Metrics for Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

analyze186.0ms (1.6%)

Memory

-23.3MiB live, 264.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample937.0ms (8.2%)

Memory

9.1MiB live, 1 346.9MiB allocated

Samples

583.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 213.0ms (58% of total)

ival-div: 106.0ms (28.9% of total)

ival-add: 38.0ms (10.4% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess273.0ms (2.4%)

Memory

-2.9MiB live, 46.8MiB allocated

Algorithm

2×	egg-herbie

Rules

1 238×	`unsub-neg`
1 000×	`distribute-lft-in`
984×	`distribute-rgt-in`
876×	`associate-/l*`
770×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	229
1	175	229
2	626	229
3	2111	229
4	3901	229
5	4789	229
6	4921	229
7	4981	229
8	5057	229
9	5116	229
10	5788	229
11	6092	229
12	6092	229
13	6092	229
14	6464	229
15	6640	229
16	6800	229
17	6864	229
18	6864	229
0	11	15
1	24	15
2	36	15
3	36	15
0	36	14

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))

Outputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))

Call 2

Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t)))
(+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t)))
(+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t)))
(+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t))))
(neg (+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t))))
(neg (+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t))))
(neg (+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t))))
(neg (+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t)))))
(+ (/ (* y y) (* x x)) (/ (* z z) (* t t)))
(+ (/ (* z z) (* y y)) (/ (* x x) (* t t)))
(+ (/ (* t t) (* y y)) (/ (* z z) (* x x)))
(+ (/ (* x x) (* z z)) (/ (* y y) (* t t)))
(+ (/ (* x x) (* t t)) (/ (* z z) (* y y)))
(+ (/ (* x x) (* y y)) (/ (* t t) (* z z)))

Outputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(+ (* x (/ x (* y y))) (* z (/ z (* t t))))
(+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t)))
(+ (* x (/ x (* y y))) (* z (/ z (* t t))))
(+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t)))
(+ (* x (/ x (* y y))) (* z (/ z (* t t))))
(+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t)))
(+ (* x (/ x (* y y))) (* z (/ z (* t t))))
(+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t))))
(+ (* x (/ x (* y y))) (* z (/ z (* t t))))
(neg (+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t))))
(- (* x (/ x (* y (neg y)))) (* z (/ z (* t t))))
(neg (+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t))))
(- (* x (/ x (* y (neg y)))) (* z (/ z (* t t))))
(neg (+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t))))
(- (* x (/ x (* y (neg y)))) (* z (/ z (* t t))))
(neg (+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t)))))
(- (* x (/ x (* y (neg y)))) (* z (/ z (* t t))))
(+ (/ (* y y) (* x x)) (/ (* z z) (* t t)))
(+ (* z (/ z (* t t))) (* (/ y x) (/ y x)))
(+ (/ (* z z) (* y y)) (/ (* x x) (* t t)))
(+ (/ (/ (* z z) y) y) (* x (/ x (* t t))))
(+ (/ (* t t) (* y y)) (/ (* z z) (* x x)))
(+ (* t (/ t (* y y))) (* z (/ z (* x x))))
(+ (/ (* x x) (* z z)) (/ (* y y) (* t t)))
(+ (/ (/ (* x x) z) z) (* y (/ y (* t t))))
(+ (/ (* x x) (* t t)) (/ (* z z) (* y y)))
(+ (/ (/ (* z z) y) y) (* x (/ x (* t t))))
(+ (/ (* x x) (* y y)) (/ (* t t) (* z z)))
(+ (* x (/ x (* y y))) (* t (/ t (* z z))))

Symmetry

(abs x)

(abs y)

(abs z)

(abs t)

explain415.0ms (3.6%)

Memory

24.1MiB live, 221.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
70	1	(3.2558383783923737e-167 3.482733206540741e+169 7.793484961738773e+131 4.4501176708094376e+293)	5	(1.4044371778864256e+308 1.9219437275603307e+265 7.264269059983817e-117 4.941876759439089e-157)	`(/.f64 (.f64 z z) (.f64 t t))`
58	0	-	0	-	`(/.f64 (.f64 x x) (.f64 y y))`
0	0	-	0	-	`t`
0	0	-	0	-	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`(*.f64 t t)`
0	0	-	0	-	`(*.f64 z z)`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	14	0
↳	`(*.f64 z z)`	overflow	69
↳	`(*.f64 t t)`	overflow	52
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	14	0
↳	`(*.f64 x x)`	underflow	56
↳	`(*.f64 y y)`	underflow	64
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	11	0
↳	`(*.f64 x x)`	overflow	63
↳	`(*.f64 y y)`	overflow	61
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	10	0
↳	`(*.f64 z z)`	underflow	69
↳	`(*.f64 t t)`	underflow	66
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	8	0
↳	`(*.f64 t t)`	underflow	66
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	7	0
↳	`(*.f64 t t)`	overflow	52
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	7	0
↳	`(*.f64 z z)`	overflow	69
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	6	0
↳	`(*.f64 z z)`	underflow	69
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	5	0
↳	`(*.f64 y y)`	underflow	64
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	5	0
↳	`(*.f64 x x)`	overflow	63
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	5	0
↳	`(*.f64 x x)`	underflow	56
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	3	0
↳	`(*.f64 y y)`	overflow	61

Confusion

	Predicted +	Predicted -
+	78	5
-	15	158

Precision

0.8387096774193549

Recall

0.9397590361445783

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	5
-	15	0	158

Precision?

