) x)) (* 2 y)) (pow x 2))
(/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* y (* (pow z 2) (+ z (* -1 z)))) (* (+ z (* -1 z)) (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))))) x)) (* 2 (+ (* y (pow z 2)) (* y (pow (+ z (* -1 z)) 2))))) x)) (* 2 (* y (+ z (* -1 z))))) x)) (* 2 y)) (pow x 2))
(/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* z (+ x (* -1 x))) (pow x 2))
(fma.f64 x x #s(literal 0 binary64))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64)) z) z)
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64)) z) z)
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64)) z) z)
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64)) z) z)
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z))))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))))) x) x)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))))) x) x)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))))) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))))) x) x)
x
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
z
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
z
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
x
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))

eval365.0ms (2.6%)

Memory: 25.7MiB live, 605.3MiB allocated
Compiler: Compiled 58 264 to 5 583 computations (90.4% saved)

prune328.0ms (2.4%)

Memory

-1.8MiB live, 601.7MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	2 299	10	2 309
Fresh	6	4	10
Picked	2	3	5
Done	0	1	1
Total	2 307	18	2 325

Accuracy

100.0%

Counts

2 325 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))) #s(literal 0 binary64))
✓	70.4%	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
	35.3%	(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
	65.6%	(/.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 2 binary64) (-.f64 x z)))
▶	33.4%	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
	28.5%	(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) y)
	28.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
	65.6%	(.f64 (/.f64 (+.f64 z x) (.f64 y #s(literal 2 binary64))) (-.f64 x z))
	31.6%	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
▶	28.4%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
	65.8%	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
▶	65.6%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x z)) (+.f64 z x))
▶	59.0%	(.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
✓	31.6%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	64.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
	43.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (/.f64 y x) (.f64 #s(literal 1 binary64) x)) (/.f64 y x)))
✓	36.1%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 410 to 278 computations (32.2% saved)

simplify349.0ms (2.5%)

Memory

-9.2MiB live, 523.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
✓	cost-diff	0	(fma.f64 z z #s(literal 0 binary64))
✓	cost-diff	64	(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
✓	cost-diff	448	(.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x z))
✓	cost-diff	-64	(*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 z z #s(literal 0 binary64))
✓	cost-diff	64	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))
✓	cost-diff	1024	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))

Rules

12 088×	`accelerator-lowering-fma.f32`
12 088×	`accelerator-lowering-fma.f64`
3 438×	`-lowering-.f32`
3 438×	`-lowering-.f64`
1 814×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	83	173
2	265	173
3	844	171
4	2646	170
5	5271	169
0	8115	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)))
1
(/ 1 (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0))
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
1/2
(+ (* (+ z x) (/ (- x z) y)) y)
(+ z x)
z
x
(/ (- x z) y)
(- x z)
y
0
(* (/ 1/2 y) (* x x))
(/ 1/2 y)
1/2
y
(* x x)
x
(/ (* (+ (* z z) 0) -1/2) y)
(* (+ (* z z) 0) -1/2)
(+ (* z z) 0)
z
0
-1/2
y
(* (* (/ 1/2 y) (- x z)) (+ z x))
(* (/ 1/2 y) (- x z))
(/ 1/2 y)
1/2
y
(- x z)
x
z
(+ z x)
(* y (+ (* (+ (* z z) 0) (/ -1/2 (* y y))) 1/2))
y
(+ (* (+ (* z z) 0) (/ -1/2 (* y y))) 1/2)
(+ (* z z) 0)
z
0
(/ -1/2 (* y y))
-1/2
(* y y)
1/2

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

localize136.0ms (1%)

Memory

18.9MiB live, 172.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.1%	(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
✓	accuracy	93.4%	(.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) #s(literal 1/2 binary64)))
✓	accuracy	85.5%	(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x z)) (+.f64 z x))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x z))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64))
✓	accuracy	90.5%	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	87.9%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))

Samples

100.0ms

256×

valid

Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 54.0ms (67.4% of total)

ival-mult: 18.0ms (22.5% of total)

ival-add: 6.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.2%)

