Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (16.9%)

Memory

29.7MiB live, 891.5MiB allocated

Samples

737.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-div: 197.0ms (47.9% of total)

ival-mult: 133.0ms (32.4% of total)

ival-sub: 62.0ms (15.1% of total)

exact: 10.0ms (2.4% of total)

ival-true: 5.0ms (1.2% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain127.0ms (1.9%)

Memory

-19.9MiB live, 101.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 16 binary64)`
-	-	`#s(literal 116 binary64)`
-	-	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
-	-	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
-	-	`(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))`
-	-	`y`
-	-	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
-	-	`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

41.0ms	484×	0	valid
3.0ms	18×	2	valid
1.0ms	10×	1	valid

Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 19.0ms (63.2% of total)

ival-mult: 6.0ms (19.9% of total)

ival-sub: 3.0ms (10% of total)

adjust: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

preprocess60.0ms (0.9%)

Memory

10.9MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Rules

476×	`distribute-lft-in`
416×	`distribute-rgt-in`
346×	`unsub-neg`
290×	`associate-r`
228×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	56	37
2	160	35
3	528	35
4	1538	35
5	1779	35
6	2006	35
7	2103	35
8	2137	35
9	2149	35
0	9	7
0	14	7
1	21	7
2	36	7
3	66	7
4	88	7
0	88	6

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Outputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))

Symmetry

(negabs y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
cost-diff	0	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
cost-diff	128	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
cost-diff	704	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))

Rules

60×	`lower-*.f32`
56×	`lower-*.f64`
36×	`lower-fma.f64`
36×	`lower-fma.f32`
26×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	14	21
1	21	21
2	36	21
3	66	21
4	88	21
0	88	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

Outputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 4/29 binary64)
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

localize26.0ms (0.4%)

Memory

-9.2MiB live, 28.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy	0.0703125	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.1171875	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

18.0ms	242×	0	valid
1.0ms	9×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-mult: 3.0ms (41.4% of total)

ival-div: 2.0ms (27.6% of total)

ival-sub: 1.0ms (13.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) (patch (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -12/29 (taylor 0 x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -4/29 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	y	@	inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	y	@	0	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	x	@	-inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	x	@	inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))

simplify200.0ms (2.9%)

Memory

12.9MiB live, 94.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 408×	`lower-fma.f64`
4 408×	`lower-fma.f32`
3 680×	`lower-*.f64`
3 680×	`lower-*.f32`
2 488×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	242
1	112	242
2	290	242
3	614	242
4	1570	242
5	2670	242
6	3756	242
7	4250	242
8	4425	242
9	4445	242
10	4459	242
11	5193	242
12	5573	242
13	5799	242
14	6250	242
15	6612	242
16	6618	242
17	6630	242
18	6630	242
0	8644	212

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))

Outputs
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))

rewrite322.0ms (4.7%)

Memory

-15.6MiB live, 263.8MiB allocated

Rules

4 904×	`lower-/.f64`
4 904×	`lower-/.f32`
4 434×	`lower-fma.f64`
4 434×	`lower-fma.f32`
4 154×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8918	14

Stop Event

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

Counts

4 → 507

Calls

Call 1

Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Outputs
#s(literal 4/29 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))))) (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 144/841 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))
(.f64 (.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 144/841 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (+.f64 #s(literal -1728/24389 binary64) (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 144/841 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 x #s(literal -4/29 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 4/29 binary64))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x #s(literal -4/29 binary64))) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal -4/29 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (-.f64 x #s(literal -4/29 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x #s(literal -4/29 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (-.f64 x #s(literal -4/29 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)) (-.f64 #s(literal 4/29 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (-.f64 #s(literal 4/29 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (.f64 x #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (.f64 x #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (.f64 x #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (.f64 x #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (.f64 x #s(literal 4/29 binary64))))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (.f64 x #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -4/29 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4/29 binary64) x))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(-.f64 x #s(literal 4/29 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)))))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64)) (.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -4/29 binary64))
(+.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -4/29 binary64) x)
(+.f64 x #s(literal -4/29 binary64))

eval75.0ms (1.1%)

