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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze258.0ms (2.4%)

Memory

21.5MiB live, 257.6MiB 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)

sample915.0ms (8.3%)

Memory

25.5MiB live, 1 730.8MiB allocated

Samples

624.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-mult: 229.0ms (56.8% of total)

ival-div: 128.0ms (31.7% of total)

ival-add: 38.0ms (9.4% of total)

ival-true: 6.0ms (1.5% of total)

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

Bogosity

explain189.0ms (1.7%)

Memory

-17.1MiB live, 176.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
76	-	0	-	`(/.f64 (.f64 x x) (.f64 y y))`
65	-	2	(-9.192382447120234e+169 5.262877675053969e+223 1.6110412797586404e-156 6.253291644864231e-140)	`(/.f64 (.f64 z z) (.f64 t t))`
0	-	0	-	`t`
0	-	0	-	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	16	0
↳	`(*.f64 z z)`	overflow	61
↳	`(*.f64 t t)`	overflow	66
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	16	0
↳	`(*.f64 x x)`	overflow	74
↳	`(*.f64 y y)`	overflow	69
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	13	0
↳	`(*.f64 x x)`	underflow	55
↳	`(*.f64 y y)`	underflow	70
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	12	0
↳	`(*.f64 x x)`	overflow	74
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	10	0
↳	`(*.f64 y y)`	underflow	70
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	9	0
↳	`(*.f64 y y)`	overflow	69
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	8	0
↳	`(*.f64 t t)`	underflow	53
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	8	0
↳	`(*.f64 z z)`	underflow	66
↳	`(*.f64 t t)`	underflow	53
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	6	0
↳	`(*.f64 t t)`	overflow	66
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	6	0
↳	`(*.f64 z z)`	underflow	66
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	4	0
↳	`(*.f64 z z)`	overflow	61
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	4	0
↳	`(*.f64 x x)`	underflow	55

Confusion

	Predicted +	Predicted -
+	87	4
-	22	143

Precision

0.7981651376146789

Recall

0.9560439560439561

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	4
-	22	0	143

Precision?

0.7981651376146789

Recall?

0.9560439560439561

Freqs

test

number	freq
0	147
1	106
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

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

ival-mult: 13.0ms (58.6% of total)

ival-div: 6.0ms (27% of total)

ival-add: 2.0ms (9% of total)

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

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

preprocess275.0ms (2.5%)

Memory

15.6MiB live, 51.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	214
1	175	214
2	626	214
3	2107	214
4	3907	214
5	4792	214
6	4924	214
7	4984	214
8	5060	214
9	5119	214
10	5791	214
11	6095	214
12	6095	214
13	6095	214
14	6463	214
15	6639	214
16	6799	214
17	6863	214
18	6863	214
0	11	15
0	18	15
1	31	15
2	43	15
3	43	15
0	43	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

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

Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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×	`lower-*.f32`
24×	`lower-/.f32`
20×	`lower-*.f64`
20×	`lower-/.f64`
12×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	31	45
2	43	45
3	43	45
0	43	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.5%)

Memory

-19.8MiB live, 68.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t t)
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	14.829244133813956	(/.f64 (.f64 z z) (.f64 t t))
accuracy	17.634651615626197	(/.f64 (.f64 x x) (.f64 y y))

Samples

27.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 10.0ms (55.6% of total)

ival-mult: 6.0ms (33.4% of total)

ival-add: 1.0ms (5.6% of total)

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

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

series11.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) (.f64 t t)) (patch (/.f64 (.f64 z z) (.f64 t t)) #<representation binary64>) () ())
#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())

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

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)))

simplify227.0ms (2.1%)

Memory

4.0MiB live, 315.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
5 820×	`lower-*.f64`
5 820×	`lower-*.f32`
1 774×	`lower-/.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)

rewrite403.0ms (3.7%)

Memory

-13.5MiB live, 360.0MiB allocated

Rules

9 024×	`lower-fma.f64`
9 024×	`lower-fma.f32`
6 696×	`lower-*.f32`
6 688×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	38
1	69	30
2	813	30
0	8377	30

