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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.1s (13.1%)

Memory

-8.3MiB live, 1 383.0MiB allocated

Samples

700.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

ival-mult: 129.0ms (31.8% of total)

ival-div: 109.0ms (26.9% of total)

ival-sub: 86.0ms (21.2% of total)

ival-sqrt: 60.0ms (14.8% of total)

exact: 12.0ms (3% of total)

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

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

Bogosity

explain214.0ms (2.6%)

Memory

-18.0MiB live, 194.2MiB 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

66.0ms

512×

valid

Compiler

Compiled 112 to 40 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 33.0ms (67.4% of total)

ival-div: 7.0ms (14.3% of total)

ival-sub: 4.0ms (8.2% of total)

ival-sqrt: 4.0ms (8.2% of total)

exact: 1.0ms (2% of total)

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

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

preprocess157.0ms (1.9%)

Memory

6.7MiB live, 85.8MiB allocated

Algorithm

1×	egg-herbie

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
280×	`times-frac`
200×	`lower-*.f32`
198×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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 16 to 12 computations (25% saved)

simplify41.0ms (0.5%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
200×	`lower-*.f32`
198×	`lower-*.f64`
93×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.6%)

Memory

-24.2MiB live, 15.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.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	0.21875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.30078125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.4141434843063564	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 3.0ms (26.5% of total)

ival-mult: 3.0ms (26.5% of total)

ival-sub: 2.0ms (17.7% of total)

ival-sqrt: 2.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

6 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify166.0ms (2%)

Memory

13.3MiB live, 90.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 831×	`lower-fma.f64`
3 831×	`lower-fma.f32`
1 169×	`lower-*.f64`
1 169×	`lower-*.f32`
676×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite376.0ms (4.6%)

Memory

22.3MiB live, 249.5MiB allocated

Rules

4 134×	`lower-fma.f64`
4 134×	`lower-fma.f32`
2 533×	`lower-*.f32`
2 531×	`lower-*.f64`
2 335×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 428

Calls

Call 1

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

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

eval116.0ms (1.4%)

Memory: 9.6MiB live, 127.0MiB allocated
Compiler: Compiled 16 279 to 1 308 computations (92% saved)

prune186.0ms (2.3%)

Memory

-19.5MiB live, 186.6MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	509	15	524
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	509	16	525

Accuracy

100.0%

Counts

525 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))))
	99.6%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	99.6%	(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 x) x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	99.3%	(-.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))))
	99.5%	(-.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))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.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 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	70.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	70.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x))
▶	64.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
▶	59.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
	41.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 456 to 316 computations (30.7% saved)

simplify131.0ms (1.6%)

Memory

-4.5MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

824×	`lower-fma.f32`
821×	`lower-fma.f64`
528×	`lower-*.f32`
525×	`lower-*.f64`
446×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	59	204
1	107	186
2	190	186
3	305	181
4	521	181
5	952	181
6	1719	181
7	2172	181
8	3084	181
9	3545	181
10	3885	181
11	3899	181
12	3903	181
13	3955	181
14	4136	181
15	4140	181
16	4144	181
17	4144	181
0	4144	180

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

localize169.0ms (2%)

Memory

16.0MiB live, 243.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(/.f64 y (sqrt.f64 x))
accuracy	0.3125	(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
accuracy	0.3173695745096656	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))))
accuracy	0	(sqrt.f64 x)
accuracy	0.11947250976844202	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
accuracy	0.20703125	(/.f64 y (sqrt.f64 x))
accuracy	0.37109375	(/.f64 #s(literal -1/9 binary64) x)
accuracy	0.14453125	(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64))
accuracy	0.32421875	(*.f64 #s(literal -1/3 binary64) y)
accuracy	3.345175487707451	(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
accuracy	19.307913455555706	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
accuracy	0.01171875	(-.f64 x #s(literal 1/9 binary64))
accuracy	0.2109375	(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
accuracy	25.94504196551337	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
accuracy	0.0078125	(-.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	0.20703125	(/.f64 y (sqrt.f64 x))
accuracy	0.2421875	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.4141434843063564	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