0.8387096774193549

Recall?

0.9397590361445783

Freqs

test

number	freq
0	163
1	91
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

151.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (57.8% of total)

ival-div: 6.0ms (28.9% of total)

ival-add: 2.0ms (9.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify58.0ms (0.5%)

Memory

-32.0MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
24×	`/-lowering-/.f32`
24×	`/-lowering-/.f64`
12×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	24	45
2	36	45
3	36	45
0	36	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(/ (* z z) (* t t))
(* z z)
z
(* t t)
t

Outputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
(/ (* x x) (* y y))
(/.f64 (.f64 x x) (.f64 y y))
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(/ (* z z) (* t t))
(/.f64 (.f64 z z) (.f64 t t))
(* z z)
(*.f64 z z)
z
(* t t)
(*.f64 t t)
t

localize80.0ms (0.7%)

Memory

3.1MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
✓	accuracy	79.0%	(/.f64 (.f64 x x) (.f64 y y))
✓	accuracy	75.9%	(/.f64 (.f64 z z) (.f64 t t))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (59.9% of total)

ival-div: 3.0ms (30% of total)

ival-add: 1.0ms (10% of total)

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

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

series10.0ms (0.1%)

Memory

14.3MiB live, 14.4MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite687.0ms (6%)

Memory

37.4MiB live, 658.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 024×	`accelerator-lowering-fma.f32`
9 024×	`accelerator-lowering-fma.f64`
6 696×	`-lowering-.f32`
6 696×	`-lowering-.f64`
4 106×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	62	30
2	806	30
0	8376	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 402

Calls

Call 1

Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(/ (* x x) (* y y))
(* x x)
(* y y)
(/ (* z z) (* t t))
(* t t)

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

simplify377.0ms (3.3%)

Memory

-44.7MiB live, 662.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`accelerator-lowering-fma.f32`
9 376×	`accelerator-lowering-fma.f64`
5 820×	`-lowering-.f32`
5 820×	`-lowering-.f64`
1 774×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1092
1	60	1092
2	192	1092
3	825	1092
4	2844	1092
5	3956	1092
6	6249	1092
7	7743	1092
0	8047	1056

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

Outputs
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 z (.f64 y (.f64 y (/.f64 z (.f64 t t)))) (.f64 x x)) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 z (.f64 y (.f64 y (/.f64 z (.f64 t t)))) (.f64 x x)) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 z (.f64 y (.f64 y (/.f64 z (.f64 t t)))) (.f64 x x)) (*.f64 y y))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 t (.f64 t (.f64 x (/.f64 x (.f64 y y)))) (.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 t (.f64 t (.f64 x (/.f64 x (.f64 y y)))) (.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 t (.f64 t (.f64 x (/.f64 x (.f64 y y)))) (.f64 z z)) (*.f64 t t))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(/ (pow z 2) (pow t 2))
(.f64 z (/.f64 z (.f64 t t)))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)

eval63.0ms (0.6%)

Memory: 6.1MiB live, 171.1MiB allocated
Compiler: Compiled 12 368 to 1 035 computations (91.6% saved)

prune167.0ms (1.5%)

Memory

-22.6MiB live, 213.5MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	514	20	534
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	515	20	535

Accuracy

96.6%

Counts

535 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (*.f64 y y)))
▶	83.3%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	74.9%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	81.4%	(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
	69.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x) (/.f64 (.f64 z z) (.f64 t t)))
	81.8%	(fma.f64 (.f64 (/.f64 z t) z) (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 x x) (*.f64 y y)))
▶	80.0%	(fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 z z) (*.f64 t t)))
	74.1%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) z) z (/.f64 (.f64 x x) (.f64 y y)))
	80.7%	(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
	63.8%	(/.f64 (fma.f64 z (.f64 z y) (.f64 t (/.f64 (.f64 t (.f64 x x)) y))) (.f64 t (.f64 t y)))
	61.6%	(/.f64 (fma.f64 x (.f64 x t) (/.f64 (.f64 y (.f64 y (.f64 z z))) t)) (.f64 (.f64 y y) t))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t y) (fma.f64 z (.f64 (/.f64 z t) y) (/.f64 (.f64 t (.f64 x x)) y))))
	81.5%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	80.0%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	75.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
▶	83.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
	81.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
	63.8%	(.f64 (fma.f64 z (.f64 z y) (.f64 t (/.f64 (.f64 t (.f64 x x)) y))) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t y))))
	51.0%	(.f64 z (/.f64 z (.f64 t t)))
▶	56.4%	(.f64 x (/.f64 x (.f64 y y)))

Compiler

Compiled 770 to 440 computations (42.9% saved)

simplify9.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) x)
✓	cost-diff	704	(fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	0	(/.f64 z t)
✓	cost-diff	384	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(/.f64 z (*.f64 t t))
✓	cost-diff	0	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (*.f64 y y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))
✓	cost-diff	0	(.f64 x (/.f64 x (.f64 y y)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
✓	cost-diff	768	(/.f64 (/.f64 z t) (/.f64 t z))

