Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
100%	50%	0%	0.1%	0%	50%	0%	2

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.1s (12.3%)

Memory

16.4MiB live, 1 611.9MiB allocated

Samples

626.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-mult: 143.0ms (32.1% of total)

ival-div: 139.0ms (31.2% of total)

ival-sub: 73.0ms (16.4% of total)

ival-sqrt: 69.0ms (15.5% of total)

exact: 11.0ms (2.5% of total)

ival-true: 6.0ms (1.3% of total)

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

Bogosity

explain226.0ms (2.6%)

Memory

-2.9MiB live, 197.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 #s(literal 3 binary64) (sqrt.f64 x))`
-	-	`(sqrt.f64 x)`
-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 9 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))`
-	-	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
-	-	`y`
-	-	`(*.f64 x #s(literal 9 binary64))`
-	-	`(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

57.0ms

512×

valid

Compiler

Compiled 112 to 40 computations (64.3% saved)

Precisions

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

ival-div: 7.0ms (31.4% of total)

ival-mult: 6.0ms (26.9% of total)

ival-sub: 4.0ms (17.9% of total)

ival-sqrt: 4.0ms (17.9% of total)

exact: 1.0ms (4.5% of total)

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

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

preprocess149.0ms (1.7%)

Memory

10.7MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Rules

736×	`lower-fma.f64`
736×	`lower-fma.f32`
560×	`times-frac`
400×	`lower-*.f32`
396×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	80	64
2	237	62
3	650	62
4	1488	62
5	2867	62
6	3479	62
7	3590	62
8	3622	62
9	3626	62
10	3626	62
11	3630	62
0	12	14
0	19	14
1	33	12
2	71	12
3	147	12
4	270	12
5	507	12
6	1005	12
7	1271	12
8	1362	12
9	1376	12
10	1379	12
0	1379	11

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Outputs

(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify53.0ms (0.6%)

Memory

1.0MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Rules

736×	`lower-fma.f64`
736×	`lower-fma.f32`
400×	`lower-*.f32`
396×	`lower-*.f64`
186×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	19	46
1	33	40
2	71	40
3	147	40
4	270	40
5	507	40
6	1005	40
7	1271	40
8	1362	40
9	1376	40
10	1379	40
0	1379	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

localize62.0ms (0.7%)

Memory

2.3MiB live, 41.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.22265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.2734375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

19.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 3.0ms (27% of total)

ival-mult: 3.0ms (27% of total)

ival-sub: 2.0ms (18% of total)

ival-sqrt: 2.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

6 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms	x	@	0	(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms	x	@	-inf	(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms	x	@	-inf	(* 3 (sqrt x))
0.0ms	y	@	0	(/ y (* 3 (sqrt x)))

simplify170.0ms (1.9%)

Memory

1.1MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 662×	`lower-fma.f64`
7 662×	`lower-fma.f32`
2 338×	`lower-*.f64`
2 338×	`lower-*.f32`
1 352×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))

rewrite264.0ms (3%)

Memory

-2.2MiB live, 439.2MiB allocated

Rules

8 268×	`lower-fma.f64`
8 268×	`lower-fma.f32`
5 066×	`lower-*.f32`
5 062×	`lower-*.f64`
4 670×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	19	39
1	74	33
2	789	33
0	8366	32

Stop Event

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

Counts

6 → 428

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))

Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) #s(literal 1/3 binary64)) (sqrt.f64 x))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) #s(literal 1/3 binary64)) (sqrt.f64 x)))) (.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
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(.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(.f64 (sqrt.f64 x) (.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -9 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) #s(literal -3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 #s(literal -9 binary64) (neg.f64 x))
(*.f64 #s(literal -9 binary64) (/.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -9 binary64))
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (.f64 y #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 y #s(literal -1/3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))

eval63.0ms (0.7%)

Memory: -17.0MiB live, 142.2MiB allocated
Compiler: Compiled 16 283 to 1 297 computations (92% saved)

prune105.0ms (1.2%)

Memory

20.7MiB live, 227.1MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	510	14	524
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	510	15	525

