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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 (13.5%)

Memory

35.4MiB live, 939.3MiB allocated

Samples

672.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 172.0ms (46.9% of total)

ival-div: 106.0ms (28.9% of total)

ival-sub: 69.0ms (18.8% of total)

exact: 10.0ms (2.7% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain230.0ms (3%)

Memory

-27.0MiB live, 131.9MiB 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

64.0ms	478×	0	valid
3.0ms	18×	2	valid
2.0ms	16×	1	valid

Compiler

Compiled 73 to 31 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 42.0ms (78.6% of total)

ival-mult: 7.0ms (13.1% of total)

ival-sub: 3.0ms (5.6% of total)

adjust: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess88.0ms (1.2%)

Memory

13.6MiB live, 49.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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

localize63.0ms (0.8%)

Memory

1.2MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy	0	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy	0.07421875	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.16015625	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

53.0ms	239×	0	valid
1.0ms	9×	2	valid
1.0ms	8×	1	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.5% of total)

ival-sub: 3.0ms (33.5% of total)

ival-div: 2.0ms (22.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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	@	-inf	(* (- x (/ 16 116)) 3)

simplify401.0ms (5.3%)

Memory

-36.9MiB live, 136.2MiB 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))

rewrite436.0ms (5.8%)

Memory

6.7MiB live, 357.3MiB 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)))

eval136.0ms (1.8%)

Memory: 11.9MiB live, 135.8MiB allocated
Compiler: Compiled 16 483 to 1 806 computations (89% saved)

prune149.0ms (2%)

Memory

-0.4MiB live, 286.5MiB 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
	99.6%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
	82.6%	(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
▶	99.4%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
▶	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	51.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
▶	50.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 168 to 120 computations (28.6% saved)

simplify12.0ms (0.2%)

Memory

-13.1MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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 #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	(*.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	(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

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	98
0	35	95
1	52	91
2	78	90
3	119	90
4	159	90
5	174	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize163.0ms (2.2%)

Memory

2.8MiB live, 119.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
accuracy	0.3203125	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
accuracy	0	(+.f64 x #s(literal -4/29 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.2578125	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.16015625	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
accuracy	31.074526204011548	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
accuracy	0.16015625	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	31.99425146048141	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.16015625	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

96.0ms	8×	1	valid
38.0ms	239×	0	valid
3.0ms	9×	2	valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 99.0ms (81.8% of total)

ival-mult: 10.0ms (8.3% of total)

const: 7.0ms (5.8% of total)

ival-add: 2.0ms (1.7% of total)

adjust: 1.0ms (0.8% of total)

ival-sub: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

12 → 204

Calls

Call 1

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

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>) () ())) ())
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#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>) () ())) ())

Calls

51 calls:

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

simplify205.0ms (2.7%)

Memory

-18.7MiB live, 260.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 420×	`lower-fma.f64`
5 420×	`lower-fma.f32`
2 248×	`lower--.f64`
2 248×	`lower--.f32`
2 198×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1380
1	235	1170
2	535	1170
3	1090	1170
4	2900	1162
5	5306	1162
0	8117	1024

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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)))
-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
(- 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)
(* 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))

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)))
-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)))
-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 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))
(* 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 (+.f64 #s(literal 4/87 binary64) (/.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 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x))) x)) x)

rewrite216.0ms (2.9%)

Memory

23.1MiB live, 375.4MiB allocated

Rules

3 468×	`lower-*.f32`
3 456×	`lower-*.f64`
2 958×	`lower-fma.f32`
2 956×	`lower-fma.f64`
2 526×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	76
0	35	73
1	105	69
2	532	68
3	4870	68
0	8073	68

