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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample1.3s (19.3%)

Memory

16.0MiB live, 921.5MiB allocated

Samples

817.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-mult: 207.0ms (47.7% of total)

ival-div: 168.0ms (38.7% of total)

ival-sub: 39.0ms (9% of total)

exact: 11.0ms (2.5% of total)

ival-true: 6.0ms (1.4% of total)

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

Bogosity

explain195.0ms (2.9%)

Memory

26.5MiB live, 105.5MiB 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

126.0ms	482×	0	valid
2.0ms	16×	2	valid
2.0ms	14×	1	valid

Compiler

Compiled 100 to 40 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 106.0ms (92.5% of total)

ival-div: 4.0ms (3.5% of total)

ival-sub: 3.0ms (2.6% of total)

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess101.0ms (1.5%)

Memory

-23.0MiB live, 60.7MiB allocated

Algorithm

1×	egg-herbie

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)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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))

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

localize37.0ms (0.6%)

Memory

10.6MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy	0.078125	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.17578125	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

28.0ms	241×	0	valid
1.0ms	8×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 17.0ms (74.8% of total)

ival-mult: 4.0ms (17.6% of total)

ival-sub: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

-24.0MiB live, 13.0MiB 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
3.0ms	x	@	inf	((/ 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	y	@	0	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	y	@	inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	x	@	-inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))

simplify202.0ms (3%)

Memory

20.9MiB live, 135.3MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite276.0ms (4.1%)

Memory

-9.4MiB live, 236.9MiB allocated

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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eval86.0ms (1.3%)

Memory: 13.5MiB live, 126.3MiB allocated
Compiler: Compiled 13 714 to 1 811 computations (86.8% saved)

prune18.0ms (0.3%)

Memory

5.4MiB live, 47.3MiB 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
▶	99.7%	(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)
	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	99.7%	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
	99.6%	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
▶	49.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
▶	52.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
	49.2%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 122 to 120 computations (1.6% saved)

simplify8.0ms (0.1%)

Memory

-27.8MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 y x))
cost-diff	0	(*.f64 y #s(literal -4/29 binary64))
cost-diff	640	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	0	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
cost-diff	128	(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
cost-diff	0	#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)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	102
0	39	96
1	59	92
2	86	92
3	87	92
0	87	92

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

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

localize73.0ms (1.1%)

Memory

16.9MiB live, 135.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.0625	(*.f64 y #s(literal -4/29 binary64))
accuracy	0.14453125	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
accuracy	0.234375	(.f64 #s(literal 3 binary64) (.f64 y x))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.078125	(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))
accuracy	0.17578125	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.17578125	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
accuracy	32.635884788253485	#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
accuracy	0.17578125	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	30.444804739791866	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy	0.00390625	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.17578125	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

47.0ms	241×	0	valid
4.0ms	8×	2	valid
2.0ms	7×	1	valid

Compiler

Compiled 185 to 45 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.5% of total)

const: 10.0ms (27% of total)

ival-sub: 3.0ms (8.1% of total)

ival-add: 3.0ms (8.1% of total)

ival-div: 2.0ms (5.4% of total)

adjust: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

16.2MiB live, 53.4MiB allocated

Counts

14 → 252

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) 3) (* (* (- x 4/29) 3) y) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
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) 3) (* (* (- x 4/29) 3) y) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
2.0ms	y	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) 3) (* (* (- x 4/29) 3) y) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
2.0ms	y	@	inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) 3) (* (* (- x 4/29) 3) y) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
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) 3) (* (* (- x 4/29) 3) y) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))

simplify307.0ms (4.5%)

Memory

11.6MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	1302
1	132	1302
2	352	1302
3	682	1302
4	1589	1302
5	2671	1302
6	3762	1302
7	4249	1302
8	4413	1302
9	4433	1302
10	4447	1302
11	5005	1302
12	5305	1302
13	5530	1302
14	5810	1302
15	5814	1302
16	5818	1302
17	5826	1302
18	5826	1302
19	7906	1302
0	8218	1161

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

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

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

rewrite213.0ms (3.1%)

Memory

-13.9MiB live, 238.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	85
0	39	79
1	99	75
2	546	75
3	5313	75
0	8643	75

Stop Event

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

Counts

14 → 843

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

Outputs
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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eval226.0ms (3.3%)

Memory: -1.7MiB live, 278.0MiB allocated
Compiler: Compiled 19 753 to 1 248 computations (93.7% saved)

prune228.0ms (3.4%)

Memory

-4.4MiB live, 72.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 091	2	1 093
Fresh	2	2	4
Picked	0	5	5
Done	0	0	0
Total	1 093	9	1 102

