Metrics for Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.6s (18%)

Memory

-12.7MiB live, 1 655.3MiB allocated

Samples

1.0s	8 256×	0	valid
38.0ms	262×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 759.0ms

ival-mult: 413.0ms (54.4% of total)

ival-div: 127.0ms (16.7% of total)

ival-add: 84.0ms (11.1% of total)

ival-sqrt: 71.0ms (9.4% of total)

ival-sub: 41.0ms (5.4% of total)

exact: 12.0ms (1.6% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain196.0ms (2.3%)

Memory

24.4MiB live, 302.1MiB 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 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 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	-	-	`(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))`
0	-	-	`(*.f64 x #s(literal 9 binary64))`
0	-	-	`y`
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

56.0ms

512×

valid

Compiler

Compiled 116 to 40 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 9.0ms (37.3% of total)

ival-div: 5.0ms (20.7% of total)

ival-sqrt: 4.0ms (16.6% of total)

ival-sub: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

ival-true: 1.0ms (4.1% of total)

exact: 1.0ms (4.1% of total)

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

preprocess272.0ms (3.1%)

Memory

-1.1MiB live, 161.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 216×	`lower-fma.f64`
3 216×	`lower-fma.f32`
1 344×	`lower-*.f32`
1 338×	`lower-*.f64`
1 274×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	84	64
2	304	62
3	1272	62
4	3592	62
5	5843	62
6	7559	62
0	12	14
0	19	14
1	34	12
2	75	12
3	186	12
4	324	12
5	425	12
6	841	12
7	1707	12
8	2627	12
9	3358	12
10	3543	12
11	3573	12
12	3574	12
13	3574	12
14	3776	12
15	4021	12
16	4491	12
17	4491	12
18	4491	12
0	4491	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify171.0ms (2%)

Memory

8.9MiB live, 84.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3 216×	`lower-fma.f64`
3 216×	`lower-fma.f32`
1 344×	`lower-*.f32`
1 338×	`lower-*.f64`
546×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	19	49
1	34	41
2	75	41
3	186	41
4	324	41
5	425	41
6	841	41
7	1707	41
8	2627	41
9	3358	41
10	3543	41
11	3573	41
12	3574	41
13	3574	41
14	3776	41
15	4021	41
16	4491	41
17	4491	41
18	4491	41
0	4491	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.6%)

Memory

-12.4MiB live, 107.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.234375	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.4568190803834904	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

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

ival-mult: 4.0ms (36% of total)

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

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

ival-sub: 1.0ms (9% of total)

ival-add: 1.0ms (9% 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

-17.1MiB live, 20.7MiB allocated

Counts

5 → 84

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

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

Calls

6 calls:

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

simplify141.0ms (1.6%)

Memory

37.9MiB live, 232.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 212×	`lower-fma.f64`
9 212×	`lower-fma.f32`
4 246×	`lower-*.f64`
4 246×	`lower-*.f32`
2 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	570
1	195	543
2	610	543
3	2216	541
4	6073	541
0	8418	509

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

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

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

rewrite170.0ms (2%)

Memory

-60.7MiB live, 285.9MiB allocated

Rules

5 628×	`lower-fma.f64`
5 628×	`lower-fma.f32`
4 000×	`lower-*.f32`
3 994×	`lower-*.f64`
2 686×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	19	32
1	66	26
2	521	26
3	6476	26
0	8295	25

Stop Event

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

Counts

5 → 202

Calls

Call 1

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

Outputs
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eval35.0ms (0.4%)

Memory: 12.7MiB live, 88.7MiB allocated
Compiler: Compiled 5 815 to 785 computations (86.5% saved)

prune26.0ms (0.3%)

Memory

0.8MiB live, 83.8MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	259	23	282
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	259	24	283

Accuracy

100.0%

Counts

283 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
▶	99.4%	(fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
	63.3%	(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
	99.3%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))))
▶	99.4%	(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	99.1%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
	99.3%	(.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	99.4%	(.f64 (.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
	99.2%	(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	58.7%	(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶	66.3%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
	99.3%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	92.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
	64.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
	67.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
	67.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
	61.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
	64.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
▶	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	37.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
▶	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))

Compiler

Compiled 676 to 574 computations (15.1% saved)

simplify155.0ms (1.8%)