Stop Event

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

Counts

12 → 879

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -12/29 binary64) y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y))))
(+.f64 (.f64 (neg.f64 y) #s(literal 12/29 binary64)) (.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64))) (*.f64 (neg.f64 y) #s(literal 12/29 binary64)))
(+.f64 (.f64 #s(literal 12/29 binary64) (neg.f64 y)) (.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y)) (*.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
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(exp.f64 (fma.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal -12/29 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))
(-.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 144/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (/.f64 (.f64 x #s(literal -36/29 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (.f64 #s(literal 12/29 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x 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 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) #s(literal 12/29 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))
(/.f64 (fma.f64 x (.f64 x #s(literal 9 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 #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))
(/.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (neg.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))))) (.f64 (fma.f64 x (.f64 (.f64 x 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)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 1728/24389 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 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 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))
(/.f64 (.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 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 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 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (/.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))))
(/.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 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)))))) (.f64 (fma.f64 x (.f64 (.f64 x 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)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 81 binary64)))))
(/.f64 (.f64 #s(literal 1 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 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 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 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x (.f64 (.f64 x 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))))
(pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1 binary64))
(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 (*.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 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))))
(.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x 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)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x 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 (/.f64 #s(literal -1 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 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (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)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 #s(literal -12/29 binary64) (.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -2985984/594823321 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) (fma.f64 (.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64))))
(.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) #s(literal -20736/707281 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 144/841 binary64)))
(.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) #s(literal -5159780352/14507145975869 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal 2985984/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -46656/24389 binary64))))
(.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -2985984/594823321 binary64))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1728/24389 binary64)))

eval259.0ms (3.4%)

Memory: -20.2MiB live, 260.4MiB allocated
Compiler: Compiled 20 221 to 1 813 computations (91% saved)

prune154.0ms (2%)

Memory

28.0MiB live, 227.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 259	3	1 262
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	1 262	9	1 271

Accuracy

100.0%

Counts

1 271 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
▶	51.6%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
▶	49.9%	(/.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)
✓	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	50.1%	(.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
✓	51.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	50.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 119 to 82 computations (31.1% saved)

simplify20.0ms (0.3%)

Memory

-4.7MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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 (/ 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	(*.f64 #s(literal 3 binary64) y)
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)) (.f64 #s(literal 3 binary64) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x y))
cost-diff	0	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
cost-diff	0	(fma.f64 x x #s(literal -16/841 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))

Rules

370×	`lower-*.f32`
358×	`lower-*.f64`
206×	`lower-fma.f32`
204×	`lower-fma.f64`
154×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	134
0	49	134
1	75	134
2	117	126
3	218	126
4	296	126
5	357	126
6	424	126
7	473	126
8	478	126
0	478	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
(fma.f64 x x #s(literal -16/841 binary64))
x
#s(literal -16/841 binary64)
y
#s(literal 3 binary64)
(+.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 binary64)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
(.f64 #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))
#s(literal -4/29 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(/.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 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 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(/.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
(.f64 y (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
(fma.f64 x x #s(literal -16/841 binary64))
x
#s(literal -16/841 binary64)
y
#s(literal 3 binary64)
(+.f64 #s(literal 4/29 binary64) x)
(+.f64 x #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
(.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 y (.f64 #s(literal 3 binary64) #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)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
(/.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 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

localize98.0ms (1.3%)

Memory

-23.1MiB live, 174.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.33203125	(/.f64 #s(literal 1/3 binary64) x)
accuracy	31.21862573435187	#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.3203125	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
accuracy	31.819754926706285	#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.2578125	(.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
accuracy	31.98705041270396	#s(approx (+ x -4/29) #s(literal -4/29 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.203125	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	30.80745044645655	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
accuracy	0.00390625	(fma.f64 x x #s(literal -16/841 binary64))
accuracy	0.23046875	(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
accuracy	2.6604933340979837	(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
accuracy	8.598654106216815	(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))

Samples

69.0ms

256×

valid

Compiler

Compiled 120 to 34 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

const: 22.0ms (42.5% of total)

ival-mult: 15.0ms (29% of total)

ival-div: 9.0ms (17.4% of total)

ival-add: 5.0ms (9.7% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series20.0ms (0.3%)