Stop Event

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

Counts

6 → 402

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 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))))))
(-.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (neg.f64 (.f64 t t))))
(-.f64 (/.f64 (.f64 z z) (.f64 t t)) (/.f64 (.f64 x x) (neg.f64 (.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)))) (/.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)))))
(-.f64 (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t (.f64 t t)))) (-.f64 (/.f64 (.f64 z z) (.f64 t t)) (/.f64 (.f64 x x) (.f64 y y)))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (/.f64 (.f64 z z) (.f64 t t)) (/.f64 (.f64 x x) (.f64 y y)))))
(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (*.f64 t t)))
(fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 z (/.f64 z (.f64 t t)) (/.f64 (.f64 x x) (*.f64 y y)))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) z) (/.f64 (.f64 x x) (.f64 y y)))
(fma.f64 z (.f64 (/.f64 z (.f64 t t)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 y y)))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)) (/.f64 (.f64 x x) (*.f64 y y)))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 t t)) (/.f64 (.f64 x x) (.f64 y y)))
(fma.f64 (.f64 z z) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)) (/.f64 (.f64 x x) (*.f64 y y)))
(fma.f64 (.f64 z z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (*.f64 y y)))
(fma.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y)))
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eval65.0ms (0.6%)

Memory: -0.9MiB live, 113.9MiB allocated
Compiler: Compiled 12 236 to 1 042 computations (91.5% saved)

prune150.0ms (1.4%)

Memory

-6.3MiB live, 197.3MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	513	21	534
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	21	535

Accuracy

98.2%

Counts

535 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.2%	(fma.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 x x) (*.f64 y y)))
	71.1%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (*.f64 y y)))
	79.2%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	73.4%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	82.4%	(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
▶	65.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (.f64 z z) (/.f64 (.f64 x x) (.f64 y y)))
	73.4%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) x (/.f64 (.f64 z z) (.f64 t t)))
	41.6%	(/.f64 (fma.f64 (/.f64 (.f64 z z) t) (.f64 y (/.f64 y (.f64 x x))) t) (.f64 t (.f64 y (/.f64 y (.f64 x x)))))
	75.2%	(/.f64 (fma.f64 z (.f64 (/.f64 z t) y) (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
▶	64.1%	(/.f64 (fma.f64 z (.f64 z y) (.f64 t (.f64 t (/.f64 (.f64 x x) y)))) (.f64 t (.f64 t y)))
	55.0%	(/.f64 (fma.f64 x (.f64 x t) (/.f64 (.f64 (.f64 (.f64 z z) y) y) t)) (.f64 (.f64 y y) t))
▶	82.5%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	79.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
▶	72.2%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
	79.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
	76.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
	73.4%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	80.2%	(+.f64 (exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 z z) (.f64 t t)))
	80.8%	(+.f64 (exp.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (.f64 z z) (*.f64 t t)))
	48.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
▶	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

Compiler

Compiled 818 to 464 computations (43.3% saved)

simplify509.0ms (4.6%)

Memory

13.3MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 t (.f64 t (/.f64 (*.f64 x x) y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 z (.f64 z y) (.f64 t (.f64 t (/.f64 (.f64 x x) y))))
cost-diff	960	(/.f64 (fma.f64 z (.f64 z y) (.f64 t (.f64 t (/.f64 (.f64 x x) y)))) (.f64 t (.f64 t 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 (*.f64 z z) t) t))
cost-diff	384	(/.f64 (/.f64 (*.f64 z z) t) t)
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 t t)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 t t))
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (.f64 z 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	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
cost-diff	0	(/.f64 y x)
cost-diff	0	(/.f64 x y)
cost-diff	128	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
cost-diff	768	(/.f64 (/.f64 x y) (/.f64 y x))

Rules

9 538×	`lower-*.f32`
9 518×	`lower-*.f64`
3 084×	`unswap-sqr`
2 940×	`lower-/.f32`
2 918×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	250
0	63	244
1	103	244
2	155	244
3	233	244
4	269	244
5	392	244
6	428	244
7	619	244
8	858	244
9	1041	244
10	1156	244
11	1824	244
12	2376	244
13	2921	244
14	3233	244
15	3321	244
16	3321	244
17	3321	244
18	4225	244
19	4418	244
20	4547	244
21	4572	244
22	4572	244
23	4572	244
24	5435	244
25	5702	244
26	5773	244
27	5805	244
28	5841	244
29	5905	244
30	6033	244
31	6435	244
32	6547	244
33	6557	244
34	6585	244
35	6679	244
36	7235	244
37	7235	244
0	9187	239