Memory

6.7MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	128	(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
cost-diff	0	(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
cost-diff	0	(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
cost-diff	960	(fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
cost-diff	0	(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
cost-diff	0	(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
cost-diff	0	(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))

Rules

6 810×	`lower-fma.f32`
6 802×	`lower-fma.f64`
2 994×	`lower-*.f32`
2 976×	`lower-*.f64`
1 480×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	262
0	69	259
1	120	255
2	239	253
3	507	253
4	905	253
5	1770	253
6	3468	253
7	6786	253
0	8039	249

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(literal 3 binary64)
#s(literal -3 binary64)
(sqrt.f64 x)
(fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
#s(literal -3 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/81 binary64)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)

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

localize187.0ms (2.2%)

Memory

0.6MiB live, 208.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.4296875	(/.f64 #s(literal 1/9 binary64) x)
accuracy	3.7929563649812352	(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y))
accuracy	28.08711707973788	(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
accuracy	0.1796875	(fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
accuracy	0.265625	(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
accuracy	0.34212875976844204	(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
accuracy	0.4296875	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0.01171875	(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
accuracy	0.171875	(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
accuracy	0.2897262695368841	(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy	0.4296875	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.2421875	(*.f64 y (sqrt.f64 x))
accuracy	0.3125	(.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	40.45432281681634	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
accuracy	0.1015625	(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.2897262695368841	(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.34765625	(/.f64 #s(literal 1/3 binary64) x)

Samples

108.0ms	228×	0	valid
11.0ms	19×	1	valid
7.0ms	9×	2	valid

Compiler

Compiled 254 to 44 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 37.0ms (39.3% of total)

const: 28.0ms (29.7% of total)

ival-div: 7.0ms (7.4% of total)

ival-add: 7.0ms (7.4% of total)

ival-sub: 5.0ms (5.3% of total)

adjust: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-sqrt: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series94.0ms (1.1%)

Memory

-0.8MiB live, 73.3MiB allocated

Counts

19 → 396

Calls

Call 1

Inputs
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (patch (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.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 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<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 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) 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 (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (patch (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (patch (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (patch (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) (patch (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (/ 1/3 x) (* -3 (sqrt x)) (+ (* (pow x -2) 1/81) (* (neg y) y)))
27.0ms	y	@	inf	((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (/ 1/3 x) (* -3 (sqrt x)) (+ (* (pow x -2) 1/81) (* (neg y) y)))
6.0ms	y	@	0	((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (/ 1/3 x) (* -3 (sqrt x)) (+ (* (pow x -2) 1/81) (* (neg y) y)))
6.0ms	x	@	inf	((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (/ 1/3 x) (* -3 (sqrt x)) (+ (* (pow x -2) 1/81) (* (neg y) y)))
5.0ms	x	@	0	((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (* 3 (sqrt x)) (/ 1/3 x) (* -3 (sqrt x)) (+ (* (pow x -2) 1/81) (* (neg y) y)))

simplify136.0ms (1.6%)

Memory

9.4MiB live, 130.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 024×	`lower-fma.f64`
8 024×	`lower-fma.f32`
4 376×	`lower-*.f64`
4 376×	`lower-*.f32`
1 462×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	3839
1	667	3730
2	2218	3658
3	4641	3652
0	8134	3422

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 388

Calls

Call 1

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

rewrite279.0ms (3.2%)

Memory

1.7MiB live, 153.8MiB allocated

Rules

6 872×	`lower-*.f32`
6 854×	`lower-*.f64`
4 334×	`lower-/.f32`
4 328×	`lower-/.f64`
3 598×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	184
0	69	171
1	263	157
2	2243	157
0	9763	157

Stop Event

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

Counts

19 → 431

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y))

Outputs
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eval324.0ms (3.7%)

Memory: 5.1MiB live, 158.2MiB allocated
Compiler: Compiled 20 259 to 1 930 computations (90.5% saved)

prune244.0ms (2.8%)

Memory

-22.7MiB live, 147.5MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 033	24	1 057
Fresh	16	2	18
Picked	2	3	5
Done	0	1	1
Total	1 051	30	1 081

