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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

-38.6MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.0s (12.9%)

Memory

49.7MiB live, 1 031.5MiB allocated

Samples

705.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

ival-sub: 210.0ms (46.3% of total)

ival-mult: 140.0ms (30.8% of total)

ival-div: 86.0ms (19% of total)

exact: 10.0ms (2.2% of total)

ival-true: 5.0ms (1.1% of total)

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

Bogosity

explain140.0ms (1.8%)

Memory

-32.6MiB live, 145.4MiB 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

40.0ms	478×	0	valid
18.0ms	10×	1	valid
4.0ms	24×	2	valid

Compiler

Compiled 73 to 31 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 23.0ms (71.8% of total)

ival-div: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

adjust: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

preprocess59.0ms (0.8%)

Memory

4.1MiB live, 48.6MiB 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 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Symmetry

(negabs y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal 3 binary64) #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

localize29.0ms (0.4%)

Memory

-6.6MiB live, 32.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy	0.09765625	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.171875	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

19.0ms	239×	0	valid
2.0ms	12×	2	valid
0.0ms	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 (41.7% of total)

ival-div: 2.0ms (27.8% of total)

ival-sub: 1.0ms (13.9% 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

4.2MiB live, 4.2MiB 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 -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 (* 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) (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 (* -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 (* 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 (* 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 (* 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 -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 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 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

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* (- x (/ 16 116)) 3) y)
1.0ms	y	@	inf	(* (* (- x (/ 16 116)) 3) y)
0.0ms	x	@	-inf	(* (* (- x (/ 16 116)) 3) y)
0.0ms	x	@	inf	(* (- x (/ 16 116)) 3)
0.0ms	x	@	0	(* (* (- x (/ 16 116)) 3) y)

simplify297.0ms (3.8%)

Memory

-1.9MiB live, 149.9MiB 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	284
1	112	242
2	290	242
3	614	242
4	1569	242
5	2629	242
6	3705	242
7	4196	242
8	4371	242
9	4391	242
10	4405	242
11	5139	242
12	5519	242
13	5745	242
14	6196	242
15	6558	242
16	6564	242
17	6576	242
18	6576	242
0	8629	212

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite494.0ms (6.3%)

Memory

8.0MiB live, 327.2MiB 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 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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)))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (.f64 x x)) (.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 4/29 binary64) x)) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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)))))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -262144/14507145975869 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.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)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (.f64 (.f64 x x) #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -262144/14507145975869 binary64)) (.f64 (fma.f64 #s(literal 4/29 binary64) x (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 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 64/24389 binary64)) #s(literal 4096/594823321 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.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)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (.f64 (fma.f64 #s(literal 4/29 binary64) x (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 1 binary64) (fma.f64 x (*.f64 x x) #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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (+.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 x (neg.f64 x) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x (neg.f64 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)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #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)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))

eval134.0ms (1.7%)

Memory: -12.0MiB live, 108.4MiB allocated
Compiler: Compiled 16 483 to 1 806 computations (89% saved)

prune136.0ms (1.7%)

Memory

17.3MiB live, 178.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	544	9	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	9	554

Accuracy

100.0%

Counts

554 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)))
	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
▶	52.0%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
	50.3%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 158 to 116 computations (26.6% saved)

simplify13.0ms (0.2%)

Memory

-15.2MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
cost-diff	896	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
cost-diff	0	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
cost-diff	128	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
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	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
cost-diff	128	(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))

Rules

100×	`lower-*.f32`
86×	`lower-*.f64`
70×	`lower-/.f32`
66×	`lower-/.f64`
64×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	103
0	39	100
1	56	96
2	80	95
3	145	95
4	168	95
5	183	95
6	195	95
7	208	95
8	217	95
9	222	95
0	222	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize229.0ms (2.9%)

Memory

-7.9MiB live, 110.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.30078125	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
accuracy	0.3625692319532987	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
accuracy	0.0078125	(+.f64 x #s(literal -4/29 binary64))
accuracy	0.078125	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
accuracy	0.25	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.171875	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
accuracy	32.130888967220685	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
accuracy	0.171875	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	30.817784196353617	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.08984375	(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
accuracy	0.171875	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)