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (1.8%)

Memory

-28.6MiB live, 191.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.2912501196508703	(.f64 t (.f64 t (/.f64 (*.f64 x x) y)))
accuracy	4.899470058921953	(.f64 t (/.f64 (.f64 x x) y))
accuracy	8.944677478121115	(/.f64 (*.f64 x x) y)
accuracy	18.883252095917932	(/.f64 (fma.f64 z (.f64 z y) (.f64 t (.f64 t (/.f64 (.f64 x x) y)))) (.f64 t (.f64 t y)))
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
accuracy	4.522905580539907	(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy	6.068627918072964	(/.f64 (*.f64 z z) t)
accuracy	17.634651615626186	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(*.f64 t t)
accuracy	0.5903471327181129	(/.f64 #s(literal 1 binary64) (*.f64 t t))
accuracy	10.420240760312064	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (.f64 z z) (/.f64 (.f64 x x) (.f64 y y)))
accuracy	17.634651615626186	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	6.126670913888979	(.f64 x (/.f64 x (.f64 y y)))
accuracy	7.075753368473533	(/.f64 x (*.f64 y y))
accuracy	23.502493889560853	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
accuracy	0	(*.f64 t t)
accuracy	0.00390625	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0.15625	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	14.829244133813956	(/.f64 (.f64 z z) (.f64 t t))

Samples

130.0ms

256×

valid

Compiler

Compiled 247 to 35 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 40.0ms (59.2% of total)

ival-div: 22.0ms (32.5% of total)

ival-add: 5.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.5%)

Memory

-2.0MiB live, 106.6MiB allocated

Counts

24 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y)))
4.0ms	y	@	inf	(* t (* t (/ (* x x) y)))
2.0ms	t	@	0	(* t t)
2.0ms	y	@	0	(/ y x)
1.0ms	y	@	-inf	(/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y)))

simplify234.0ms (2.1%)

Memory

23.2MiB live, 330.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 372×	`lower-*.f64`
5 372×	`lower-*.f32`
3 678×	`lower-/.f32`
3 678×	`lower-/.f64`
3 130×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	6066
1	153	6066
2	515	6066
3	2239	6066
4	4712	6066
0	8128	5850

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

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

rewrite590.0ms (5.4%)

Memory

12.4MiB live, 613.3MiB allocated

Rules

5 062×	`lower-fma.f32`
5 058×	`lower-fma.f64`
4 434×	`lower-/.f32`
4 412×	`lower-/.f64`
3 616×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	195
0	63	189
1	243	151
2	2768	151
0	8339	151

Stop Event

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

Counts

24 → 1 664

Calls

Call 1

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

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

eval467.0ms (4.2%)

Memory: -1.5MiB live, 540.3MiB allocated
Compiler: Compiled 62 791 to 2 341 computations (96.3% saved)

prune342.0ms (3.1%)

Memory

-29.6MiB live, 516.9MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 578	16	2 594
Fresh	9	7	16
Picked	3	2	5
Done	0	0	0
Total	2 590	25	2 615

Accuracy

100.0%

Counts

2 615 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.2%	(fma.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 x x) (*.f64 y y)))
	79.2%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	73.4%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
✓	65.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (.f64 z z) (/.f64 (.f64 x x) (.f64 y y)))
	46.9%	(/.f64 (fma.f64 (/.f64 x (neg.f64 y)) (.f64 t t) (.f64 (neg.f64 (/.f64 y x)) (.f64 z z))) (.f64 (neg.f64 (/.f64 y x)) (*.f64 t t)))
	60.9%	(/.f64 (fma.f64 (.f64 y z) z (/.f64 (.f64 x (.f64 x (.f64 t t))) y)) (.f64 t (.f64 t y)))
	75.2%	(/.f64 (fma.f64 z (.f64 (/.f64 z t) y) (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
	63.7%	(/.f64 (fma.f64 y (.f64 y (/.f64 (.f64 z z) t)) (.f64 x (.f64 x t))) (.f64 y (.f64 y t)))
▶	43.9%	(/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y)))
▶	89.9%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z))
	79.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	76.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
	80.1%	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 (*.f64 z z) t) t))
	45.2%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 z z) (.f64 t t)))
	49.9%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 x x) (.f64 y y)))
	54.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 x x) y) y))
	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)))
	60.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)))
	60.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))))
	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 x (/.f64 (*.f64 y y) x)))
▶	63.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
▶	48.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
	59.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
✓	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Compiler