Memory

34.8MiB live, 34.8MiB allocated

Counts

15 → 288

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) (patch (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y)) (patch (.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (.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 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<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 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 (* -12/29 y) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -48/841 y) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -48/841 y) (* 3 (* (pow x 2) y))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -48/841 y) (* 3 (* (pow x 2) y))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -48/841 y) (* 3 (* (pow x 2) y))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -12/29 y) (taylor 0 x) (#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 (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#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 (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#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 (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#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 (* 3 (* x y)) (taylor inf x) (#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 (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#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 (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#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 (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#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 (* 3 (* x y)) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 -29/12 (taylor 0 x) (#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 (- (* -841/48 x) 29/12) (taylor 0 x) (#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 (- (* x (- (* -24389/192 x) 841/48)) 29/12) (taylor 0 x) (#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 (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) (taylor 0 x) (#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 (/ 1/3 x) (taylor inf x) (#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 (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor inf x) (#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 (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) (taylor inf x) (#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 (/ (+ 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)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#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 (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#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 (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#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 (* -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)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 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

72 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* 3 (* x y))
1.0ms	y	@	0	(/ (* (* (+ (* x x) -16/841) y) 3) (+ 4/29 x))
1.0ms	x	@	0	(/ (* (* (+ (* x x) -16/841) y) 3) (+ 4/29 x))
1.0ms	y	@	inf	(/ (* (* (+ (* x x) -16/841) y) 3) (+ 4/29 x))
1.0ms	x	@	inf	(/ (* (* (+ (* x x) -16/841) y) 3) (+ 4/29 x))

simplify1.1s (15.1%)

Memory

-15.9MiB live, 258.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 306×	`lower-fma.f64`
9 306×	`lower-fma.f32`
4 458×	`lower-*.f64`
4 458×	`lower-*.f32`
2 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	2036
1	288	1808
2	672	1808
3	1442	1808
4	4987	1792
0	8420	1624

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 286

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

rewrite409.0ms (5.4%)

Memory

-12.5MiB live, 470.0MiB allocated

Rules

4 510×	`lower-*.f32`
4 498×	`lower-*.f64`
3 992×	`lower-/.f32`
3 984×	`lower-/.f64`
3 820×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	115
0	49	115
1	172	110
2	914	102
0	8185	100