Accuracy

100.0%

Counts

1 102 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(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)
▶	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	99.6%	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
✓	49.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	52.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	49.2%	#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 61 to 60 computations (1.6% saved)

simplify9.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	87
0	34	84
1	57	78
2	83	78
3	101	77
4	115	77
5	128	77
6	141	77
7	153	77
8	166	77
9	175	77
10	180	77
0	180	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize567.0ms (8.4%)

Memory

-20.5MiB live, 112.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy	0.3046875	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.25	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.0625	(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
accuracy	0.25	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.19921875	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	32.39146560487348	#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))

Samples

549.0ms	241×	0	valid
3.0ms	8×	2	valid
2.0ms	7×	1	valid

Compiler

Compiled 162 to 42 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-mult: 287.0ms (88.9% of total)

const: 27.0ms (8.4% of total)

ival-div: 4.0ms (1.2% of total)

ival-add: 3.0ms (0.9% of total)

adjust: 1.0ms (0.3% of total)

ival-sub: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series212.0ms (3.1%)

Memory

-11.9MiB live, 27.0MiB allocated

Counts

11 → 204

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
200.0ms	x	@	0	((+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* 3 y) x) (* 3 y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- x 4/29) (* y 3)) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms	y	@	-inf	((+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* 3 y) x) (* 3 y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- x 4/29) (* y 3)) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms	y	@	inf	((+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* 3 y) x) (* 3 y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- x 4/29) (* y 3)) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	0	((+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* 3 y) x) (* 3 y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- x 4/29) (* y 3)) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	x	@	-inf	((+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* 3 y) x) (* 3 y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (- x 4/29) (* y 3)) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify331.0ms (4.9%)

Memory

3.1MiB live, 158.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1140
1	289	1140
2	698	1140
3	1363	1140
4	3552	1132
5	5914	1132
0	8025	1033

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 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))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 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)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -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 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)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 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 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)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 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)
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rewrite243.0ms (3.6%)

Memory

25.8MiB live, 340.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	68
0	34	65
1	112	59
2	659	59
3	6893	59
0	8049	59

Stop Event

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

Counts

11 → 1 138

Calls

Call 1

Inputs
#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(-.f64 x #s(literal 4/29 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 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
#<batchref>
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eval202.0ms (3%)

Memory: 10.6MiB live, 521.4MiB allocated
Compiler: Compiled 26 538 to 2 131 computations (92% saved)

prune38.0ms (0.6%)

Memory

-13.8MiB live, 106.5MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 416	5	1 421
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	1 419	11	1 430

Accuracy

100.0%

Counts

1 430 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
▶	52.5%	(/.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)
✓	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	99.7%	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
▶	52.5%	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	52.8%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	49.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	52.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	49.3%	(.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))
✓	49.2%	#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 92 to 99 computations (-7.6% saved)

simplify5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
cost-diff	0	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* (- x 4/29) y) (*.f64 x y))
cost-diff	0	(.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))
cost-diff	0	(*.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	122
0	36	122
1	49	122
2	60	122
3	62	122
0	62	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize83.0ms (1.2%)

Memory

-21.8MiB live, 109.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.32421875	(/.f64 #s(literal 1/3 binary64) x)
accuracy	32.753677922296	#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.3046875	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy	30.230471285223892	#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy	0.0625	(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
accuracy	0.25	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy	30.425716709216626	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.25	(.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))
accuracy	32.38684024114691	#s(approx (* (- x 4/29) y) (*.f64 x y))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.25	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	30.425716709216626	#s(approx (- x 4/29) #s(literal -4/29 binary64))

Samples

70.0ms

256×

valid

Compiler

Compiled 163 to 41 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 23.0ms (44.8% of total)

const: 16.0ms (31.1% of total)

ival-mult: 9.0ms (17.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.6%)

Memory

-14.3MiB live, 24.0MiB allocated

Counts

13 → 252

Calls

Call 1

Inputs
#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(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())
#s(alt (/.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 (.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 (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 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 (.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 (* 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 (.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 inf 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 inf 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 inf 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) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- x 4/29) y) (.f64 x y)) #s(literal 3 binary64)) (patch (.f64 #s(approx (* (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- x 4/29) y) (.f64 x y)) (patch #s(approx ( (- x 4/29) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #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 (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#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
1.0ms	y	@	-inf	((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (/ 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	@	-inf	((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (/ 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 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (/ 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 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (/ 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	@	inf	((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (/ 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))

simplify130.0ms (1.9%)

Memory

15.8MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1426
1	254	1426
2	583	1426
3	1177	1426
4	3352	1410
5	5798	1410
6	7987	1410
0	8029	1293

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

rewrite161.0ms (2.4%)

