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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample1000.0ms (15.2%)

Memory

11.4MiB live, 2 035.4MiB allocated

Samples

670.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 457.0ms

ival-mult: 146.0ms (31.9% of total)

ival-div: 124.0ms (27.1% of total)

ival-sub: 96.0ms (21% of total)

ival-sqrt: 69.0ms (15.1% of total)

exact: 12.0ms (2.6% of total)

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

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain157.0ms (2.4%)

Memory

-11.4MiB live, 225.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))`
0	-	-	`(*.f64 #s(literal 3 binary64) (sqrt.f64 x))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))`
0	-	-	`(-.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))))`
0	-	-	`y`
0	-	-	`(*.f64 x #s(literal 9 binary64))`
0	-	-	`(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))`
0	-	-	`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

67.0ms

512×

valid

Compiler

Compiled 156 to 52 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 12.0ms (41.8% of total)

ival-mult: 7.0ms (24.4% of total)

ival-sub: 5.0ms (17.4% of total)

ival-sqrt: 4.0ms (13.9% of total)

exact: 1.0ms (3.5% of total)

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

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

preprocess160.0ms (2.4%)

Memory

16.8MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

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))))

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.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 14 to 12 computations (14.3% saved)

simplify39.0ms (0.6%)

Memory

-3.5MiB live, 36.1MiB 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)))

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

localize40.0ms (0.6%)

Memory

5.8MiB live, 44.7MiB 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	0.265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2890625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.3894735417694153	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (29.6% of total)

ival-sub: 4.0ms (29.6% of total)

ival-mult: 3.0ms (22.2% of total)

ival-sqrt: 2.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.6%)

Memory

-17.5MiB live, 23.4MiB 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 (* 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 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 (-.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 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 (-.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 (* 1/3 (* (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 (/ 1/9 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 (/ (+ 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 (/ -1/9 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 (* 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 (* 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 (* 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 (/ 1/9 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 (* 1/3 (* (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 (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 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 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 (* 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 (/ 1/9 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 (* 1/3 (* (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 (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 -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) (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 -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

6 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms	x	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms	y	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	y	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	x	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify144.0ms (2.2%)

Memory

26.1MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1980	659
5	3976	659
6	5206	659
7	6399	659
8	7529	659
9	7918	659
0	8008	638

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite227.0ms (3.4%)

Memory

15.8MiB live, 173.8MiB allocated

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
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eval110.0ms (1.7%)

Memory: -9.5MiB live, 72.4MiB allocated
Compiler: Compiled 13 919 to 1 303 computations (90.6% saved)

prune31.0ms (0.5%)

Memory

0.3MiB live, 37.5MiB 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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 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 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
	68.2%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	60.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
	91.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
▶	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	41.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 362 to 318 computations (12.2% saved)

simplify231.0ms (3.5%)

Memory

-9.4MiB live, 28.1MiB 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 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
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 y (sqrt.f64 x))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) 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 (*.f64 (sqrt.f64 x) 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 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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	213
0	53	220
1	92	194
2	190	189
3	367	189
4	701	189
5	1167	189
6	1971	189
7	2360	189
8	2535	189
9	3091	189
10	4015	189
11	4591	189
12	4997	189
13	5061	189
14	5089	189
15	5099	189
16	5269	189
17	5317	189
18	5317	189
19	5435	189
20	6048	189
21	6052	189
22	6056	189
0	6056	189

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

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

localize105.0ms (1.6%)

Memory

27.3MiB live, 63.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy	0.2890625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.3894735417694153	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.6282004829871232	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy	0	(sqrt.f64 x)
accuracy	0.15234375	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy	0.1796875	(/.f64 y (sqrt.f64 x))
accuracy	0.34375	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0.17578125	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
accuracy	0.20703125	(*.f64 (sqrt.f64 x) y)
accuracy	5.503571846133751	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
accuracy	20.087763362750664	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) 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	0.34375	(/.f64 #s(literal 1/9 binary64) x)
accuracy	25.021940069203477	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
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	0.1796875	(/.f64 y (sqrt.f64 x))
accuracy	0.25	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.3894735417694153	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 387 to 59 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

const: 16.0ms (31.3% of total)

ival-div: 14.0ms (27.4% of total)

ival-mult: 10.0ms (19.6% of total)

ival-sub: 6.0ms (11.8% of total)

ival-add: 2.0ms (3.9% of total)

ival-sqrt: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (1.3%)