Stop Event

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

Counts

15 → 508

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
(fma.f64 x x #s(literal -16/841 binary64))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 x y)
(.f64 #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 #s(literal 3 binary64) y)
(/.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 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 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal -16/841 binary64) y)) (.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 y (*.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 y (.f64 x x))) (.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal -16/841 binary64) y)))
(+.f64 (.f64 (/.f64 (.f64 y (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))) #s(literal 16/841 binary64)) (.f64 (/.f64 (.f64 y (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))) (*.f64 x (+.f64 x #s(literal -4/29 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 y (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))) (.f64 x (+.f64 x #s(literal -4/29 binary64)))) (.f64 (/.f64 (.f64 y (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))) #s(literal 16/841 binary64)))
(+.f64 (.f64 (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) #s(literal 4/29 binary64)) (.f64 (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (neg.f64 x)))
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64))) (.f64 x (.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 #s(literal -16/841 binary64) y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))) (.f64 (.f64 y (*.f64 x x)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(+.f64 (.f64 (.f64 y (.f64 x x)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))) (.f64 (*.f64 #s(literal -16/841 binary64) y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(+.f64 (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 y (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)))) (.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 y (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)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 y (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)))) (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 y (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)))))
(+.f64 (.f64 #s(literal 4/29 binary64) (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64))))) (.f64 (neg.f64 x) (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (+.f64 x #s(literal -4/29 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 4/29 binary64) (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (.f64 (neg.f64 x) (.f64 (*.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64))))))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 (.f64 y (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))) (.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 y (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 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 y (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))) (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 y (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 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal -16/841 binary64) y) (.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 y (.f64 x x))))
(fma.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 y (.f64 x x)) (.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal -16/841 binary64) y)))
(fma.f64 (.f64 #s(literal -16/841 binary64) y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 (.f64 y (.f64 x x)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(fma.f64 (.f64 y (.f64 x x)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 (.f64 #s(literal -16/841 binary64) y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (.f64 y (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))) #s(literal 16/841 binary64) (.f64 (/.f64 (.f64 y (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))) (.f64 x (+.f64 x #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (.f64 y (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))) (.f64 x (+.f64 x #s(literal -4/29 binary64))) (.f64 (/.f64 (.f64 y (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))) #s(literal 16/841 binary64)))
(fma.f64 (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) #s(literal 4/29 binary64) (.f64 (.f64 (*.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (neg.f64 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 y #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 y (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))))
(/.f64 (.f64 y (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -3 binary64))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))))
(/.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 3 binary64)) (.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))
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(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64))) (*.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 x x #s(literal 16/841 binary64))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 (/.f64 (.f64 y (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))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))
(/.f64 (.f64 (.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -48/841 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 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (*.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -3 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -3 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (.f64 (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (.f64 (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (.f64 (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64)))) (.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 x x #s(literal 16/841 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal -4/29 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -256/707281 binary64)))) (.f64 (-.f64 #s(literal -4/29 binary64) x) (fma.f64 x x #s(literal 16/841 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
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eval150.0ms (2%)

Memory: 14.0MiB live, 255.7MiB allocated
Compiler: Compiled 12 357 to 1 420 computations (88.5% saved)

prune92.0ms (1.2%)

Memory

10.9MiB live, 287.9MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	791	3	794
Fresh	0	0	0
Picked	2	3	5
Done	1	3	4
Total	794	9	803

Accuracy

100.0%

Counts

803 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
✓	51.6%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	49.9%	(/.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)
▶	50.1%	(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	51.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	50.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
✓	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 74 to 49 computations (33.8% saved)

simplify14.0ms (0.2%)

Memory

-17.9MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* x x) -16/841) (*.f64 x x))
cost-diff	0	(.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
cost-diff	0	#s(approx (+ x -4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
cost-diff	0	(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Rules

150×	`lower-*.f32`
136×	`lower-*.f64`
56×	`*-commutative`
38×	`lower-fma.f64`
38×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	108
0	36	108
1	58	108
2	98	108
3	138	108
4	161	108
5	162	108
0	162	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
y
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64))
(.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y)
#s(approx (+ (* x x) -16/841) (*.f64 x x))
(*.f64 x x)
x
y
#s(literal 3 binary64)
(+.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 binary64)

Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
y
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x)))
(.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y)
(.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x)))
#s(approx (+ (* x x) -16/841) (*.f64 x x))
(*.f64 x x)
x
y
#s(literal 3 binary64)
(+.f64 #s(literal 4/29 binary64) x)
(+.f64 x #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

localize70.0ms (0.9%)

Memory

32.8MiB live, 143.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64))
accuracy	2.6604933340979837	(.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y)
accuracy	8.598654106216815	(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
accuracy	31.088345207058442	#s(approx (+ (* x x) -16/841) (*.f64 x x))
accuracy	0.046875	(*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
accuracy	0.25	(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
accuracy	31.98705041270396	#s(approx (+ x -4/29) #s(literal -4/29 binary64))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.234375	(.f64 (.f64 y #s(literal 3 binary64)) x)
accuracy	30.80745044645655	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Samples

51.0ms

256×

valid

Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 13.0ms (38% of total)

const: 12.0ms (35% of total)

ival-div: 4.0ms (11.7% of total)

ival-add: 4.0ms (11.7% of total)

ival-sub: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.6%)