Accuracy

100.0%

Counts

1 081 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	61.4%	(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
	53.0%	(/.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 2 binary64)) x (.f64 #s(literal -9 binary64) x)) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	63.3%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)))
▶	99.4%	(.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
✓	99.4%	(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
▶	64.0%	(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	99.1%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
	99.4%	(.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	92.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
	64.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
	61.4%	(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
	92.2%	(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
	37.8%	(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
	64.1%	(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
	36.6%	(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
	64.1%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
	82.2%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (fma.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
	54.1%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	37.8%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	67.8%	#s(approx (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
	91.2%	#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)))
	75.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))
▶	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
✓	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
✓	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶	68.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))))
	68.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)))) (.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y)))))

Compiler

Compiled 810 to 642 computations (20.7% saved)

simplify133.0ms (1.5%)

Memory

14.1MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 968×	`lower-fma.f32`
8 960×	`lower-fma.f64`
2 916×	`lower-*.f32`
2 892×	`lower-*.f64`
2 022×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	326
0	75	308
1	134	304
2	281	301
3	604	301
4	1647	301
5	3536	301
6	6922	301
0	8095	287

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.1%)

Memory

4.9MiB live, 162.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))
accuracy	0.2897262695368841	(.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x)))
accuracy	4.044423950707119	(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)))
accuracy	15.771201029186894	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) y) x))
accuracy	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
accuracy	0.1015625	(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
accuracy	0.2897262695368841	(.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))))
accuracy	0.5294165901519323	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.171875	(fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
accuracy	0.2897262695368841	(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy	0.4296875	(/.f64 #s(literal 1/9 binary64) x)
accuracy	27.921230860781826	#s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.265625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.26953125	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy	40.45432281681634	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy	0.01171875	(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))
accuracy	0.171875	(fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64))
accuracy	0.2897262695368841	(.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy	0.4568190803834904	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))

Samples

98.0ms	221×	0	valid
31.0ms	23×	1	valid
9.0ms	12×	2	valid

Compiler

Compiled 280 to 46 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 29.0ms (31.8% of total)

const: 25.0ms (27.4% of total)

ival-div: 16.0ms (17.6% of total)

ival-add: 10.0ms (11% of total)

ival-sub: 4.0ms (4.4% of total)

adjust: 3.0ms (3.3% of total)

ival-sqrt: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1%)

Memory

-4.2MiB live, 72.8MiB allocated

Counts

23 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	y	@	-inf	((/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (* (- 1 (* y y)) -3) (* (+ 1 y) 1/3) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))))
5.0ms	x	@	-inf	((/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (* (- 1 (* y y)) -3) (* (+ 1 y) 1/3) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))))
3.0ms	x	@	inf	((/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (* (- 1 (* y y)) -3) (* (+ 1 y) 1/3) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))))
3.0ms	x	@	0	((/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (* (- 1 (* y y)) -3) (* (+ 1 y) 1/3) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))))
3.0ms	y	@	0	((/ 1 (* 9 x)) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (+ y (/ 1 (* 9 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (* (- 1 (* y y)) -3) (* (+ 1 y) 1/3) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))))

simplify226.0ms (2.6%)

Memory

17.4MiB live, 210.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 862×	`lower-fma.f64`
10 862×	`lower-fma.f32`
5 380×	`lower-*.f64`
5 380×	`lower-*.f32`
3 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	4992
1	981	4683
2	3321	4623
0	8346	4329

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 459

Calls

Call 1

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

rewrite227.0ms (2.6%)

Memory

-14.5MiB live, 347.4MiB allocated

Rules

4 860×	`lower-/.f32`
4 852×	`lower-/.f64`
4 806×	`lower-*.f32`
4 784×	`lower-*.f64`
3 194×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	275
0	75	231
1	288	217
2	2027	217
0	8317	215

Stop Event

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

Counts

23 → 802

Calls

Call 1

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

Outputs
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eval401.0ms (4.6%)

Memory: 16.2MiB live, 416.8MiB allocated
Compiler: Compiled 30 468 to 2 795 computations (90.8% saved)

prune89.0ms (1%)

Memory

7.1MiB live, 247.4MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 320	17	1 337
Fresh	12	9	21
Picked	2	3	5
Done	0	4	4
Total	1 334	33	1 367