Memory

-40.2MiB live, 46.5MiB allocated

Counts

18 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (* (sqrt x) y) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (* (sqrt x) 3) (/ (* (sqrt x) 3) y))
4.0ms	x	@	-inf	((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (* (sqrt x) y) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (* (sqrt x) 3) (/ (* (sqrt x) 3) y))
3.0ms	x	@	0	((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (* (sqrt x) y) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (* (sqrt x) 3) (/ (* (sqrt x) 3) y))
2.0ms	y	@	-inf	((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (* (sqrt x) y) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (* (sqrt x) 3) (/ (* (sqrt x) 3) y))
2.0ms	x	@	inf	((/ (/ y (sqrt x)) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (* (sqrt x) y) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (* (sqrt x) 3) (/ (* (sqrt x) 3) y))

simplify139.0ms (2.1%)

Memory

10.8MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	3022
1	282	2965
2	872	2953
3	2530	2953
4	6030	2953
0	8150	2810

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

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

rewrite272.0ms (4.1%)

Memory

-0.2MiB live, 235.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	53	158
1	236	135
2	2201	135
0	8313	135

Stop Event

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

Counts

18 → 878

Calls

Call 1

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

Outputs
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eval194.0ms (2.9%)

Memory: 3.0MiB live, 355.4MiB allocated
Compiler: Compiled 33 797 to 1 829 computations (94.6% saved)

prune42.0ms (0.6%)

Memory

14.0MiB live, 130.3MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 484	13	1 497
Fresh	4	5	9
Picked	4	1	5
Done	1	0	1
Total	1 493	19	1 512

Accuracy

100.0%

Counts

1 512 → 19

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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	68.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
	71.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
	99.6%	(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
	60.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
▶	91.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x))
	41.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	33.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* (sqrt x) y) -1/3) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
	29.7%	#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))
▶	60.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))))
	60.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
✓	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
▶	32.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 388 to 357 computations (8% saved)

simplify228.0ms (3.5%)

Memory

-9.5MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))
cost-diff	0	(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)))
cost-diff	0	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x))
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 9))) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
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) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	704	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	245
0	63	243
1	110	229
2	226	225
3	426	225
4	998	225
5	2380	225
6	4064	225
7	4572	225
8	4844	225
9	4893	225
10	4900	225
11	4908	225
12	5160	225
13	5687	225
14	5755	225
15	5879	225
16	5879	225
17	5879	225
18	5919	225
19	5924	225
0	5924	220

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.8%)

Memory

0.4MiB live, 196.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(*.f64 (sqrt.f64 x) y)
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))
accuracy	5.522755222347236	(/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))
accuracy	20.087763362750664	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))))
accuracy	0.00390625	(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)))
accuracy	0.16796875	(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))
accuracy	0.41796875	(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
accuracy	5.429353096133751	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x)
accuracy	0.00390625	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2890625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	32.567806089922776	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	25.021940069203477	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
accuracy	32.567806089922776	#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.23828125	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
accuracy	0.265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2890625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

84.0ms	248×	0	valid
4.0ms	7×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 394 to 70 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 18.0ms (26.9% of total)

const: 14.0ms (20.9% of total)

ival-assert: 11.0ms (16.4% of total)

ival-mult: 10.0ms (14.9% of total)

ival-sub: 8.0ms (12% of total)

ival-add: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

adjust: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

series34.0ms (0.5%)