Memory

-40.4MiB live, 14.4MiB allocated

Counts

10 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) (patch (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (patch #s(approx (+ x -4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (patch (/.f64 (.f64 (.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) y) (patch (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) -16/841) (.f64 x x)) (patch #s(approx (+ ( x x) -16/841) (*.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -16/841) (.f64 x x)) (patch #s(approx (+ ( x x) -16/841) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -16/841) (.f64 x x)) (patch #s(approx (+ ( x x) -16/841) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -16/841) (.f64 x x)) (patch #s(approx (+ ( x x) -16/841) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -16/841) (.f64 x x)) (patch #s(approx (+ ( x x) -16/841) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -16/841) (.f64 x x)) (patch #s(approx (+ ( x x) -16/841) (*.f64 x x)) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* y (+ x -4/29))
0.0ms	x	@	-inf	(* y (+ x -4/29))
0.0ms	x	@	0	(* y (+ x -4/29))
0.0ms	y	@	-inf	(* (+ (* x x) -16/841) y)
0.0ms	y	@	inf	(* (* y 3) x)

simplify210.0ms (2.8%)

Memory

5.7MiB live, 357.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 130×	`lower-fma.f64`
8 130×	`lower-fma.f32`
3 566×	`lower-*.f64`
3 566×	`lower-*.f32`
1 936×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1414
1	203	1270
2	536	1270
3	1180	1270
4	3492	1270
5	7219	1270
0	8086	1156

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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)))))
(* 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)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 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)))))
(* 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 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)))))
-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)))
(* -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 (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* 3 (* y (- (pow x 2) 16/841)))
(* -16/841 y)
(+ (* -16/841 y) (* (pow x 2) y))
(+ (* -16/841 y) (* (pow x 2) y))
(+ (* -16/841 y) (* (pow x 2) y))
(* (pow x 2) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(* (pow x 2) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
(* y (- (pow x 2) 16/841))
-16/841
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))

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)))
(* 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)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 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))
(* 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 #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 (- 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 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)))
-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))
(* -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 (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* -48/841 y)
(*.f64 y #s(literal -48/841 binary64))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)))
(* -16/841 y)
(*.f64 y #s(literal -16/841 binary64))
(+ (* -16/841 y) (* (pow x 2) y))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(+ (* -16/841 y) (* (pow x 2) y))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(+ (* -16/841 y) (* (pow x 2) y))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* (pow x 2) y)
(.f64 y (.f64 x x))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* (pow x 2) y)
(.f64 y (.f64 x x))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
(* y (- (pow x 2) 16/841))
(*.f64 y (fma.f64 x x #s(literal -16/841 binary64)))
-16/841
#s(literal -16/841 binary64)
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))

rewrite241.0ms (3.2%)

Memory

27.8MiB live, 434.2MiB allocated

Rules

4 596×	`lower-*.f32`
4 582×	`lower-*.f64`
3 272×	`lower-fma.f64`
3 272×	`lower-fma.f32`
2 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
0	36	92
1	113	92
2	590	92
3	5443	92
0	8106	87

Stop Event

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

Counts

10 → 187

Calls

Call 1

Inputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64))
(.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y)
#s(approx (+ (* x x) -16/841) (*.f64 x x))

Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.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 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) #s(literal 16/841 binary64)) (.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (*.f64 x (+.f64 x #s(literal -4/29 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 x (+.f64 x #s(literal -4/29 binary64)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) #s(literal 16/841 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 4/29 binary64)) (.f64 (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) (neg.f64 x)))
(+.f64 (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))) (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))))
(+.f64 (.f64 #s(literal 4/29 binary64) (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64)))) (.f64 (neg.f64 x) (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x)))
(fma.f64 #s(literal 4/29 binary64) (/.f64 (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) (.f64 (neg.f64 x) (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64)))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))))
(fma.f64 (.f64 x (+.f64 x #s(literal -4/29 binary64))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) #s(literal 16/841 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (*.f64 x (+.f64 x #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 x (+.f64 x #s(literal -4/29 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) #s(literal 16/841 binary64)))
(fma.f64 (/.f64 (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 4/29 binary64) (.f64 (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x))))))
(/.f64 (.f64 y #s(approx (+ ( x x) -16/841) (.f64 x x))) (.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) (.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x)))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (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 (/.f64 (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)))
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(.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x)))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))) (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 #s(literal 4/29 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) y) (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(approx (+ (* x x) -16/841) (.f64 x x))) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x)))) y)
(.f64 (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (.f64 x x))) (neg.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (*.f64 x x))) (fma.f64 x x #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) #s(approx (+ ( x x) -16/841) (.f64 x x)))) (.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) #s(approx (+ ( x x) -16/841) (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)) #s(approx (+ (* x x) -16/841) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)) (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) #s(approx (+ (* x x) -16/841) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)) (.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)) (.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) #s(approx (+ ( x x) -16/841) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)) (.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.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)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)) (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)) #s(approx (+ ( x x) -16/841) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) x)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) -16/841) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal -3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y #s(approx (+ (* x x) -16/841) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 y (.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1/3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) (neg.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))))
(neg.f64 (.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 y #s(approx (+ (* x x) -16/841) (*.f64 x x))))
(.f64 #s(literal 3 binary64) (neg.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) (neg.f64 y))))
(.f64 #s(literal 3 binary64) (.f64 (.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 3 binary64) #s(approx (+ (* x x) -16/841) (*.f64 x x))))
(.f64 y (.f64 (.f64 #s(literal 3 binary64) #s(approx (+ ( x x) -16/841) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ (* x x) -16/841) (*.f64 x x)))
(.f64 (.f64 #s(literal 3 binary64) y) (.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y))
(.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (neg.f64 (.f64 y #s(literal -3 binary64))))
(.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)) (.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 y #s(approx (+ (* x x) -16/841) (*.f64 x x))) #s(literal 3 binary64))
(.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) y) #s(approx (+ ( x x) -16/841) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* x x) -16/841) (.f64 x x)) (.f64 y #s(literal -3 binary64))))
(.f64 #s(literal -3 binary64) (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) (neg.f64 y)))
(.f64 (neg.f64 #s(approx (+ ( x x) -16/841) (.f64 x x))) (.f64 y #s(literal -3 binary64)))
(.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) (neg.f64 y)) #s(literal -3 binary64))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (+ (* x x) -16/841) (*.f64 x x))) y)
(.f64 (.f64 #s(literal 3 binary64) #s(approx (+ (* x x) -16/841) (.f64 x x))) (.f64 y #s(literal 1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx (+ ( x x) -16/841) (.f64 x x)))) (.f64 #s(literal 3 binary64) y))
(.f64 (neg.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) (neg.f64 y))) #s(literal 3 binary64))
(.f64 y #s(approx (+ ( x x) -16/841) (*.f64 x x)))
(.f64 #s(approx (+ ( x x) -16/841) (*.f64 x x)) y)
#s(approx (+ (* x x) -16/841) (*.f64 x x))

eval46.0ms (0.6%)

Memory: -16.3MiB live, 103.8MiB allocated
Compiler: Compiled 5 190 to 486 computations (90.6% saved)

prune49.0ms (0.6%)

Memory

-10.2MiB live, 109.6MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	389	9	398

Accuracy

100.0%

Counts

398 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
✓	51.6%	(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	49.9%	(/.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)
✓	50.1%	(.f64 (.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	51.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	50.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
✓	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 191 to 99 computations (48.2% saved)

regimes26.0ms (0.3%)

Memory

24.0MiB live, 62.6MiB allocated

Counts

16 → 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)))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.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 (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))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(/.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 (.f64 (.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 4/29 binary64) x))

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

Calls

5 calls:

6.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	y
5.0ms	x
5.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes21.0ms (0.3%)

