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

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)

sample800.0ms (11%)

Memory

51.2MiB live, 1 108.7MiB allocated

Samples

491.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 114.0ms (40.8% of total)

ival-div: 91.0ms (32.5% of total)

ival-sub: 57.0ms (20.4% of total)

exact: 10.0ms (3.6% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess55.0ms (0.8%)

Memory

-9.4MiB live, 73.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

explain101.0ms (1.4%)

Memory

-13.5MiB live, 219.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

34.0ms	466×	0	valid
4.0ms	26×	2	valid
2.0ms	20×	1	valid

Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (47.6% of total)

ival-mult: 7.0ms (33.3% of total)

ival-sub: 3.0ms (14.3% of total)

adjust: 1.0ms (4.8% of total)

exact: 1.0ms (4.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.6%)

Memory

-32.9MiB live, 34.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓	accuracy	99.8%	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓	accuracy	99.4%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

33.0ms	233×	0	valid
2.0ms	13×	2	valid
1.0ms	10×	1	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-mult: 4.0ms (47% of total)

ival-div: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>

Calls

12 calls:

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

rewrite343.0ms (4.7%)

Memory

23.7MiB live, 612.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 507

Calls

Call 1

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

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

simplify382.0ms (5.3%)

Memory

-23.6MiB live, 336.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	112	242
2	290	242
3	614	242
4	1569	242
5	2629	242
6	3705	242
7	4196	242
8	4371	242
9	4391	242
10	4405	242
11	5139	242
12	5519	242
13	5745	242
14	6196	242
15	6558	242
16	6564	242
17	6576	242
18	6576	242
0	8629	212

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

eval68.0ms (0.9%)

Memory: 26.5MiB live, 181.5MiB allocated
Compiler: Compiled 16 437 to 1 806 computations (89% saved)

prune76.0ms (1%)

Memory

-33.2MiB live, 210.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	545	8	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	546	8	554

Accuracy

100.0%

Counts

554 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
▶	82.0%	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))))
	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	50.2%	(.f64 (.f64 #s(literal 3 binary64) x) y)
	50.6%	(.f64 #s(literal 3 binary64) (.f64 x y))
▶	51.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 138 to 104 computations (24.6% saved)

simplify16.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
✓	cost-diff	0	(fma.f64 x x #s(literal -16/841 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	cost-diff	128	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	cost-diff	0	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	128	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Rules

350×	`lower-*.f32`
332×	`lower-*.f64`
206×	`lower-fma.f32`
204×	`lower-fma.f64`
130×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	34	88
1	54	88
2	102	88
3	183	88
4	291	88
5	335	88
6	373	88
7	391	88
0	391	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1.5%)

Memory

2.4MiB live, 159.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 4/29 binary64) x)
✓	accuracy	99.9%	(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
✓	accuracy	82.2%	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	accuracy	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.3%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.6%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Samples

80.0ms	252×	0	valid
1.0ms	3×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 92 to 23 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

const: 38.0ms (56.8% of total)

ival-mult: 21.0ms (31.4% of total)

ival-add: 5.0ms (7.5% of total)

ival-div: 2.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

5.5MiB live, 42.6MiB allocated

Counts

13 → 240

Calls

Call 1

Inputs
#<alt (.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))>
#<alt (+.f64 x #s(literal -4/29 binary64))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal -12/29 binary64) y)>
#<alt (.f64 (.f64 #s(literal 3 binary64) x) y)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))>
#<alt (*.f64 (+.f64 x #s(literal -4/29 binary64)) y)>
#<alt (.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))))>
#<alt (fma.f64 x x #s(literal -16/841 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))>
#<alt (/.f64 y (+.f64 #s(literal 4/29 binary64) x))>
#<alt (+.f64 #s(literal 4/29 binary64) x)>

Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt -16/841>
#<alt (- (pow x 2) 16/841)>
#<alt (- (pow x 2) 16/841)>
#<alt (- (pow x 2) 16/841)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 3 (/ y (+ 4/29 x)))>
#<alt (* 87/4 y)>
#<alt (+ (* -2523/16 (* x y)) (* 87/4 y))>
#<alt (+ (* 87/4 y) (* x (+ (* -2523/16 y) (* 73167/64 (* x y)))))>
#<alt (+ (* 87/4 y) (* x (+ (* -2523/16 y) (* x (+ (* -2121843/256 (* x y)) (* 73167/64 y))))))>
#<alt (* 3 (/ y x))>
#<alt (/ (+ (* -12/29 (/ y x)) (* 3 y)) x)>
#<alt (/ (+ (* -12/29 (/ y x)) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x)>
#<alt (/ (+ (* -12/29 (/ y x)) (+ (* -192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x)>
#<alt (* 3 (/ y x))>
#<alt (* -1 (/ (+ (* -3 y) (* 12/29 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -12/29 y) (* 48/841 (/ y x))) x))) x))>
#<alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -48/841 y) (* 192/24389 (/ y x))) x)) (* -12/29 y)) x))) x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (* 29/4 y)>
#<alt (+ (* -841/16 (* x y)) (* 29/4 y))>
#<alt (+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))>
#<alt (+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -4/29 (/ y x))) x)>
#<alt (/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)>
#<alt (/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))>
#<alt 4/29>
#<alt (+ 4/29 x)>
#<alt (+ 4/29 x)>
#<alt (+ 4/29 x)>
#<alt x>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* 3 y)
2.0ms	y	@	inf	(* (* 3 x) y)
1.0ms	y	@	0	(* (+ (* x x) -16/841) (* 3 (/ y (+ 4/29 x))))
1.0ms	y	@	0	(* 3 y)
1.0ms	y	@	inf	(* (+ (* x x) -16/841) (* 3 (/ y (+ 4/29 x))))

rewrite372.0ms (5.1%)

Memory

-11.5MiB live, 623.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 682×	`lower-*.f32`
4 664×	`lower-*.f64`
3 312×	`lower-fma.f32`
3 310×	`lower-fma.f64`
2 928×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	67
0	34	62
1	102	62
2	557	62
3	6135	62
0	8046	59

Stop Event

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

Counts

13 → 1 331

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) #s(literal -48/841 binary64)) (.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) #s(literal -48/841 binary64)))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))) (*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) #s(literal -48/841 binary64)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) #s(literal -16/841 binary64)) (.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))))
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(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 4/29 binary64) x) (-.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 4/29 binary64) x) (-.f64 #s(literal 256/707281 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))))

simplify374.0ms (5.2%)

Memory

-22.9MiB live, 666.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 944×	`lower-fma.f64`
9 944×	`lower-fma.f32`
4 208×	`lower-*.f64`
4 208×	`lower-*.f32`
2 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1579
1	487	1459
2	1243	1429
3	3352	1414
4	7154	1414
0	8114	1319