Rules

90×	`-lowering-.f32`
90×	`-lowering-.f64`
40×	`/-lowering-/.f32`
40×	`/-lowering-/.f64`
30×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	181
1	53	181
2	79	181
3	100	181
4	118	181
5	123	181
0	123	177

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(/ (/ z t) (/ t z))
(/ z t)
z
t
(/ t z)
(* x (/ x (* y y)))
x
(/ x (* y y))
(* y y)
y
(+ (* (/ z (* t t)) z) (/ (* x x) (* y y)))
(/ z (* t t))
z
(* t t)
t
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(+ (* (/ z t) (/ z t)) (/ (* x x) (* y y)))
(/ z t)
z
t
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(+ (* (* (/ x y) x) (/ 1 y)) (/ (* z z) (* t t)))
(* (/ x y) x)
(/ x y)
x
y
(/ 1 y)
1
(/ (* z z) (* t t))
(* z z)
z
(* t t)
t

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

localize90.0ms (0.8%)

Memory

-17.6MiB live, 222.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	99.8%	(*.f64 (/.f64 x y) x)
✓	accuracy	97.3%	(fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	accuracy	75.9%	(/.f64 (.f64 z z) (.f64 t t))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
✓	accuracy	79.0%	(/.f64 (.f64 x x) (.f64 y y))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	96.2%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (*.f64 y y)))
✓	accuracy	88.7%	(/.f64 z (*.f64 t t))
✓	accuracy	79.0%	(/.f64 (.f64 x x) (.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	93.4%	(.f64 x (/.f64 x (.f64 y y)))
✓	accuracy	89.9%	(/.f64 x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
✓	accuracy	99.8%	(/.f64 (/.f64 z t) (/.f64 t z))
✓	accuracy	79.0%	(/.f64 (.f64 x x) (.f64 y y))

Samples

51.0ms

256×

valid

Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 14.0ms (45% of total)

ival-mult: 13.0ms (41.8% of total)

ival-add: 4.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

-0.3MiB live, 38.1MiB allocated

Counts

17 → 456

Calls

Call 1

Inputs
#<alt (/ (/ z t) (/ t z))>
#<alt (+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))>
#<alt (/ (* x x) (* y y))>
#<alt (* x x)>
#<alt (* x (/ x (* y y)))>
#<alt (/ x (* y y))>
#<alt (* y y)>
#<alt (+ (* (/ z (* t t)) z) (/ (* x x) (* y y)))>
#<alt (/ z (* t t))>
#<alt (* t t)>
#<alt (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y)))>
#<alt (/ z t)>
#<alt (+ (* (* (/ x y) x) (/ 1 y)) (/ (* z z) (* t t)))>
#<alt (* (/ x y) x)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ (* z z) (* t t))>

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

Calls

114 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/ z (* t t))
0.0ms	x	@	inf	(/ x (* y y))
0.0ms	z	@	inf	(/ z (* t t))
0.0ms	z	@	-inf	(/ z (* t t))
0.0ms	z	@	inf	(/ z t)

rewrite529.0ms (4.6%)

Memory

35.4MiB live, 987.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 758×	`accelerator-lowering-fma.f32`
6 758×	`accelerator-lowering-fma.f64`
5 674×	`/-lowering-/.f32`
5 674×	`/-lowering-/.f64`
3 408×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	163	97
2	2213	97
0	8442	97

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 835

Calls

Call 1

Inputs
(/ (/ z t) (/ t z))
(+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))
(/ (* x x) (* y y))
(* x x)
(* x (/ x (* y y)))
(/ x (* y y))
(* y y)
(+ (* (/ z (* t t)) z) (/ (* x x) (* y y)))
(/ z (* t t))
(* t t)
(+ (* (/ z t) (/ z t)) (/ (* x x) (* y y)))
(/ z t)
(+ (* (* (/ x y) x) (/ 1 y)) (/ (* z z) (* t t)))
(* (/ x y) x)
(/ x y)
(/ 1 y)
(/ (* z z) (* t t))

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

simplify433.0ms (3.8%)

Memory

-6.0MiB live, 639.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 106×	`accelerator-lowering-fma.f32`
9 106×	`accelerator-lowering-fma.f64`
5 844×	`-lowering-.f32`
5 844×	`-lowering-.f64`
1 806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	3912
1	66	3912
2	195	3912
3	832	3912
4	2903	3912
5	4012	3912
6	6337	3912
7	7825	3912
0	8129	3768

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

eval311.0ms (2.7%)

Memory: 47.9MiB live, 726.7MiB allocated
Compiler: Compiled 61 878 to 2 304 computations (96.3% saved)

prune479.0ms (4.2%)

Memory

-110.0MiB live, 589.1MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	2 770	22	2 792
Fresh	9	6	15
Picked	4	1	5
Done	0	0	0
Total	2 783	29	2 812