Memory

-20.6MiB live, 54.1MiB allocated

Counts

19 → 468

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)))>
#<alt (/ 1 (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0))>
#<alt (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)>
#<alt (+ (* (+ z x) (/ (- x z) y)) y)>
#<alt (/ 1/2 y)>
#<alt (* (/ 1/2 y) (* x x))>
#<alt (* x x)>
#<alt (/ (* (+ (* z z) 0) -1/2) y)>
#<alt (+ (* z z) 0)>
#<alt (* (+ (* z z) 0) -1/2)>
#<alt (* (/ 1/2 y) (- x z))>
#<alt (- x z)>
#<alt (+ z x)>
#<alt (* y (+ (* (+ (* z z) 0) (/ -1/2 (* y y))) 1/2))>
#<alt (+ (* (+ (* z z) 0) (/ -1/2 (* y y))) 1/2)>
#<alt (/ -1/2 (* y y))>
#<alt (/ (- x z) y)>
#<alt (* (* (/ 1/2 y) (- x z)) (+ z x))>
#<alt (* y y)>

Outputs
#<alt (* 1/2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (+ y (* -1 (/ (pow z 2) y))))>
#<alt (+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<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))))>
#<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))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (/ 2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* -2 (/ (* z (+ (* -1 (/ x y)) (/ x y))) (pow (+ y (/ (pow x 2) y)) 2))) (* 2 (/ 1 (+ y (/ (pow x 2) y)))))>
#<alt (+ (* z (- (* z (- (* 2 (/ 1 (* y (pow (+ y (/ (pow x 2) y)) 2)))) (* -2 (/ (pow (+ (* -1 (/ x y)) (/ x y)) 2) (pow (+ y (/ (pow x 2) y)) 3))))) (* 2 (/ (+ (* -1 (/ x y)) (/ x y)) (pow (+ y (/ (pow x 2) y)) 2))))) (* 2 (/ 1 (+ y (/ (pow x 2) y)))))>
#<alt (+ (* z (- (* z (- (+ (* -1 (* z (+ (* 2 (/ (+ (* -1 (/ x y)) (/ x y)) (* y (pow (+ y (/ (pow x 2) y)) 3)))) (/ (* (+ (* -1 (/ x y)) (/ x y)) (- (* 2 (/ 1 (* y (pow (+ y (/ (pow x 2) y)) 2)))) (* -2 (/ (pow (+ (* -1 (/ x y)) (/ x y)) 2) (pow (+ y (/ (pow x 2) y)) 3))))) (+ y (/ (pow x 2) y)))))) (* 2 (/ 1 (* y (pow (+ y (/ (pow x 2) y)) 2))))) (* -2 (/ (pow (+ (* -1 (/ x y)) (/ x y)) 2) (pow (+ y (/ (pow x 2) y)) 3))))) (* 2 (/ (+ (* -1 (/ x y)) (/ x y)) (pow (+ y (/ (pow x 2) y)) 2))))) (* 2 (/ 1 (+ y (/ (pow x 2) y)))))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (/ (+ (* -2 y) (* -2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z))) (pow z 2))>
#<alt (/ (- (+ (* -2 y) (* -1 (/ (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)))) (pow z 2)))) (* 2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z))) (pow z 2))>
#<alt (/ (- (+ (* -2 y) (* -1 (/ (+ (* 2 (* (pow y 3) (* (+ y (/ (pow x 2) y)) (+ (* -1 (/ x y)) (/ x y))))) (* y (* (+ (* -1 (/ x y)) (/ x y)) (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2))))))) (pow z 3)))) (+ (* 2 (/ (* (pow y 2) (+ y (/ (pow x 2) y))) (pow z 2))) (+ (* 2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z)) (* 2 (/ (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)) (pow z 2)))))) (pow z 2))>
#<alt (* -2 (/ y (pow z 2)))>
#<alt (/ (+ (* -2 y) (* 2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z))) (pow z 2))>
#<alt (/ (+ (* -2 y) (* -1 (/ (- (+ (* 2 (/ (* (pow y 2) (+ y (/ (pow x 2) y))) z)) (* 2 (/ (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)) z))) (* 2 (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))))) z))) (pow z 2))>
#<alt (/ (+ (* -2 y) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow y 3) (* (+ y (/ (pow x 2) y)) (+ (* -1 (/ x y)) (/ x y)))) z)) (/ (* y (* (+ (* -1 (/ x y)) (/ x y)) (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)))))) z)) (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2))))) z)) (* 2 (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))))) z))) (pow z 2))>
#<alt (/ 2 (+ y (* -1 (/ (pow z 2) y))))>