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
-16/841
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 3 (/ y (+ 4/29 x)))
(* 87/4 y)
(+ (* -2523/16 (* x y)) (* 87/4 y))
(+ (* 87/4 y) (* x (+ (* -2523/16 y) (* 73167/64 (* x y)))))
(+ (* 87/4 y) (* x (+ (* -2523/16 y) (* x (+ (* -2121843/256 (* x y)) (* 73167/64 y))))))
(* 3 (/ y x))
(/ (+ (* -12/29 (/ y x)) (* 3 y)) x)
(/ (+ (* -12/29 (/ y x)) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x)
(/ (+ (* -12/29 (/ y x)) (+ (* -192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x)
(* 3 (/ y x))
(* -1 (/ (+ (* -3 y) (* 12/29 (/ y x))) x))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -12/29 y) (* 48/841 (/ y x))) x))) x))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -48/841 y) (* 192/24389 (/ y x))) x)) (* -12/29 y)) x))) x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(* 29/4 y)
(+ (* -841/16 (* x y)) (* 29/4 y))
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
(/ y x)
(/ (+ y (* -4/29 (/ y x))) x)
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))
4/29
(+ 4/29 x)
(+ 4/29 x)
(+ 4/29 x)
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
-16/841
#s(literal -16/841 binary64)
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ y (+ 4/29 x)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(+ (* -2523/16 (* x y)) (* 87/4 y))
(*.f64 y (fma.f64 x #s(literal -2523/16 binary64) #s(literal 87/4 binary64)))
(+ (* 87/4 y) (* x (+ (* -2523/16 y) (* 73167/64 (* x y)))))
(*.f64 y (fma.f64 x (fma.f64 x #s(literal 73167/64 binary64) #s(literal -2523/16 binary64)) #s(literal 87/4 binary64)))
(+ (* 87/4 y) (* x (+ (* -2523/16 y) (* x (+ (* -2121843/256 (* x y)) (* 73167/64 y))))))
(fma.f64 x (.f64 y (fma.f64 x (fma.f64 x #s(literal -2121843/256 binary64) #s(literal 73167/64 binary64)) #s(literal -2523/16 binary64))) (.f64 y #s(literal 87/4 binary64)))
(* 3 (/ y x))
(/.f64 (*.f64 y #s(literal 3 binary64)) x)
(/ (+ (* -12/29 (/ y x)) (* 3 y)) x)
(/.f64 (*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x))) x)
(/ (+ (* -12/29 (/ y x)) (+ (* 48/841 (/ y (pow x 2))) (* 3 y))) x)
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 48/841 binary64) x))) x)) x)
(/ (+ (* -12/29 (/ y x)) (+ (* -192/24389 (/ y (pow x 3))) (+ (* 48/841 (/ y (pow x 2))) (* 3 y)))) x)
(/.f64 (fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x)) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 48/841 binary64) (/.f64 #s(literal -192/24389 binary64) x)))) x)
(* 3 (/ y x))
(/.f64 (*.f64 y #s(literal 3 binary64)) x)
(* -1 (/ (+ (* -3 y) (* 12/29 (/ y x))) x))
(/.f64 (*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -12/29 binary64) x))) x)
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -12/29 y) (* 48/841 (/ y x))) x))) x))
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 48/841 binary64) x))) x)) x)
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -1 (/ (+ (* -48/841 y) (* 192/24389 (/ y x))) x)) (* -12/29 y)) x))) x))
(/.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -12/29 binary64) y (/.f64 (*.f64 y (+.f64 #s(literal 48/841 binary64) (/.f64 #s(literal -192/24389 binary64) x))) x)) x)) x)
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(+ (* -841/16 (* x y)) (* 29/4 y))
(*.f64 y (fma.f64 x #s(literal -841/16 binary64) #s(literal 29/4 binary64)))
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(*.f64 y (fma.f64 (fma.f64 x #s(literal 24389/64 binary64) #s(literal -841/16 binary64)) x #s(literal 29/4 binary64)))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
(fma.f64 x (.f64 y (fma.f64 (fma.f64 x #s(literal -707281/256 binary64) #s(literal 24389/64 binary64)) x #s(literal -841/16 binary64))) (.f64 y #s(literal 29/4 binary64)))
(/ y x)
(/.f64 y x)
(/ (+ y (* -4/29 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 #s(literal -4/29 binary64) x) y) x)
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 y x) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) y) x)
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)
(/.f64 (fma.f64 (/.f64 y x) (+.f64 (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) (/.f64 #s(literal -64/24389 binary64) (*.f64 x x))) y) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))
(/.f64 (fma.f64 y (/.f64 #s(literal -4/29 binary64) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (+.f64 (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) (/.f64 #s(literal -64/24389 binary64) (*.f64 x x))) y) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 x)
(+.f64 x #s(literal 4/29 binary64))
(+ 4/29 x)
(+.f64 x #s(literal 4/29 binary64))
(+ 4/29 x)
(+.f64 x #s(literal 4/29 binary64))
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal 4/29 binary64))
(* x (+ 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal 4/29 binary64))
(* x (+ 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal 4/29 binary64))
x
(* 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))

eval882.0ms (12.2%)

Memory: 8.7MiB live, 433.8MiB allocated
Compiler: Compiled 35 258 to 2 942 computations (91.7% saved)

prune498.0ms (6.9%)

Memory

34.8MiB live, 308.8MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 691	6	1 697
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 694	11	1 705

Accuracy

100.0%

Counts

1 705 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
	33.0%	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y x)))
▶	55.8%	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal 29/4 binary64))))
▶	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
	50.6%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	50.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
	50.6%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	51.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	50.2%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	51.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 161 to 122 computations (24.2% saved)

simplify38.0ms (0.5%)