Compiled 806 to 459 computations (43.1% saved)

simplify12.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

162×	`lower-*.f32`
140×	`lower-*.f64`
78×	`lower-/.f32`
62×	`lower-/.f64`
62×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	236
0	62	236
1	98	236
2	129	236
3	162	236
4	187	236
5	207	236
6	213	236
0	213	230

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 x y)
x
y
(/.f64 y x)
(.f64 (/.f64 z (.f64 t t)) z)
(/.f64 z (*.f64 t t))
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
(.f64 z (/.f64 z (.f64 t t)))
z
(/.f64 z (*.f64 t t))
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y)))
#s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z)))
(.f64 z (.f64 y z))
z
(*.f64 y z)
y
(.f64 t (.f64 t y))
t
(*.f64 t y)
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t

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

localize234.0ms (2.1%)

Memory

25.7MiB live, 179.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
accuracy	0.10546875	(*.f64 (/.f64 z t) z)
accuracy	4.522905580539907	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	17.634651615626197	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0.11328125	(.f64 z (.f64 y z))
accuracy	0.1484375	(.f64 t (.f64 t y))
accuracy	18.883252095917932	(/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y)))
accuracy	29.669759589314648	#s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z)))
accuracy	0	(/.f64 x y)
accuracy	0.221035009768442	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	23.502493889560853	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy	0	(*.f64 t t)
accuracy	2.50315982486698	(.f64 z (/.f64 z (.f64 t t)))
accuracy	8.970198331434036	(/.f64 z (*.f64 t t))
accuracy	29.053529426865456	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
accuracy	0.00390625	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z))
accuracy	0.15625	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	2.50315982486698	(.f64 (/.f64 z (.f64 t t)) z)
accuracy	8.970198331434036	(/.f64 z (*.f64 t t))

Samples

145.0ms

256×

valid

Compiler

Compiled 210 to 36 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 49.0ms (49.5% of total)

ival-mult: 45.0ms (45.5% of total)

ival-add: 4.0ms (4% of total)

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

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

series174.0ms (1.6%)

Memory

-21.5MiB live, 52.1MiB allocated

Counts

21 → 624

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 x y) (/.f64 y x)) (patch (/.f64 (/.f64 x y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z)) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t)))) #<representation binary64>) () ())
#s(alt (.f64 z (/.f64 z (.f64 t t))) (patch (.f64 z (/.f64 z (.f64 t t))) #<representation binary64>) () ())
#s(alt (/.f64 z (.f64 t t)) (patch (/.f64 z (.f64 t t)) #<representation binary64>) () ())
#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x y) (/.f64 x y)) (patch (.f64 (/.f64 x y) (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y))) (patch (/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (patch #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) #<representation binary64>) () ())
#s(alt (.f64 z (.f64 y z)) (patch (.f64 z (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 z t) z) t) (patch (/.f64 (.f64 (/.f64 z t) z) t) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z (.f64 t t)) z) (patch (.f64 (/.f64 z (.f64 t t)) z) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 t y)) (patch (.f64 t (.f64 t y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z t) z) (patch (.f64 (/.f64 z t) z) #<representation binary64>) () ())

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

Calls

156 calls:

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

simplify323.0ms (2.9%)

Memory

19.6MiB live, 404.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 384×	`lower-*.f64`
5 384×	`lower-*.f32`
3 678×	`lower-/.f32`
3 678×	`lower-/.f64`
3 154×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	5646
1	151	5646
2	510	5646
3	2278	5646
4	4795	5646
0	8218	5430

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

rewrite376.0ms (3.4%)

Memory

-24.1MiB live, 547.9MiB allocated

Rules

7 912×	`lower-fma.f64`
7 912×	`lower-fma.f32`
4 512×	`lower-/.f32`
4 496×	`lower-/.f64`
4 338×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	201
0	62	185
1	226	165
2	2281	165
0	8105	163