#<alt (+ (* -2 (/ (* x (+ (* -1 (/ z y)) (/ z y))) (pow (+ y (* -1 (/ (pow z 2) y))) 2))) (* 2 (/ 1 (+ y (* -1 (/ (pow z 2) y))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (+ (* -1 (/ z y)) (/ z y)) 2) (pow (+ y (* -1 (/ (pow z 2) y))) 3))) (* 2 (/ 1 (* y (pow (+ y (* -1 (/ (pow z 2) y))) 2))))))) (* 2 (/ (+ (* -1 (/ z y)) (/ z y)) (pow (+ y (* -1 (/ (pow z 2) y))) 2))))) (* 2 (/ 1 (+ y (* -1 (/ (pow z 2) y))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (+ (* -1 (/ z y)) (/ z y)) (* y (pow (+ y (* -1 (/ (pow z 2) y))) 3)))) (* -1 (/ (* (+ (* -2 (/ (pow (+ (* -1 (/ z y)) (/ z y)) 2) (pow (+ y (* -1 (/ (pow z 2) y))) 3))) (* 2 (/ 1 (* y (pow (+ y (* -1 (/ (pow z 2) y))) 2))))) (+ (* -1 (/ z y)) (/ z y))) (+ y (* -1 (/ (pow z 2) y)))))))) (+ (* -2 (/ (pow (+ (* -1 (/ z y)) (/ z y)) 2) (pow (+ y (* -1 (/ (pow z 2) y))) 3))) (* 2 (/ 1 (* y (pow (+ y (* -1 (/ (pow z 2) y))) 2))))))) (* 2 (/ (+ (* -1 (/ z y)) (/ z y)) (pow (+ y (* -1 (/ (pow z 2) y))) 2))))) (* 2 (/ 1 (+ y (* -1 (/ (pow z 2) y))))))>
#<alt (* 2 (/ y (pow x 2)))>
#<alt (/ (+ (* -2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x)) (* 2 y)) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))))) (pow x 2))) (* 2 y)) (* 2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow y 3) (* (+ y (* -1 (/ (pow z 2) y))) (+ (* -1 (/ z y)) (/ z y))))) (* -1 (* y (* (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))))) (+ (* -1 (/ z y)) (/ z y)))))) (pow x 3))) (* 2 y)) (+ (* -2 (/ (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2)) (pow x 2))) (+ (* 2 (/ (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))) (pow x 2))) (* 2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x))))) (pow x 2))>
#<alt (* 2 (/ y (pow x 2)))>
#<alt (/ (+ (* -2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x)) (* 2 y)) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -2 (/ (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2)) x)) (* 2 (/ (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))) x))) (* -2 (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))))) x)) (* 2 y)) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow y 3) (* (+ y (* -1 (/ (pow z 2) y))) (+ (* -1 (/ z y)) (/ z y)))) x)) (/ (* y (* (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))))) (+ (* -1 (/ z y)) (/ z y)))) x)) (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y))))))) x)) (* -2 (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))))) x)) (* 2 y)) (pow x 2))>
#<alt (* 2 (/ y (* (+ x z) (- x z))))>
#<alt (* y (+ (* -2 (/ (pow y 2) (* (pow (+ x z) 2) (pow (- x z) 2)))) (* 2 (/ 1 (* (+ x z) (- x z))))))>
#<alt (* y (+ (* (pow y 2) (- (* 2 (/ (pow y 2) (* (pow (+ x z) 3) (pow (- x z) 3)))) (* 2 (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2)))))) (* 2 (/ 1 (* (+ x z) (- x z))))))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (* (pow (+ x z) 4) (pow (- x z) 4)))) (* 2 (/ 1 (* (pow (+ x z) 3) (pow (- x z) 3)))))) (* 2 (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2)))))) (* 2 (/ 1 (* (+ x z) (- x z))))))>
#<alt (/ 2 y)>
#<alt (/ (+ 2 (* -2 (/ (* (+ x z) (- x z)) (pow y 2)))) y)>
#<alt (/ (- (+ 2 (* 2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4)))) (* 2 (/ (* (+ x z) (- x z)) (pow y 2)))) y)>
#<alt (/ (- (+ 2 (* -2 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (* 2 (/ (* (+ x z) (- x z)) (pow y 2))))) y)>
#<alt (/ 2 y)>
#<alt (* -1 (/ (- (* 2 (/ (* (+ x z) (- x z)) (pow y 2))) 2) y))>
#<alt (* -1 (/ (- (* -2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (+ 2 (* -2 (/ (* (+ x z) (- x z)) (pow y 2))))) y))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6))) (+ 2 (+ (* -2 (/ (* (+ x z) (- x z)) (pow y 2))) (* 2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4)))))) y))>
#<alt (* 1/2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
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#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