Accuracy

100.0%

Counts

1 367 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	64.1%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))))
	61.4%	(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
✓	99.4%	(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	64.1%	(.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
✓	64.0%	(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	99.1%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
	64.1%	(.f64 (+.f64 (.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
▶	99.4%	(.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	92.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
	61.4%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
	37.8%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
	64.1%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
▶	36.6%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
	64.1%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
	82.2%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (fma.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
	54.1%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	37.8%	#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	91.0%	#s(approx (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (.f64 (.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))
	61.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (.f64 (+.f64 y #s(literal 1 binary64)) x)))
	74.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (sqrt.f64 x) x)))
✓	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
✓	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
✓	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	68.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) x) (.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)))))
	67.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) y)))))
	45.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x #s(approx ( (+ 1 y) 1/3) (.f64 y #s(literal 1/3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) y) x))))
▶	37.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))))
	63.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (/ (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))))
	61.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))))
▶	63.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))

Compiler

Compiled 817 to 673 computations (17.6% saved)

simplify182.0ms (2.1%)

Memory

-15.7MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff	1280	(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(.f64 (sqrt.f64 x) (/.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x)))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff	128	(.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))

Rules

15 188×	`lower-fma.f32`
15 182×	`lower-fma.f64`
4 020×	`lower-*.f32`
4 000×	`lower-*.f64`
2 074×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	378
0	83	360
1	155	360
2	299	360
3	593	360
4	1246	360
5	3317	360
6	7091	360
0	8091	336

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (2.6%)

Memory

17.8MiB live, 344.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy	0.265625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.26953125	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.4296875	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0.18359375	(fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))
accuracy	0.2897262695368841	(.f64 (sqrt.f64 x) (/.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x)))
accuracy	15.771201029186894	(/.f64 #s(approx (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
accuracy	39.587657058723444	#s(approx (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64)))
accuracy	0.00390625	(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
accuracy	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.6038316255152203	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))
accuracy	22.741955875803715	#s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.2897262695368841	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
accuracy	40.52120633089232	#s(approx (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64)))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
accuracy	0.2421875	(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	0.26171875	(.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.4296875	(/.f64 #s(literal 1/9 binary64) x)

Samples

101.0ms	214×	0	valid
72.0ms	14×	2	valid
25.0ms	28×	1	valid

Compiler

Compiled 286 to 52 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 74.0ms (42.7% of total)

ival-add: 50.0ms (28.8% of total)

ival-div: 19.0ms (11% of total)

adjust: 10.0ms (5.8% of total)

const: 8.0ms (4.6% of total)

ival-sqrt: 7.0ms (4% of total)

ival-sub: 5.0ms (2.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series44.0ms (0.5%)

Memory

-7.1MiB live, 114.0MiB allocated

Counts

25 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((* (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) 3) (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) (- (+ (/ 1/9 x) y) 1) (+ (/ 1/9 x) y) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (sqrt (/ 1 x)) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (+ (* -3 x) 1/3) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* y 1/3) 1/3) (* y (* (sqrt x) 3)) (* (sqrt x) 3))
6.0ms	x	@	-inf	((* (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) 3) (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) (- (+ (/ 1/9 x) y) 1) (+ (/ 1/9 x) y) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (sqrt (/ 1 x)) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (+ (* -3 x) 1/3) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* y 1/3) 1/3) (* y (* (sqrt x) 3)) (* (sqrt x) 3))
3.0ms	x	@	inf	((* (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) 3) (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) (- (+ (/ 1/9 x) y) 1) (+ (/ 1/9 x) y) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (sqrt (/ 1 x)) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (+ (* -3 x) 1/3) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* y 1/3) 1/3) (* y (* (sqrt x) 3)) (* (sqrt x) 3))
3.0ms	x	@	0	((* (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) 3) (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) (- (+ (/ 1/9 x) y) 1) (+ (/ 1/9 x) y) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (sqrt (/ 1 x)) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (+ (* -3 x) 1/3) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* y 1/3) 1/3) (* y (* (sqrt x) 3)) (* (sqrt x) 3))
2.0ms	y	@	inf	((* (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) 3) (* (- (+ (/ 1/9 x) y) 1) (sqrt x)) (- (+ (/ 1/9 x) y) 1) (+ (/ 1/9 x) y) (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (sqrt (/ 1 x)) (* (+ 1 y) x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (+ (* -3 x) 1/3) (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (+ (* y 1/3) 1/3) (* y (* (sqrt x) 3)) (* (sqrt x) 3))

simplify239.0ms (2.8%)

Memory

4.1MiB live, 290.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 206×	`lower-fma.f64`
14 206×	`lower-fma.f32`
5 432×	`lower-*.f64`
5 432×	`lower-*.f32`
3 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	5356
1	1161	5093
2	3893	5063
0	8169	4731