Accuracy

100.0%

Counts

525 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
▶	99.7%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	78.0%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.8%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))))
✓	99.8%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	64.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
	94.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)))
▶	65.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))

Compiler

Compiled 486 to 314 computations (35.4% saved)

simplify164.0ms (1.9%)

Memory

-34.3MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	384	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))

Rules

2 016×	`lower-fma.f32`
2 012×	`lower-fma.f64`
1 184×	`lower-*.f32`
1 174×	`lower-*.f64`
488×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	212
0	60	211
1	101	189
2	165	189
3	273	184
4	414	184
5	681	184
6	1367	184
7	1931	184
8	2152	184
9	2385	184
10	3062	184
11	3412	184
12	3502	184
13	3528	184
14	3530	184
15	3530	184
16	3584	184
17	3704	184
18	3706	184
19	3706	184
0	3706	184

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 binary64)

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 9 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 binary64)

localize171.0ms (1.9%)

Memory

13.8MiB live, 252.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy	0.19140625	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.21484375	(/.f64 y (sqrt.f64 x))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.07421875	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.32421875	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	0.36328125	(/.f64 #s(literal -1/9 binary64) x)
accuracy	0.15625	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
accuracy	0.33203125	(*.f64 y #s(literal -1/3 binary64))
accuracy	3.658285728040465	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
accuracy	22.416499024849976	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
accuracy	0.36328125	(/.f64 #s(literal -1/9 binary64) x)
accuracy	21.829957390816222	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.22265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.25	(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
accuracy	0.2734375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

133.0ms

256×

valid

Compiler

Compiled 201 to 33 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 56.0ms (49.2% of total)

ival-div: 39.0ms (34.2% of total)

const: 7.0ms (6.1% of total)

ival-sub: 5.0ms (4.4% of total)

ival-add: 4.0ms (3.5% of total)

ival-sqrt: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

17.3MiB live, 55.3MiB allocated

Counts

21 → 372

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (patch #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (patch (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (patch (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -1/3 binary64)) (patch (.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* y -1/3)
2.0ms	x	@	0	(/ -1/9 x)
1.0ms	x	@	-inf	(/ (+ (* (sqrt x) (* y -1/3)) -1/9) x)
1.0ms	x	@	-inf	(/ -1/3 (sqrt x))
1.0ms	x	@	0	(/ (+ (* (sqrt x) (* y -1/3)) -1/9) x)

simplify217.0ms (2.5%)

Memory

-25.9MiB live, 327.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 708×	`lower-fma.f64`
6 708×	`lower-fma.f32`
3 746×	`lower-*.f64`
3 746×	`lower-*.f32`
2 268×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	2964
1	269	2955
2	804	2943
3	2094	2943
4	5249	2943
5	7776	2943
0	8668	2800

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
-1/9
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
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(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

rewrite422.0ms (4.8%)

Memory

-7.3MiB live, 429.5MiB allocated

Rules

12 300×	`lower-fma.f32`
12 296×	`lower-fma.f64`
4 950×	`lower-/.f32`
4 936×	`lower-/.f64`
3 574×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	171
0	60	168
1	254	143
2	2066	143
0	8515	143

Stop Event

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

Counts

21 → 1 117

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 y #s(literal -1/3 binary64))
(/.f64 y (sqrt.f64 x))

Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -9 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 9 binary64) x)
(.f64 #s(literal 9 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
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(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(neg.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 y) #s(literal 1/3 binary64))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (neg.f64 (.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(.f64 (.f64 (neg.f64 y) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64))))
(/.f64 y (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))

eval317.0ms (3.6%)

Memory: -7.5MiB live, 293.1MiB allocated
Compiler: Compiled 39 823 to 1 762 computations (95.6% saved)

prune252.0ms (2.9%)

Memory

-9.7MiB live, 281.7MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 645	19	1 664
Fresh	8	1	9
Picked	3	2	5
Done	1	0	1
Total	1 657	22	1 679