Memory

5.9MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓	cost-diff	896	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	cost-diff	0	(*.f64 y #s(literal 29/4 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal -16/841 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal 29/4 binary64))))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (.f64 y #s(literal 29/4 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal -4/29 binary64))
✓	cost-diff	320	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Rules

522×	`lower-*.f32`
506×	`lower-*.f64`
362×	`lower-fma.f32`
358×	`lower-fma.f64`
274×	`associate-r`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	20	86
0	34	80
1	54	76
2	94	76
3	213	76
4	444	76
5	545	76
6	557	75
7	562	75
8	572	75
9	585	75
10	598	75
11	614	75
12	627	75
13	647	75
14	684	75
15	739	75
16	776	75
17	781	75
0	781	75

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

Outputs
(*.f64 (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 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(literal -4/29 binary64)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -4/29 binary64))
y
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal 29/4 binary64))))
(.f64 #s(literal 87/4 binary64) (.f64 y (fma.f64 x x #s(literal -16/841 binary64))))
(fma.f64 x x #s(literal -16/841 binary64))
x
#s(literal -16/841 binary64)
(.f64 #s(literal 3 binary64) (.f64 y #s(literal 29/4 binary64)))
(*.f64 y #s(literal 87/4 binary64))
#s(literal 3 binary64)
(*.f64 y #s(literal 29/4 binary64))
y
#s(literal 29/4 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
y
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)

localize91.0ms (1.3%)

Memory

-37.2MiB live, 178.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 29/4 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -16/841 binary64))
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 y #s(literal 29/4 binary64)))
✓	accuracy	95.0%	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal 29/4 binary64))))
✓	accuracy	99.9%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.5%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.5%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	accuracy	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

47.0ms	233×	0	valid
7.0ms	13×	2	valid
3.0ms	10×	1	valid

Compiler

Compiled 95 to 24 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47% of total)

const: 10.0ms (24.8% of total)

ival-div: 8.0ms (19.8% of total)

ival-add: 3.0ms (7.4% of total)

adjust: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

12 → 180

Calls

Call 1

Inputs
#<alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)>
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))>
#<alt (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 y #s(literal -4/29 binary64))>
#<alt (.f64 #s(literal 3 binary64) (.f64 y #s(literal 29/4 binary64)))>
#<alt (.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal 29/4 binary64))))>
#<alt (fma.f64 x x #s(literal -16/841 binary64))>
#<alt (*.f64 y #s(literal 29/4 binary64))>
#<alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))>

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (+ (* x 3) -12/29) y)
1.0ms	y	@	inf	(* (+ (* x x) -16/841) (* 3 (* y 29/4)))
0.0ms	y	@	0	(* (+ (* x 3) -12/29) y)
0.0ms	x	@	-inf	(* (+ (* x 3) -12/29) y)
0.0ms	y	@	-inf	(* 3 (* y 29/4))

rewrite312.0ms (4.3%)

Memory

9.4MiB live, 512.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 674×	`lower-*.f32`
4 658×	`lower-*.f64`
3 968×	`lower-fma.f32`
3 964×	`lower-fma.f64`
2 434×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	62
0	34	56
1	99	52
2	488	52
3	4073	52
0	8438	52

Stop Event

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

Counts

12 → 862

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

Outputs
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -12/29 binary64) y)))
(+.f64 (.f64 (neg.f64 y) #s(literal 12/29 binary64)) (.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64))) (*.f64 (neg.f64 y) #s(literal 12/29 binary64)))
(+.f64 (.f64 #s(literal 12/29 binary64) (neg.f64 y)) (.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y)) (*.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -16/841 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 29/4 binary64) (.f64 (.f64 #s(literal 3 binary64) y) #s(literal -16/841 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -16/841 binary64) (.f64 y #s(literal 87/4 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 12/29 binary64) (.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64))))
(fma.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64)) (.f64 (neg.f64 y) #s(literal 12/29 binary64)))
(fma.f64 #s(literal 12/29 binary64) (neg.f64 y) (.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y) (.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 87/4 binary64) (.f64 y #s(literal -16/841 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -48/841 binary64) (.f64 y #s(literal 29/4 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal -16/841 binary64) (.f64 y #s(literal 29/4 binary64))) #s(literal 3 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal -16/841 binary64) y) #s(literal 87/4 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal -16/841 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 29/4 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))))
(/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
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simplify205.0ms (2.8%)