Memory

21.3MiB live, 59.7MiB allocated

Counts

20 → 396

Calls

Call 1

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

Outputs
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) (taylor -inf x) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) (patch #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) (patch #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) (patch #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) (patch #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (/ 1 y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) (patch (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* (sqrt x) (/ 1 y))) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) (patch (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1/3 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* 3 (* (sqrt x) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) (patch (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x)) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* 3 (* (sqrt x) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) (patch (/.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) (taylor -inf x) (#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 (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #<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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) x) (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (+ (* (* (sqrt x) 1/3) y) 1/9) (/ 1 (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) 1/3) (* (sqrt x) y))
4.0ms	y	@	inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) x) (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (+ (* (* (sqrt x) 1/3) y) 1/9) (/ 1 (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) 1/3) (* (sqrt x) y))
4.0ms	x	@	-inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) x) (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (+ (* (* (sqrt x) 1/3) y) 1/9) (/ 1 (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) 1/3) (* (sqrt x) y))
3.0ms	x	@	0	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) x) (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (+ (* (* (sqrt x) 1/3) y) 1/9) (/ 1 (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) 1/3) (* (sqrt x) y))
2.0ms	y	@	0	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) x) (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (+ (* (* (sqrt x) 1/3) y) 1/9) (/ 1 (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) 1/3) (* (sqrt x) y))

simplify136.0ms (2.1%)

Memory

3.3MiB live, 202.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	3813
1	657	3734
2	1988	3689
3	5893	3685
0	8513	3439

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(- 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 (* 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 (* 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))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 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)))
(/ (- x 1/9) 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)))
(- x 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)
1/9
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(/ -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 (* 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)))
(* -9 x)
(+ (* -9 x) (* 27 (* (sqrt (pow x 3)) y)))
(+ (* -9 x) (* y (- (* -81 (* (pow x 2) y)) (* -27 (sqrt (pow x 3))))))
(+ (* -9 x) (* y (- (* y (- (* 243 (* (sqrt (pow x 5)) y)) (* 81 (pow x 2)))) (* -27 (sqrt (pow x 3))))))
-1/9
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -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))
(* 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))
(* 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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(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
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(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
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(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x)) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* 3 (* (sqrt x) (/ 1 y))))
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))

Outputs
(- 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 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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(* 1/3 (* (sqrt (/ 1 x)) y))
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(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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rewrite146.0ms (2.2%)

Memory

-16.5MiB live, 186.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	207
0	63	205
1	291	187
2	3024	187
0	8371	182

Stop Event

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

Counts

20 → 515

Calls

Call 1

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

Outputs
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eval119.0ms (1.8%)

Memory: 7.4MiB live, 238.6MiB allocated
Compiler: Compiled 18 422 to 2 111 computations (88.5% saved)

prune32.0ms (0.5%)

Memory

10.1MiB live, 93.7MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	985	9	994
Fresh	7	6	13
Picked	1	4	5
Done	0	1	1
Total	993	20	1 013

Accuracy

100.0%

Counts

1 013 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
▶	71.3%	(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
▶	68.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
▶	60.0%	#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
	41.2%	#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	49.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64)) x)) (.f64 x x)))
✓	91.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x))
	33.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
▶	29.7%	#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))
	41.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
	29.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (*.f64 #s(literal -9 binary64) x))))
✓	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	60.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
✓	32.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 366 to 334 computations (8.7% saved)

simplify150.0ms (2.3%)

Memory

-18.7MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	226
0	75	226
1	123	219
2	219	219
3	360	219
4	632	219
5	1196	219
6	2084	219
7	2530	219
8	3402	219
9	3878	219
10	3932	219
11	3943	219
12	3945	219
13	3953	219
14	3961	219
15	4005	219
16	4021	219
17	4021	219
0	4021	216

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (2.1%)

Memory

13.0MiB live, 255.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.1796875	(/.f64 y (sqrt.f64 x))
accuracy	0.34375	(/.f64 #s(literal -1/9 binary64) x)
accuracy	31.19522866595093	#s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))
accuracy	0.16796875	(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
accuracy	0.41796875	(*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
accuracy	5.503571846133751	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
accuracy	20.087763362750664	#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
accuracy	0	(neg.f64 y)
accuracy	0.05859375	(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
accuracy	0.424823779305326	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy	32.567806089922776	#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
accuracy	5.503571846133751	(/.f64 #s(approx (+ (* (* (sqrt x) y) -1/3) -1/9) #s(literal -1/9 binary64)) x)
accuracy	20.087763362750664	#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	32.73389809478694	#s(approx (+ (* (* (sqrt x) y) -1/3) -1/9) #s(literal -1/9 binary64))
accuracy	0.0859375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.15234375	(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy	0.24609375	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	0.34375	(/.f64 #s(literal 1/9 binary64) x)