Accuracy

100.0%

Counts

2 812 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (.f64 x x) (.f64 y y)))
	80.7%	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t z)) z (/.f64 (.f64 x x) (.f64 y y)))
	85.6%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y)))
	80.7%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x (*.f64 y y)) x))
	88.0%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y)))
	89.3%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y))
	90.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
	81.8%	(fma.f64 (.f64 (/.f64 z t) z) (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 x x) (*.f64 y y)))
	74.1%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) z) z (/.f64 (.f64 x x) (.f64 y y)))
	72.6%	(/.f64 (fma.f64 (/.f64 (.f64 z z) t) y (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
▶	55.2%	(/.f64 (/.f64 (*.f64 x x) y) y)
▶	55.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 x x)))
	60.9%	(/.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
	47.9%	(/.f64 (.f64 z z) (.f64 t t))
	52.2%	(/.f64 (.f64 x x) (.f64 y y))
	59.7%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 y x) y))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t y) (fma.f64 z (.f64 (/.f64 z t) y) (/.f64 (.f64 t (.f64 x x)) y))))
	75.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
	80.8%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 t z) (-.f64 #s(literal 0 binary64) t))))
▶	81.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	91.0%	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))
	55.1%	(.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y))
	62.1%	(*.f64 (/.f64 x y) (/.f64 x y))
	55.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
▶	51.0%	(.f64 z (/.f64 z (.f64 t t)))
	58.9%	(*.f64 x (/.f64 (/.f64 x y) y))
	58.8%	(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
✓	56.4%	(.f64 x (/.f64 x (.f64 y y)))
	56.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))

Compiler

Compiled 925 to 553 computations (40.2% saved)

simplify9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 z t) z) t)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 y (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	384	(/.f64 (/.f64 (*.f64 x x) y) y)
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(/.f64 z (*.f64 t t))
✓	cost-diff	0	(.f64 z (/.f64 z (.f64 t t)))
✓	cost-diff	0	(/.f64 x (*.f64 y y))
✓	cost-diff	0	(.f64 (/.f64 x (.f64 y y)) x)
✓	cost-diff	128	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))
✓	cost-diff	768	(/.f64 (/.f64 z t) (/.f64 t z))

Rules

100×	`-lowering-.f32`
100×	`-lowering-.f64`
82×	`/-lowering-/.f32`
82×	`/-lowering-/.f64`
52×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
1	50	149
2	70	149
3	95	149
4	118	149
5	170	149
6	190	149
0	190	147

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ x (* y y)) x) (/ (/ z t) (/ t z)))
(* (/ x (* y y)) x)
(/ x (* y y))
x
(* y y)
y
(/ (/ z t) (/ t z))
(/ z t)
z
t
(/ t z)
(* z (/ z (* t t)))
z
(/ z (* t t))
(* t t)
t
(/ (/ (* x x) y) y)
(/ (* x x) y)
(* x x)
x
y
(/ (/ 1 y) (/ y (* x x)))
(/ 1 y)
1
y
(/ y (* x x))
(* x x)
x
(+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t))
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(/ (* (/ z t) z) t)
(* (/ z t) z)
(/ z t)
z
t

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

localize80.0ms (0.7%)

Memory

-29.6MiB live, 125.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	accuracy	99.8%	(*.f64 (/.f64 z t) z)
✓	accuracy	93.0%	(/.f64 (*.f64 (/.f64 z t) z) t)
✓	accuracy	79.0%	(/.f64 (.f64 x x) (.f64 y y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 x x)))
✓	accuracy	87.8%	(/.f64 y (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.7%	(/.f64 (/.f64 (*.f64 x x) y) y)
✓	accuracy	87.7%	(/.f64 (*.f64 x x) y)
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	94.6%	(.f64 z (/.f64 z (.f64 t t)))
✓	accuracy	88.7%	(/.f64 z (*.f64 t t))
✓	accuracy	100.0%	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))
✓	accuracy	99.8%	(/.f64 (/.f64 z t) (/.f64 t z))
✓	accuracy	93.4%	(.f64 (/.f64 x (.f64 y y)) x)
✓	accuracy	89.9%	(/.f64 x (*.f64 y y))

Samples

47.0ms

256×

valid

Compiler

Compiled 153 to 27 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 18.0ms (59.9% of total)

ival-mult: 10.0ms (33.3% of total)

ival-add: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

17 → 420

Calls

Call 1

Inputs
#<alt (/ (/ z t) (/ t z))>
#<alt (+ (* (/ x (* y y)) x) (/ (/ z t) (/ t z)))>
#<alt (* (/ x (* y y)) x)>
#<alt (/ x (* y y))>
#<alt (* z (/ z (* t t)))>
#<alt (/ z (* t t))>
#<alt (* t t)>
#<alt (/ (/ (* x x) y) y)>
#<alt (/ (* x x) y)>
#<alt (* x x)>
#<alt (/ (/ 1 y) (/ y (* x x)))>
#<alt (/ 1 y)>
#<alt (/ y (* x x))>
#<alt (/ (* (/ z t) z) t)>
#<alt (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t))>
#<alt (/ (* x x) (* y y))>
#<alt (* (/ z t) z)>

Outputs
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
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Calls

105 calls:

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

rewrite577.0ms (5.1%)

Memory

29.8MiB live, 698.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`/-lowering-/.f32`
5 066×	`/-lowering-/.f64`
4 382×	`accelerator-lowering-fma.f32`
4 382×	`accelerator-lowering-fma.f64`
3 274×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	155	91
2	1930	91
0	8474	91

