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

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (18.3%)

Memory

13.9MiB live, 876.2MiB allocated

Samples

845.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 585.0ms

ival-div: 340.0ms (58.1% of total)

ival-sub: 131.0ms (22.4% of total)

ival-mult: 96.0ms (16.4% of total)

exact: 10.0ms (1.7% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain152.0ms (2.4%)

Memory

-3.5MiB live, 111.0MiB 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

25.0ms	456×	0	valid
4.0ms	38×	1	valid
3.0ms	18×	2	valid

Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (43.3% of total)

ival-div: 4.0ms (24.7% of total)

ival-sub: 3.0ms (18.5% of total)

adjust: 1.0ms (6.2% of total)

exact: 1.0ms (6.2% of total)

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

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

preprocess53.0ms (0.8%)

Memory

3.4MiB live, 49.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.6%)

Memory

-22.3MiB live, 54.7MiB 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	0.1171875	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.1640625	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

26.0ms	228×	0	valid
2.0ms	19×	1	valid
1.0ms	9×	2	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (49.2% of total)

ival-div: 2.0ms (24.6% of total)

ival-sub: 1.0ms (12.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify302.0ms (4.7%)

Memory

-27.3MiB live, 105.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite185.0ms (2.9%)

Memory

21.6MiB live, 294.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 507

Calls

Call 1

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

Outputs
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eval70.0ms (1.1%)

Memory: 9.5MiB live, 165.8MiB allocated
Compiler: Compiled 13 714 to 1 811 computations (86.8% saved)

prune16.0ms (0.2%)

Memory

3.6MiB live, 41.7MiB 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)))
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
▶	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
	99.7%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
▶	99.7%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
	99.6%	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
▶	53.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
▶	48.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
	53.4%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 144 to 130 computations (9.7% saved)

simplify9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
cost-diff	896	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	128	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
cost-diff	0	#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	36	95
1	56	91
2	79	90
3	120	90
4	160	90
5	175	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 x #s(literal 3 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

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

localize198.0ms (3.1%)

Memory

-28.2MiB live, 138.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy	0.2734375	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
accuracy	0	(-.f64 x #s(literal 4/29 binary64))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.2109375	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1640625	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
accuracy	30.0628753121006	#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
accuracy	0.1640625	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	33.055685245207044	#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	0.1640625	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

162.0ms	228×	0	valid
18.0ms	19×	1	valid
4.0ms	9×	2	valid

Compiler

Compiled 101 to 24 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 23.0ms (41.3% of total)

ival-mult: 13.0ms (23.3% of total)

const: 8.0ms (14.4% of total)

ival-div: 7.0ms (12.6% of total)

ival-sub: 2.0ms (3.6% of total)

adjust: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series14.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

13 → 216

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

Outputs
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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 (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 x #s(literal 3 binary64))) y) (patch (.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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 (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms	y	@	0	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	x	@	inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify121.0ms (1.9%)

Memory

-5.0MiB live, 147.7MiB 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	1222
1	235	1222
2	535	1222
3	1094	1222
4	2893	1214
5	5278	1214
0	8138	1067

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

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

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

rewrite259.0ms (4.1%)

Memory

3.9MiB live, 236.2MiB allocated

Rules

4 366×	`lower-*.f32`
4 354×	`lower-*.f64`
3 212×	`lower-/.f32`
3 208×	`lower-/.f64`
3 032×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	80
0	36	77
1	112	73
2	472	72
3	4173	72
0	8499	72

Stop Event

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

Counts

13 → 1 300

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

Outputs
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eval213.0ms (3.3%)

Memory: 12.1MiB live, 321.9MiB allocated
Compiler: Compiled 24 935 to 2 292 computations (90.8% saved)

prune35.0ms (0.6%)

Memory

-20.1MiB live, 107.1MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 510	4	1 514
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	1 514	9	1 523

Accuracy

100.0%

Counts

1 523 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
▶	48.2%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	48.4%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	53.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	48.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	53.4%	#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64)))
▶	53.4%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 79 to 84 computations (-6.3% saved)

simplify10.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

124×	`lower-*.f32`
114×	`lower-*.f64`
80×	`lower-/.f32`
74×	`lower-/.f64`
64×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	122
0	40	120
1	61	120
2	89	112
3	131	112
4	172	112
5	188	112
6	201	112
7	215	112
8	224	112
9	229	112
0	229	110

