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

analyze50.0ms (0.4%)

Memory

-19.7MiB live, 104.1MiB 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)

sample1.8s (15.4%)

Memory

40.0MiB live, 1 386.2MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 715.0ms (69.6% of total)

ival-add: 111.0ms (10.8% of total)

ival-sub: 108.0ms (10.5% of total)

ival-div: 79.0ms (7.7% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess588.0ms (5.1%)

Memory

-59.1MiB live, 605.1MiB 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)

explain138.0ms (1.2%)

Memory

35.6MiB live, 272.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
67	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
24	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	63	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	151
↳	`(*.f64 y y)`	overflow	62
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	63
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	24	0
↳	`(*.f64 y y)`	overflow	62
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	63
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/o	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	151
↳	`(*.f64 y y)`	overflow	62
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	63
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	2
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	2
↳	`(*.f64 y y)`	underflow	79
↳	`(*.f64 x x)`	underflow	73
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	17
↳	`(*.f64 z z)`	underflow	63

Confusion

	Predicted +	Predicted -
+	77	0
-	0	179

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	77	0	0
-	0	0	179

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	179
1	63
2	14

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: 14.0ms (61.8% of total)

ival-div: 4.0ms (17.6% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% 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: 0.4MiB live, 0.4MiB 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
▶	71.2%	(/.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)

simplify411.0ms (3.6%)

Memory

-8.5MiB live, 743.0MiB 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)

localize32.0ms (0.3%)

Memory

16.3MiB live, 95.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	91.7%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	75.7%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 6.0ms (53.1% of total)

ival-sub: 2.0ms (17.7% of total)

ival-div: 2.0ms (17.7% of total)

ival-add: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-11.0MiB live, 27.8MiB allocated

Counts

5 → 120

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)>
#<alt (* y 2)>

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)>
#<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

30 calls:

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

rewrite501.0ms (4.4%)

Memory

5.1MiB live, 727.3MiB 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	39
1	61	39
2	562	39
0	8272	36

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 536

Calls

Call 1

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

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))))
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simplify477.0ms (4.1%)

Memory

-11.8MiB live, 495.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
4 760×	`-lowering-.f32`
4 760×	`-lowering-.f64`
1 680×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval83.0ms (0.7%)

Memory: -3.1MiB live, 169.1MiB allocated
Compiler: Compiled 27 129 to 1 632 computations (94% saved)

prune94.0ms (0.8%)

Memory

5.8MiB live, 234.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

657 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
	36.5%	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
	27.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (fma.f64 x x (fma.f64 y y (.f64 z z)))))) (fma.f64 x x (fma.f64 y y (*.f64 z z))))
▶	27.1%	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
▶	62.4%	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))
	42.3%	(/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 y #s(literal 2 binary64)))
	73.7%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) y))
	69.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
▶	56.4%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
▶	33.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 308 to 188 computations (39% saved)

simplify359.0ms (3.1%)

Memory

11.1MiB live, 700.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

15 600×	`accelerator-lowering-fma.f32`
15 600×	`accelerator-lowering-fma.f64`
2 398×	`+-lowering-+.f64`
2 398×	`+-lowering-+.f32`
2 246×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
1	58	123
2	154	123
3	431	123
4	1385	123
5	3589	123
6	7107	123
0	8160	121

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

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

localize75.0ms (0.6%)

Memory

-17.8MiB live, 176.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 (+.f64 z x) (-.f64 x z))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	87.9%	(/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
✓	accuracy	100.0%	(-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y))
✓	accuracy	84.8%	(/.f64 (fma.f64 z z #s(literal 0 binary64)) y)
✓	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	84.7%	(/.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 (-.f64 x z) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

42.0ms

256×

valid

Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (45.1% of total)

ival-div: 6.0ms (22.6% of total)

ival-add: 5.0ms (18.8% of total)

ival-sub: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Memory

34.6MiB live, 34.6MiB allocated

Counts

15 → 360

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

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

90 calls:

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

rewrite454.0ms (3.9%)

Memory

8.7MiB live, 672.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 862×	`accelerator-lowering-fma.f32`
5 862×	`accelerator-lowering-fma.f64`
5 402×	`/-lowering-/.f32`
5 402×	`/-lowering-/.f64`
4 334×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	153	95
2	1524	95
0	8236	93

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 132

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

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

simplify419.0ms (3.6%)

Memory

3.7MiB live, 635.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 008×	`accelerator-lowering-fma.f32`
10 008×	`accelerator-lowering-fma.f64`
3 648×	`+-lowering-+.f64`
3 648×	`+-lowering-+.f32`
3 526×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	3432
1	970	3007
2	3392	2902
0	8152	2822

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

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

eval241.0ms (2.1%)

Memory: -0.6MiB live, 481.7MiB allocated
Compiler: Compiled 46 210 to 3 817 computations (91.7% saved)

prune349.0ms (3%)

Memory

-21.2MiB live, 507.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 713	12	1 725
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	1 719	16	1 735

Accuracy

100.0%

Counts

1 735 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
	39.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 z x) (/.f64 y (.f64 (fma.f64 z (+.f64 z x) (.f64 x x)) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))) y) #s(literal 0 binary64))
	99.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
▶	99.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y) #s(literal 0 binary64))
▶	79.2%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
▶	36.5%	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
	27.1%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
	73.7%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) y))
	68.6%	(.f64 (/.f64 (-.f64 x z) (.f64 y #s(literal 2 binary64))) (+.f64 z x))
▶	31.3%	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
	85.7%	(.f64 y (fma.f64 (-.f64 x z) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
	51.9%	(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
	69.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
	56.4%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
▶	62.8%	(.f64 #s(literal 1/2 binary64) (.f64 y (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))))
✓	33.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 482 to 303 computations (37.1% saved)

simplify420.0ms (3.7%)

Memory

9.8MiB live, 642.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	cost-diff	0	(/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y)))
✓	cost-diff	0	(fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))
✓	cost-diff	768	(.f64 y (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y y))) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) y)
✓	cost-diff	0	(fma.f64 z (/.f64 (-.f64 x z) y) y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 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 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	-64	(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	-64	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y) #s(literal 0 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Rules

17 428×	`accelerator-lowering-fma.f32`
17 428×	`accelerator-lowering-fma.f64`
3 930×	`-lowering-.f32`
3 930×	`-lowering-.f64`
1 608×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	176
1	95	172
2	247	165
3	870	157
4	3405	157
5	6519	157
0	8280	153

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize117.0ms (1%)

Memory

2.7MiB live, 202.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))))
✓	accuracy	95.2%	(fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))
✓	accuracy	91.8%	(.f64 y (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y y))) #s(literal 1 binary64)))
✓	accuracy	86.9%	(/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	92.7%	(fma.f64 z (/.f64 (-.f64 x z) y) y)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	88.9%	(/.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	99.7%	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
✓	accuracy	99.7%	(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(/.f64 y (-.f64 x z))
✓	accuracy	99.9%	(fma.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Samples

59.0ms

256×

valid

Compiler

Compiled 178 to 37 computations (79.2% saved)

Precisions

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

ival-mult: 17.0ms (43.2% of total)

ival-div: 11.0ms (28% of total)

ival-add: 8.0ms (20.3% of total)

ival-sub: 2.0ms (5.1% of total)

exact: 1.0ms (2.5% of total)

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

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

series34.0ms (0.3%)

Memory

19.5MiB live, 57.3MiB allocated

Counts

20 → 516

Calls

Call 1

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

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

Calls

129 calls:

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

rewrite602.0ms (5.2%)

Memory

-8.8MiB live, 671.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 964×	`/-lowering-/.f32`
3 964×	`/-lowering-/.f64`
3 706×	`-lowering-.f32`
3 706×	`-lowering-.f64`
3 682×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	139
1	229	139
2	2213	139
0	8111	132