117 calls:

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

rewrite1.3s (9.1%)

Memory

9.9MiB live, 1 019.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 080×	`accelerator-lowering-fma.f32`
6 080×	`accelerator-lowering-fma.f64`
4 448×	`-lowering-.f32`
4 448×	`-lowering-.f64`
4 340×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	141
1	198	139
2	1981	135
0	8273	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 638

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)))
(/ 1 (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0))
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
(+ (* (+ z x) (/ (- x z) y)) y)
(/ 1/2 y)
(* (/ 1/2 y) (* x x))
(* x x)
(/ (* (+ (* z z) 0) -1/2) y)
(+ (* z z) 0)
(* (+ (* z z) 0) -1/2)
(* (/ 1/2 y) (- x z))
(- x z)
(+ z x)
(* y (+ (* (+ (* z z) 0) (/ -1/2 (* y y))) 1/2))
(+ (* (+ (* z z) 0) (/ -1/2 (* y y))) 1/2)
(/ -1/2 (* y y))
(/ (- x z) y)
(* (* (/ 1/2 y) (- x z)) (+ z x))
(* y y)

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

simplify339.0ms (2.5%)

Memory

32.2MiB live, 570.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 874×	`accelerator-lowering-fma.f32`
3 874×	`accelerator-lowering-fma.f64`
3 818×	`-lowering-.f32`
3 818×	`-lowering-.f64`
1 906×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	5744
1	1714	5072
2	7168	4653
0	8605	4481

