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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze141.0ms (1.2%)

Memory

2.5MiB live, 280.9MiB 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)

sample1.6s (13.8%)

Memory

42.9MiB live, 1 474.4MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 560.0ms

ival-mult: 412.0ms (73.6% of total)

ival-div: 93.0ms (16.6% of total)

ival-add: 46.0ms (8.2% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain126.0ms (1.1%)

Memory

-48.2MiB live, 243.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	1	(-1.2836512713680739e-129 -2.6256383845958124e+125 -1.0059004352441452e-159 -1.2585426833202757e-146)	`(/.f64 (.f64 z z) (.f64 t t))`
54	-	1	(1.9287763728147994e-155 7.581609950268456e-116 -3.641646797491683e-178 -1.623783370916881e+36)	`(/.f64 (.f64 x x) (.f64 y y))`
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))`	u/u	17	0
↳	`(*.f64 z z)`	underflow	64
↳	`(*.f64 t t)`	underflow	70
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	14	0
↳	`(*.f64 z z)`	overflow	58
↳	`(*.f64 t t)`	overflow	64
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	12	0
↳	`(*.f64 x x)`	overflow	59
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	9	0
↳	`(*.f64 x x)`	underflow	60
↳	`(*.f64 y y)`	underflow	55
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	9	0
↳	`(*.f64 y y)`	underflow	55
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	9	0
↳	`(*.f64 x x)`	overflow	59
↳	`(*.f64 y y)`	overflow	54
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	6	0
↳	`(*.f64 t t)`	overflow	64
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	5	0
↳	`(*.f64 t t)`	underflow	70
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	5	0
↳	`(*.f64 z z)`	overflow	58
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	4	0
↳	`(*.f64 z z)`	underflow	64
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	3	0
↳	`(*.f64 y y)`	overflow	54
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	3	0
↳	`(*.f64 x x)`	underflow	60

Confusion

	Predicted +	Predicted -
+	76	9
-	18	153

Precision

0.8085106382978723

Recall

0.8941176470588236

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	9
-	18	0	153

Precision?

0.8085106382978723

Recall?

0.8941176470588236

Freqs

test

number	freq
0	162
1	92
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

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

ival-mult: 13.0ms (57% of total)

ival-div: 7.0ms (30.7% of total)

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

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

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

preprocess268.0ms (2.3%)

Memory

13.8MiB live, 52.1MiB 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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

localize51.0ms (0.4%)

Memory

-22.6MiB live, 57.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t t)
accuracy	0.01171875	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	12.617777550589748	(/.f64 (.f64 x x) (.f64 y y))
accuracy	15.624187667072144	(/.f64 (.f64 z z) (.f64 t t))

Samples

39.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (57.5% of total)

ival-div: 3.0ms (28.7% of total)

ival-add: 1.0ms (9.6% of total)

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

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

series27.0ms (0.2%)

Memory

13.9MiB live, 52.5MiB 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>) () ())) ())
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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 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>) () ())) ())
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#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>) () ())) ())
#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) (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>) () ())) ())
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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
2.0ms	t	@	0	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
1.0ms	x	@	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)))

simplify221.0ms (1.9%)

Memory

25.9MiB live, 344.2MiB 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)

rewrite281.0ms (2.4%)

Memory

13.1MiB live, 512.7MiB 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)))
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eval84.0ms (0.7%)

Memory: -33.2MiB live, 183.3MiB allocated
Compiler: Compiled 12 236 to 1 042 computations (91.5% saved)

prune96.0ms (0.8%)

Memory

0.7MiB live, 237.2MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

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

Accuracy

98.1%

Counts

535 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(fma.f64 (/.f64 z (.f64 t t)) z (/.f64 (.f64 x x) (*.f64 y y)))
	85.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	72.1%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	79.3%	(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
▶	67.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x) (/.f64 (.f64 z z) (.f64 t t)))
▶	80.7%	(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)) (/.f64 (.f64 x x) (*.f64 y y)))
	76.5%	(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	79.0%	(/.f64 (fma.f64 z (.f64 (/.f64 z t) y) (.f64 t (/.f64 (.f64 x x) y))) (.f64 t y))
	38.2%	(/.f64 (fma.f64 z (.f64 z (.f64 y (/.f64 y (.f64 x x)))) (.f64 t t)) (.f64 t (.f64 t (.f64 y (/.f64 y (.f64 x x))))))
	64.5%	(/.f64 (fma.f64 z (.f64 z y) (.f64 t (.f64 t (/.f64 (.f64 x x) y)))) (.f64 t (.f64 t y)))
	72.1%	(+.f64 (/.f64 (/.f64 (.f64 x x) y) y) (/.f64 (.f64 z z) (*.f64 t t)))
	77.8%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
▶	76.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
▶	85.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
	83.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
	77.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) x))) (/.f64 (.f64 z z) (*.f64 t t)))
	64.1%	(.f64 (fma.f64 z (.f64 z y) (.f64 t (.f64 t (/.f64 (.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t y))))
	60.6%	(.f64 (fma.f64 x (.f64 x t) (/.f64 (.f64 (.f64 (.f64 z z) y) y) t)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) t)))
	50.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 z (/.f64 z (.f64 t t))))
▶	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