Samples

84.0ms	239×	0	valid
14.0ms	12×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 106 to 23 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 52.0ms (69.3% of total)

ival-mult: 11.0ms (14.7% of total)

const: 7.0ms (9.3% of total)

ival-add: 2.0ms (2.7% of total)

adjust: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

14 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

simplify277.0ms (3.6%)

Memory

-0.2MiB live, 162.7MiB 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	1546
1	274	1336
2	638	1336
3	1289	1336
4	3496	1328
5	5867	1328
6	7980	1328
0	8021	1181

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

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

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

rewrite372.0ms (4.8%)

Memory

2.5MiB live, 317.3MiB allocated

Rules

3 604×	`lower-*.f32`
3 590×	`lower-*.f64`
3 034×	`lower-fma.f32`
3 032×	`lower-fma.f64`
2 700×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	85
0	39	82
1	109	78
2	540	77
3	5046	77
0	8279	77

Stop Event

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

Counts

14 → 1 264

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal -12/29 binary64) (.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal -12/29 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -12/29 binary64) (.f64 (.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64))) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -12/29 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 144/841 binary64) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -12/29 binary64))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal -12/29 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -36/29 binary64) #s(literal 144/841 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x #s(literal -12/29 binary64))
(neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 144/841 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)) #s(literal -192/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64))))
(/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))
(/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)))
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(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))) (exp.f64 (log.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))))
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(pow.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 144/841 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)) #s(literal -192/24389 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))))
(*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal 1 binary64))
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(.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) #s(literal 1 binary64)))
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(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))
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(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)) #s(literal -192/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
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(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) (sqrt.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (fma.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)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)))) (fma.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)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 x #s(literal -36/29 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -36/29 binary64) #s(literal 144/841 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)) #s(literal -192/24389 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)) (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (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)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)) #s(literal -192/24389 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal 16/841 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (+.f64 x #s(literal -4/29 binary64)))))
(*.f64 (exp.f64 (log.f64 (+.f64 x #s(literal -4/29 binary64)))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))
(.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))

eval341.0ms (4.4%)

Memory: 3.7MiB live, 327.8MiB allocated
Compiler: Compiled 23 276 to 2 178 computations (90.6% saved)

prune170.0ms (2.2%)

Memory

-22.4MiB live, 325.0MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 498	4	1 502
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 502	9	1 511

Accuracy

100.0%

Counts

1 511 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
▶	51.7%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
▶	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
▶	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	51.8%	(.f64 (.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	52.0%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	50.3%	(.f64 #s(approx ( (+ x -4/29) y) (*.f64 x y)) #s(literal 3 binary64))

Compiler

Compiled 117 to 82 computations (29.9% saved)

simplify8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

84×	`lower-*.f32`
70×	`lower-*.f64`
36×	`lower-fma.f32`
34×	`lower-fma.f64`
28×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	101
0	35	100
1	52	100
2	85	100
3	106	98
4	111	98
0	111	98

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

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

localize68.0ms (0.9%)

Memory

19.7MiB live, 135.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.0078125	(+.f64 x #s(literal -4/29 binary64))
accuracy	0.21875	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
accuracy	0.30078125	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
accuracy	30.625568548993478	#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
accuracy	0.078125	(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
accuracy	0.25	(.f64 (.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy	30.803727536422393	#s(approx (+ x -4/29) #s(literal -4/29 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.25	(.f64 #s(approx ( (+ x -4/29) y) (*.f64 x y)) #s(literal 3 binary64))
accuracy	31.69831529178075	#s(approx (* (+ x -4/29) y) (*.f64 x y))
accuracy	0.00390625	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.171875	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

40.0ms	239×	0	valid
4.0ms	12×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 89 to 20 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.2% of total)

const: 9.0ms (34.4% of total)

ival-div: 3.0ms (11.5% of total)

ival-add: 2.0ms (7.6% of total)

adjust: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-15.1MiB live, 22.7MiB allocated

Counts

13 → 252

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

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (+ x -4/29) y)
0.0ms	y	@	0	(* x y)
0.0ms	x	@	0	(* x y)
0.0ms	y	@	inf	(* x y)
0.0ms	x	@	inf	(* x y)

simplify272.0ms (3.5%)

Memory

12.8MiB live, 220.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 242×	`lower-fma.f64`
7 242×	`lower-fma.f32`
2 594×	`lower-*.f64`
2 594×	`lower-*.f32`
2 174×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1570
1	274	1360
2	638	1360
3	1291	1360
4	3507	1352
5	5852	1352
6	7945	1352
0	8038	1232