Samples

107.0ms

256×

valid

Compiler

Compiled 326 to 75 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 34.0ms (40.1% of total)

const: 17.0ms (20.1% of total)

ival-mult: 16.0ms (18.9% of total)

ival-sub: 6.0ms (7.1% of total)

ival-add: 5.0ms (5.9% of total)

ival-sqrt: 4.0ms (4.7% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series28.0ms (0.4%)

Memory

-25.7MiB live, 51.7MiB allocated

Counts

21 → 396

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (* y (sqrt (/ 1 x))) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (+ (* (neg y) (/ 1/3 (sqrt x))) (- 1 (/ 1/9 x))) (neg y) (/ 1/3 (sqrt x)) (sqrt x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) -1/3) y) -1/9) x) (+ (* (* (sqrt x) -1/3) y) -1/9) (* (sqrt x) -1/3) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (- 1 (/ 1/9 x)) (/ 1/9 x) (- 1 (/ 1/9 x)) (/ -1/9 x))
3.0ms	x	@	-inf	((+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (* y (sqrt (/ 1 x))) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (+ (* (neg y) (/ 1/3 (sqrt x))) (- 1 (/ 1/9 x))) (neg y) (/ 1/3 (sqrt x)) (sqrt x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) -1/3) y) -1/9) x) (+ (* (* (sqrt x) -1/3) y) -1/9) (* (sqrt x) -1/3) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (- 1 (/ 1/9 x)) (/ 1/9 x) (- 1 (/ 1/9 x)) (/ -1/9 x))
2.0ms	x	@	0	((+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (* y (sqrt (/ 1 x))) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (+ (* (neg y) (/ 1/3 (sqrt x))) (- 1 (/ 1/9 x))) (neg y) (/ 1/3 (sqrt x)) (sqrt x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) -1/3) y) -1/9) x) (+ (* (* (sqrt x) -1/3) y) -1/9) (* (sqrt x) -1/3) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (- 1 (/ 1/9 x)) (/ 1/9 x) (- 1 (/ 1/9 x)) (/ -1/9 x))
2.0ms	x	@	inf	((+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (* y (sqrt (/ 1 x))) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (+ (* (neg y) (/ 1/3 (sqrt x))) (- 1 (/ 1/9 x))) (neg y) (/ 1/3 (sqrt x)) (sqrt x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) -1/3) y) -1/9) x) (+ (* (* (sqrt x) -1/3) y) -1/9) (* (sqrt x) -1/3) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (- 1 (/ 1/9 x)) (/ 1/9 x) (- 1 (/ 1/9 x)) (/ -1/9 x))
1.0ms	y	@	inf	((+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (* y (sqrt (/ 1 x))) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) y) -1/3) -1/9) x) (+ (* (* (sqrt x) y) -1/3) -1/9) (+ (* (neg y) (/ 1/3 (sqrt x))) (- 1 (/ 1/9 x))) (neg y) (/ 1/3 (sqrt x)) (sqrt x) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/ (+ (* (* (sqrt x) -1/3) y) -1/9) x) (+ (* (* (sqrt x) -1/3) y) -1/9) (* (sqrt x) -1/3) (+ (* -1/3 (/ y (sqrt x))) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (- 1 (/ 1/9 x)) (/ 1/9 x) (- 1 (/ 1/9 x)) (/ -1/9 x))

simplify149.0ms (2.3%)

Memory

30.0MiB live, 229.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	3281
1	263	3253
2	788	3225
3	2102	3225
4	5374	3225
5	7931	3225
0	8828	3044

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite159.0ms (2.4%)

Memory

16.6MiB live, 248.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	195
0	75	189
1	303	181
2	3007	181
0	8298	178

Stop Event

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

Counts

21 → 428

Calls

Call 1

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

Outputs
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eval121.0ms (1.8%)

Memory: -34.6MiB live, 290.4MiB allocated
Compiler: Compiled 13 847 to 1 456 computations (89.5% saved)

prune29.0ms (0.4%)

Memory

8.4MiB live, 93.4MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	866	4	870
Fresh	3	7	10
Picked	1	4	5
Done	1	4	5
Total	871	19	890