Compiler

Compiled 800 to 448 computations (44% saved)

simplify16.0ms (0.1%)

Memory

-2.9MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z t)
cost-diff	0	(/.f64 #s(literal 1 binary64) t)
cost-diff	0	(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)) (/.f64 (.f64 x x) (*.f64 y y)))
cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))
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 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x) (/.f64 (.f64 z z) (.f64 t t)))
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 x x)
cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
cost-diff	768	(/.f64 (/.f64 z t) (/.f64 t z))

Rules

158×	`lower-*.f32`
146×	`lower-*.f64`
78×	`lower-/.f32`
62×	`associate-r`
58×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	224
0	53	222
1	90	215
2	134	215
3	201	215
4	252	215
5	265	215
6	267	215
7	271	215
8	278	215
9	282	215
0	282	215

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

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

localize97.0ms (0.8%)

Memory

31.7MiB live, 188.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.189785009768442	(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))
accuracy	3.1144581041847093	(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)) (/.f64 (.f64 x x) (*.f64 y y)))
accuracy	12.61777755058975	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0.01171875	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
accuracy	3.293578135824421	(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy	8.917817738235216	(/.f64 (*.f64 z z) t)
accuracy	12.61777755058975	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(*.f64 t t)
accuracy	0.45344771648121834	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	9.176166006118065	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	15.624187667072144	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(*.f64 y y)
accuracy	3.3391980664789855	(.f64 x (/.f64 x (.f64 y y)))
accuracy	5.041004332473292	(/.f64 x (*.f64 y y))
accuracy	25.683320250707677	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
accuracy	0.1640625	(/.f64 (/.f64 z t) (/.f64 t z))
accuracy	12.61777755058975	(/.f64 (.f64 x x) (.f64 y y))

Samples

57.0ms

256×

valid

Compiler

Compiled 220 to 30 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 14.0ms (40.1% of total)

ival-mult: 11.0ms (31.5% of total)

ival-add: 9.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

7.5MiB live, 46.7MiB allocated

Counts

19 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(* (/ 1 t) (/ z t))
2.0ms	z	@	inf	(* (/ 1 t) (/ z t))
0.0ms	x	@	inf	(/ x (* y y))
0.0ms	x	@	-inf	(/ x (* y y))
0.0ms	z	@	-inf	(* (/ 1 t) (/ z t))

simplify413.0ms (3.6%)

Memory

-23.7MiB live, 260.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 106×	`lower-fma.f64`
9 106×	`lower-fma.f32`
5 844×	`lower-*.f64`
5 844×	`lower-*.f32`
1 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	4716
1	65	4716
2	195	4716
3	831	4716
4	2889	4716
5	4006	4716
6	6328	4716
7	7816	4716
0	8120	4536

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

rewrite372.0ms (3.2%)

Memory

-6.0MiB live, 471.6MiB allocated

Rules

5 528×	`lower-/.f32`
5 508×	`lower-/.f64`
4 102×	`lower-fma.f32`
4 098×	`lower-fma.f64`
2 958×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	157
0	53	155
1	223	119
2	2478	119
0	8188	119

Stop Event

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

Counts

19 → 1 566

Calls

Call 1

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

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

eval567.0ms (4.9%)

Memory: -90.9MiB live, 530.3MiB allocated
Compiler: Compiled 53 647 to 2 061 computations (96.2% saved)

prune367.0ms (3.2%)

Memory

5.3MiB live, 484.4MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 447	19	2 466
Fresh	11	4	15
Picked	3	2	5
Done	0	0	0
Total	2 461	25	2 486