Memory

19.0MiB live, 259.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	103
0	36	103
1	106	103
2	474	103
3	3272	103
0	8435	99

Stop Event

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

Counts

13 → 134

Calls

Call 1

Inputs
(.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(literal 3 binary64))
(.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* (- x 4/29) y) (*.f64 x y))
(*.f64 x y)
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
(/.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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eval81.0ms (1.2%)

Memory: -40.6MiB live, 130.4MiB allocated
Compiler: Compiled 3 039 to 339 computations (88.8% saved)

prune16.0ms (0.2%)

Memory

10.5MiB live, 48.9MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	395	11	406

Accuracy

100.0%

Counts

406 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓	52.5%	(/.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)
✓	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	99.7%	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
✓	52.5%	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	52.8%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	49.2%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
✓	52.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	49.3%	(.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))
✓	49.2%	#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 175 to 123 computations (29.7% saved)

regimes28.0ms (0.4%)

Memory

32.0MiB live, 69.7MiB allocated

Counts

17 → 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))
(.f64 #s(approx ( (- x 4/29) y) (*.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 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(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))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes21.0ms (0.3%)

Memory

-32.7MiB live, 47.3MiB allocated

Counts

7 → 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (.f64 (.f64 #s(literal 3 binary64) y) x))
(.f64 #s(approx ( (- x 4/29) y) (*.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

#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)

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

Calls

5 calls:

8.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
4.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.6%	3	`x`
62.3%	6	`y`
82.9%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.6%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.6%	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

25.5MiB live, 25.5MiB 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 #s(literal 3 binary64) y) 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
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
97.5%	3	`x`
97.5%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.5%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes8.0ms (0.1%)

Memory

-10.8MiB live, 28.7MiB 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:

2.0ms	(*.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
52.7%	1	`y`
52.7%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
52.7%	1	`x`
52.7%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
52.7%	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

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793103446285537	1615.1201236797906
0.0ms	-6.750849295387125	-0.13793872697269835

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793103446285537	1615.1201236797906
0.0ms	-6.750849295387125	-0.13793872697269835

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify27.0ms (0.4%)

Memory

-25.8MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	115
1	40	115
2	49	115
3	55	115
4	60	115
5	62	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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) (.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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) (.f64 #s(approx ( (- x 4/29) y) (*.f64 x y)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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) (.f64 #s(approx ( (- x 4/29) y) (*.f64 y x)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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)

soundness1.2s (17.6%)

Memory

35.7MiB live, 588.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	85
0	39	79
1	99	75
2	546	75
3	5313	75
0	8643	75
0	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8918	14
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	112	1140
1	289	1140
2	698	1140
3	1363	1140
4	3552	1132
5	5914	1132
0	8025	1033

Stop Event

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

Compiler

Compiled 141 to 87 computations (38.3% saved)

preprocess63.0ms (0.9%)

Memory: 4.3MiB live, 161.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 204 to 108 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	87
0	34	84
1	57	78
2	83	78
3	101	77
4	115	77
5	128	77
6	141	77
7	153	77
8	166	77
9	175	77
10	180	77
0	180	77

Iter	Nodes	Cost
0	23	87
0	34	84
1	57	78
2	83	78
3	101	77
4	115	77
5	128	77
6	141	77
7	153	77
8	166	77
9	175	77
10	180	77
0	180	77

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (19.3%)

explain195.0ms (2.9%)

preprocess101.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize37.0ms (0.6%)

series8.0ms (0.1%)

simplify202.0ms (3%)

rewrite276.0ms (4.1%)

eval86.0ms (1.3%)

prune18.0ms (0.3%)

simplify8.0ms (0.1%)

localize73.0ms (1.1%)

series20.0ms (0.3%)

simplify307.0ms (4.5%)

rewrite213.0ms (3.1%)

eval226.0ms (3.3%)

prune228.0ms (3.4%)

simplify9.0ms (0.1%)

localize567.0ms (8.4%)

series212.0ms (3.1%)

simplify331.0ms (4.9%)

rewrite243.0ms (3.6%)

eval202.0ms (3%)

prune38.0ms (0.6%)

simplify5.0ms (0.1%)

localize83.0ms (1.2%)

series43.0ms (0.6%)

simplify130.0ms (1.9%)

rewrite161.0ms (2.4%)

eval81.0ms (1.2%)

prune16.0ms (0.2%)

regimes28.0ms (0.4%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify27.0ms (0.4%)

soundness1.2s (17.6%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	87
0	34	84
1	57	78
2	83	78
3	101	77
4	115	77
5	128	77
6	141	77
7	153	77
8	166	77
9	175	77
10	180	77
0	180	77