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(/ 2 (+ y (/ (pow x 2) y)))
(+ (* -2 (/ (* z (+ (* -1 (/ x y)) (/ x y))) (pow (+ y (/ (pow x 2) y)) 2))) (* 2 (/ 1 (+ y (/ (pow x 2) y)))))
(+ (* z (- (* z (- (* 2 (/ 1 (* y (pow (+ y (/ (pow x 2) y)) 2)))) (* -2 (/ (pow (+ (* -1 (/ x y)) (/ x y)) 2) (pow (+ y (/ (pow x 2) y)) 3))))) (* 2 (/ (+ (* -1 (/ x y)) (/ x y)) (pow (+ y (/ (pow x 2) y)) 2))))) (* 2 (/ 1 (+ y (/ (pow x 2) y)))))
(+ (* z (- (* z (- (+ (* -1 (* z (+ (* 2 (/ (+ (* -1 (/ x y)) (/ x y)) (* y (pow (+ y (/ (pow x 2) y)) 3)))) (/ (* (+ (* -1 (/ x y)) (/ x y)) (- (* 2 (/ 1 (* y (pow (+ y (/ (pow x 2) y)) 2)))) (* -2 (/ (pow (+ (* -1 (/ x y)) (/ x y)) 2) (pow (+ y (/ (pow x 2) y)) 3))))) (+ y (/ (pow x 2) y)))))) (* 2 (/ 1 (* y (pow (+ y (/ (pow x 2) y)) 2))))) (* -2 (/ (pow (+ (* -1 (/ x y)) (/ x y)) 2) (pow (+ y (/ (pow x 2) y)) 3))))) (* 2 (/ (+ (* -1 (/ x y)) (/ x y)) (pow (+ y (/ (pow x 2) y)) 2))))) (* 2 (/ 1 (+ y (/ (pow x 2) y)))))
(* -2 (/ y (pow z 2)))
(/ (+ (* -2 y) (* -2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z))) (pow z 2))
(/ (- (+ (* -2 y) (* -1 (/ (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)))) (pow z 2)))) (* 2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z))) (pow z 2))
(/ (- (+ (* -2 y) (* -1 (/ (+ (* 2 (* (pow y 3) (* (+ y (/ (pow x 2) y)) (+ (* -1 (/ x y)) (/ x y))))) (* y (* (+ (* -1 (/ x y)) (/ x y)) (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2))))))) (pow z 3)))) (+ (* 2 (/ (* (pow y 2) (+ y (/ (pow x 2) y))) (pow z 2))) (+ (* 2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z)) (* 2 (/ (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)) (pow z 2)))))) (pow z 2))
(* -2 (/ y (pow z 2)))
(/ (+ (* -2 y) (* 2 (/ (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))) z))) (pow z 2))
(/ (+ (* -2 y) (* -1 (/ (- (+ (* 2 (/ (* (pow y 2) (+ y (/ (pow x 2) y))) z)) (* 2 (/ (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)) z))) (* 2 (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))))) z))) (pow z 2))
(/ (+ (* -2 y) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow y 3) (* (+ y (/ (pow x 2) y)) (+ (* -1 (/ x y)) (/ x y)))) z)) (/ (* y (* (+ (* -1 (/ x y)) (/ x y)) (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2)))))) z)) (+ (* 2 (* (pow y 2) (+ y (/ (pow x 2) y)))) (* 2 (* (pow y 3) (pow (+ (* -1 (/ x y)) (/ x y)) 2))))) z)) (* 2 (* (pow y 2) (+ (* -1 (/ x y)) (/ x y))))) z))) (pow z 2))
(/ 2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* -2 (/ (* x (+ (* -1 (/ z y)) (/ z y))) (pow (+ y (* -1 (/ (pow z 2) y))) 2))) (* 2 (/ 1 (+ y (* -1 (/ (pow z 2) y))))))
(+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (+ (* -1 (/ z y)) (/ z y)) 2) (pow (+ y (* -1 (/ (pow z 2) y))) 3))) (* 2 (/ 1 (* y (pow (+ y (* -1 (/ (pow z 2) y))) 2))))))) (* 2 (/ (+ (* -1 (/ z y)) (/ z y)) (pow (+ y (* -1 (/ (pow z 2) y))) 2))))) (* 2 (/ 1 (+ y (* -1 (/ (pow z 2) y))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (+ (* -1 (/ z y)) (/ z y)) (* y (pow (+ y (* -1 (/ (pow z 2) y))) 3)))) (* -1 (/ (* (+ (* -2 (/ (pow (+ (* -1 (/ z y)) (/ z y)) 2) (pow (+ y (* -1 (/ (pow z 2) y))) 3))) (* 2 (/ 1 (* y (pow (+ y (* -1 (/ (pow z 2) y))) 2))))) (+ (* -1 (/ z y)) (/ z y))) (+ y (* -1 (/ (pow z 2) y)))))))) (+ (* -2 (/ (pow (+ (* -1 (/ z y)) (/ z y)) 2) (pow (+ y (* -1 (/ (pow z 2) y))) 3))) (* 2 (/ 1 (* y (pow (+ y (* -1 (/ (pow z 2) y))) 2))))))) (* 2 (/ (+ (* -1 (/ z y)) (/ z y)) (pow (+ y (* -1 (/ (pow z 2) y))) 2))))) (* 2 (/ 1 (+ y (* -1 (/ (pow z 2) y))))))
(* 2 (/ y (pow x 2)))
(/ (+ (* -2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x)) (* 2 y)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))))) (pow x 2))) (* 2 y)) (* 2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow y 3) (* (+ y (* -1 (/ (pow z 2) y))) (+ (* -1 (/ z y)) (/ z y))))) (* -1 (* y (* (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))))) (+ (* -1 (/ z y)) (/ z y)))))) (pow x 3))) (* 2 y)) (+ (* -2 (/ (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2)) (pow x 2))) (+ (* 2 (/ (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))) (pow x 2))) (* 2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x))))) (pow x 2))
(* 2 (/ y (pow x 2)))
(/ (+ (* -2 (/ (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))) x)) (* 2 y)) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -2 (/ (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2)) x)) (* 2 (/ (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))) x))) (* -2 (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))))) x)) (* 2 y)) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow y 3) (* (+ y (* -1 (/ (pow z 2) y))) (+ (* -1 (/ z y)) (/ z y)))) x)) (/ (* y (* (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y)))))) (+ (* -1 (/ z y)) (/ z y)))) x)) (+ (* -2 (* (pow y 3) (pow (+ (* -1 (/ z y)) (/ z y)) 2))) (* 2 (* (pow y 2) (+ y (* -1 (/ (pow z 2) y))))))) x)) (* -2 (* (pow y 2) (+ (* -1 (/ z y)) (/ z y))))) x)) (* 2 y)) (pow x 2))
(* 2 (/ y (* (+ x z) (- x z))))
(* y (+ (* -2 (/ (pow y 2) (* (pow (+ x z) 2) (pow (- x z) 2)))) (* 2 (/ 1 (* (+ x z) (- x z))))))
(* y (+ (* (pow y 2) (- (* 2 (/ (pow y 2) (* (pow (+ x z) 3) (pow (- x z) 3)))) (* 2 (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2)))))) (* 2 (/ 1 (* (+ x z) (- x z))))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (* (pow (+ x z) 4) (pow (- x z) 4)))) (* 2 (/ 1 (* (pow (+ x z) 3) (pow (- x z) 3)))))) (* 2 (/ 1 (* (pow (+ x z) 2) (pow (- x z) 2)))))) (* 2 (/ 1 (* (+ x z) (- x z))))))
(/ 2 y)
(/ (+ 2 (* -2 (/ (* (+ x z) (- x z)) (pow y 2)))) y)
(/ (- (+ 2 (* 2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4)))) (* 2 (/ (* (+ x z) (- x z)) (pow y 2)))) y)
(/ (- (+ 2 (* -2 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6)))) (+ (* -2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (* 2 (/ (* (+ x z) (- x z)) (pow y 2))))) y)
(/ 2 y)
(* -1 (/ (- (* 2 (/ (* (+ x z) (- x z)) (pow y 2))) 2) y))
(* -1 (/ (- (* -2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4))) (+ 2 (* -2 (/ (* (+ x z) (- x z)) (pow y 2))))) y))
(* -1 (/ (- (* 2 (/ (* (pow (+ x z) 3) (pow (- x z) 3)) (pow y 6))) (+ 2 (+ (* -2 (/ (* (+ x z) (- x z)) (pow y 2))) (* 2 (/ (* (pow (+ x z) 2) (pow (- x z) 2)) (pow y 4)))))) y))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* -1 (/ (pow z 2) y))
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(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
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(* (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)))))))
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y
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x
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(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
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(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
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1/2
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(* -1/2 (/ (pow z 2) y))
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(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
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(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