Accuracy

100.0%

Counts

2 486 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	72.1%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	79.3%	(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
	80.7%	(fma.f64 z (/.f64 (/.f64 z t) t) (/.f64 (.f64 x x) (.f64 y y)))
	80.7%	(fma.f64 z (/.f64 #s(literal 1 binary64) (.f64 t (/.f64 t z))) (/.f64 (.f64 x x) (*.f64 y y)))
	85.5%	(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)) (/.f64 (/.f64 (.f64 x x) y) y))
	86.3%	(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)) (.f64 (/.f64 x (*.f64 y y)) x))
✓	76.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
	83.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	80.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (*.f64 t (/.f64 t z))))
	80.9%	(+.f64 (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 z z) t) t))
▶	90.7%	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))
	89.2%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t))
	52.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (.f64 x x) (.f64 y y)))
▶	50.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 z (.f64 t t))))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 x x) y) y))
	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y)))
▶	59.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
	52.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x x)))
	56.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
	56.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
✓	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
▶	56.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) x)))))
	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Compiler

Compiled 777 to 452 computations (41.8% saved)

simplify15.0ms (0.1%)

Memory

-26.2MiB live, 17.9MiB 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 z (*.f64 t (/.f64 t z))))
cost-diff	384	(/.f64 z (*.f64 t (/.f64 t z)))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) x)))))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
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 x (*.f64 y y))
cost-diff	0	(.f64 (/.f64 x (.f64 y y)) x)
cost-diff	128	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))
cost-diff	768	(/.f64 (/.f64 z t) (/.f64 t z))

Rules

100×	`lower-*.f32`
94×	`lower-/.f32`
82×	`lower-*.f64`
72×	`lower-/.f64`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	234
0	62	220
1	94	218
2	125	218
3	187	218
4	214	218
5	216	218
6	218	218
7	224	218
8	233	218
9	238	218
0	238	213

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize139.0ms (1.2%)

Memory

-30.2MiB live, 159.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (*.f64 t (/.f64 t z))))
accuracy	0.125	(*.f64 t (/.f64 t z))
accuracy	4.454913400227268	(/.f64 z (*.f64 t (/.f64 t z)))
accuracy	12.617777550589748	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0.23046875	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	0.30858455518553385	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
accuracy	3.3391980664789855	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) x))))
accuracy	25.683320250707677	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) x)))))
accuracy	0	(/.f64 x y)
accuracy	0.22169877930532603	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	25.683320250707677	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy	0	(*.f64 t t)
accuracy	4.564199209420686	(.f64 z (/.f64 z (.f64 t t)))
accuracy	8.33547071024499	(/.f64 z (*.f64 t t))
accuracy	26.270103765339343	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 z (.f64 t t))))
accuracy	0.01171875	(+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z)))
accuracy	0.1640625	(/.f64 (/.f64 z t) (/.f64 t z))
accuracy	3.3391980664789855	(.f64 (/.f64 x (.f64 y y)) x)
accuracy	5.041004332473292	(/.f64 x (*.f64 y y))

Samples

72.0ms

256×

valid

Compiler

Compiled 208 to 35 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 21.0ms (52.6% of total)

ival-mult: 14.0ms (35.1% of total)

ival-add: 4.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.2%)

Memory

8.4MiB live, 46.3MiB allocated

Counts

21 → 600

Calls

Call 1

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

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

Calls

150 calls:

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

simplify315.0ms (2.7%)

Memory

24.4MiB live, 255.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
5 900×	`lower-*.f64`
5 900×	`lower-*.f32`
1 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	5232
1	65	5232
2	200	5232
3	840	5232
4	2936	5232
5	4045	5232
6	6403	5232
7	7897	5232
0	8201	5052

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

rewrite540.0ms (4.7%)

Memory

-7.4MiB live, 399.0MiB allocated

Rules

5 262×	`lower-/.f32`
5 240×	`lower-/.f64`
4 594×	`lower-fma.f64`
4 594×	`lower-fma.f32`
3 828×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	201
0	62	163
1	254	145
2	2609	145
0	8741	145