Memory: 18.9MiB live, 169.6MiB allocated
Compiler: Compiled 13 714 to 1 811 computations (86.8% saved)

prune81.0ms (1.2%)

Memory

-1.3MiB live, 195.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	546	7	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	547	7	554

Accuracy

100.0%

Counts

554 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
▶	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	99.6%	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
▶	50.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
▶	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	50.1%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 88 to 90 computations (-2.3% saved)

simplify6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	0	(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
cost-diff	128	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Rules

68×	`lower-*.f32`
52×	`lower-*.f64`
36×	`lower-fma.f32`
34×	`lower-fma.f64`
26×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	101
0	34	100
1	52	95
2	75	95
3	94	95
4	96	95
0	96	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)

localize158.0ms (2.3%)

Memory

-25.5MiB live, 94.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.04296875	(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
accuracy	0.2578125	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1171875	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
accuracy	32.128181474247334	#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.21875	(.f64 (.f64 y #s(literal 3 binary64)) x)
accuracy	31.85683975972829	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
accuracy	0.1171875	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	30.9053424758701	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy	0.0078125	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.1171875	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

138.0ms	242×	0	valid
3.0ms	9×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 97 to 21 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-sub: 105.0ms (82.1% of total)

ival-mult: 12.0ms (9.4% of total)

const: 7.0ms (5.5% of total)

ival-div: 2.0ms (1.6% of total)

ival-add: 2.0ms (1.6% of total)

adjust: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

13 → 240

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<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 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) (patch #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
2.0ms	y	@	0	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
2.0ms	y	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
1.0ms	x	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
1.0ms	y	@	inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))

simplify243.0ms (3.5%)

Memory

-48.0MiB live, 137.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 712×	`lower-/.f32`
3 712×	`lower-/.f64`
2 840×	`lower-fma.f64`
2 840×	`lower-fma.f32`
2 648×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1292
1	153	1292
2	397	1292
3	819	1292
4	2188	1292
5	3696	1292
6	4704	1292
7	5006	1292
8	5252	1292
9	5298	1292
10	5342	1292
11	5468	1292
12	5744	1292
13	6092	1292
14	6102	1292
15	6102	1292
16	6102	1292
0	8046	1160

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

Inputs
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))

Outputs
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))

rewrite235.0ms (3.4%)

Memory

4.7MiB live, 317.1MiB allocated

Rules

5 952×	`lower-fma.f32`
5 950×	`lower-fma.f64`
4 632×	`lower-/.f64`
4 632×	`lower-/.f32`
3 872×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	85
0	34	84
1	80	79
2	353	79
3	2710	79
0	8665	79

Stop Event

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

Counts

13 → 685

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(-.f64 x #s(literal 4/29 binary64))

Outputs
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (*.f64 x #s(literal 36/29 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 4/29 binary64) x))))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (/.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) y))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 y (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)) y))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal 4/29 binary64)) y))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal -4/29 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) (.f64 (*.f64 y #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) (.f64 (*.f64 y #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))) (.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) (.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))) (.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y)) (.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y))) (.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) (.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y))))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x))) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x))) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x))) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x))) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x #s(literal -4/29 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (neg.f64 (-.f64 x #s(literal -4/29 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -4/29 binary64) x)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -4/29 binary64) x)))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -4/29 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x)))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(-.f64 x #s(literal 4/29 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))))
(+.f64 #s(literal -4/29 binary64) x)
(+.f64 x #s(literal -4/29 binary64))

eval216.0ms (3.2%)

Memory: 33.5MiB live, 186.7MiB allocated
Compiler: Compiled 15 799 to 1 947 computations (87.7% saved)

prune145.0ms (2.1%)