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 829

Calls

Call 1

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

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

simplify457.0ms (4%)

Memory

-7.9MiB live, 683.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 176×	`accelerator-lowering-fma.f32`
11 176×	`accelerator-lowering-fma.f64`
5 196×	`-lowering-.f32`
5 196×	`-lowering-.f64`
3 620×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	4783
1	1332	4483
2	4388	4337
0	8150	4214

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

eval206.0ms (1.8%)

Memory: 15.2MiB live, 364.4MiB allocated
Compiler: Compiled 32 118 to 3 178 computations (90.1% saved)

prune203.0ms (1.8%)

Memory

-36.4MiB live, 336.8MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 388	11	1 399
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	1 396	19	1 415

Accuracy

100.0%

Counts

1 415 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) y) #s(literal 0 binary64))
	7.1%	(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
▶	27.1%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
	36.5%	(/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
	36.2%	(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))))
▶	71.9%	(*.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64))
	36.5%	(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y))
	68.6%	(.f64 (/.f64 (-.f64 x z) (.f64 y #s(literal 2 binary64))) (+.f64 z x))
	31.4%	(.f64 (/.f64 z (.f64 y #s(literal -2 binary64))) z)
	31.4%	(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z #s(literal -1/2 binary64)))))
✓	31.3%	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
	85.7%	(.f64 y (fma.f64 (-.f64 x z) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
	38.3%	(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
▶	38.3%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
▶	48.5%	(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (.f64 z y) y))
	69.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
	56.4%	(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
✓	62.8%	(.f64 #s(literal 1/2 binary64) (.f64 y (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))))
✓	33.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 487 to 304 computations (37.6% saved)

simplify345.0ms (3%)

Memory

31.4MiB live, 667.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
✓	cost-diff	768	(fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 z y) y)
✓	cost-diff	-64	(*.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(fma.f64 (/.f64 z y) (-.f64 x z) y)
✓	cost-diff	-64	(.f64 (.f64 z z) #s(literal -1/2 binary64))
✓	cost-diff	-64	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	cost-diff	0	(*.f64 z z)
✓	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 (+.f64 x z) y)
✓	cost-diff	0	(fma.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) y) #s(literal 0 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))

Rules

11 028×	`accelerator-lowering-fma.f32`
11 028×	`accelerator-lowering-fma.f64`
3 506×	`-lowering-.f32`
3 506×	`-lowering-.f64`
3 122×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	90	161
2	254	159
3	731	151
4	2502	151
5	4567	151
6	7959	151
0	8990	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (1.5%)

Memory

-18.4MiB live, 172.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (.f64 z y) y))
✓	accuracy	86.9%	(/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
✓	accuracy	74.3%	(fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 z y) y)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 z y) (-.f64 x z) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 (.f64 z z) #s(literal -1/2 binary64))
✓	accuracy	84.7%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) 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 (+.f64 x z) y)
✓	accuracy	99.9%	(fma.f64 (/.f64 (+.f64 x z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))

Samples

105.0ms

256×

valid

Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions

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

ival-mult: 43.0ms (66.5% of total)

ival-div: 12.0ms (18.6% of total)

ival-add: 7.0ms (10.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

21 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

rewrite357.0ms (3.1%)

Memory

-2.8MiB live, 678.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 432×	`/-lowering-/.f32`
4 432×	`/-lowering-/.f64`
3 918×	`-lowering-.f32`
3 918×	`-lowering-.f64`
2 544×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	221	133
2	2108	133
0	8560	127

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 652

Calls

Call 1

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

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

simplify582.0ms (5.1%)

Memory

-5.5MiB live, 901.6MiB allocated

Algorithm

1×	egg-herbie

Rules

21 648×	`accelerator-lowering-fma.f32`
21 648×	`accelerator-lowering-fma.f64`
5 194×	`-lowering-.f32`
5 194×	`-lowering-.f64`
4 772×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	4159
1	973	3909
2	3304	3779
0	8474	3670