Stop Event

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

Counts

21 → 1 573

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 t (/.f64 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 (*.f64 z z) t) (neg.f64 t)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 t (neg.f64 t))) (/.f64 (.f64 z z) (*.f64 t (neg.f64 t))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) z)) (*.f64 (/.f64 z t) (/.f64 z (neg.f64 t))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 t (/.f64 t z)))) (.f64 z (/.f64 z (*.f64 t (neg.f64 t)))))
(neg.f64 (.f64 (neg.f64 z) (/.f64 z (.f64 t t))))
(neg.f64 (/.f64 (neg.f64 (.f64 z z)) (.f64 t t)))
(neg.f64 (.f64 z (/.f64 z (.f64 t (neg.f64 t)))))
(neg.f64 (/.f64 (.f64 z z) (.f64 t (neg.f64 t))))
(neg.f64 (/.f64 (/.f64 (*.f64 z z) t) (neg.f64 t)))
(neg.f64 (*.f64 (/.f64 z t) (/.f64 z (neg.f64 t))))
(/.f64 z (*.f64 t (/.f64 t z)))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (.f64 z z) (.f64 t t))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 (/.f64 (*.f64 z z) t) (neg.f64 (neg.f64 t)))
(/.f64 (/.f64 z (*.f64 t t)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (.f64 t (/.f64 t (.f64 z z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 t (/.f64 t (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (/.f64 t z)) (.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) (.f64 (*.f64 z z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 t (.f64 (/.f64 (.f64 z z) t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (/.f64 t z)) (.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 t (/.f64 t z))) (.f64 #s(literal 1 binary64) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 t (/.f64 t z))) (.f64 (neg.f64 z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (neg.f64 t)) (.f64 (neg.f64 (*.f64 z z)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 t (/.f64 t (.f64 z z)))))
(/.f64 (*.f64 z (/.f64 z (neg.f64 t))) (neg.f64 t))
(/.f64 (*.f64 z (/.f64 z (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (/.f64 z (neg.f64 t)) (/.f64 (neg.f64 t) z))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 t (/.f64 t z))))
(/.f64 (neg.f64 (.f64 z z)) (.f64 t (neg.f64 t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t (*.f64 z z)))
(/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t))
(/.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 #s(literal 1 binary64) z) (.f64 t (/.f64 t z)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (.f64 t (/.f64 t z))))
(/.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (.f64 t (/.f64 t z))))
(/.f64 (.f64 (neg.f64 (.f64 z z)) #s(literal 1 binary64)) (*.f64 t (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (*.f64 t (/.f64 t z)))))
(/.f64 (neg.f64 (neg.f64 (.f64 z z))) (neg.f64 (.f64 t (neg.f64 t))))
(/.f64 (neg.f64 (/.f64 z (*.f64 t t))) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 t (*.f64 z z))))
(/.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) (neg.f64 (.f64 t (/.f64 t z))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (*.f64 t (/.f64 t z))))))
(/.f64 (neg.f64 (.f64 (.f64 z z) #s(literal 1 binary64))) (*.f64 t (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 z z)))) (neg.f64 (neg.f64 (.f64 t (neg.f64 t)))))
(/.f64 (neg.f64 (*.f64 (/.f64 z t) (neg.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) t) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) z)) (neg.f64 (.f64 t (/.f64 t z))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 (neg.f64 (.f64 t (/.f64 t z)))))
(/.f64 (neg.f64 (.f64 (neg.f64 z) #s(literal 1 binary64))) (neg.f64 (neg.f64 (.f64 t (/.f64 t z)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 z z)) #s(literal 1 binary64))) (neg.f64 (*.f64 t (neg.f64 t))))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(pow.f64 (/.f64 t z) #s(literal -2 binary64))
(pow.f64 (/.f64 z (neg.f64 t)) #s(literal 2 binary64))
(pow.f64 (.f64 t (/.f64 t (.f64 z z))) #s(literal -1 binary64))
(.f64 z (/.f64 z (.f64 t t)))
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eval495.0ms (4.3%)

Memory: 24.3MiB live, 440.1MiB allocated
Compiler: Compiled 41 470 to 2 320 computations (94.4% saved)

prune346.0ms (3%)

Memory

8.3MiB live, 570.3MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	2 217	12	2 229
Fresh	7	11	18
Picked	3	2	5
Done	1	1	2
Total	2 228	26	2 254

Accuracy

100.0%

Counts

2 254 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	72.1%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	79.3%	(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
	80.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	80.9%	(+.f64 (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 z z) t) t))
▶	89.2%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t))
▶	52.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 (*.f64 z z) t) t))
	58.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z)))
	57.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t)))
	47.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (.f64 z z) (.f64 t t)))
▶	52.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (.f64 x x) (.f64 y y)))
	55.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 z (*.f64 t (/.f64 t z))))
▶	52.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) t)))
	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (*.f64 (/.f64 z t) (/.f64 z t)))
	55.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (*.f64 z (/.f64 (/.f64 z t) t)))
✓	50.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 z (.f64 t t))))
	55.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 #s(literal 1 binary64) (.f64 t (/.f64 t z)))))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 x x) y) y))
▶	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y))
✓	59.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
	59.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
	52.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x x)))
	56.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 x (/.f64 (/.f64 x y) y)))
✓	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
	56.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))))
	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Compiler