Stop Event

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

Counts

21 → 1 238

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) (/.f64 y x))
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z))
(/.f64 x y)
(/.f64 y x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
(.f64 z (/.f64 z (.f64 t t)))
(/.f64 z (*.f64 t t))
(*.f64 t t)
(*.f64 (/.f64 x y) (/.f64 x y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y)))
#s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z)))
(.f64 z (.f64 y z))
(*.f64 y z)
(/.f64 (*.f64 (/.f64 z t) z) t)
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(.f64 (/.f64 z (.f64 t t)) z)
(.f64 t (.f64 t y))
(*.f64 (/.f64 z t) z)

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

eval262.0ms (2.4%)

Memory: 32.1MiB live, 380.8MiB allocated
Compiler: Compiled 37 929 to 2 072 computations (94.5% saved)

prune312.0ms (2.8%)

Memory

41.0MiB live, 459.4MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	2 039	11	2 050
Fresh	7	11	18
Picked	1	4	5
Done	1	1	2
Total	2 048	27	2 075

Accuracy

100.0%

Counts

2 075 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y))))
	73.4%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	75.2%	(/.f64 (fma.f64 z (.f64 (/.f64 z t) y) (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
✓	43.9%	(/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y)))
	86.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) (.f64 (/.f64 z (*.f64 t t)) z))
✓	76.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	89.8%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z))
	45.2%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 z z) (.f64 t t)))
▶	49.9%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 x x) (.f64 y y)))
	49.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
	54.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 x x) y) y))
	54.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)))
	60.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)))
	52.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 t z) t)))
▶	60.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))))
	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 x (/.f64 (*.f64 y y) x)))
	54.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))))
	54.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
✓	63.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
	63.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
	45.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (*.f64 z z)))
▶	52.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 (/.f64 z t) t)))
✓	48.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
	59.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
✓	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Compiler

Compiled 711 to 418 computations (41.2% saved)

simplify234.0ms (2.1%)

Memory

-58.0MiB live, 193.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	1088	(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (/.f64 y x) (neg.f64 y))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))))
cost-diff	640	(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 z (/.f64 (/.f64 z t) t))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 (/.f64 z t) t)))
cost-diff	384	(/.f64 (/.f64 z t) t)
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
cost-diff	0	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 x x) (.f64 y y)))
cost-diff	0	(.f64 (/.f64 z (.f64 t t)) z)
cost-diff	0	(/.f64 x y)
cost-diff	128	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z))
cost-diff	384	(*.f64 (/.f64 x y) (/.f64 x y))

Rules

2 664×	`lower-fma.f64`
2 664×	`lower-fma.f32`
2 096×	`lower-*.f32`
2 082×	`lower-*.f64`
1 312×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	225
0	65	221
1	117	221
2	214	217
3	483	217
4	1232	217
5	2511	217
6	4009	217
7	5375	217
8	6544	217
9	7545	217
10	7860	217
11	7892	217
12	7892	217
0	8052	212

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.2%)

Memory

11.9MiB live, 206.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	6.152393423657422	(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
accuracy	7.075753368473533	(/.f64 x (*.f64 y y))
accuracy	23.502493889560853	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(neg.f64 x)
accuracy	0.0859375	(*.f64 (/.f64 y x) (neg.f64 y))
accuracy	5.967577975255537	(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))
accuracy	23.502493889560853	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))))
accuracy	0	(/.f64 z t)
accuracy	0.109375	(/.f64 (/.f64 z t) t)
accuracy	2.50315982486698	(*.f64 z (/.f64 (/.f64 z t) t))
accuracy	29.053529426865456	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 (/.f64 z t) t)))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	17.634651615626197	(/.f64 (.f64 x x) (.f64 y y))
accuracy	23.502493889560853	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 x x) (.f64 y y)))
accuracy	0.00390625	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z))
accuracy	0.221035009768442	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	2.50315982486698	(.f64 (/.f64 z (.f64 t t)) z)
accuracy	8.970198331434032	(/.f64 z (*.f64 t t))