Accuracy

100.0%

Counts

1 679 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶	68.4%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	68.5%	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	94.4%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
	34.9%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
▶	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
	65.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
	43.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (.f64 x (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
	51.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
	29.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
	31.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	65.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
▶	34.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 488 to 334 computations (31.6% saved)

simplify384.0ms (4.4%)

Memory

26.1MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
cost-diff	0	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	384	(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))

Rules

2 800×	`lower-fma.f32`
2 794×	`lower-fma.f64`
1 488×	`lower-*.f32`
1 484×	`lower-*.f64`
1 414×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	205
0	60	203
1	105	189
2	191	189
3	353	189
4	596	189
5	1018	189
6	1997	189
7	2805	189
8	3660	189
9	4121	189
10	4254	189
11	4290	189
12	4302	189
13	4384	189
14	4628	189
15	5244	189
16	5642	189
17	5722	189
18	5736	189
19	5738	189
20	5738	189
21	5738	189
22	5738	189
23	5754	189
24	5818	189
25	6292	189
26	6296	189
27	6300	189
0	6300	183

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
#s(literal 1/3 binary64)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 1/9 binary64)

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(literal 1/3 binary64)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 1/9 binary64)

localize156.0ms (1.8%)

Memory

21.1MiB live, 180.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
accuracy	0.171875	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
accuracy	0.25	(*.f64 (sqrt.f64 x) y)
accuracy	3.658285728040465	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.07421875	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
accuracy	0.32421875	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	30.486866446039855	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.1484375	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
accuracy	21.829957390816222	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
accuracy	21.829957390816222	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
accuracy	30.486866446039855	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
accuracy	0.203125	(/.f64 (sqrt.f64 x) y)
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.49436326229536454	(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))

Samples

116.0ms

256×

valid

Compiler

Compiled 179 to 39 computations (78.2% saved)

Precisions

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

ival-add: 28.0ms (28.4% of total)

const: 28.0ms (28.4% of total)

ival-mult: 19.0ms (19.3% of total)

ival-div: 15.0ms (15.2% of total)

ival-sub: 6.0ms (6.1% of total)

ival-sqrt: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

-11.9MiB live, 31.4MiB allocated

Counts

18 → 348

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (patch #s(approx (- (- 1 (/ 1 ( (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(+ (* (/ -1/3 (sqrt x)) y) (+ 1 (/ -1/9 x)))
3.0ms	y	@	inf	(- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
1.0ms	x	@	-inf	(- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
1.0ms	x	@	-inf	(/ (sqrt x) y)
0.0ms	x	@	0	(/ (sqrt x) y)

simplify232.0ms (2.6%)

Memory

-16.5MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 678×	`lower-fma.f64`
6 678×	`lower-fma.f32`
3 526×	`lower-*.f64`
3 526×	`lower-*.f32`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	3006
1	278	2958
2	804	2940
3	2435	2940
4	6119	2940
0	8359	2776

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
1/9
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* 1/3 (* (sqrt x) y))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* 1/3 (* (sqrt x) y))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)

Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64)) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) y))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) y))
(.f64 #s(literal 1/3 binary64) (.f64 y (sqrt.f64 x)))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal 1/3 binary64) y)) #s(literal 1/9 binary64))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal 1/3 binary64) y)) #s(literal 1/9 binary64))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal 1/3 binary64) y)) #s(literal 1/9 binary64))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (.f64 y (sqrt.f64 x)))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal 1/3 binary64) y)) #s(literal 1/9 binary64))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal 1/3 binary64) y)) #s(literal 1/9 binary64))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal 1/3 binary64) y)) #s(literal 1/9 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) y))
(.f64 #s(literal 1/3 binary64) (.f64 y (sqrt.f64 x)))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) y))
(.f64 #s(literal 1/3 binary64) (.f64 y (sqrt.f64 x)))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))

rewrite284.0ms (3.2%)

Memory

24.9MiB live, 453.6MiB allocated

Rules

9 542×	`lower-fma.f32`
9 536×	`lower-fma.f64`
3 936×	`lower-/.f32`
3 924×	`lower-/.f64`
3 414×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	173
0	60	171
1	282	157
2	2361	157
0	8317	153