130.0ms

256×

valid

Compiler

Compiled 186 to 36 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-sqrt: 49.0ms (44.2% of total)

ival-div: 17.0ms (15.3% of total)

const: 16.0ms (14.4% of total)

ival-mult: 14.0ms (12.6% of total)

ival-sub: 10.0ms (9% of total)

ival-add: 4.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory

-15.2MiB live, 62.4MiB allocated

Counts

20 → 372

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

Calls

93 calls:

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

simplify149.0ms (1.8%)

Memory

-1.9MiB live, 226.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 842×	`lower-fma.f64`
2 842×	`lower-fma.f32`
1 800×	`lower-*.f64`
1 800×	`lower-*.f32`
925×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	3063
1	285	3054
2	828	3042
3	2185	3042
4	4988	3042
0	8221	2879

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

Calls

Call 1

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

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

rewrite309.0ms (3.7%)

Memory

-9.6MiB live, 495.8MiB allocated

Rules

3 983×	`lower-fma.f32`
3 980×	`lower-fma.f64`
2 294×	`lower-/.f32`
2 287×	`lower-/.f64`
1 790×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	158
0	59	166
1	275	143
2	2694	143
0	8986	142

Stop Event

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

Counts

20 → 1 372

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

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

eval275.0ms (3.3%)

Memory: 38.3MiB live, 573.4MiB allocated
Compiler: Compiled 45 789 to 2 313 computations (94.9% saved)

prune235.0ms (2.8%)

Memory

1.1MiB live, 442.1MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 891	18	1 909
Fresh	7	3	10
Picked	3	2	5
Done	1	0	1
Total	1 902	23	1 925

Accuracy

100.0%

Counts

1 925 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (* (/ y (sqrt x)) 1/3)) #s(literal 1 binary64)))
▶	99.6%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	99.6%	(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 x) x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
✓	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	70.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ (/ -1/9 x) 1) #s(literal 1 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	70.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x))
	41.6%	#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))))
	31.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
	64.6%	#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))
	64.7%	#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))
	40.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x x #s(literal -1/81 binary64)) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))
	28.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)))
✓	59.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
	40.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/9 binary64) x)))
	29.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x))
	36.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* -1/3 y) (sqrt x)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
	59.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1/9 binary64)))))
	31.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	64.3%	#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)) (/.f64 #s(literal 1 binary64) x)))
▶	58.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1/9 binary64))))
▶	30.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))

Compiler

Compiled 491 to 331 computations (32.6% saved)

simplify171.0ms (2.1%)

Memory

-15.5MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 224×	`lower-fma.f32`
1 222×	`lower-fma.f64`
592×	`lower-*.f32`
589×	`lower-*.f64`
487×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	198
0	56	194
1	97	184
2	184	184
3	344	181
4	575	181
5	1052	181
6	2244	181
7	3190	181
8	3557	181
9	3578	181
10	3588	181
11	3593	181
12	3685	181
13	4034	181
14	4076	181
15	4076	181
16	4076	181
17	4076	181
0	4076	180

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (1.4%)

Memory

4.0MiB live, 201.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 x #s(literal 1/9 binary64))
accuracy	0.09765625	(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64)))
accuracy	0.38671875	(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	3.247519237707451	(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x)
accuracy	0.0078125	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.21875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.30078125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	33.22142562660335	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(-.f64 x #s(literal 1/9 binary64))
accuracy	0.4579945745096656	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1/9 binary64)))
accuracy	25.94504196551337	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1/9 binary64))))
accuracy	25.94504196551337	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
accuracy	33.22142562660335	#s(approx (/ (- x 1/9) x) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.06640625	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
accuracy	0.34375	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	0.37109375	(/.f64 #s(literal -1/9 binary64) x)