Memory

-32.9MiB live, 253.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 538×	`lower-fma.f64`
4 538×	`lower-fma.f32`
2 634×	`lower-*.f64`
2 634×	`lower-*.f32`
1 968×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1084
1	258	958
2	592	958
3	1268	958
4	3091	950
5	5739	950
0	8117	863

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval145.0ms (2%)

Memory: 43.7MiB live, 267.3MiB allocated
Compiler: Compiled 20 665 to 2 059 computations (90% saved)

prune191.0ms (2.6%)

Memory

-30.0MiB live, 228.6MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 196	4	1 200
Fresh	0	3	3
Picked	3	2	5
Done	0	3	3
Total	1 199	12	1 211

Accuracy

100.0%

Counts

1 211 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
▶	50.9%	(/.f64 y #s(literal -29/12 binary64))
	33.0%	(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y x)))
✓	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	50.6%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	50.7%	(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
▶	51.0%	(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
✓	50.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
▶	50.6%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	50.2%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	51.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 140 to 106 computations (24.3% saved)

simplify7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -29/12 binary64))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 87/4 binary64))
✓	cost-diff	320	(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	cost-diff	0	(*.f64 y #s(literal 29/4 binary64))
✓	cost-diff	320	(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))

Rules

60×	`lower-*.f32`
44×	`lower-*.f64`
26×	`*-commutative`
16×	`lift-*.f64`
14×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	49
0	26	45
1	40	45
2	55	45
3	57	45
0	57	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(*.f64 y #s(literal 29/4 binary64))
y
#s(literal 29/4 binary64)
#s(literal -48/841 binary64)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(*.f64 y #s(literal 87/4 binary64))
y
#s(literal 87/4 binary64)
#s(literal -16/841 binary64)
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(/.f64 y #s(literal -29/12 binary64))
y
#s(literal -29/12 binary64)

Outputs
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(*.f64 y #s(literal -12/29 binary64))
(*.f64 y #s(literal 29/4 binary64))
y
#s(literal 29/4 binary64)
#s(literal -48/841 binary64)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
x
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(*.f64 y #s(literal -12/29 binary64))
(*.f64 y #s(literal 87/4 binary64))
y
#s(literal 87/4 binary64)
#s(literal -16/841 binary64)
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(/.f64 y #s(literal -29/12 binary64))
y
#s(literal -29/12 binary64)

localize68.0ms (0.9%)

Memory

11.0MiB live, 127.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 y #s(literal -29/12 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 87/4 binary64))
✓	accuracy	99.0%	(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 29/4 binary64))
✓	accuracy	99.5%	(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 51 to 19 computations (62.7% saved)

Precisions

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

ival-mult: 11.0ms (47.9% of total)

const: 9.0ms (39.2% of total)

ival-div: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-34.4MiB live, 5.9MiB allocated

Counts

9 → 144

Calls

Call 1

Inputs
#<alt (.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))>
#<alt (*.f64 y #s(literal 29/4 binary64))>
#<alt (.f64 (.f64 #s(literal 3 binary64) y) x)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))>
#<alt (*.f64 y #s(literal 87/4 binary64))>
#<alt (.f64 (.f64 y x) #s(literal 3 binary64))>
#<alt (*.f64 y x)>
#<alt (/.f64 y #s(literal -29/12 binary64))>

Outputs
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 29/4 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 87/4 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* y x)
0.0ms	y	@	0	(* (* y 29/4) -48/841)
0.0ms	y	@	-inf	(* y x)
0.0ms	y	@	inf	(* (* y 29/4) -48/841)
0.0ms	y	@	0	(/ y -29/12)

rewrite291.0ms (4%)

Memory

12.7MiB live, 483.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 280×	`lower-fma.f64`
5 280×	`lower-fma.f32`
3 708×	`lower-*.f32`
3 692×	`lower-*.f64`
2 464×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
0	26	31
1	48	31
2	87	31
3	223	31
4	1025	31
5	7601	31
0	8813	31

Stop Event

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

Counts

9 → 1 979

Calls

Call 1

Inputs
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(*.f64 y #s(literal 29/4 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(*.f64 y #s(literal 87/4 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(/.f64 y #s(literal -29/12 binary64))