Memory

3.0MiB live, 42.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes29.0ms (0.4%)

Memory

-13.2MiB live, 27.7MiB 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)))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.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))

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:

18.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	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
98.1%	3	`x`
57.3%	3	`y`
82.0%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
98.1%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
98.1%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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)))

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

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:

2.0ms	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
98.1%	3	`x`
98.1%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
98.1%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes43.0ms (0.6%)

Memory

-23.3MiB live, 16.0MiB 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:

37.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.2%	1	`y`
50.2%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
50.2%	1	`x`
50.2%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
50.2%	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

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.07261818807642696	1.8652526804473422
0.0ms	-1553982648883.491	-0.1379310344831721

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.07261818807642696	1.8652526804473422
0.0ms	-1553982648883.491	-0.1379310344831721

Compiler

Compiled 14 to 14 computations (0% saved)

simplify8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
8×	`+-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	32	124
1	42	124
2	51	124
3	57	124
4	62	124
5	64	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000000000 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 -3602879701896397/72057594037927936 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 -1000000000000 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 -3602879701896397/72057594037927936 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 (/.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 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 -1000000000000 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 -3602879701896397/72057594037927936 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 -1000000000000 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 -3602879701896397/72057594037927936 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 -1000000000000 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 -3602879701896397/72057594037927936 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 -1000000000000 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 -3602879701896397/72057594037927936 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)))

soundness1.2s (15.9%)

Memory

-0.1MiB live, 316.3MiB 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 138 to 63 computations (54.3% saved)

preprocess61.0ms (0.8%)

Memory: 4.5MiB live, 126.6MiB allocated
Remove: (negabs y)
Compiler: Compiled 298 to 152 computations (49% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	98
0	35	95
1	52	91
2	78	90
3	119	90
4	159	90
5	174	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Iter	Nodes	Cost
0	36	134
0	49	134
1	75	134
2	117	126
3	218	126
4	296	126
5	357	126
6	424	126
7	473	126
8	478	126
0	478	125

Iter	Nodes	Cost
0	24	98
0	35	95
1	52	91
2	78	90
3	119	90
4	159	90
5	174	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Iter	Nodes	Cost
0	36	134
0	49	134
1	75	134
2	117	126
3	218	126
4	296	126
5	357	126
6	424	126
7	473	126
8	478	126
0	478	125

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (13.5%)

explain230.0ms (3%)

preprocess88.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize63.0ms (0.8%)

series5.0ms (0.1%)

simplify401.0ms (5.3%)

rewrite436.0ms (5.8%)

eval136.0ms (1.8%)

prune149.0ms (2%)

simplify12.0ms (0.2%)

localize163.0ms (2.2%)

series12.0ms (0.2%)

simplify205.0ms (2.7%)

rewrite216.0ms (2.9%)

eval259.0ms (3.4%)

prune154.0ms (2%)

simplify20.0ms (0.3%)

localize98.0ms (1.3%)

series20.0ms (0.3%)

simplify1.1s (15.1%)

rewrite409.0ms (5.4%)

eval150.0ms (2%)

prune92.0ms (1.2%)

simplify14.0ms (0.2%)

localize70.0ms (0.9%)

series44.0ms (0.6%)

simplify210.0ms (2.8%)

rewrite241.0ms (3.2%)

eval46.0ms (0.6%)

prune49.0ms (0.6%)

regimes26.0ms (0.3%)

regimes21.0ms (0.3%)

regimes29.0ms (0.4%)

regimes6.0ms (0.1%)

regimes43.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (15.9%)

preprocess61.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	98
0	35	95
1	52	91
2	78	90
3	119	90
4	159	90
5	174	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Iter	Nodes	Cost
0	36	134
0	49	134
1	75	134
2	117	126
3	218	126
4	296	126
5	357	126
6	424	126
7	473	126
8	478	126
0	478	125