Samples

74.0ms

256×

valid

Compiler

Compiled 169 to 33 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 14.0ms (30.9% of total)

const: 12.0ms (26.5% of total)

ival-mult: 9.0ms (19.9% of total)

ival-sub: 4.0ms (8.8% of total)

ival-add: 3.0ms (6.6% of total)

ival-sqrt: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

-1.6MiB live, 36.6MiB allocated

Counts

19 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

simplify133.0ms (1.6%)

Memory

-13.3MiB live, 277.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 969×	`lower-fma.f64`
2 969×	`lower-fma.f32`
1 837×	`lower-*.f64`
1 837×	`lower-*.f32`
628×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	2731
1	267	2731
2	774	2731
3	2289	2719
4	6038	2719
0	8177	2566

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

Calls

Call 1

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

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

rewrite204.0ms (2.5%)

Memory

36.1MiB live, 380.0MiB allocated

Rules

3 368×	`lower-fma.f32`
3 366×	`lower-fma.f64`
2 125×	`lower-/.f32`
2 120×	`lower-/.f64`
1 708×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	174
0	56	168
1	250	157
2	2390	157
0	8371	156

Stop Event

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

Counts

19 → 684

Calls

Call 1

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

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

eval164.0ms (2%)

Memory: -10.6MiB live, 294.2MiB allocated
Compiler: Compiled 20 655 to 1 741 computations (91.6% saved)

prune183.0ms (2.2%)

Memory

-0.4MiB live, 354.4MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 096	7	1 103
Fresh	5	11	16
Picked	1	4	5
Done	0	2	2
Total	1 102	24	1 126

Accuracy

100.0%

Counts

1 126 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
▶	70.4%	(fma.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
	70.4%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
✓	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x))
	64.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- x 1/9) #s(literal -1/9 binary64))) x))
	41.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	31.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
▶	64.6%	#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))
	40.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x x #s(literal -1/81 binary64)) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))
▶	28.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)))
✓	59.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
	40.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/9 binary64) x)))
▶	29.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x))
	36.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* -1/3 y) (sqrt x)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
▶	59.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1/9 binary64)))))
	31.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	64.3%	#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)) (/.f64 #s(literal 1 binary64) x)))
✓	58.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1/9 binary64))))
	29.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- x 1/9) #s(literal -1/9 binary64))))
✓	30.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))

Compiler

Compiled 463 to 308 computations (33.5% saved)

simplify118.0ms (1.4%)

Memory

-19.5MiB live, 105.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 x x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)))
cost-diff	320	(-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x))
cost-diff	640	(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x)) (*.f64 x x))
cost-diff	0	(-.f64 x #s(literal 1/9 binary64))
cost-diff	0	(/.f64 x (-.f64 x #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 (-.f64 x #s(literal 1/9 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
cost-diff	0	#s(approx (- x 1/9) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	320	(fma.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
cost-diff	384	(/.f64 y #s(literal -3 binary64))

Rules

2 252×	`lower-fma.f32`
2 250×	`lower-fma.f64`
1 395×	`lower-*.f32`
1 392×	`lower-*.f64`
1 117×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	213
0	56	203
1	98	194
2	199	186
3	362	186
4	800	186
5	2249	186
6	5008	186
0	8186	181

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

6.8MiB live, 162.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
accuracy	0.23828125	(*.f64 (sqrt.f64 x) y)
accuracy	3.345175487707451	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
accuracy	19.307913455555706	#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	0.015625	(-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x))
accuracy	0.39453125	(*.f64 #s(literal 1/9 binary64) x)
accuracy	25.94504196551337	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x)) (*.f64 x x)))
accuracy	33.7333868734902	(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) x)) (*.f64 x x))
accuracy	0.01171875	(-.f64 x #s(literal 1/9 binary64))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
accuracy	0.15625	(/.f64 x (-.f64 x #s(literal 1/9 binary64)))
accuracy	25.94504196551337	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1/9 binary64)))))
accuracy	0.2109375	(/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x)
accuracy	25.94504196551337	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x))
accuracy	31.46854044783482	#s(approx (- x 1/9) #s(literal -1/9 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.08984375	(fma.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
accuracy	0.2421875	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	33.22142562660335	#s(approx (/ (- x 1/9) x) #s(literal 1 binary64))