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 366

Calls

Call 1

Inputs
(/ (/ z t) (/ t z))
(+ (* (/ x (* y y)) x) (/ (/ z t) (/ t z)))
(* (/ x (* y y)) x)
(/ x (* y y))
(* z (/ z (* t t)))
(/ z (* t t))
(* t t)
(/ (/ (* x x) y) y)
(/ (* x x) y)
(* x x)
(/ (/ 1 y) (/ y (* x x)))
(/ 1 y)
(/ y (* x x))
(/ (* (/ z t) z) t)
(+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t))
(/ (* x x) (* y y))
(* (/ z t) z)

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

simplify592.0ms (5.2%)

Memory

-48.3MiB live, 501.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 838×	`accelerator-lowering-fma.f32`
8 838×	`accelerator-lowering-fma.f64`
5 894×	`-lowering-.f32`
5 894×	`-lowering-.f64`
1 822×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	3180
1	66	3180
2	199	3180
3	836	3180
4	2884	3180
5	3995	3180
6	6341	3180
7	7824	3180
0	8128	3108

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (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 y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (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 y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (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 y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (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 y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
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(.f64 x (/.f64 x (.f64 y y)))
(/ (pow x 2) (pow y 2))
(.f64 x (/.f64 x (.f64 y y)))
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)

eval583.0ms (5.1%)

Memory: 5.5MiB live, 355.9MiB allocated
Compiler: Compiled 36 318 to 1 959 computations (94.6% saved)

prune235.0ms (2.1%)

Memory

39.3MiB live, 466.4MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 828	10	1 838
Fresh	11	12	23
Picked	4	1	5
Done	0	1	1
Total	1 843	24	1 867

Accuracy

100.0%

Counts

1 867 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.6%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y)))
▶	80.7%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x (*.f64 y y)) x))
	88.0%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y)))
▶	90.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
	81.8%	(fma.f64 (.f64 (/.f64 z t) z) (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 x x) (*.f64 y y)))
	72.6%	(/.f64 (fma.f64 (/.f64 (.f64 z z) t) y (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
	52.6%	(/.f64 (/.f64 (*.f64 z z) t) t)
	59.7%	(/.f64 (/.f64 z t) (/.f64 t z))
	60.9%	(/.f64 (*.f64 (/.f64 x y) x) y)
	62.1%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y x))
	47.9%	(/.f64 (.f64 z z) (.f64 t t))
▶	52.2%	(/.f64 (.f64 x x) (.f64 y y))
	59.7%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 y x) y))
▶	56.5%	(/.f64 z (neg.f64 (*.f64 (/.f64 t z) (-.f64 #s(literal 0 binary64) t))))
	81.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z (/.f64 t z)) t))
	59.6%	(*.f64 (/.f64 z t) (/.f64 z t))
	62.1%	(*.f64 (/.f64 x y) (/.f64 x y))
	56.4%	(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) (-.f64 #s(literal 0 binary64) t))))
▶	56.4%	(*.f64 z (/.f64 (/.f64 z t) t))
✓	51.0%	(.f64 z (/.f64 z (.f64 t t)))
	50.5%	(.f64 z (.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) z))
	58.9%	(*.f64 x (/.f64 (/.f64 x y) y))
✓	56.4%	(.f64 x (/.f64 x (.f64 y y)))
	56.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))

Compiler

Compiled 656 to 402 computations (38.7% saved)

simplify166.0ms (1.5%)

Memory

-58.1MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 040×	`accelerator-lowering-fma.f32`
1 040×	`accelerator-lowering-fma.f64`
896×	`-lowering-.f32`
896×	`-lowering-.f64`
842×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	139
1	54	137
2	117	137
3	283	137
4	648	137
5	2086	137
6	2915	137
7	3182	137
8	3458	137
9	3760	137
10	3919	137
11	4124	137
12	4249	137
13	4301	137
14	4375	137
15	4479	137
16	4479	137
17	4479	137
0	4479	135

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ z t) (/ z t)) (* (/ x (* y y)) x))
(/ z t)
z
t
(* (/ x (* y y)) x)
(/ x (* y y))
x
(* y y)
y
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(* z (/ (/ z t) t))
z
(/ (/ z t) t)
(/ z t)
t
(/ z (neg (* (/ t z) (- 0 t))))
z
(neg (* (/ t z) (- 0 t)))
(* (/ t z) (- 0 t))
(/ t z)
t
(- 0 t)
0
(+ (* (/ z (* t t)) z) (* (/ x (* y y)) x))
(/ z (* t t))
z
(* t t)
t
(* (/ x (* y y)) x)
(/ x (* y y))
x
(* y y)
y

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

localize175.0ms (1.5%)

Memory

19.7MiB live, 175.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.2%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x (*.f64 y y)) x))
✓	accuracy	93.4%	(.f64 (/.f64 x (.f64 y y)) x)
✓	accuracy	89.9%	(/.f64 x (*.f64 y y))
✓	accuracy	88.7%	(/.f64 z (*.f64 t t))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) t)
✓	accuracy	100.0%	(neg.f64 (*.f64 (/.f64 t z) (-.f64 #s(literal 0 binary64) t)))
✓	accuracy	99.8%	(*.f64 (/.f64 t z) (-.f64 #s(literal 0 binary64) t))
✓	accuracy	94.7%	(/.f64 z (neg.f64 (*.f64 (/.f64 t z) (-.f64 #s(literal 0 binary64) t))))
✓	accuracy	100.0%	(/.f64 z t)
✓	accuracy	99.8%	(/.f64 (/.f64 z t) t)
✓	accuracy	94.6%	(*.f64 z (/.f64 (/.f64 z t) t))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	79.0%	(/.f64 (.f64 x x) (.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
✓	accuracy	93.4%	(.f64 (/.f64 x (.f64 y y)) x)
✓	accuracy	89.9%	(/.f64 x (*.f64 y y))