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 473

Calls

Call 1

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

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

rewrite193.0ms (2.2%)

Memory

-11.3MiB live, 340.2MiB allocated

Rules

5 994×	`lower-fma.f32`
5 988×	`lower-fma.f64`
4 400×	`lower-/.f32`
4 394×	`lower-/.f64`
3 980×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	342
0	83	324
1	348	317
2	2454	317
0	8451	303

Stop Event

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

Counts

25 → 627

Calls

Call 1

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

Outputs
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eval244.0ms (2.8%)

Memory: 5.5MiB live, 436.0MiB allocated
Compiler: Compiled 23 989 to 2 924 computations (87.8% saved)

prune85.0ms (1%)

Memory

17.5MiB live, 219.6MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1 222	14	1 236
Fresh	13	8	21
Picked	3	2	5
Done	2	5	7
Total	1 240	29	1 269

Accuracy

100.0%

Counts

1 269 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
	61.4%	(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	61.4%	(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
✓	99.4%	(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	64.1%	(.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
✓	99.4%	(.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
	92.6%	(.f64 (.f64 (-.f64 #s(approx (+ (/ 1/9 x) y) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
	37.8%	(.f64 (.f64 #s(approx (- (+ (/ 1/9 x) y) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
	61.4%	(.f64 (.f64 #s(approx (- (+ (/ 1/9 x) y) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
	61.4%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
	37.8%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
	64.1%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
✓	36.6%	(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
	54.1%	#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	37.8%	#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	91.0%	#s(approx (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (.f64 (.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))
	37.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (fma.f64 x y x)))
✓	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
✓	36.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
✓	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	63.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (/ (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))))
	61.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))))
	64.2%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
	63.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 x))))
	63.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))
	26.3%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (+ ( -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)))))
	3.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	26.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))

Compiler

Compiled 1 407 to 598 computations (57.5% saved)

regimes100.0ms (1.1%)

Memory

-11.0MiB live, 139.7MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))))
(.f64 (.f64 #s(approx (- (+ (/ 1/9 x) y) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (+ ( -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)))))
(.f64 (.f64 #s(approx (- (+ (/ 1/9 x) y) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (/ (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))))
(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (fma.f64 x y x)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 #s(approx (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(approx (+ (/ 1/9 x) y) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))))
#s(approx (* (+ (* (+ y (/ 1 (* 9 x))) 3) -3) (sqrt x)) (.f64 (.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
(fma.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) y y)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (fma.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x #s(approx ( (+ 1 y) 1/3) (.f64 y #s(literal 1/3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) y) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (sqrt.f64 x)) (.f64 (+.f64 y #s(literal 1 binary64)) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/3 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (sqrt.f64 x) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)))) (.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) x) (.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) x (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (.f64 y (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 2 binary64)) x (.f64 #s(literal -9 binary64) x)) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (.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)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))

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

Calls

3 calls:

49.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
24.0ms	x
23.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes28.0ms (0.3%)

Memory

25.4MiB live, 63.9MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))))
(.f64 (.f64 #s(approx (- (+ (/ 1/9 x) y) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(.f64 #s(approx (+ ( (+ y (/ 1 (* 9 x))) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (+ ( -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)))))
(.f64 (.f64 #s(approx (- (+ (/ 1/9 x) y) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (/ (+ ( (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))))
(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (/ (+ (* (pow x -2) 1/81) (* (neg y) y)) (- (/ 1/9 x) y)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))

Outputs

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

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

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

Calls

3 calls:

10.0ms	y
9.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
8.0ms	x

Results

Accuracy	Segments	Branch
89.2%	2	`x`
86.1%	3	`y`
93.4%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes22.0ms (0.2%)

Memory

-52.2MiB live, 11.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

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

Results

Accuracy	Segments	Branch
91.9%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes13.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.4%	1	`y`
61.4%	1	`x`
61.4%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-15.5MiB live, 22.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
60.6%	3	`y`
57.8%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
41.6%	3	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

-23.4MiB live, 13.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
26.7%	1	`x`
28.9%	2	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
26.7%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

1.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
26.7%	1	`x`
26.7%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0370332441541035e+146	1.0642883076616418e+147
0.0ms	-3.560838481887805e+29	-2.3164713191275246e+26