Compiled 698 to 408 computations (41.5% saved)

simplify44.0ms (0.4%)

Memory

-20.1MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

86×	`lower-*.f32`
74×	`lower-*.f64`
40×	`associate-r`
40×	`associate-l`
30×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	210
0	44	206
1	63	206
2	85	206
3	124	206
4	145	206
5	145	206
0	145	201

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.7%)

Memory

-23.8MiB live, 194.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	3.345023155361305	(.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) t))
accuracy	8.917817738235222	(/.f64 (*.f64 z z) t)
accuracy	26.270103765339343	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) t)))
accuracy	0	(*.f64 z z)
accuracy	3.2935781358244207	(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy	8.917817738235222	(/.f64 (*.f64 z z) t)
accuracy	26.270103765339343	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 (*.f64 z z) t) t))
accuracy	0	(/.f64 x y)
accuracy	0.12109375	(*.f64 (/.f64 x y) x)
accuracy	2.5334191685491874	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	25.683320250707677	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	12.617777550589748	(/.f64 (.f64 x x) (.f64 y y))
accuracy	25.683320250707677	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (.f64 x x) (.f64 y y)))
accuracy	0.01171875	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t))
accuracy	0.22169877930532603	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	3.2935781358244207	(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy	8.917817738235222	(/.f64 (*.f64 z z) t)

Samples

44.0ms

256×

valid

Compiler

Compiled 178 to 24 computations (86.5% saved)

Precisions

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

ival-div: 11.0ms (40.4% of total)

ival-mult: 10.0ms (36.8% of total)

ival-add: 6.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

16 → 468

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

Calls

117 calls:

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

simplify654.0ms (5.7%)

Memory

-2.1MiB live, 387.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 836×	`lower-fma.f64`
8 836×	`lower-fma.f32`
5 804×	`lower-*.f64`
5 804×	`lower-*.f32`
1 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	4500
1	63	4500
2	194	4500
3	832	4500
4	2829	4500
5	3934	4500
6	6222	4500
7	7704	4500
0	8008	4320

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

rewrite336.0ms (2.9%)

Memory

6.9MiB live, 577.1MiB allocated

Rules

18 042×	`lower-fma.f64`
18 042×	`lower-fma.f32`
4 532×	`lower-/.f32`
4 520×	`lower-/.f64`
4 124×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	44	144
1	147	126
2	1740	126
0	8487	126

Stop Event

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

Counts

16 → 815

Calls

Call 1

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

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

eval236.0ms (2%)

Memory: -16.1MiB live, 333.7MiB allocated
Compiler: Compiled 26 731 to 1 698 computations (93.6% saved)

prune435.0ms (3.8%)

Memory

18.1MiB live, 294.7MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1 644	8	1 652
Fresh	6	12	18
Picked	0	5	5
Done	0	3	3
Total	1 650	28	1 678

Accuracy

100.0%

Counts

1 678 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	72.1%	(fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t)))
	79.3%	(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t)))
	80.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	80.9%	(+.f64 (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 z z) t) t))
✓	89.2%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t))
	86.8%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z (*.f64 t t)) z))
✓	52.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 (*.f64 z z) t) t))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
	58.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z)))
	57.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (*.f64 (/.f64 z t) z) t))
	47.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (.f64 z z) (.f64 t t)))
✓	52.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (.f64 x x) (.f64 y y)))
	55.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 z (*.f64 t (/.f64 t z))))
	56.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 x (*.f64 (/.f64 y x) y)))
✓	52.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) t)))
	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (*.f64 (/.f64 z t) (/.f64 z t)))
	52.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x x)))
	52.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 z z)) (/.f64 #s(literal 1 binary64) t)))
	55.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (*.f64 z (/.f64 (/.f64 z t) t)))
✓	50.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 z (.f64 t t))))
	55.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 #s(literal 1 binary64) (.f64 t (/.f64 t z)))))
✓	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x))) y))
	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) x) y))
✓	59.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
✓	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))
	54.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Compiler

Compiled 1 161 to 360 computations (69% saved)

regimes409.0ms (3.5%)

Memory

25.5MiB live, 257.7MiB allocated

Counts

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

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

Calls

11 calls:

80.0ms	(*.f64 t t)
75.0ms	(/.f64 (.f64 z z) (.f64 t t))
66.0ms	z
65.0ms	(/.f64 (.f64 x x) (.f64 y y))
24.0ms	y