Samples

74.0ms	240×	0	valid
4.0ms	9×	1	valid
4.0ms	7×	2	valid

Compiler

Compiled 172 to 34 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 30.0ms (45.8% of total)

ival-mult: 11.0ms (16.8% of total)

const: 10.0ms (15.3% of total)

ival-sub: 9.0ms (13.7% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-add: 2.0ms (3.1% of total)

adjust: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series21.0ms (0.2%)

Memory

-8.9MiB live, 27.7MiB allocated

Counts

21 → 348

Calls

Call 1

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

Calls

87 calls:

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

simplify150.0ms (1.8%)

Memory

31.4MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 607×	`lower-fma.f64`
3 607×	`lower-fma.f32`
1 804×	`lower-*.f64`
1 804×	`lower-*.f32`
993×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2645
1	377	2644
2	1050	2631
3	2563	2631
4	6224	2631
0	8252	2482

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

Inputs
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
-1/9
(- x 1/9)
(- x 1/9)
(- x 1/9)
x
(* x (- 1 (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/9 (/ 1 x))))
x
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -9 x)
(* x (- (* -81 x) 9))
(* x (- (* x (- (* -729 x) 81)) 9))
(* x (- (* x (- (* x (- (* -6561 x) 729)) 81)) 9))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))
(+ 1 (+ (/ 1/81 (pow x 2)) (+ (* 1/9 (/ 1 x)) (* 1/729 (/ 1 (pow x 3))))))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 x))) x)) 1/9) x)))
-1/9
(- x 1/9)
(- x 1/9)
(- x 1/9)
x
(* x (- 1 (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/9 (/ 1 x))))
x
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1/9 x)
(* x (- x 1/9))
(* x (- x 1/9))
(* x (- x 1/9))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 x))))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
-1/9
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)

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

rewrite374.0ms (4.5%)

Memory

-22.7MiB live, 250.4MiB allocated

Rules

3 507×	`lower-fma.f32`
3 505×	`lower-fma.f64`
2 637×	`lower-/.f32`
2 630×	`lower-/.f64`
1 754×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	196
0	56	177
1	238	168
2	1998	168
0	8705	163

Stop Event

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

Counts

21 → 701

Calls

Call 1

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

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

eval191.0ms (2.3%)

Memory: 13.5MiB live, 165.8MiB allocated
Compiler: Compiled 18 172 to 1 578 computations (91.3% saved)

prune255.0ms (3.1%)

Memory

-12.5MiB live, 273.2MiB allocated

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	1 090	3	1 093
Fresh	0	13	13
Picked	2	3	5
Done	0	6	6
Total	1 092	25	1 117

Accuracy

100.0%

Counts

1 117 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
✓	70.4%	(fma.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
	70.4%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))
✓	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x))
	64.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- x 1/9) #s(literal -1/9 binary64))) x))
	41.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	31.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
✓	64.6%	#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))
	40.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x x #s(literal -1/81 binary64)) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))
✓	59.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
	40.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/9 binary64) x)))
	17.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* 1/9 x)) (.f64 #s(literal -1/9 binary64) x)) (.f64 x x)))
✓	29.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x))
	36.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* -1/3 y) (sqrt x)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
	29.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x 1/9)) (*.f64 #s(literal -9 binary64) x))))
	31.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	64.3%	#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)) (/.f64 #s(literal 1 binary64) x)))
✓	58.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1/9 binary64))))
	29.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- x 1/9) #s(literal -1/9 binary64))))
	28.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 x (/.f64 (-.f64 x #s(literal 1/9 binary64)) (.f64 x x))))
✓	30.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))