Stop Event

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

Counts

18 → 538

Calls

Call 1

Inputs
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(/.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))))
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
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(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) (neg.f64 x)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64)))))
(.f64 (pow.f64 (/.f64 x (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y)))) (/.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64)))))
(.f64 (fma.f64 x (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sqrt.f64 x) (neg.f64 y)))
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)))
(/.f64 (sqrt.f64 x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))

eval118.0ms (1.3%)

Memory: 34.0MiB live, 254.5MiB allocated
Compiler: Compiled 19 183 to 1 542 computations (92% saved)

prune206.0ms (2.3%)

Memory

-27.8MiB live, 371.8MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	944	5	949
Fresh	1	14	15
Picked	1	4	5
Done	0	2	2
Total	946	25	971

Accuracy

100.0%

Counts

971 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.4%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
▶	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	68.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓	68.4%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
▶	68.5%	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	68.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	65.7%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
✓	94.4%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
	34.9%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
▶	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
✓	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
	65.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
	65.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/9 binary64) #s(literal 1 binary64)))
✓	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
	51.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
	29.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
▶	31.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	65.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	34.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 484 to 332 computations (31.4% saved)

simplify143.0ms (1.6%)

Memory

19.7MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
cost-diff	384	(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff	0	#s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))

Rules

1 568×	`lower-fma.f32`
1 564×	`lower-fma.f64`
912×	`lower-*.f32`
908×	`lower-*.f64`
492×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	208
0	62	202
1	109	186
2	200	184
3	406	184
4	659	184
5	1264	184
6	1895	184
7	2243	184
8	2728	184
9	3026	184
10	3108	184
11	3132	184
12	3153	184
13	3157	184
14	3166	184
15	3206	184
16	3222	184
0	3222	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
#s(literal 1/3 binary64)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y

Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(literal 1/3 binary64)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y

localize115.0ms (1.3%)

Memory

-9.4MiB live, 186.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
accuracy	0.203125	(/.f64 (sqrt.f64 x) y)
accuracy	0.49436326229536454	(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
accuracy	30.48686644603983	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.22265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2734375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	30.48686644603983	#s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.15625	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
accuracy	41.66609576158667	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
accuracy	3.658285728040465	(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
accuracy	22.416499024849976	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
accuracy	31.001025303661013	#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
accuracy	0.07421875	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.2734375	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
accuracy	0.36328125	(/.f64 #s(literal -1/9 binary64) x)

Samples

79.0ms

256×

valid

Compiler

Compiled 180 to 40 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 20.0ms (34.1% of total)

ival-mult: 15.0ms (25.6% of total)

const: 12.0ms (20.4% of total)

ival-sub: 5.0ms (8.5% of total)

ival-add: 4.0ms (6.8% of total)

ival-sqrt: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

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

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

series13.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

19 → 348

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) (patch (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 #s(approx (- 1 (/ 1 ( (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* (sqrt x) -3)
0.0ms	x	@	0	(* (sqrt x) -3)
0.0ms	x	@	inf	(* (sqrt x) -3)
0.0ms	x	@	inf	(/ 1 (* (sqrt x) -3))
0.0ms	x	@	inf	(+ (* (/ 1 x) 1/9) 1)

simplify177.0ms (2%)

Memory

-6.9MiB live, 281.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 176×	`lower-fma.f64`
7 176×	`lower-fma.f32`
3 740×	`lower-*.f64`
3 740×	`lower-*.f32`
1 902×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	2895
1	285	2847
2	853	2835
3	2487	2835
4	6364	2835
0	8218	2692

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
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(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
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(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
-1/9
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(/ 1/9 x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)

Outputs
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) x) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) x) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) x) #s(literal -1/9 binary64)) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)

rewrite368.0ms (4.2%)

Memory

-26.9MiB live, 576.9MiB allocated

Rules

13 028×	`lower-fma.f32`
13 024×	`lower-fma.f64`
4 834×	`lower-/.f32`
4 820×	`lower-/.f64`
3 336×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	181
0	62	175
1	276	157
2	2375	157
0	8857	152