Samples

90.0ms

256×

valid

Compiler

Compiled 191 to 39 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 47.0ms (65.2% of total)

ival-div: 20.0ms (27.8% of total)

ival-add: 3.0ms (4.2% of total)

ival-neg: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-9.4MiB live, 64.8MiB allocated

Counts

20 → 564

Calls

Call 1

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

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

Calls

141 calls:

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

simplify336.0ms (3.1%)

Memory

-19.7MiB live, 426.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 468×	`lower-fma.f64`
16 468×	`lower-fma.f32`
5 978×	`lower-*.f64`
5 978×	`lower-*.f32`
2 024×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	4992
1	74	4992
2	214	4992
3	874	4992
4	2982	4992
5	4119	4992
6	6560	4992
0	8389	4812

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

rewrite416.0ms (3.8%)

Memory

17.9MiB live, 327.4MiB allocated

Rules

6 274×	`lower-fma.f64`
6 274×	`lower-fma.f32`
4 064×	`lower-/.f32`
4 044×	`lower-/.f64`
3 782×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	198
0	65	184
1	238	144
2	1891	144
0	8451	144

Stop Event

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

Counts

20 → 866

Calls

Call 1

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

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

eval373.0ms (3.4%)

Memory: -2.7MiB live, 242.6MiB allocated
Compiler: Compiled 25 522 to 1 642 computations (93.6% saved)

prune356.0ms (3.2%)

Memory

-5.6MiB live, 351.4MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 510	5	1 515
Fresh	4	13	17
Picked	1	4	5
Done	1	4	5
Total	1 516	26	1 542

Accuracy

100.0%

Counts

1 542 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y))))
	73.4%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	75.2%	(/.f64 (fma.f64 z (.f64 (/.f64 z t) y) (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
✓	43.9%	(/.f64 #s(approx (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (.f64 z (.f64 y z))) (.f64 t (.f64 t y)))
	86.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) (.f64 (/.f64 z (*.f64 t t)) z))
✓	89.8%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z))
	54.0%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (/.f64 (*.f64 x x) y) y))
	45.2%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 z z) (.f64 t t)))
✓	49.9%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 (.f64 x x) (.f64 y y)))
	54.8%	#s(approx (/ (+ (* z (* z y)) (* t (* t (/ (* x x) y)))) (* t (* t y))) (/.f64 x (/.f64 (*.f64 y y) x)))
	49.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
	54.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	52.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z (neg.f64 t)) z) (neg.f64 t)))
	60.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)))
	52.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (*.f64 (/.f64 t z) (neg.f64 t))))
✓	60.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))))
	60.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 x) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))))
	54.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
✓	63.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
	63.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
	45.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (*.f64 z z)))
✓	52.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 (/.f64 z t) t)))
✓	48.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
	59.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
✓	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
	54.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Compiler

Compiled 1 079 to 362 computations (66.5% saved)

regimes373.0ms (3.4%)

Memory

-18.3MiB live, 273.2MiB allocated

Counts

54 → 2

Calls

Call 1

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

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

Calls

11 calls:

103.0ms	y
66.0ms	(*.f64 x x)
64.0ms	t
30.0ms	(*.f64 z z)
20.0ms	x

Results

Accuracy	Segments	Branch
91.5%	2	`x`
94.6%	2	`y`
93.5%	2	`z`
96.6%	4	`t`
89.9%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
97.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`
89.9%	1	`(*.f64 x x)`
94.6%	2	`(*.f64 y y)`
96.2%	2	`(/.f64 (.f64 z z) (.f64 t t))`
93.5%	2	`(*.f64 z z)`
93.2%	2	`(*.f64 t t)`

Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes12.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

43 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes20.0ms (0.2%)

Memory

-2.7MiB live, 36.6MiB allocated

Counts

34 → 2

Calls

Call 1

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

Calls

2 calls:

10.0ms	(/.f64 (.f64 z z) (.f64 t t))
8.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
94.8%	2	`(/.f64 (.f64 z z) (.f64 t t))`
94.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes126.0ms (1.1%)

Memory

26.1MiB live, 184.7MiB allocated

Counts

32 → 4

Calls

Call 1

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

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

Calls

11 calls:

28.0ms	y
19.0ms	z
11.0ms	t
9.0ms	(*.f64 x x)
9.0ms	x

Results

Accuracy	Segments	Branch
84.8%	2	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
84.1%	2	`(*.f64 x x)`
85.6%	2	`x`
88.8%	3	`(*.f64 t t)`
88.8%	3	`t`
89.8%	3	`z`
89.8%	3	`(*.f64 z z)`
93.4%	4	`(/.f64 (.f64 x x) (.f64 y y))`
85.1%	2	`y`
85.1%	2	`(*.f64 y y)`
89.5%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes43.0ms (0.4%)

Memory

-26.2MiB live, 52.0MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

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

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

Calls

2 calls:

33.0ms	(/.f64 (.f64 z z) (.f64 t t))
8.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
88.1%	3	`(/.f64 (.f64 z z) (.f64 t t))`
90.4%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
90.4%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes169.0ms (1.5%)

Memory

-5.2MiB live, 116.0MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

Calls

6 calls:

94.0ms	(*.f64 z z)
37.0ms	(/.f64 (.f64 x x) (.f64 y y))
16.0ms	t
7.0ms	z
7.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
83.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`
75.8%	2	`t`
75.8%	2	`(*.f64 t t)`
78.1%	2	`(*.f64 z z)`
78.1%	2	`z`
86.0%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes32.0ms (0.3%)

Memory

5.7MiB live, 45.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 (/.f64 z t) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.7%	2	`(*.f64 x x)`
63.1%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
78.7%	2	`y`
78.7%	2	`(*.f64 y y)`
73.7%	2	`x`
83.9%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 54 to 36 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory

-29.3MiB live, 12.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 (/.f64 z t) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.0%	2	`(/.f64 (.f64 z z) (.f64 t t))`
80.7%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes43.0ms (0.4%)

Memory

-3.6MiB live, 35.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 z (*.f64 t t))))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))

Calls

6 calls:

29.0ms	z
3.0ms	y
2.0ms	(*.f64 z z)
2.0ms	(*.f64 y y)
2.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
69.3%	2	`z`
69.3%	2	`(*.f64 z z)`
71.7%	2	`y`
71.7%	2	`(*.f64 y y)`
79.0%	3	`(/.f64 (.f64 z z) (.f64 t t))`
75.1%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes15.0ms (0.1%)

Memory

31.8MiB live, 31.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 z (*.f64 t t))))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 x (*.f64 y y))))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 z (/.f64 z (*.f64 t t))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
64.7%	2	`x`
64.7%	2	`(*.f64 x x)`
73.8%	3	`(/.f64 (.f64 x x) (.f64 y y))`
68.8%	2	`t`
68.8%	2	`(*.f64 t t)`
73.2%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes16.0ms (0.1%)

Memory

-5.7MiB live, 33.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

Calls

11 calls:

3.0ms	(*.f64 y y)
1.0ms	y
1.0ms	x
1.0ms	t
1.0ms	z

Results

Accuracy	Segments	Branch
54.8%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
54.8%	1	`x`
54.8%	1	`(*.f64 x x)`
54.8%	1	`t`
54.8%	1	`(*.f64 t t)`
54.8%	1	`z`
54.8%	1	`(*.f64 z z)`
54.8%	1	`y`
54.8%	1	`(*.f64 y y)`
54.8%	1	`(/.f64 (.f64 z z) (.f64 t t))`
54.8%	1	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 89 to 61 computations (31.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.909990360903794e-9	1.0158102378635244e+22

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	1.3786106377746033e-15	2.909990360903794e-9

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	5.974500516155491e+291	+inf

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	9.842294014759335e+246	2.8374906873846446e+283
0.0ms	5.210239031679903e-231	4.099183853609132e-221

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8374906873846446e+283	1.4716741013467473e+291
0.0ms	5.210239031679903e-231	4.099183853609132e-221

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	9.842294014759335e+246	2.8374906873846446e+283
0.0ms	4.099183853609132e-221	3.303413439226324e-213

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	4.501212021548001e-78	1.912230801450792e-77

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	4.501212021548001e-78	1.912230801450792e-77

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	4.501212021548001e-78	1.912230801450792e-77

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	8.886898089613052e-165	1.4665222312609314e-121

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.348526560544038e-119	5.793116960174838e-117

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify17.0ms (0.2%)