Compiler

Compiled 724 to 288 computations (60.2% saved)

regimes64.0ms (0.8%)

Memory

34.6MiB live, 73.3MiB allocated

Counts

44 → 1

Calls

Call 1

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

Calls

3 calls:

37.0ms	y
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))))

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes81.0ms (1%)

Memory

-34.4MiB live, 64.3MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	x
19.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
11.0ms	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 22 to 16 computations (27.3% saved)

regimes35.0ms (0.4%)

Memory

9.4MiB live, 48.4MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
10.0ms	x
10.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.6%	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 22 to 16 computations (27.3% saved)

regimes74.0ms (0.9%)

Memory

-25.1MiB live, 53.1MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

33.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
10.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.7%	3	`y`
97.4%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

10.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.5%)

Memory

-12.0MiB live, 29.2MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

27.0ms	x
7.0ms	y
7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
81.7%	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))))`
94.8%	3	`y`
77.5%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

6.0ms

Results

Accuracy	Segments	Branch
94.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
94.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.5%)

Memory

-17.3MiB live, 21.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

32.0ms	y
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))))
4.0ms	x

Results

Accuracy	Segments	Branch
59.3%	1	`x`
62.2%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
62.5%	2	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
59.3%	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))))`
59.3%	1	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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
58.6%	2	`x`
59.7%	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))))`
36.9%	3	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
59.3%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes34.0ms (0.4%)

Memory

-31.6MiB live, 7.4MiB 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 (/ (- x 1/9) x) #s(literal 1 binary64)))

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

Calls

3 calls:

31.0ms	(-.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	x
1.0ms	y

Results

Accuracy	Segments	Branch
30.9%	1	`y`
30.9%	1	`x`
30.9%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch12.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	245999049991.19553	3573622503177.246

Samples

6.0ms

96×

valid

Compiler

Compiled 187 to 131 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (23.9% of total)

ival-sub: 1.0ms (23.9% of total)

ival-mult: 1.0ms (23.9% of total)

ival-sqrt: 1.0ms (23.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	245999049991.19553	3573622503177.246

Compiler

Compiled 181 to 131 computations (27.6% saved)

bsearch17.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2445706827745494e-6	0.6272891535627619

Samples

9.0ms

144×

valid

Compiler

Compiled 244 to 179 computations (26.6% saved)

Precisions

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

ival-div: 2.0ms (32.2% of total)

ival-mult: 2.0ms (32.2% of total)

ival-sub: 1.0ms (16.1% of total)

ival-sqrt: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (0.7%)

Memory

-13.5MiB live, 25.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	31420.166134104857	1587564471328.43
41.0ms	-1.6984158436541598e+90	-2.03497824162565e+89

Samples

47.0ms

240×

valid

Compiler

Compiled 334 to 242 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 34.0ms (81.9% of total)

ival-mult: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

ival-sqrt: 2.0ms (4.8% 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

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	31420.166134104857	1587564471328.43
1.0ms	-1.6984158436541598e+90	-2.03497824162565e+89

Compiler

Compiled 328 to 236 computations (28% saved)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	31420.166134104857	1587564471328.43
1.0ms	-1.6984158436541598e+90	-2.03497824162565e+89

Compiler

Compiled 319 to 227 computations (28.8% saved)

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	31420.166134104857	1587564471328.43
1.0ms	-1.6984158436541598e+90	-2.03497824162565e+89

Compiler

Compiled 319 to 227 computations (28.8% saved)

bsearch28.0ms (0.3%)

Memory

-24.0MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.192524669436834e+111	3.3678815712253645e+120

Samples

21.0ms

144×

valid

Compiler

Compiled 208 to 134 computations (35.6% saved)