Memory

-39.8MiB live, 243.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	921	2	923
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	922	8	930

Accuracy

100.0%

Counts

930 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	51.7%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	50.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	50.1%	(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 49 to 51 computations (-4.1% saved)

simplify10.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
cost-diff	896	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	128	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
cost-diff	0	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
cost-diff	0	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* y (- x 4/29)) (*.f64 x y))
cost-diff	0	(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))

Rules

116×	`lower-*.f32`
104×	`lower-*.f64`
70×	`lower-/.f32`
66×	`lower-/.f64`
64×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	90
0	32	89
1	51	89
2	84	87
3	121	86
4	143	86
5	155	86
6	167	86
7	180	86
8	193	86
9	202	86
10	207	86
0	207	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

Outputs
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) #s(approx ( y (- x 4/29)) (*.f64 x y)))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

localize149.0ms (2.2%)

Memory

-27.0MiB live, 135.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy	0.27734375	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.25228500976844204	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	0.04296875	(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy	0.2578125	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
accuracy	30.89531719913026	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.2578125	(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
accuracy	31.84965320917254	#s(approx (* y (- x 4/29)) (*.f64 x y))

Samples

40.0ms	243×	0	valid
3.0ms	9×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

const: 13.0ms (42.8% of total)

ival-mult: 10.0ms (33% of total)

ival-div: 4.0ms (13.2% of total)

ival-add: 1.0ms (3.3% of total)

ival-sub: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

12 → 228

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (.f64 x y)) (patch #s(approx ( y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	x	@	-inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	0	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	x	@	inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify609.0ms (8.9%)

Memory

7.4MiB live, 125.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 056×	`lower-fma.f64`
7 056×	`lower-fma.f32`
2 490×	`lower-*.f64`
2 490×	`lower-*.f32`
2 174×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1200
1	274	1200
2	638	1200
3	1294	1200
4	3505	1192
5	5868	1192
6	7972	1192
0	8013	1093

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))

Outputs
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
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(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))

rewrite629.0ms (9.2%)

Memory

5.3MiB live, 283.7MiB allocated

Rules

4 672×	`lower-*.f32`
4 660×	`lower-*.f64`
3 468×	`lower-fma.f32`
3 466×	`lower-fma.f64`
2 712×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	75
0	32	74
1	94	74
2	457	72
3	3950	72
0	8379	72

Stop Event

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

Counts

12 → 825

Calls

Call 1

Inputs
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(*.f64 x y)
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))

Outputs
(.f64 #s(literal 3 binary64) #s(approx ( y (- x 4/29)) (*.f64 x y)))
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(.f64 (.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(.f64 y (.f64 #s(literal 1 binary64) x))
(*.f64 y x)
(/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64))))
(.f64 y (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
(.f64 y (.f64 #s(literal 1 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(/.f64 (*.f64 (neg.f64 y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 1 binary64))
(/.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (pow.f64 y #s(literal -1 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) y) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (*.f64 x #s(literal 36/29 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 4/29 binary64) x))))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) y) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal -4/29 binary64))))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y)))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) y) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) y))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) y) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) y))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y))
(.f64 (.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal 4/29 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal 4/29 binary64)) y))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1 binary64)) y) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1 binary64)) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal -4/29 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) #s(literal -12/29 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal -12/29 binary64) (neg.f64 y)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal -12/29 binary64) y))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal -1 binary64)) #s(literal 12/29 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 y)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) #s(literal -12/29 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 y)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal -12/29 binary64) (neg.f64 y)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 y)) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal -12/29 binary64) y))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 y)) (pow.f64 y #s(literal -1 binary64)) #s(literal 12/29 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -12/29 binary64)))) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
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(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) x) (/.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal -12/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal -12/29 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal -12/29 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))

eval158.0ms (2.3%)

Memory: 12.1MiB live, 358.1MiB allocated
Compiler: Compiled 15 921 to 1 981 computations (87.6% saved)

prune108.0ms (1.6%)