Accuracy

100.0%

Counts

890 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
✓	71.3%	(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
	71.3%	(fma.f64 (neg.f64 y) #s(approx (/ 1/3 (sqrt x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
	68.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
✓	68.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	60.0%	#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
	33.1%	#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* (sqrt x) -1/3) y) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
	41.2%	#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	49.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64)) x)) (.f64 x x)))
✓	91.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x))
✓	29.7%	#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))
	29.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (*.f64 #s(literal -9 binary64) x))))
✓	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	60.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
	29.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (neg.f64 #s(approx (+ ( (* (sqrt x) y) -1/3) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
✓	32.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 633 to 318 computations (49.8% saved)

regimes39.0ms (0.6%)

Memory

4.8MiB live, 82.8MiB allocated

Counts

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

Outputs
(-.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)))

Calls

3 calls:

13.0ms	x
12.0ms	(-.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))))
11.0ms	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 16 to 16 computations (0% saved)

regimes107.0ms (1.6%)

Memory

-13.4MiB live, 68.0MiB 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)))) (/.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) #s(approx (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (neg.f64 #s(approx (+ ( (* (sqrt x) y) -1/3) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #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)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* (sqrt x) y) -1/3) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* (sqrt x) -1/3) y) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
(fma.f64 (neg.f64 y) #s(approx (/ 1/3 (sqrt x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #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 #s(literal 1 binary64) #s(approx (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))))
(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64)) x)) (.f64 x 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))))

Calls

3 calls:

48.0ms	(-.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))))
47.0ms	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 16 to 16 computations (0% saved)

regimes30.0ms (0.5%)

Memory

18.7MiB live, 57.7MiB allocated

Counts

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

Outputs
(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) 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
99.6%	1	`x`
99.6%	1	`y`
99.6%	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 16 to 16 computations (0% saved)

regimes62.0ms (0.9%)

Memory

-15.0MiB live, 63.6MiB allocated

Counts

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

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

Calls

3 calls:

42.0ms	(-.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	x
9.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	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 16 to 16 computations (0% saved)

regimes28.0ms (0.4%)

Memory

11.6MiB live, 57.0MiB allocated

Counts

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

3 calls:

11.0ms	y
8.0ms	x
8.0ms	(-.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
99.6%	2	`x`
99.7%	3	`y`
98.8%	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 16 to 16 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-22.2MiB live, 16.9MiB allocated

Counts

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

Outputs

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

8.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Memory

0.8MiB live, 39.9MiB 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)))) (/.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) #s(approx (/ x (+ (* -1/3 (* (sqrt x) y)) -1/9)) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (neg.f64 #s(approx (+ ( (* (sqrt x) y) -1/3) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #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)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* (sqrt x) y) -1/3) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (- x (+ (* (* (sqrt x) 1/3) y) 1/9)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* (sqrt x) -1/3) y) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))

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 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))

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

Calls

3 calls:

7.0ms	y
5.0ms	x
5.0ms	(-.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
97.8%	3	`y`
85.1%	3	`(-.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))))`
79.8%	2	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

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

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

Calls

3 calls:

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))))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
60.8%	1	`x`
60.8%	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))))`
60.8%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes32.0ms (0.5%)

Memory

-23.9MiB live, 15.5MiB allocated

Counts

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

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:

27.0ms	x
3.0ms	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))))

Results

Accuracy	Segments	Branch
60.7%	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))))`
60.7%	1	`y`
60.7%	1	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

2 → 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)))) (/.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	x
2.0ms	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))))

Results

Accuracy	Segments	Branch
60.7%	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))))`
60.1%	2	`x`
35.9%	3	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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)))

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

Calls

3 calls:

1.0ms	(-.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))))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
32.5%	1	`y`
32.5%	1	`x`
32.5%	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 16 to 16 computations (0% saved)

bsearch27.0ms (0.4%)

Memory

-10.3MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	271657813567693.22	3938959169927680.5

Samples

21.0ms

96×

valid

Compiler

Compiled 143 to 143 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 1.0ms (21.6% of total)

ival-sub: 1.0ms (21.6% of total)

ival-mult: 1.0ms (21.6% of total)

ival-sqrt: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

2.6MiB live, 40.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.7314026302421954e-11	0.0003749704922316583