Results

Accuracy	Segments	Branch
92.9%	2	`x`
98.1%	3	`y`
96.2%	3	`z`
96.1%	3	`t`
90.7%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
97.4%	2	`(/.f64 (.f64 x x) (.f64 y y))`
92.9%	2	`(*.f64 x x)`
96.3%	2	`(*.f64 y y)`
97.4%	2	`(/.f64 (.f64 z z) (.f64 t t))`
96.2%	3	`(*.f64 z z)`
94.2%	2	`(*.f64 t t)`

Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes49.0ms (0.4%)

Memory

-19.2MiB live, 80.1MiB allocated

Counts

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

Outputs
(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 (.f64 z z) t) t))

Calls

3 calls:

17.0ms	(/.f64 (.f64 x x) (.f64 y y))
14.0ms	y
12.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
97.7%	5	`y`
96.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`
95.5%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes92.0ms (0.8%)

Memory

-29.9MiB live, 48.1MiB allocated

Counts

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

Outputs
(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))

Calls

2 calls:

69.0ms	(*.f64 y y)
12.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
95.9%	4	`(*.f64 y y)`
96.2%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes116.0ms (1%)

Memory

28.5MiB live, 187.8MiB allocated

Counts

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

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

Calls

9 calls:

25.0ms	(*.f64 z z)
13.0ms	t
13.0ms	y
12.0ms	(*.f64 x x)
11.0ms	x

Results

Accuracy	Segments	Branch
90.9%	3	`x`
90.6%	3	`(*.f64 x x)`
92.5%	4	`y`
91.3%	3	`(*.f64 t t)`
91.3%	3	`t`
91.3%	3	`z`
91.3%	3	`(*.f64 z z)`
92.8%	2	`(/.f64 (.f64 z z) (.f64 t t))`
92.1%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes104.0ms (0.9%)

Memory

-21.2MiB live, 92.9MiB allocated

Counts

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

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

Calls

4 calls:

49.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
31.0ms	(/.f64 (.f64 z z) (.f64 t t))
12.0ms	(/.f64 (.f64 x x) (.f64 y y))
10.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
91.0%	3	`(/.f64 (.f64 x x) (.f64 y y))`
85.2%	2	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
88.0%	3	`(*.f64 y y)`
90.0%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 48 to 30 computations (37.5% saved)

regimes110.0ms (1%)

Memory

-6.5MiB live, 279.4MiB allocated

Counts

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

Outputs

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

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

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

Calls

9 calls:

15.0ms	(*.f64 x x)
14.0ms	(*.f64 z z)
12.0ms	x
12.0ms	(*.f64 t t)
12.0ms	y

Results

Accuracy	Segments	Branch
88.0%	3	`(*.f64 x x)`
88.4%	3	`x`
87.9%	3	`y`
90.5%	3	`(/.f64 (.f64 x x) (.f64 y y))`
85.0%	3	`z`
85.0%	3	`(*.f64 z z)`
83.4%	2	`t`
84.8%	3	`(*.f64 t t)`
87.1%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

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

Outputs

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

(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)))

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
88.9%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes88.0ms (0.8%)

Memory

4.1MiB live, 120.1MiB 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 (+ (/ (* 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 x x) (.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.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 y y)) (*.f64 x x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x x)))
#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 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y))
#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 z (/.f64 (/.f64 z t) t)))
#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 x) y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 z (*.f64 t (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (*.f64 (/.f64 z t) z) t))
#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 (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 z (/.f64 #s(literal 1 binary64) (.f64 t (/.f64 t z)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (.f64 (/.f64 (.f64 z z) t) (/.f64 #s(literal 1 binary64) 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 (.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 z z)) (/.f64 #s(literal 1 binary64) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) 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 t z)))

(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 x y)))

Calls

6 calls:

37.0ms	y
12.0ms	(/.f64 (.f64 z z) (.f64 t t))
11.0ms	x
9.0ms	(*.f64 y y)
8.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
82.1%	3	`y`
81.8%	3	`(*.f64 y y)`
84.5%	3	`(*.f64 x x)`
85.2%	3	`x`
86.0%	3	`(/.f64 (.f64 z z) (.f64 t t))`
87.8%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes45.0ms (0.4%)

Memory

11.4MiB live, 90.4MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

18.0ms	(/.f64 (.f64 x x) (.f64 y y))
9.0ms	x
8.0ms	(/.f64 (.f64 z z) (.f64 t t))
8.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Results