Memory

-43.5MiB live, 288.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 047	2	1 049
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1 048	9	1 057

Accuracy

100.0%

Counts

1 057 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	51.7%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
▶	51.7%	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
✓	50.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	50.1%	(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 51 to 55 computations (-7.8% saved)

simplify5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
cost-diff	0	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
cost-diff	0	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))

Rules

28×	`lower-*.f32`
24×	`lower-*.f64`
12×	`*-commutative`
8×	`lower-+.f64`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
0	20	42
1	30	42
2	38	42
3	40	42
0	40	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)

Outputs
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)

localize46.0ms (0.7%)

Memory

-0.8MiB live, 116.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy	30.680618444412048	#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.25228500976844204	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy	30.89531719913026	#s(approx (- x 4/29) #s(literal -4/29 binary64))

Samples

37.0ms

256×

valid

Compiler

Compiled 36 to 17 computations (52.8% saved)

Precisions

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

const: 11.0ms (38% of total)

ival-div: 9.0ms (31.1% of total)

ival-mult: 4.0ms (13.8% of total)

ival-sub: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt -4/29 (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt -29/12 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -841/48 x) 29/12) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -24389/192 x) 841/48)) 29/12) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	y	@	inf	((* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	y	@	0	((* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	x	@	-inf	((* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
0.0ms	x	@	inf	((* (* 3 y) (- x 4/29)) (* 3 y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))

simplify112.0ms (1.6%)

Memory

-27.8MiB live, 128.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 924×	`lower-fma.f64`
6 924×	`lower-fma.f32`
2 334×	`lower-*.f64`
2 334×	`lower-*.f32`
2 020×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	498
1	215	498
2	478	498
3	971	498
4	2668	490
5	5093	490
0	8153	442

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))

Outputs
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(* 3 (* x y))
(.f64 (.f64 x y) #s(literal 3 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(.f64 (.f64 x y) #s(literal 3 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 3 (* x y))
(.f64 (.f64 x y) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(.f64 (.f64 x y) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)

rewrite143.0ms (2.1%)

Memory

27.6MiB live, 219.4MiB allocated

Rules

4 316×	`lower-/.f32`
4 314×	`lower-/.f64`
3 354×	`lower-*.f32`
3 350×	`lower-*.f64`
3 028×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
0	20	37
1	73	37
2	374	37
3	2776	37
0	8181	35

Stop Event

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

Counts

5 → 62

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 #s(literal 3 binary64) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))

Outputs
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 y (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 y))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 (/.f64 y #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 y (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) y) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (/.f64 y #s(literal -1 binary64)))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 y))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) y)) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) y)) (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 y #s(literal 1 binary64)) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) y)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal -1 binary64))))

eval16.0ms (0.2%)

Memory: 12.6MiB live, 50.9MiB allocated
Compiler: Compiled 1 119 to 192 computations (82.8% saved)

prune103.0ms (1.5%)

Memory

-10.7MiB live, 87.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	144	9	153

Accuracy

100.0%

Counts

153 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	51.7%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	51.7%	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
✓	50.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	50.1%	(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 126 to 96 computations (23.8% saved)

regimes25.0ms (0.4%)

Memory

-22.9MiB live, 53.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))

Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Calls

5 calls:

7.0ms	y
6.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
4.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	x
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.8%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes18.0ms (0.3%)

Memory

-6.6MiB live, 33.2MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))

Outputs

(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)

(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

Calls

5 calls:

7.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
98.1%	3	`x`
61.6%	5	`y`
82.2%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
98.1%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
98.1%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))

Outputs

(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))

(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

Calls

3 calls:

2.0ms	x
2.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
98.1%	3	`x`
98.1%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
98.1%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Outputs

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

Calls

3 calls:

2.0ms	x
1.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
1.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
98.0%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes9.0ms (0.1%)