Precisions

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

ival-div: 13.0ms (73.8% of total)

ival-mult: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

ival-sqrt: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1775.020604557114	0.9999822386624505

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1775.020604557114	0.9999822386624505

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify15.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`neg-mul-1_binary64`
40×	`unsub-neg_binary64`
28×	`*-commutative_binary64`
23×	`+-commutative_binary64`
22×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	612
1	117	612
2	150	612
3	191	612
4	220	612
5	290	612
6	394	612
7	397	612

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3500000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x)) (fma.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3500000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #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 -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #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 -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #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 -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ (/ -1/9 x) 1) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ (/ -1/9 x) 1) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 3299999999999999905342712846524970004371795945284041350065477064438034921550654301697269184162914950315529134220983140352 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* 1/9 x)) (.f64 #s(literal -1/9 binary64) x)) (.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #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 -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 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))))
(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 -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3500000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x)) (fma.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3500000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #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 3500000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 x #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #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 -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #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 -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -204999999999999992563852045941016524747507948749391803046038445448183783265748757877096448 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ (/ -1/9 x) 1) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1550000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ (/ -1/9 x) 1) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 3299999999999999905342712846524970004371795945284041350065477064438034921550654301697269184162914950315529134220983140352 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* 1/9 x)) (.f64 #s(literal -1/9 binary64) x)) (.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #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 -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 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))))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 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))))
(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 -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 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 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x 1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (/ (- x 1/9) x) #s(literal 1 binary64)))

soundness1.6s (19.2%)

Memory

17.5MiB live, 932.7MiB allocated

Rules

4 134×	`lower-fma.f64`
4 134×	`lower-fma.f32`
3 983×	`lower-fma.f32`
3 980×	`lower-fma.f64`
3 831×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	3063
1	285	3054
2	828	3042
3	2185	3042
4	4988	3042
0	8221	2879
0	12	39
0	19	39
1	74	33
2	789	33
0	8366	32
0	39	174
0	56	168
1	250	157
2	2390	157
0	8371	156
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638
0	37	158
0	59	166
1	275	143
2	2694	143
0	8986	142
0	143	2645
1	377	2644
2	1050	2631
3	2563	2631
4	6224	2631
0	8252	2482

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

Compiler

Compiled 712 to 334 computations (53.1% saved)

preprocess184.0ms (2.2%)

Memory: -19.1MiB live, 224.1MiB allocated
Compiler: Compiled 696 to 186 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (13.1%)

explain214.0ms (2.6%)

preprocess157.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.5%)

localize47.0ms (0.6%)

series12.0ms (0.1%)

simplify166.0ms (2%)

rewrite376.0ms (4.6%)

eval116.0ms (1.4%)

prune186.0ms (2.3%)

simplify131.0ms (1.6%)

localize169.0ms (2%)

series32.0ms (0.4%)

simplify149.0ms (1.8%)

rewrite309.0ms (3.7%)

eval275.0ms (3.3%)

prune235.0ms (2.8%)

simplify171.0ms (2.1%)

localize112.0ms (1.4%)

series22.0ms (0.3%)

simplify133.0ms (1.6%)

rewrite204.0ms (2.5%)

eval164.0ms (2%)

prune183.0ms (2.2%)

simplify118.0ms (1.4%)

localize124.0ms (1.5%)

series21.0ms (0.2%)

simplify150.0ms (1.8%)

rewrite374.0ms (4.5%)

eval191.0ms (2.3%)

prune255.0ms (3.1%)

regimes64.0ms (0.8%)

regimes81.0ms (1%)

regimes35.0ms (0.4%)

regimes74.0ms (0.9%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes42.0ms (0.5%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes42.0ms (0.5%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes34.0ms (0.4%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch59.0ms (0.7%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch28.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness1.6s (19.2%)

preprocess184.0ms (2.2%)

end0.0ms (0%)

Profiling