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

rewrite303.0ms (3.9%)

Memory

-29.5MiB live, 408.0MiB allocated

Rules

3 816×	`lower-*.f32`
3 802×	`lower-*.f64`
3 482×	`lower-/.f32`
3 480×	`lower-/.f64`
3 098×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	85
0	35	84
1	95	84
2	449	84
3	3366	84
0	8146	84

Stop Event

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

Counts

13 → 618

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

Outputs
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))) (neg.f64 (fma.f64 x x #s(literal 16/841 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) x) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -4/29 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) (fma.f64 x x #s(literal -16/841 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -64/24389 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)) (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.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 (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (.f64 x x) #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 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (-.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -64/24389 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 16/841 binary64) #s(literal 256/707281 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))

eval270.0ms (3.5%)

Memory: 11.7MiB live, 212.0MiB allocated
Compiler: Compiled 14 097 to 1 613 computations (88.6% saved)

prune582.0ms (7.5%)

Memory

9.8MiB live, 206.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	865	1	866
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	865	10	875

Accuracy

100.0%

Counts

875 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	51.7%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	51.8%	(.f64 (.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	51.9%	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
✓	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	52.0%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	50.3%	(.f64 #s(approx ( (+ x -4/29) y) (*.f64 x y)) #s(literal 3 binary64))

Compiler

Compiled 78 to 55 computations (29.5% saved)

simplify6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
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	50
0	21	50
1	30	50
2	37	50
3	39	50
0	39	48

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

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

localize440.0ms (5.6%)

Memory

2.6MiB live, 81.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.28125	(/.f64 #s(literal 1/3 binary64) x)
accuracy	0.30078125	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	32.241020431953494	#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.21875	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
accuracy	30.803727536422393	#s(approx (+ x -4/29) #s(literal -4/29 binary64))

Samples

428.0ms

256×

valid

Compiler

Compiled 40 to 17 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-div: 199.0ms (92.8% of total)

const: 9.0ms (4.2% of total)

ival-mult: 4.0ms (1.9% of total)

ival-add: 2.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series200.0ms (2.6%)

Memory

-30.7MiB live, 8.3MiB allocated

Counts

6 → 96

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

Calls

24 calls:

Time	Variable		Point	Expression
197.0ms	x	@	-inf	(/ 1/3 x)
0.0ms	x	@	0	(/ 1/3 x)
0.0ms	x	@	inf	(/ 1/3 x)
0.0ms	y	@	0	(* (* 3 y) (+ x -4/29))
0.0ms	y	@	inf	(* (* 3 y) (+ x -4/29))

simplify193.0ms (2.5%)

Memory

5.7MiB live, 329.3MiB 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	534
1	215	534
2	480	534
3	970	534
4	2660	526
5	5092	526
0	8109	478

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

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

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

rewrite236.0ms (3%)

Memory

26.6MiB live, 531.9MiB allocated

Rules

5 106×	`lower-*.f32`
5 102×	`lower-*.f64`
4 254×	`lower-fma.f64`
4 254×	`lower-fma.f32`
3 430×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	21	44
1	81	44
2	410	44
3	2951	44
0	8937	42

Stop Event

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

Counts

6 → 80

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

Outputs
(.f64 #s(literal 3 binary64) (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(.f64 y (.f64 #s(literal 3 binary64) #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (+ x -4/29) #s(literal -4/29 binary64))) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)))
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) y)) (.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 y))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y #s(literal -1 binary64)))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(pow.f64 (/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y))) #s(literal -1 binary64))
(.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (/.f64 y #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) y)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 y))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(pow.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))

eval49.0ms (0.6%)

Memory: -54.5MiB live, 97.4MiB allocated
Compiler: Compiled 1 493 to 218 computations (85.4% saved)

prune22.0ms (0.3%)

Memory

18.1MiB live, 57.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	174	10	184

Accuracy

100.0%

Counts

184 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	51.7%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	51.8%	(.f64 (.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	51.9%	(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
✓	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	52.0%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	50.3%	(.f64 #s(approx ( (+ x -4/29) y) (*.f64 x y)) #s(literal 3 binary64))