Memory

-17.7MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	753
1	98	753

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))) (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 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 x x) (.f64 y y)) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 9999999999999999521471949292288813605336325386252733424243721120057734844449743607990664678980731410286045846847437914107950925140755956518597266575720169912499958425309195700665115678820350271193610461511698595727381924297989722331966923339726848 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (*.f64 t t))))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 9999999999999999521471949292288813605336325386252733424243721120057734844449743607990664678980731410286045846847437914107950925140755956518597266575720169912499958425309195700665115678820350271193610461511698595727381924297989722331966923339726848 binary64)) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 (/.f64 z t) t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 (/.f64 z t) t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 (/.f64 x y) y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t)))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

Outputs
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))) (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (/.f64 z (.f64 t t)) z)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))) (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 z (/.f64 z (.f64 t t)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 x (/.f64 x (.f64 y y)))) (+.f64 (.f64 z (/.f64 z (.f64 t t))) (*.f64 (/.f64 x y) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 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 x x) (.f64 y y)) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 9999999999999999521471949292288813605336325386252733424243721120057734844449743607990664678980731410286045846847437914107950925140755956518597266575720169912499958425309195700665115678820350271193610461511698595727381924297989722331966923339726848 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (*.f64 t t))))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688 binary64)) (fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 9999999999999999521471949292288813605336325386252733424243721120057734844449743607990664678980731410286045846847437914107950925140755956518597266575720169912499958425309195700665115678820350271193610461511698595727381924297989722331966923339726848 binary64)) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 (/.f64 z t) t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 (/.f64 z t) t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 (/.f64 x y) y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t)))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

soundness1.5s (13.2%)

Memory

14.5MiB live, 881.1MiB allocated

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
9 024×	`lower-fma.f64`
9 024×	`lower-fma.f32`
7 912×	`lower-fma.f64`

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	11	38
0	18	38
1	69	30
2	813	30
0	8377	30
0	41	201
0	62	185
1	226	165
2	2281	165
0	8105	163
0	38	195
0	63	189
1	243	151
2	2768	151
0	8339	151

Stop Event

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

Compiler

Compiled 1 522 to 569 computations (62.6% saved)

preprocess123.0ms (1.1%)

Memory

-5.4MiB live, 190.2MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 1 356 to 356 computations (73.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	41	236
0	62	236
1	98	236
2	129	236
3	162	236
4	187	236
5	207	236
6	213	236
0	213	230

Iter	Nodes	Cost
0	41	236
0	62	236
1	98	236
2	129	236
3	162	236
4	187	236
5	207	236
6	213	236
0	213	230

start0.0ms (0%)

analyze258.0ms (2.4%)

sample915.0ms (8.3%)

explain189.0ms (1.7%)

preprocess275.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize52.0ms (0.5%)

series11.0ms (0.1%)

simplify227.0ms (2.1%)

rewrite403.0ms (3.7%)

eval65.0ms (0.6%)

prune150.0ms (1.4%)

simplify509.0ms (4.6%)

localize195.0ms (1.8%)

series57.0ms (0.5%)

simplify234.0ms (2.1%)

rewrite590.0ms (5.4%)

eval467.0ms (4.2%)

prune342.0ms (3.1%)

simplify12.0ms (0.1%)

localize234.0ms (2.1%)

series174.0ms (1.6%)

simplify323.0ms (2.9%)

rewrite376.0ms (3.4%)

eval262.0ms (2.4%)

prune312.0ms (2.8%)

simplify234.0ms (2.1%)

localize129.0ms (1.2%)

series26.0ms (0.2%)

simplify336.0ms (3.1%)

rewrite416.0ms (3.8%)

eval373.0ms (3.4%)

prune356.0ms (3.2%)

regimes373.0ms (3.4%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes126.0ms (1.1%)

regimes43.0ms (0.4%)

regimes8.0ms (0.1%)

regimes169.0ms (1.5%)

regimes32.0ms (0.3%)

regimes27.0ms (0.2%)

regimes43.0ms (0.4%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

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%)

simplify17.0ms (0.2%)

soundness1.5s (13.2%)

preprocess123.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	41	236
0	62	236
1	98	236
2	129	236
3	162	236
4	187	236
5	207	236
6	213	236
0	213	230