Samples

44.0ms

256×

valid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

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

ival-div: 12.0ms (44.1% of total)

ival-mult: 11.0ms (40.5% of total)

ival-add: 2.0ms (7.4% of total)

ival-sub: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-6.6MiB live, 32.0MiB allocated

Counts

17 → 408

Calls

Call 1

Inputs
#<alt (+ (* (/ z t) (/ z t)) (* (/ x (* y y)) x))>
#<alt (/ z t)>
#<alt (/ x (* y y))>
#<alt (* (/ x (* y y)) x)>
#<alt (/ (* x x) (* y y))>
#<alt (* x x)>
#<alt (* y y)>
#<alt (/ (/ z t) t)>
#<alt (* z (/ (/ z t) t))>
#<alt (/ z (neg (* (/ t z) (- 0 t))))>
#<alt (neg (* (/ t z) (- 0 t)))>
#<alt (/ t z)>
#<alt (- 0 t)>
#<alt (+ (* (/ z (* t t)) z) (* (/ x (* y y)) x))>
#<alt (/ z (* t t))>
#<alt (* t t)>
#<alt (* (/ t z) (- 0 t))>

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

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(neg (* (/ t z) (- 0 t)))
2.0ms	z	@	-inf	(/ t z)
1.0ms	t	@	0	(neg (* (/ t z) (- 0 t)))
1.0ms	z	@	0	(neg (* (/ t z) (- 0 t)))
0.0ms	t	@	-inf	(/ t z)

rewrite519.0ms (4.6%)

Memory

24.1MiB live, 932.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 016×	`accelerator-lowering-fma.f32`
9 016×	`accelerator-lowering-fma.f64`
5 136×	`-lowering-.f32`
5 136×	`-lowering-.f64`
3 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	95
1	135	85
2	1218	85
0	8539	85

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 645

Calls

Call 1

Inputs
(+ (* (/ z t) (/ z t)) (* (/ x (* y y)) x))
(/ z t)
(/ x (* y y))
(* (/ x (* y y)) x)
(/ (* x x) (* y y))
(* x x)
(* y y)
(/ (/ z t) t)
(* z (/ (/ z t) t))
(/ z (neg (* (/ t z) (- 0 t))))
(neg (* (/ t z) (- 0 t)))
(/ t z)
(- 0 t)
(+ (* (/ z (* t t)) z) (* (/ x (* y y)) x))
(/ z (* t t))
(* t t)
(* (/ t z) (- 0 t))

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

simplify460.0ms (4%)

Memory

-16.3MiB live, 752.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 292×	`accelerator-lowering-fma.f32`
10 292×	`accelerator-lowering-fma.f64`
6 018×	`-lowering-.f32`
6 018×	`-lowering-.f64`
1 980×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	2868
1	74	2868
2	214	2868
3	870	2868
4	2961	2868
5	4094	2868
6	6524	2868
0	8438	2796

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval322.0ms (2.8%)

Memory: 18.2MiB live, 708.8MiB allocated
Compiler: Compiled 50 218 to 3 760 computations (92.5% saved)

prune330.0ms (2.9%)

Memory

42.7MiB live, 713.5MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	2 499	5	2 504
Fresh	5	12	17
Picked	2	3	5
Done	0	2	2
Total	2 506	22	2 528

Accuracy

100.0%

Counts

2 528 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.6%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y)))
	84.8%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 (/.f64 x y) y) x))
✓	80.7%	(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x (*.f64 y y)) x))
✓	90.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
	78.2%	(/.f64 (fma.f64 (/.f64 (.f64 z z) t) y (.f64 (.f64 t x) (/.f64 x y))) (.f64 t y))
	52.6%	(/.f64 (/.f64 (*.f64 z z) t) t)
	59.7%	(/.f64 (/.f64 z t) (/.f64 t z))
	60.9%	(/.f64 (*.f64 (/.f64 x y) x) y)
	62.1%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y x))
	47.9%	(/.f64 (.f64 z z) (.f64 t t))
✓	52.2%	(/.f64 (.f64 x x) (.f64 y y))
	59.7%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 y x) y))
	56.5%	(/.f64 z (*.f64 (/.f64 t z) t))
	58.6%	(*.f64 (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) t))
	59.6%	(*.f64 (/.f64 z t) (/.f64 z t))
	62.1%	(*.f64 (/.f64 x y) (/.f64 x y))
✓	51.0%	(.f64 z (/.f64 z (.f64 t t)))
	56.4%	(*.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 t z) #s(literal 0 binary64))))
	50.5%	(.f64 z (.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) z))
	58.9%	(*.f64 x (/.f64 (/.f64 x y) y))
✓	56.4%	(.f64 x (/.f64 x (.f64 y y)))
	56.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))

Compiler

Compiled 1 029 to 319 computations (69% saved)

regimes216.0ms (1.9%)

Memory

-18.6MiB live, 415.5MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))