Accuracy	Segments	Branch
79.2%	2	`x`
82.4%	2	`(/.f64 (.f64 z z) (.f64 t t))`
63.7%	3	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
83.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 46 to 29 computations (37% saved)

regimes32.0ms (0.3%)

Memory

-20.7MiB live, 17.9MiB allocated

Counts

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

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

Calls

1 calls:

30.0ms

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

Results

Accuracy	Segments	Branch
83.4%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

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

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

2 calls:

7.0ms	t
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
78.1%	2	`t`
83.4%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes60.0ms (0.5%)

Memory

-23.9MiB live, 59.5MiB allocated

Counts

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

Outputs
#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 z (/.f64 (/.f64 z t) t)))

Calls

7 calls:

19.0ms	(/.f64 (.f64 x x) (.f64 y y))
19.0ms	(*.f64 x x)
5.0ms	z
4.0ms	y
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
72.1%	2	`y`
80.5%	2	`(/.f64 (.f64 z z) (.f64 t t))`
75.5%	2	`(*.f64 x x)`
76.5%	2	`(*.f64 t t)`
74.8%	2	`z`
74.8%	2	`(*.f64 z z)`
80.2%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes4.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
82.0%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes36.0ms (0.3%)

Memory

-3.7MiB live, 34.5MiB allocated

Counts

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

5 calls:

22.0ms	(/.f64 (.f64 x x) (.f64 y y))
4.0ms	t
3.0ms	x
3.0ms	(*.f64 y y)
3.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
71.9%	2	`t`
68.8%	2	`x`
72.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`
67.9%	2	`(*.f64 y y)`
78.9%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes17.0ms (0.1%)

Memory

2.7MiB live, 40.8MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

4.0ms	(*.f64 x x)
3.0ms	z
3.0ms	(*.f64 z z)
3.0ms	(*.f64 t t)
3.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
66.6%	2	`(*.f64 z z)`
66.6%	2	`z`
67.7%	2	`(*.f64 x x)`
68.6%	2	`(*.f64 t t)`
75.1%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

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

Outputs

#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))))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
75.1%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes17.0ms (0.1%)

Memory

5.8MiB live, 42.4MiB 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:

5.0ms	t
1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
54.1%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
54.1%	1	`z`
54.1%	1	`(*.f64 z z)`
54.1%	1	`(*.f64 x x)`
54.1%	1	`(*.f64 y y)`
54.1%	1	`(*.f64 t t)`
54.1%	1	`x`
54.1%	1	`t`
54.1%	1	`y`
54.1%	1	`(/.f64 (.f64 x x) (.f64 y y))`
54.1%	1	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 89 to 61 computations (31.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9576885838739686e+218	1.6120965169678967e+219

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4094381166111845e+283	+inf

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4094381166111845e+283	+inf

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9576885838739686e+218	1.6120965169678967e+219

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	+inf	NaN

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	1.4094381166111845e+283	+inf
0.0ms	0.0	1.56574e-319

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4094381166111845e+283	+inf
0.0ms	9.191598201416675e-306	8.425124241861055e-301

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	1.2282368135742555e+274	1.4094381166111845e+283
0.0ms	2.909382672964955e-274	5.682373682754474e-250

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3883828408685.4385	21497950958169.84

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3883828408685.4385	21497950958169.84

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	3883828408685.4385	21497950958169.84

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.599056541692118e+104	3.1515650586203604e+157

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch4.0ms (0%)

Memory

-42.8MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.599056541692118e+104	3.1515650586203604e+157

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	+inf	NaN
0.0ms	8.599056541692118e+104	3.1515650586203604e+157

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	+inf	NaN
0.0ms	8.599056541692118e+104	3.1515650586203604e+157

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.599056541692118e+104	3.1515650586203604e+157

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify12.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1043
1	116	1043

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t)) (+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (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 (.f64 z z) t) t)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (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)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 z (/.f64 (/.f64 z t) t) (/.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (fma.f64 z (/.f64 (/.f64 z t) t) (/.f64 (.f64 x x) (.f64 y y))) #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 7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 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 x y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 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 x y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 binary64)) #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 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 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 (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 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 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #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 z (/.f64 (/.f64 z t) t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x 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 (/.f64 x y) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 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 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 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 #s(literal 1 binary64) (*.f64 y y)) x)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 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 x (.f64 y y))))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