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

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

localize69.0ms (1.1%)

Memory

1.8MiB live, 119.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.2734375	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.38671875	(/.f64 #s(literal 1/3 binary64) x)
accuracy	30.121084158738196	#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.2734375	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy	32.838433939709105	#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.2109375	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	33.04209671292968	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.25390625	(.f64 (.f64 x y) #s(literal 3 binary64))
accuracy	29.704504674509625	#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64)))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.203125	(.f64 (.f64 y #s(literal 3 binary64)) x)
accuracy	29.704504674509625	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 98 to 28 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

const: 16.0ms (38.6% of total)

ival-mult: 14.0ms (33.8% of total)

ival-div: 7.0ms (16.9% of total)

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

ival-add: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series105.0ms (1.6%)

Memory

-15.2MiB live, 23.4MiB allocated

Counts

13 → 252

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

Outputs
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) (patch (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 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 inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -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 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.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

6 calls:

Time	Variable		Point	Expression
92.0ms	x	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
1.0ms	y	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
1.0ms	y	@	0	((* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
1.0ms	y	@	inf	((* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
1.0ms	x	@	0	((* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))

simplify639.0ms (10%)

Memory

23.6MiB live, 141.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1438
1	215	1438
2	478	1438
3	968	1438
4	2662	1422
5	5101	1422
0	8109	1305

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

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

rewrite588.0ms (9.2%)

Memory

-42.6MiB live, 167.0MiB allocated

Rules

3 726×	`lower-*.f32`
3 716×	`lower-*.f64`
2 854×	`lower-/.f32`
2 848×	`lower-/.f64`
2 820×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	105
0	40	103
1	124	103
2	557	95
3	4505	95
0	8066	93

Stop Event

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

Counts

13 → 197

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

Outputs
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eval54.0ms (0.9%)

Memory: 21.1MiB live, 140.1MiB allocated
Compiler: Compiled 3 559 to 484 computations (86.4% saved)

prune25.0ms (0.4%)

Memory

0.7MiB live, 77.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	465	10	475

Accuracy

100.0%

Counts

475 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	48.2%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	48.3%	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	48.4%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	53.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	48.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	53.4%	#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64)))
✓	53.4%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 57 to 61 computations (-7% saved)

simplify5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	17	24
2	25	24
3	27	24
0	27	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

-17.4MiB live, 67.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
accuracy	0.2734375	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy	33.04209671292968	#s(approx (- x 4/29) #s(literal -4/29 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 12.0ms (72.2% of total)

ival-mult: 3.0ms (18% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

13.1MiB live, 13.2MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

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

#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify211.0ms (3.3%)

Memory

-4.3MiB live, 154.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 696×	`lower-/.f32`
3 696×	`lower-/.f64`
2 952×	`lower-fma.f64`
2 952×	`lower-fma.f32`
2 696×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	304
1	127	304
2	338	304
3	699	304
4	2015	304
5	3629	304
6	4378	304
7	4578	304
8	4669	304
9	4723	304
10	4775	304
11	5121	304
12	5713	304
13	6039	304
14	6049	304
15	6049	304
16	6049	304
0	8023	283

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite173.0ms (2.7%)

Memory

-2.3MiB live, 282.1MiB allocated

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 498×	`lower-*.f32`
4 494×	`lower-*.f64`
3 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	31	21
2	141	21
3	993	21
0	8567	21

Stop Event

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

Counts

3 → 9

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval8.0ms (0.1%)

Memory: -19.5MiB live, 19.6MiB allocated
Compiler: Compiled 481 to 39 computations (91.9% saved)

prune7.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	67	10	77

Accuracy

100.0%

Counts

77 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	48.2%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	48.3%	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	48.4%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	53.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	48.4%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	53.4%	#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64)))
✓	53.4%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 166 to 117 computations (29.5% saved)

regimes52.0ms (0.8%)

Memory

-21.0MiB live, 57.3MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64)))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(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 (+ (* 3 x) -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 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)

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

Calls

5 calls:

30.0ms	x
6.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	y
5.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes50.0ms (0.8%)

Memory

0.6MiB live, 45.0MiB 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 (.f64 y #s(literal 3 binary64)) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (.f64 (.f64 x y) #s(literal 3 binary64)))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(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 (+ (* 3 x) -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:

33.0ms	y
4.0ms	x
4.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

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

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes16.0ms (0.3%)

Memory

-3.4MiB live, 33.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	x
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	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
97.8%	3	`x`
60.2%	5	`y`
81.0%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.8%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.8%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

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
97.8%	3	`x`
97.8%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.8%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes10.0ms (0.2%)

Memory

-18.9MiB live, 18.9MiB 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:

4.0ms	(*.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	x
1.0ms	y
1.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
48.4%	1	`y`
48.4%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
48.4%	1	`x`
48.4%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
48.4%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793093201815446	323.5945858323355
0.0ms	-1.8462548246877217	-0.13793219017125524

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793093201815446	323.5945858323355
0.0ms	-1.8462548246877217	-0.13793219017125524

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793093201815446	323.5945858323355
0.0ms	-1.8462548246877217	-0.13793219017125524

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify30.0ms (0.5%)

Memory

-17.8MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	179
1	57	179
2	64	179
3	70	179
4	75	179
5	77	179

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

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

soundness1.4s (21.8%)

Memory

20.0MiB live, 499.4MiB allocated

Rules

5 420×	`lower-fma.f64`
5 420×	`lower-fma.f32`
4 904×	`lower-/.f64`
4 904×	`lower-/.f32`
4 434×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	242
1	112	242
2	290	242
3	614	242
4	1570	242
5	2670	242
6	3756	242
7	4250	242
8	4425	242
9	4445	242
10	4459	242
11	5193	242
12	5573	242
13	5799	242
14	6250	242
15	6612	242
16	6618	242
17	6630	242
18	6630	242
0	8644	212
0	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8918	14
0	98	1222
1	235	1222
2	535	1222
3	1094	1222
4	2893	1214
5	5278	1214
0	8138	1067

Stop Event

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

Compiler

Compiled 207 to 109 computations (47.3% saved)

preprocess51.0ms (0.8%)

Memory: 15.7MiB live, 131.9MiB allocated
Remove: (negabs y)
Compiler: Compiled 298 to 132 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	98
0	36	95
1	56	91
2	79	90
3	120	90
4	160	90
5	175	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Iter	Nodes	Cost
0	32	122
0	40	120
1	61	120
2	89	112
3	131	112
4	172	112
5	188	112
6	201	112
7	215	112
8	224	112
9	229	112
0	229	110

Iter	Nodes	Cost
0	24	98
0	36	95
1	56	91
2	79	90
3	120	90
4	160	90
5	175	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Iter	Nodes	Cost
0	32	122
0	40	120
1	61	120
2	89	112
3	131	112
4	172	112
5	188	112
6	201	112
7	215	112
8	224	112
9	229	112
0	229	110

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (18.3%)

explain152.0ms (2.4%)

preprocess53.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize36.0ms (0.6%)

series5.0ms (0.1%)

simplify302.0ms (4.7%)

rewrite185.0ms (2.9%)

eval70.0ms (1.1%)

prune16.0ms (0.2%)

simplify9.0ms (0.1%)

localize198.0ms (3.1%)

series14.0ms (0.2%)

simplify121.0ms (1.9%)

rewrite259.0ms (4.1%)

eval213.0ms (3.3%)

prune35.0ms (0.6%)

simplify10.0ms (0.2%)

localize69.0ms (1.1%)

series105.0ms (1.6%)

simplify639.0ms (10%)

rewrite588.0ms (9.2%)

eval54.0ms (0.9%)

prune25.0ms (0.4%)

simplify5.0ms (0.1%)

localize29.0ms (0.5%)

series4.0ms (0.1%)

simplify211.0ms (3.3%)

rewrite173.0ms (2.7%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

regimes52.0ms (0.8%)

regimes50.0ms (0.8%)

regimes16.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify30.0ms (0.5%)

soundness1.4s (21.8%)

preprocess51.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	98
0	36	95
1	56	91
2	79	90
3	120	90
4	160	90
5	175	90
6	187	90
7	200	90
8	209	90
9	214	90
0	214	90

Iter	Nodes	Cost
0	32	122
0	40	120
1	61	120
2	89	112
3	131	112
4	172	112
5	188	112
6	201	112
7	215	112
8	224	112
9	229	112
0	229	110