Calls

11 calls:

33.0ms	(*.f64 z z)
28.0ms	(/.f64 (.f64 z z) (.f64 t t))
19.0ms	(*.f64 t t)
18.0ms	y
17.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
93.8%	2	`x`
95.0%	2	`y`
92.8%	2	`z`
94.5%	2	`t`
91.0%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
96.0%	2	`(/.f64 (.f64 x x) (.f64 y y))`
93.8%	2	`(*.f64 x x)`
95.0%	2	`(*.f64 y y)`
96.9%	2	`(/.f64 (.f64 z z) (.f64 t t))`
91.0%	1	`(*.f64 z z)`
94.5%	2	`(*.f64 t t)`

Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes12.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))

Calls

1 calls:

11.0ms

(/.f64 (*.f64 z z) (*.f64 t t))

Results

Accuracy	Segments	Branch
96.9%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes26.0ms (0.2%)

Memory

-0.4MiB live, 38.9MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))

Calls

2 calls:

16.0ms	(/.f64 (.f64 z z) (.f64 t t))
9.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
94.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`
95.6%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes145.0ms (1.3%)

Memory

-71.3MiB live, 206.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
(/.f64 (/.f64 z t) (/.f64 t z))

Calls

11 calls:

44.0ms	(/.f64 (.f64 z z) (.f64 t t))
12.0ms	z
12.0ms	y
11.0ms	t
10.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
84.6%	2	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
88.6%	3	`(*.f64 z z)`
88.6%	3	`z`
84.8%	3	`x`
84.8%	3	`(*.f64 x x)`
89.9%	3	`(/.f64 (.f64 x x) (.f64 y y))`
89.9%	3	`t`
89.9%	3	`(*.f64 t t)`
87.8%	3	`y`
87.8%	3	`(*.f64 y y)`
91.0%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes36.0ms (0.3%)

Memory

11.6MiB live, 87.8MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x y) (/.f64 x y))
(fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (*.f64 y y))))
(/.f64 (/.f64 z t) (/.f64 t z))

Calls

4 calls:

9.0ms	(*.f64 t t)
9.0ms	t
8.0ms	(/.f64 (.f64 x x) (.f64 y y))
8.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
88.6%	3	`(/.f64 (.f64 x x) (.f64 y y))`
87.8%	3	`t`
87.8%	3	`(*.f64 t t)`
88.9%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes62.0ms (0.5%)

Memory

-6.6MiB live, 151.9MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	z
9.0ms	y
8.0ms	(*.f64 t t)
7.0ms	t
7.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
81.5%	2	`(*.f64 y y)`
76.7%	2	`(*.f64 t t)`
76.7%	2	`t`
81.5%	2	`y`
85.8%	2	`(/.f64 (.f64 x x) (.f64 y y))`
78.8%	2	`(*.f64 z z)`
78.8%	2	`z`
83.1%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 58 to 41 computations (29.3% saved)

regimes7.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 z t) (/.f64 t z))
(*.f64 (/.f64 x y) (/.f64 x y))

Calls

1 calls:

6.0ms

(/.f64 (*.f64 x x) (*.f64 y y))

Results

Accuracy	Segments	Branch
85.8%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

-20.5MiB live, 21.7MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 (/.f64 x y) (/.f64 x y))

Calls

1 calls:

7.0ms

(/.f64 (*.f64 x x) (*.f64 y y))

Results

Accuracy	Segments	Branch
85.7%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
(*.f64 z (/.f64 (/.f64 z t) t))
(*.f64 (/.f64 x y) (/.f64 x y))

Calls

2 calls:

3.0ms	(/.f64 (.f64 x x) (.f64 y y))
3.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Results

Accuracy	Segments	Branch
63.8%	2	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
83.9%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 30 to 18 computations (40% saved)

regimes18.0ms (0.2%)

Memory

-5.3MiB live, 33.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
(*.f64 z (/.f64 (/.f64 z t) t))
(*.f64 x (/.f64 (/.f64 x y) y))

Calls

6 calls:

3.0ms	(*.f64 x x)
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
77.2%	2	`y`
77.2%	2	`(*.f64 y y)`
78.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`
72.1%	2	`(*.f64 x x)`
72.1%	2	`x`
81.1%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes29.0ms (0.3%)

Memory

-10.2MiB live, 29.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(.f64 z (/.f64 z (.f64 t t)))
(*.f64 x (/.f64 (/.f64 x y) y))

Calls

6 calls:

16.0ms	(/.f64 (.f64 z z) (.f64 t t))
3.0ms	z
3.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
73.0%	2	`y`
73.0%	2	`(*.f64 y y)`
76.3%	3	`(/.f64 (.f64 z z) (.f64 t t))`
71.8%	2	`z`
71.8%	2	`(*.f64 z z)`
76.9%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs
(.f64 z (/.f64 z (.f64 t t)))
(.f64 x (/.f64 x (.f64 y y)))
(.f64 z (/.f64 z (.f64 t t)))

Calls

3 calls:

3.0ms	t
2.0ms	(*.f64 t t)
2.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
66.3%	2	`t`
66.3%	2	`(*.f64 t t)`
76.4%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes26.0ms (0.2%)

Memory

-8.4MiB live, 31.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (/.f64 x (.f64 y y)))