Stop Event

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

Counts

19 → 557

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 x) y)
(/.f64 #s(literal -1/9 binary64) x)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x) (-.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 x)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 y #s(literal 1/3 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (sqrt.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 y #s(literal 1/3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(.f64 (pow.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/3 binary64))

eval188.0ms (2.1%)

Memory: 19.0MiB live, 248.3MiB allocated
Compiler: Compiled 17 180 to 1 338 computations (92.2% saved)

prune182.0ms (2.1%)

Memory

-12.0MiB live, 314.0MiB allocated

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	951	6	957
Fresh	2	12	14
Picked	0	5	5
Done	1	5	6
Total	954	28	982

Accuracy

100.0%

Counts

982 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.4%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
✓	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	68.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓	68.4%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
	68.4%	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	68.4%	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	68.5%	(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	68.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	65.7%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
✓	94.4%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
	34.9%	#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
✓	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
	65.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
	65.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/9 binary64) #s(literal 1 binary64)))
✓	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
	51.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
	29.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
✓	31.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
	31.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
	34.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
	65.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	65.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	59.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
	31.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
	3.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
✓	34.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 792 to 319 computations (59.7% saved)

regimes46.0ms (0.5%)

Memory

1.0MiB live, 79.7MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/9 binary64) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (.f64 x (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

17.0ms	y
14.0ms	x
13.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes34.0ms (0.4%)

Memory

28.6MiB live, 67.2MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Calls

3 calls:

11.0ms	y
11.0ms	x
10.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes61.0ms (0.7%)

Memory

-27.3MiB live, 54.9MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))

Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Calls

3 calls:

30.0ms	x
19.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
10.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes31.0ms (0.3%)

Memory

24.7MiB live, 63.2MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

10.0ms	y
9.0ms	x
9.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
98.2%	2	`y`
98.3%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

-14.9MiB live, 23.9MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.3%)

Memory

11.7MiB live, 49.5MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))

Outputs

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

8.0ms	x
7.0ms	y
7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
95.6%	3	`y`
83.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
87.0%	4	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))

Outputs

(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))

(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-27.9MiB live, 14.0MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Outputs

(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))

(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

1.3MiB live, 38.2MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))

Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))

Calls

3 calls:

7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
65.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
65.8%	1	`x`
65.8%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes18.0ms (0.2%)

Memory

-7.8MiB live, 29.0MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))

Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
65.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
65.8%	1	`y`
65.8%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))

Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
65.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
65.8%	1	`y`
65.8%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes293.0ms (3.3%)

Memory

-132.6MiB live, 26.5MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))

Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Calls

3 calls:

286.0ms	x
3.0ms	y
3.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
65.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
65.7%	1	`y`
65.7%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
65.2%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
40.2%	4	`y`
64.8%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-33.3MiB live, 12.0MiB allocated

Accuracy

Total -20.5b remaining (-49.2%)

Threshold costs -20.5b (-49.2%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (/ 1 x) 1/9) 1) (/.f64 #s(literal 1/9 binary64) x)))

Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Calls

3 calls:

7.0ms	y
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
2.0ms	x

Results

Accuracy	Segments	Branch
34.8%	1	`y`
34.8%	1	`x`
34.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch18.0ms (0.2%)

Memory

11.2MiB live, 49.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.391202182040887e+49	3.3193361031498704e+56

Samples

9.0ms

144×

valid

Compiler

Compiled 262 to 197 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.1% of total)

ival-mult: 2.0ms (32.1% of total)

ival-sub: 1.0ms (16% of total)

ival-sqrt: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

-7.1MiB live, 30.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.5141766997140464e-10	0.2461013551776015

Samples

10.0ms

144×

valid

Compiler

Compiled 244 to 179 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.7% of total)

ival-mult: 2.0ms (31.7% of total)

ival-sub: 1.0ms (15.8% of total)

ival-sqrt: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

26.1MiB live, 64.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.608096019812296e+69	1.5532070468427625e+71
11.0ms	-9.783263199287677e+54	-1.6210000906827473e+53