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

eval185.0ms (1.6%)

Memory: 11.4MiB live, 253.1MiB allocated
Compiler: Compiled 27 294 to 2 626 computations (90.4% saved)

prune187.0ms (1.6%)

Memory

10.1MiB live, 247.2MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 238	6	1 244
Fresh	4	7	11
Picked	2	3	5
Done	0	3	3
Total	1 244	19	1 263

Accuracy

100.0%

Counts

1 263 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
✓	27.1%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
	36.5%	(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) y)
	36.2%	(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))))
	71.9%	(*.f64 (fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) y) #s(literal 1/2 binary64))
✓	71.9%	(*.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64))
	68.6%	(.f64 (/.f64 (-.f64 x z) (.f64 y #s(literal 2 binary64))) (+.f64 z x))
	31.4%	(.f64 (/.f64 z (.f64 y #s(literal -2 binary64))) z)
	38.3%	(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) x)
	36.5%	(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
	56.4%	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
	31.4%	(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z #s(literal -1/2 binary64)))))
✓	31.3%	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
	85.7%	(.f64 y (fma.f64 (-.f64 x z) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
✓	38.3%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
	48.5%	(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y y))) (*.f64 z y) y))
	69.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓	62.8%	(.f64 #s(literal 1/2 binary64) (.f64 y (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))))
✓	33.0%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 744 to 296 computations (60.2% saved)

regimes94.0ms (0.8%)

Memory

12.5MiB live, 89.4MiB allocated

Counts

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

35.0ms	z
15.0ms	(*.f64 z z)
11.0ms	y
11.0ms	x
10.0ms	(*.f64 x x)

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)

regimes86.0ms (0.7%)

Memory

-14.5MiB live, 63.7MiB allocated

Counts

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

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

Calls

6 calls:

35.0ms	y
25.0ms	(*.f64 z z)
7.0ms	x
7.0ms	z
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
91.0%	3	`x`
89.0%	2	`y`
92.3%	2	`z`
98.6%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
91.0%	3	`(*.f64 x x)`
92.3%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

18 → 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 z (.f64 y #s(literal -2 binary64))) z)
(/.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 x x #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 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y)))
(.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 (/.f64 z (.f64 y #s(literal -2 binary64))) z)
(*.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
94.5%	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)

regimes52.0ms (0.5%)

Memory

-4.4MiB live, 34.6MiB allocated

Counts

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

Calls

6 calls:

34.0ms	(*.f64 z z)
4.0ms	z
4.0ms	y
4.0ms	x
3.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
60.9%	3	`y`
62.5%	4	`x`
59.8%	3	`(*.f64 x x)`
59.5%	3	`z`
59.5%	3	`(*.f64 z z)`
73.2%	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)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

6 → 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)

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
73.1%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes34.0ms (0.3%)

Memory

-19.0MiB live, 34.3MiB 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 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)

Calls

6 calls:

24.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 z z)
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
42.9%	3	`z`
42.9%	3	`(*.f64 z z)`
56.7%	2	`(*.f64 x x)`
57.8%	2	`y`
56.7%	2	`x`
46.1%	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)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
57.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Memory

-14.3MiB live, 25.3MiB 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:

29.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
33.0%	1	`z`
33.0%	1	`(*.f64 z z)`
33.0%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
33.0%	1	`(*.f64 x x)`
33.0%	1	`x`
33.0%	1	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	4.1398997333234304e-110

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.17748183144296e-114	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.570425174707188e+149	3.7196598695020537e+155
0.0ms	-7.17748183144296e-114	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.570425174707188e+149	3.7196598695020537e+155
0.0ms	-7.17748183144296e-114	0.0

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch9.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3991851571.218324	11851813142.060146

Samples

5.0ms

80×

valid

Compiler

Compiled 111 to 87 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (62.5% of total)

ival-div: 1.0ms (31.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.4%)