Compiler

Compiled 178 to 95 computations (46.6% saved)

regimes26.0ms (0.3%)

Memory

9.8MiB live, 50.5MiB allocated

Counts

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

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

Calls

5 calls:

7.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
5.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	y
4.0ms	x
4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.7%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.7%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory

5.3MiB live, 43.6MiB allocated

Counts

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

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

Calls

5 calls:

6.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
4.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	y
3.0ms	x
3.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.7%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.7%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes15.0ms (0.2%)

Memory

-5.5MiB live, 33.1MiB 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 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(approx ( (+ x -4/29) y) (*.f64 x y)) #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.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)) y) #s(literal 3 binary64))

Outputs

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

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

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

Calls

5 calls:

4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms	y
2.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
2.0ms	x
2.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.7%	3	`x`
62.6%	5	`y`
79.3%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.7%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.7%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes8.0ms (0.1%)

Memory

-24.2MiB live, 14.4MiB 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 #s(literal 3 binary64) (*.f64 x y)))

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

Outputs

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

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
2.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.7%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes7.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB 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:

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

Results

Accuracy	Segments	Branch
52.0%	1	`y`
52.0%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
52.0%	1	`x`
52.0%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
52.0%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.1379310344808273	343.0409927432029
0.0ms	-0.5306928455825433	-0.1379525793442328

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.1379310344808273	343.0409927432029
0.0ms	-0.5306928455825433	-0.1379525793442328

Compiler

Compiled 14 to 14 computations (0% saved)

simplify12.0ms (0.2%)

Memory

-26.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	122
1	43	122
2	52	122
3	58	122
4	63	122
5	65	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
(*.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 -1/2 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 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 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 #s(literal 3 binary64) (.f64 x y)))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
(*.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 -1/2 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 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) (.f64 y #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64)))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 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 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64))) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(.f64 y #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)))

soundness1.3s (16.3%)

Memory

14.2MiB live, 407.9MiB 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	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8918	14
0	42	284
1	112	242
2	290	242
3	614	242
4	1569	242
5	2629	242
6	3705	242
7	4196	242
8	4371	242
9	4391	242
10	4405	242
11	5139	242
12	5519	242
13	5745	242
14	6196	242
15	6558	242
16	6564	242
17	6576	242
18	6576	242
0	8629	212

Stop Event

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

Compiler

Compiled 154 to 76 computations (50.6% saved)

preprocess54.0ms (0.7%)

Memory: 24.8MiB live, 144.9MiB allocated
Remove: (negabs y)
Compiler: Compiled 260 to 122 computations (53.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	103
0	39	100
1	56	96
2	80	95
3	145	95
4	168	95
5	183	95
6	195	95
7	208	95
8	217	95
9	222	95
0	222	95

Iter	Nodes	Cost
0	26	103
0	39	100
1	56	96
2	80	95
3	145	95
4	168	95
5	183	95
6	195	95
7	208	95
8	217	95
9	222	95
0	222	95

start0.0ms (0%)

analyze1.0ms (0%)

sample1.0s (12.9%)

explain140.0ms (1.8%)

preprocess59.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize29.0ms (0.4%)

series5.0ms (0.1%)

simplify297.0ms (3.8%)

rewrite494.0ms (6.3%)

eval134.0ms (1.7%)

prune136.0ms (1.7%)

simplify13.0ms (0.2%)

localize229.0ms (2.9%)

series13.0ms (0.2%)

simplify277.0ms (3.6%)

rewrite372.0ms (4.8%)

eval341.0ms (4.4%)

prune170.0ms (2.2%)

simplify8.0ms (0.1%)

localize68.0ms (0.9%)

series11.0ms (0.1%)

simplify272.0ms (3.5%)

rewrite303.0ms (3.9%)

eval270.0ms (3.5%)

prune582.0ms (7.5%)

simplify6.0ms (0.1%)

localize440.0ms (5.6%)

series200.0ms (2.6%)

simplify193.0ms (2.5%)

rewrite236.0ms (3%)

eval49.0ms (0.6%)

prune22.0ms (0.3%)

regimes26.0ms (0.3%)

regimes20.0ms (0.3%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness1.3s (16.3%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	103
0	39	100
1	56	96
2	80	95
3	145	95
4	168	95
5	183	95
6	195	95
7	208	95
8	217	95
9	222	95
0	222	95