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

eval385.0ms (2.8%)

Memory: -12.2MiB live, 850.6MiB allocated
Compiler: Compiled 77 313 to 5 343 computations (93.1% saved)

prune406.0ms (2.9%)

Memory

-1.7MiB live, 676.0MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	2 338	6	2 344
Fresh	2	7	9
Picked	5	0	5
Done	0	4	4
Total	2 345	17	2 362

Accuracy

100.0%

Counts

2 362 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))) #s(literal 0 binary64))
✓	70.4%	(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))
	65.6%	(/.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 2 binary64) (-.f64 x z)))
	33.4%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
	28.5%	(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) y)
	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) (.f64 z z)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 x y) y)))
	33.4%	(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) y))
	65.6%	(.f64 (/.f64 (+.f64 z x) (.f64 y #s(literal 2 binary64))) (-.f64 x z))
	31.6%	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
	65.8%	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
	35.3%	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
✓	31.6%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	64.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
	43.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (/.f64 y x) (.f64 #s(literal 1 binary64) x)) (/.f64 y x)))
✓	36.1%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 706 to 268 computations (62% saved)

regimes74.0ms (0.5%)

Memory

12.1MiB live, 131.0MiB allocated

Counts

43 → 1

Calls

Call 1

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

Outputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))

Calls

6 calls:

15.0ms	x
13.0ms	z
12.0ms	y
12.0ms	(*.f64 x x)
11.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes43.0ms (0.3%)

Memory

13.6MiB live, 90.2MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))

Calls

6 calls:

8.0ms	y
8.0ms	(*.f64 x x)
7.0ms	x
6.0ms	z
6.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.4%	2	`x`
87.7%	2	`y`
89.6%	2	`z`
97.8%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
87.4%	2	`(*.f64 x x)`
89.6%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0%)