Samples

10.0ms

144×

valid

Compiler

Compiled 188 to 197 computations (-4.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

ival-sub: 1.0ms (14.7% of total)

ival-sqrt: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Memory

-19.7MiB live, 57.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.331806812428759e+45	1.1344050968024585e+46
12.0ms	-1.3076501575541635e+48	-8.209982872066042e+46

Samples

14.0ms

176×

valid

Compiler

Compiled 199 to 221 computations (-11.1% saved)

Precisions

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

ival-mult: 4.0ms (39.9% of total)

ival-div: 3.0ms (29.9% of total)

ival-sub: 2.0ms (20% of total)

ival-sqrt: 1.0ms (10% 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	5.331806812428759e+45	1.1344050968024585e+46
1.0ms	-1.3076501575541635e+48	-8.209982872066042e+46

Compiler

Compiled 193 to 215 computations (-11.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1938637332.2912369	0.9990407360151767

Compiler

Compiled 17 to 17 computations (0% saved)

simplify44.0ms (0.7%)

Memory

15.6MiB live, 59.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	392
1	97	392
2	130	392
3	168	392
4	195	392
5	261	392
6	359	392
7	362	392

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 (/.f64 y (sqrt.f64 x)) #s(literal 3 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))))
(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 1020000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) 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 3412647653636267/9223372036854775808 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) 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 -850000000000000077833785795618108599333443076096 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 10599999999999999825870033762780073604782489600 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -850000000000000077833785795618108599333443076096 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 10599999999999999825870033762780073604782489600 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #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 #s(literal 1 binary64) (*.f64 #s(literal 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)))
(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 -1000000000 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) #s(approx (/ y (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 1020000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) 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 3412647653636267/9223372036854775808 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) 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 -850000000000000077833785795618108599333443076096 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 10599999999999999825870033762780073604782489600 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -850000000000000077833785795618108599333443076096 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 10599999999999999825870033762780073604782489600 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #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 #s(literal 1 binary64) (*.f64 #s(literal 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)))
(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 -1000000000 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 #s(literal 9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -1000000000 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)))

soundness1.4s (21.1%)

Memory

-13.0MiB live, 794.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	53	158
1	236	135
2	2201	135
0	8313	135
0	55	660
1	129	660
2	304	659
3	778	659
4	1980	659
5	3976	659
6	5206	659
7	6399	659
8	7529	659
9	7918	659
0	8008	638
0	12	39
0	19	39
1	74	33
2	789	33
0	8366	32
0	99	3022
1	282	2965
2	872	2953
3	2530	2953
4	6030	2953
0	8150	2810

Stop Event

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

Compiler

Compiled 524 to 296 computations (43.5% saved)

preprocess126.0ms (1.9%)

Memory: -11.5MiB live, 181.7MiB allocated
Compiler: Compiled 472 to 170 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1000.0ms (15.2%)

explain157.0ms (2.4%)

preprocess160.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.6%)

localize40.0ms (0.6%)

series42.0ms (0.6%)

simplify144.0ms (2.2%)

rewrite227.0ms (3.4%)

eval110.0ms (1.7%)

prune31.0ms (0.5%)

simplify231.0ms (3.5%)

localize105.0ms (1.6%)

series83.0ms (1.3%)

simplify139.0ms (2.1%)

rewrite272.0ms (4.1%)

eval194.0ms (2.9%)

prune42.0ms (0.6%)

simplify228.0ms (3.5%)

localize118.0ms (1.8%)

series34.0ms (0.5%)

simplify136.0ms (2.1%)

rewrite146.0ms (2.2%)

eval119.0ms (1.8%)

prune32.0ms (0.5%)

simplify150.0ms (2.3%)

localize140.0ms (2.1%)

series28.0ms (0.4%)

simplify149.0ms (2.3%)

rewrite159.0ms (2.4%)

eval121.0ms (1.8%)

prune29.0ms (0.4%)

regimes39.0ms (0.6%)

regimes107.0ms (1.6%)

regimes30.0ms (0.5%)

regimes62.0ms (0.9%)

regimes28.0ms (0.4%)

regimes9.0ms (0.1%)

regimes18.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes32.0ms (0.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch25.0ms (0.4%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify44.0ms (0.7%)

soundness1.4s (21.1%)

preprocess126.0ms (1.9%)

end0.0ms (0%)

Profiling