Memory

-17.9MiB live, 19.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Calls

5 calls:

3.0ms	x
1.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms	y
1.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
51.8%	1	`y`
51.8%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
51.8%	1	`x`
51.8%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
51.8%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13780665917385776	0.9902530050406524
0.0ms	-0.30935323453986435	-0.13793103916104613

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13780665917385776	0.9902530050406524
0.0ms	-0.30935323453986435	-0.13793103916104613

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13780665917385776	0.9902530050406524
0.0ms	-0.30935323453986435	-0.13793103916104613

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify26.0ms (0.4%)

Memory

-5.4MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	164
1	45	164
2	54	164
3	60	164
4	65	164
5	67	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 #s(literal 3 binary64) x)) y) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx ( y (- x 4/29)) (.f64 x y)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx ( y (- x 4/29)) (.f64 y x)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

soundness1.5s (22%)

Memory

5.4MiB live, 442.2MiB allocated

Rules

4 904×	`lower-/.f64`
4 904×	`lower-/.f32`
4 434×	`lower-fma.f64`
4 434×	`lower-fma.f32`
4 408×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	242
1	112	242
2	290	242
3	614	242
4	1570	242
5	2670	242
6	3756	242
7	4250	242
8	4425	242
9	4445	242
10	4459	242
11	5193	242
12	5573	242
13	5799	242
14	6250	242
15	6612	242
16	6618	242
17	6630	242
18	6630	242
0	8644	212
0	53	1292
1	153	1292
2	397	1292
3	819	1292
4	2188	1292
5	3696	1292
6	4704	1292
7	5006	1292
8	5252	1292
9	5298	1292
10	5342	1292
11	5468	1292
12	5744	1292
13	6092	1292
14	6102	1292
15	6102	1292
16	6102	1292
0	8046	1160
0	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8918	14

Stop Event

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

Compiler

Compiled 183 to 97 computations (47% saved)

preprocess59.0ms (0.9%)

Memory: -2.9MiB live, 157.5MiB allocated
Remove: (negabs y)
Compiler: Compiled 268 to 114 computations (57.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	90
0	32	89
1	51	89
2	84	87
3	121	86
4	143	86
5	155	86
6	167	86
7	180	86
8	193	86
9	202	86
10	207	86
0	207	86

Iter	Nodes	Cost
0	21	90
0	32	89
1	51	89
2	84	87
3	121	86
4	143	86
5	155	86
6	167	86
7	180	86
8	193	86
9	202	86
10	207	86
0	207	86

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (16.9%)

explain127.0ms (1.9%)

preprocess60.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize26.0ms (0.4%)

series5.0ms (0.1%)

simplify200.0ms (2.9%)

rewrite322.0ms (4.7%)

eval75.0ms (1.1%)

prune81.0ms (1.2%)

simplify6.0ms (0.1%)

localize158.0ms (2.3%)

series17.0ms (0.2%)

simplify243.0ms (3.5%)

rewrite235.0ms (3.4%)

eval216.0ms (3.2%)

prune145.0ms (2.1%)

simplify10.0ms (0.1%)

localize149.0ms (2.2%)

series12.0ms (0.2%)

simplify609.0ms (8.9%)

rewrite629.0ms (9.2%)

eval158.0ms (2.3%)

prune108.0ms (1.6%)

simplify5.0ms (0.1%)

localize46.0ms (0.7%)

series6.0ms (0.1%)

simplify112.0ms (1.6%)

rewrite143.0ms (2.1%)

eval16.0ms (0.2%)

prune103.0ms (1.5%)

regimes25.0ms (0.4%)

regimes18.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify26.0ms (0.4%)

soundness1.5s (22%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	90
0	32	89
1	51	89
2	84	87
3	121	86
4	143	86
5	155	86
6	167	86
7	180	86
8	193	86
9	202	86
10	207	86
0	207	86