Memory

-20.9MiB live, 17.7MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) y)
(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))

Outputs

(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))

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

(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
97.6%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0%)

Memory

14.0MiB live, 13.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) y)
(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes40.0ms (0.3%)

Memory

-10.1MiB live, 41.3MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
56.7%	3	`(*.f64 x x)`
59.0%	3	`x`
57.0%	2	`y`
59.7%	3	`z`
59.7%	3	`(*.f64 z z)`
73.4%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory

-13.5MiB live, 24.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	(*.f64 x x)
2.0ms	y
2.0ms	x
2.0ms	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
52.1%	2	`(*.f64 x x)`
53.1%	2	`y`
52.1%	2	`x`
38.2%	2	`(*.f64 z z)`
38.2%	2	`z`
41.5%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
36.1%	1	`z`
36.1%	1	`(*.f64 z z)`
36.1%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
36.1%	1	`x`
36.1%	1	`(*.f64 x x)`
36.1%	1	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-5.250019932959016e-136	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-5.250019932959016e-136	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.250019932959016e-136	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.0583572523010638e+148	6.778249992596745e+152
0.0ms	-5.250019932959016e-136	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch16.0ms (0.1%)

Memory

0.7MiB live, 38.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	20353813378155274000.0	7.838220585346344e+21

Samples

10.0ms

128×

valid

Compiler

Compiled 165 to 129 computations (21.8% saved)

Precisions

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

ival-mult: 3.0ms (56.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Memory

-7.5MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	261
1	79	261
2	95	261
3	106	261
4	113	261
5	116	261
6	117	261

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x z)) (+.f64 z x)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))) #s(literal 0 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)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 binary64)) (.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 y #s(literal 3200000000000000000000 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

Outputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x z)) (+.f64 z x)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))) #s(literal 0 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)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936 binary64)) (.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 y #s(literal 3200000000000000000000 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

soundness1.4s (10.4%)

Memory

16.9MiB live, 887.4MiB allocated

Rules

11 866×	`accelerator-lowering-fma.f32`
11 866×	`accelerator-lowering-fma.f64`
7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
6 514×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	133
1	197	125
2	1918	125
0	8904	121
0	33	137
1	211	135
2	2010	135
0	9039	128
0	30	141
1	198	139
2	1981	135
0	8273	129
0	308	4555
1	970	4285
2	3317	4159
0	8191	3963
0	71	1128
1	196	1128
2	566	1042
3	2179	1028
4	6045	1004
0	8180	918

Stop Event

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

Compiler

Compiled 435 to 173 computations (60.2% saved)

preprocess66.0ms (0.5%)

Memory

11.4MiB live, 164.8MiB allocated

Remove

(negabs y)

(abs z)

(abs x)

Compiler

Compiled 714 to 210 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.3%)

sample1.5s (10.6%)

preprocess734.0ms (5.3%)

explain152.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify556.0ms (4%)

localize47.0ms (0.3%)

series39.0ms (0.3%)

rewrite635.0ms (4.6%)

simplify845.0ms (6.1%)

eval120.0ms (0.9%)

prune258.0ms (1.9%)

simplify505.0ms (3.6%)

localize95.0ms (0.7%)

series49.0ms (0.4%)

rewrite535.0ms (3.9%)

simplify437.0ms (3.2%)

eval303.0ms (2.2%)

prune249.0ms (1.8%)

simplify366.0ms (2.6%)

localize95.0ms (0.7%)

series55.0ms (0.4%)

rewrite634.0ms (4.6%)

simplify294.0ms (2.1%)

eval365.0ms (2.6%)

prune328.0ms (2.4%)

simplify349.0ms (2.5%)

localize136.0ms (1%)

series29.0ms (0.2%)

rewrite1.3s (9.1%)

simplify339.0ms (2.5%)

eval385.0ms (2.8%)

prune406.0ms (2.9%)

regimes74.0ms (0.5%)

regimes43.0ms (0.3%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes40.0ms (0.3%)

regimes29.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.1%)

simplify14.0ms (0.1%)

soundness1.4s (10.4%)

preprocess66.0ms (0.5%)

end0.0ms (0%)

Profiling