Samples

16.0ms

224×

valid

Compiler

Compiled 341 to 255 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (37.4% of total)

ival-div: 3.0ms (28% of total)

ival-sub: 2.0ms (18.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.608096019812296e+69	1.5532070468427625e+71
1.0ms	-9.783263199287677e+54	-1.6210000906827473e+53

Compiler

Compiled 327 to 241 computations (26.3% saved)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.608096019812296e+69	1.5532070468427625e+71
1.0ms	-9.783263199287677e+54	-1.6210000906827473e+53

Compiler

Compiled 327 to 241 computations (26.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-733805446.7531885	0.9095210441664318

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify17.0ms (0.2%)

Memory

-22.1MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`neg-mul-1_binary64`
42×	`*-commutative_binary64`
42×	`unsub-neg_binary64`
34×	`+-commutative_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	475
1	97	475
2	113	475
3	137	475
4	157	475
5	199	475
6	261	475
7	267	475

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -1419999999999999947838451252476203793653800058589544448 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4699999999999999957773865776715190503357602937761357286250807184850944 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -1419999999999999947838451252476203793653800058589544448 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4699999999999999957773865776715190503357602937761357286250807184850944 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1419999999999999947838451252476203793653800058589544448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4699999999999999957773865776715190503357602937761357286250807184850944 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -500000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -1419999999999999947838451252476203793653800058589544448 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4699999999999999957773865776715190503357602937761357286250807184850944 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -1419999999999999947838451252476203793653800058589544448 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4699999999999999957773865776715190503357602937761357286250807184850944 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1419999999999999947838451252476203793653800058589544448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4699999999999999957773865776715190503357602937761357286250807184850944 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -500000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -500000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

soundness1.7s (19.3%)

Memory

40.4MiB live, 742.0MiB allocated

Rules

12 300×	`lower-fma.f32`
12 296×	`lower-fma.f64`
9 542×	`lower-fma.f32`
9 536×	`lower-fma.f64`
8 268×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638
0	12	39
0	19	39
1	74	33
2	789	33
0	8366	32
0	96	2964
1	269	2955
2	804	2943
3	2094	2943
4	5249	2943
5	7776	2943
0	8668	2800
0	42	173
0	60	171
1	282	157
2	2361	157
0	8317	153
0	37	171
0	60	168
1	254	143
2	2066	143
0	8515	143

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

Compiler

Compiled 630 to 316 computations (49.8% saved)

preprocess84.0ms (1%)

Memory: -5.6MiB live, 194.9MiB allocated
Compiler: Compiled 550 to 162 computations (70.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (12.3%)

explain226.0ms (2.6%)

preprocess149.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.6%)

localize62.0ms (0.7%)

series11.0ms (0.1%)

simplify170.0ms (1.9%)

rewrite264.0ms (3%)

eval63.0ms (0.7%)

prune105.0ms (1.2%)

simplify164.0ms (1.9%)

localize171.0ms (1.9%)

series24.0ms (0.3%)

simplify217.0ms (2.5%)

rewrite422.0ms (4.8%)

eval317.0ms (3.6%)

prune252.0ms (2.9%)

simplify384.0ms (4.4%)

localize156.0ms (1.8%)

series36.0ms (0.4%)

simplify232.0ms (2.6%)

rewrite284.0ms (3.2%)

eval118.0ms (1.3%)

prune206.0ms (2.3%)

simplify143.0ms (1.6%)

localize115.0ms (1.3%)

series13.0ms (0.2%)

simplify177.0ms (2%)

rewrite368.0ms (4.2%)

eval188.0ms (2.1%)

prune182.0ms (2.1%)

regimes46.0ms (0.5%)

regimes34.0ms (0.4%)

regimes61.0ms (0.7%)

regimes31.0ms (0.3%)

regimes10.0ms (0.1%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes293.0ms (3.3%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.2%)

soundness1.7s (19.3%)

preprocess84.0ms (1%)

end0.0ms (0%)

Profiling