Outputs
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t)) (+.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (/.f64 (.f64 z z) t) t)) (+.f64 (.f64 x (/.f64 x (.f64 y y))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (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 (.f64 z z) t) t)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (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)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 z (/.f64 z (*.f64 t t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 z (/.f64 (/.f64 z t) t) (/.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (fma.f64 z (/.f64 (/.f64 z t) t) (/.f64 (.f64 x x) (.f64 y y))) #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 7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 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 x y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 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 x y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 binary64)) #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 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 binary64)) #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 (/.f64 x y) (.f64 x (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 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 (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 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 (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 5000000000000 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 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #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 z (/.f64 (/.f64 z t) t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x 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 (/.f64 x y) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 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 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 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 #s(literal 1 binary64) (*.f64 y y)) x)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 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 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 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 x (.f64 y y))))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 x (/.f64 x (.f64 y y))))

soundness1.8s (15.4%)

Memory

10.7MiB live, 1 196.6MiB allocated

Rules

18 042×	`lower-fma.f64`
18 042×	`lower-fma.f32`
9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
9 106×	`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	40	201
0	62	163
1	254	145
2	2609	145
0	8741	145
0	11	38
0	18	38
1	69	30
2	813	30
0	8377	30
0	34	4716
1	65	4716
2	195	4716
3	831	4716
4	2889	4716
5	4006	4716
6	6328	4716
7	7816	4716
0	8120	4536
0	32	168
0	44	144
1	147	126
2	1740	126
0	8487	126
0	33	157
0	53	155
1	223	119
2	2478	119
0	8188	119

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

Compiler

Compiled 2 047 to 757 computations (63% saved)

preprocess100.0ms (0.9%)

Memory

13.7MiB live, 207.9MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 1 704 to 382 computations (77.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	224
0	53	222
1	90	215
2	134	215
3	201	215
4	252	215
5	265	215
6	267	215
7	271	215
8	278	215
9	282	215
0	282	215

Iter	Nodes	Cost
0	40	234
0	62	220
1	94	218
2	125	218
3	187	218
4	214	218
5	216	218
6	218	218
7	224	218
8	233	218
9	238	218
0	238	213

Iter	Nodes	Cost
0	33	224
0	53	222
1	90	215
2	134	215
3	201	215
4	252	215
5	265	215
6	267	215
7	271	215
8	278	215
9	282	215
0	282	215

Iter	Nodes	Cost
0	40	234
0	62	220
1	94	218
2	125	218
3	187	218
4	214	218
5	216	218
6	218	218
7	224	218
8	233	218
9	238	218
0	238	213

start0.0ms (0%)

analyze141.0ms (1.2%)

sample1.6s (13.8%)

explain126.0ms (1.1%)

preprocess268.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize51.0ms (0.4%)

series27.0ms (0.2%)

simplify221.0ms (1.9%)

rewrite281.0ms (2.4%)

eval84.0ms (0.7%)

prune96.0ms (0.8%)

simplify16.0ms (0.1%)

localize97.0ms (0.8%)

series27.0ms (0.2%)

simplify413.0ms (3.6%)

rewrite372.0ms (3.2%)

eval567.0ms (4.9%)

prune367.0ms (3.2%)

simplify15.0ms (0.1%)

localize139.0ms (1.2%)

series29.0ms (0.2%)

simplify315.0ms (2.7%)

rewrite540.0ms (4.7%)

eval495.0ms (4.3%)

prune346.0ms (3%)

simplify44.0ms (0.4%)

localize77.0ms (0.7%)

series18.0ms (0.2%)

simplify654.0ms (5.7%)

rewrite336.0ms (2.9%)

eval236.0ms (2%)

prune435.0ms (3.8%)

regimes409.0ms (3.5%)

regimes49.0ms (0.4%)

regimes92.0ms (0.8%)

regimes116.0ms (1%)

regimes104.0ms (0.9%)

regimes110.0ms (1%)

regimes11.0ms (0.1%)

regimes88.0ms (0.8%)

regimes45.0ms (0.4%)

regimes32.0ms (0.3%)

regimes14.0ms (0.1%)

regimes60.0ms (0.5%)

regimes4.0ms (0%)

regimes36.0ms (0.3%)

regimes17.0ms (0.1%)

regimes2.0ms (0%)

regimes17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.8s (15.4%)

preprocess100.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	224
0	53	222
1	90	215
2	134	215
3	201	215
4	252	215
5	265	215
6	267	215
7	271	215
8	278	215
9	282	215
0	282	215

Iter	Nodes	Cost
0	40	234
0	62	220
1	94	218
2	125	218
3	187	218
4	214	218
5	216	218
6	218	218
7	224	218
8	233	218
9	238	218
0	238	213