Outputs
(.f64 x (/.f64 x (.f64 y y)))

Calls

11 calls:

14.0ms	x
1.0ms	z
1.0ms	y
1.0ms	t
1.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Results

Accuracy	Segments	Branch
56.4%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
56.4%	1	`t`
56.4%	1	`(*.f64 t t)`
56.4%	1	`(*.f64 z z)`
56.4%	1	`z`
56.4%	1	`x`
56.4%	1	`(*.f64 x x)`
56.4%	1	`y`
56.4%	1	`(*.f64 y y)`
56.4%	1	`(/.f64 (.f64 z z) (.f64 t t))`
56.4%	1	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 89 to 61 computations (31.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1607276109044578e+80	2.0768325430345197e+110

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1607276109044578e+80	2.0768325430345197e+110

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1607276109044578e+80	2.0768325430345197e+110

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1078768785214106e+270	5.90854727281403e+300

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1078768785214106e+270	5.90854727281403e+300
0.0ms	0.0	5.9729906545e-313

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5814176194337838e-93	3.3401160476282645e-86

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5814176194337838e-93	3.3401160476282645e-86

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5814176194337838e-93	3.3401160476282645e-86

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5814176194337838e-93	3.3401160476282645e-86

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5814176194337838e-93	3.3401160476282645e-86

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1803020149072437e-146	9.394405334221209e-145

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.1803020149072437e-146	9.394405334221209e-145

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify16.0ms (0.1%)

Memory

-24.7MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	382
1	74	382

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) (.f64 (/.f64 x y) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (.f64 y y)))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (/.f64 z t) (/.f64 t z)) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 (/.f64 z t) (/.f64 z t)) (.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 z (/.f64 (/.f64 z t) t)) (.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 z (/.f64 (/.f64 z t) t)) (.f64 x (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (.f64 z (/.f64 z (.f64 t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (.f64 z (/.f64 z (.f64 t t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (.f64 x (/.f64 x (.f64 y y))) (.f64 z (/.f64 z (.f64 t t)))))
(.f64 x (/.f64 x (.f64 y y)))

Outputs
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (/.f64 z t) (/.f64 t z)) (.f64 x (/.f64 x (.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) (.f64 (/.f64 x y) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (fma.f64 z (/.f64 z (.f64 t t)) (.f64 x (/.f64 x (.f64 y y)))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (/.f64 z t) (/.f64 t z)) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 (/.f64 z t) (/.f64 z t)) (.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 z (/.f64 (/.f64 z t) t)) (.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 z (/.f64 (/.f64 z t) t)) (.f64 x (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (.f64 z (/.f64 z (.f64 t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (.f64 z (/.f64 z (.f64 t t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (.f64 x (/.f64 x (.f64 y y))) (.f64 z (/.f64 z (.f64 t t)))))
(.f64 x (/.f64 x (.f64 y y)))

soundness1.4s (12.4%)

Memory

51.9MiB live, 946.2MiB allocated

Rules

9 376×	`accelerator-lowering-fma.f32`
9 376×	`accelerator-lowering-fma.f64`
9 024×	`accelerator-lowering-fma.f32`
9 024×	`accelerator-lowering-fma.f64`
6 758×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	1092
1	60	1092
2	192	1092
3	825	1092
4	2844	1092
5	3956	1092
6	6249	1092
7	7743	1092
0	8047	1056
0	25	113
1	155	91
2	1930	91
0	8474	91
0	11	38
1	62	30
2	806	30
0	8376	30
0	27	109
1	163	97
2	2213	97
0	8442	97

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 993 to 412 computations (58.5% saved)

preprocess160.0ms (1.4%)

Memory

8.3MiB live, 125.3MiB allocated

Remove

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 1 196 to 330 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze186.0ms (1.6%)

sample937.0ms (8.2%)

preprocess273.0ms (2.4%)

explain415.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.5%)

localize80.0ms (0.7%)

series10.0ms (0.1%)

rewrite687.0ms (6%)

simplify377.0ms (3.3%)

eval63.0ms (0.6%)

prune167.0ms (1.5%)

simplify9.0ms (0.1%)

localize90.0ms (0.8%)

series19.0ms (0.2%)

rewrite529.0ms (4.6%)

simplify433.0ms (3.8%)

eval311.0ms (2.7%)

prune479.0ms (4.2%)

simplify9.0ms (0.1%)

localize80.0ms (0.7%)

series9.0ms (0.1%)

rewrite577.0ms (5.1%)

simplify592.0ms (5.2%)

eval583.0ms (5.1%)

prune235.0ms (2.1%)

simplify166.0ms (1.5%)

localize175.0ms (1.5%)

series14.0ms (0.1%)

rewrite519.0ms (4.6%)

simplify460.0ms (4%)

eval322.0ms (2.8%)

prune330.0ms (2.9%)

regimes216.0ms (1.9%)

regimes12.0ms (0.1%)

regimes26.0ms (0.2%)

regimes145.0ms (1.3%)

regimes36.0ms (0.3%)

regimes62.0ms (0.5%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes18.0ms (0.2%)

regimes29.0ms (0.3%)

regimes7.0ms (0.1%)

regimes26.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.4s (12.4%)

preprocess160.0ms (1.4%)

end0.0ms (0%)

Profiling