Memory

-25.3MiB live, 13.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	3991851571.218324	11851813142.060146

Samples

42.0ms

80×

valid

Compiler

Compiled 111 to 87 computations (21.6% saved)

Precisions

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

ival-mult: 39.0ms (96.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	288
1	82	288
2	90	288
3	94	288
4	96	288

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 0 binary64)) (.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.f64 (/.f64 z (.f64 y #s(literal -2 binary64))) z) (*.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 -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.f64 (/.f64 z (.f64 y #s(literal -2 binary64))) z) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 #s(literal 1/2 binary64) y))) (.f64 (/.f64 z (*.f64 y #s(literal -2 binary64))) z))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.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 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 #s(literal 1/2 binary64) y))) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 y #s(literal 7500000000 binary64)) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 11500000000 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 0 binary64)) (.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 (fma.f64 (/.f64 z y) (-.f64 x z) y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (-.f64 x z) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (-.f64 x z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.f64 (/.f64 z (.f64 y #s(literal -2 binary64))) z) (*.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 -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.f64 z (/.f64 z (.f64 y #s(literal -2 binary64)))) (*.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 -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.f64 (/.f64 z (.f64 y #s(literal -2 binary64))) z) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 #s(literal 1/2 binary64) y))) (.f64 (/.f64 z (*.f64 y #s(literal -2 binary64))) z))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (.f64 z (/.f64 z (.f64 y #s(literal -2 binary64)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 #s(literal 1/2 binary64) y))) (.f64 z (/.f64 z (*.f64 y #s(literal -2 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -6931674235302037/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 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 #s(literal 1/2 binary64) y))) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 y #s(literal 7500000000 binary64)) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 11500000000 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)

soundness1.0s (8.8%)

Memory

-4.6MiB live, 572.3MiB allocated

Rules

10 008×	`accelerator-lowering-fma.f32`
10 008×	`accelerator-lowering-fma.f64`
7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
5 862×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	153	95
2	1524	95
0	8236	93
0	304	3432
1	970	3007
2	3392	2902
0	8152	2822
0	72	1164
1	198	1164
2	568	1078
3	2180	1064
4	6035	1040
0	8166	954
0	35	139
1	229	139
2	2213	139
0	8111	132

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

Compiler

Compiled 530 to 227 computations (57.2% saved)

preprocess143.0ms (1.2%)

Memory: -10.2MiB live, 143.2MiB allocated
Remove: (negabs y)
Compiler: Compiled 832 to 264 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (0.4%)

sample1.8s (15.4%)

preprocess588.0ms (5.1%)

explain138.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify411.0ms (3.6%)

localize32.0ms (0.3%)

series10.0ms (0.1%)

rewrite501.0ms (4.4%)

simplify477.0ms (4.1%)

eval83.0ms (0.7%)

prune94.0ms (0.8%)

simplify359.0ms (3.1%)

localize75.0ms (0.6%)

series24.0ms (0.2%)

rewrite454.0ms (3.9%)

simplify419.0ms (3.6%)

eval241.0ms (2.1%)

prune349.0ms (3%)

simplify420.0ms (3.7%)

localize117.0ms (1%)

series34.0ms (0.3%)

rewrite602.0ms (5.2%)

simplify457.0ms (4%)

eval206.0ms (1.8%)

prune203.0ms (1.8%)

simplify345.0ms (3%)

localize169.0ms (1.5%)

series15.0ms (0.1%)

rewrite357.0ms (3.1%)

simplify582.0ms (5.1%)

eval185.0ms (1.6%)

prune187.0ms (1.6%)

regimes94.0ms (0.8%)

regimes86.0ms (0.7%)

regimes6.0ms (0.1%)

regimes52.0ms (0.5%)

regimes3.0ms (0%)

regimes34.0ms (0.3%)

regimes2.0ms (0%)

regimes36.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch46.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.0s (8.8%)

preprocess143.0ms (1.2%)

end0.0ms (0%)

Profiling