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0370332441541035e+146	1.0642883076616418e+147
0.0ms	-3.9322564351814986	3.8760788579358008

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch36.0ms (0.4%)

Memory

-11.1MiB live, 67.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0003405332309628939	31.05264543826981
13.0ms	-786792.4204050497	-4615.179517113672

Samples

18.0ms

256×

valid

Compiler

Compiled 241 to 289 computations (-19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.9% of total)

ival-div: 2.0ms (16.3% of total)

ival-sqrt: 2.0ms (16.3% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% 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

4.9MiB live, 4.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0003405332309628939	31.05264543826981
1.0ms	-786792.4204050497	-4615.179517113672

Compiler

Compiled 241 to 289 computations (-19.9% saved)

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0003405332309628939	31.05264543826981
1.0ms	-786792.4204050497	-4615.179517113672

Compiler

Compiled 241 to 289 computations (-19.9% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.9322564351814986	3.8760788579358008

Compiler

Compiled 17 to 17 computations (0% saved)

simplify30.0ms (0.3%)

Memory

-9.7MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`-commutative-binary64-.f64`
12×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
10×	`+-commutative-binary64-+.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	790
1	123	790
2	130	790
3	136	790
4	144	790
5	155	790

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -199999999999999982866301714432 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(if (<=.f64 y #s(literal -4800 binary64)) (.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -199999999999999982866301714432 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal -199999999999999982866301714432 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (sqrt.f64 x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (- 1 y) -3) (/ 1 (* x 3))) (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 x))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(if (<=.f64 y #s(literal -4800 binary64)) (.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) (.f64 #s(approx (+ ( (+ y (/ 1/9 x)) 3) -3) (.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -4800 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (.f64 #s(literal -3 binary64) (sqrt.f64 x))))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (/ (+ (* (* (- 1 (* y y)) -3) x) (* (+ 1 y) 1/3)) (* (+ 1 y) x))) #s(approx (* (sqrt (/ 1 x)) (+ (* -3 x) 1/3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))

soundness1.7s (19.8%)

Memory

-165.9MiB live, 1 124.1MiB allocated

Rules

14 206×	`lower-fma.f64`
14 206×	`lower-fma.f32`
10 862×	`lower-fma.f64`
10 862×	`lower-fma.f32`
9 212×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	19	32
1	66	26
2	521	26
3	6476	26
0	8295	25
0	57	342
0	83	324
1	348	317
2	2454	317
0	8451	303
0	72	570
1	195	543
2	610	543
3	2216	541
4	6073	541
0	8418	509
0	42	184
0	69	171
1	263	157
2	2243	157
0	9763	157
0	364	5356
1	1161	5093
2	3893	5063
0	8169	4731
0	230	3839
1	667	3730
2	2218	3658
3	4641	3652
0	8134	3422
0	314	4992
1	981	4683
2	3321	4623
0	8346	4329

Stop Event

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

Compiler

Compiled 473 to 310 computations (34.5% saved)

preprocess64.0ms (0.7%)

Memory: 4.7MiB live, 121.6MiB allocated
Compiler: Compiled 592 to 184 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.1%)

sample1.6s (18%)

explain196.0ms (2.3%)

preprocess272.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify171.0ms (2%)

localize55.0ms (0.6%)

series12.0ms (0.1%)

simplify141.0ms (1.6%)

rewrite170.0ms (2%)

eval35.0ms (0.4%)

prune26.0ms (0.3%)

simplify155.0ms (1.8%)

localize187.0ms (2.2%)

series94.0ms (1.1%)

simplify136.0ms (1.6%)

rewrite279.0ms (3.2%)

eval324.0ms (3.7%)

prune244.0ms (2.8%)

simplify133.0ms (1.5%)

localize183.0ms (2.1%)

series86.0ms (1%)

simplify226.0ms (2.6%)

rewrite227.0ms (2.6%)

eval401.0ms (4.6%)

prune89.0ms (1%)

simplify182.0ms (2.1%)

localize229.0ms (2.6%)

series44.0ms (0.5%)

simplify239.0ms (2.8%)

rewrite193.0ms (2.2%)

eval244.0ms (2.8%)

prune85.0ms (1%)

regimes100.0ms (1.1%)

regimes28.0ms (0.3%)

regimes22.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch36.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.3%)

soundness1.7s (19.8%)

preprocess64.0ms (0.7%)

end0.0ms (0%)

Profiling