Outputs
(+.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -12/29 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -29/12 binary64) y) (.f64 y #s(literal -12/29 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal -1/2 binary64) (neg.f64 (.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 29/12 binary64) (.f64 y y))) (*.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal 29/12 binary64))) (.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 144/841 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 12/29 binary64) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 29/4 binary64) (*.f64 y #s(literal -48/841 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 29/4 binary64) (*.f64 y #s(literal 48/841 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 29/4 binary64) (/.f64 y #s(literal -841/48 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 29/4 binary64) (/.f64 (*.f64 y #s(literal -48/841 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 29/4 binary64) (/.f64 (*.f64 y #s(literal 48/841 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 29/4 binary64)) #s(literal 48/841 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -48/841 binary64) (*.f64 y #s(literal 29/4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -48/841 binary64) (*.f64 y #s(literal -29/4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -48/841 binary64) (/.f64 y #s(literal 4/29 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -48/841 binary64) (/.f64 (*.f64 y #s(literal 29/4 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -48/841 binary64) (/.f64 (*.f64 y #s(literal -29/4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 87/4 binary64) (*.f64 y #s(literal -16/841 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 87/4 binary64) (*.f64 y #s(literal 16/841 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 87/4 binary64) (/.f64 y #s(literal -841/16 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 87/4 binary64) (/.f64 (*.f64 y #s(literal -16/841 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 87/4 binary64) (/.f64 (*.f64 y #s(literal 16/841 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 87/4 binary64)) #s(literal 16/841 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -16/841 binary64) (*.f64 y #s(literal 87/4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -16/841 binary64) (*.f64 y #s(literal -87/4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -16/841 binary64) (/.f64 (*.f64 y #s(literal 87/4 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -16/841 binary64) (/.f64 y #s(literal 4/87 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -16/841 binary64) (/.f64 (*.f64 y #s(literal -87/4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -12/29 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 12/29 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -12/29 binary64) (neg.f64 y) #s(literal 0 binary64))
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(.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))))
(.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 12/29 binary64)))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -12/29 binary64)))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 29/12 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -29/12 binary64)))
(.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))))
(.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (.f64 y #s(literal -12/29 binary64)))
(.f64 (.f64 y #s(literal -29/4 binary64)) #s(literal -48/841 binary64))
(.f64 (.f64 y #s(literal -29/4 binary64)) #s(literal 48/841 binary64))
(.f64 (.f64 y #s(literal 16/841 binary64)) #s(literal 87/4 binary64))
(.f64 (.f64 y #s(literal 16/841 binary64)) #s(literal -87/4 binary64))
(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal 29/4 binary64))
(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal -29/4 binary64))
(.f64 #s(literal 48/841 binary64) (.f64 y #s(literal 29/4 binary64)))
(.f64 #s(literal 48/841 binary64) (.f64 y #s(literal -29/4 binary64)))
(.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 48/841 binary64) (/.f64 (neg.f64 y) #s(literal 4/29 binary64)))
(.f64 #s(literal 16/841 binary64) (.f64 y #s(literal 87/4 binary64)))
(.f64 #s(literal 16/841 binary64) (.f64 y #s(literal -87/4 binary64)))
(.f64 #s(literal 16/841 binary64) (/.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 16/841 binary64) (/.f64 (neg.f64 y) #s(literal 4/87 binary64)))
(.f64 (.f64 y #s(literal -87/4 binary64)) #s(literal -16/841 binary64))
(.f64 (.f64 y #s(literal -87/4 binary64)) #s(literal 16/841 binary64))
(.f64 #s(literal -29/4 binary64) (.f64 y #s(literal -48/841 binary64)))
(.f64 #s(literal -29/4 binary64) (.f64 y #s(literal 48/841 binary64)))
(.f64 #s(literal -29/4 binary64) (/.f64 (.f64 y #s(literal -48/841 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -29/4 binary64) (/.f64 (neg.f64 y) #s(literal -841/48 binary64)))
(.f64 #s(literal -87/4 binary64) (.f64 y #s(literal -16/841 binary64)))
(.f64 #s(literal -87/4 binary64) (.f64 y #s(literal 16/841 binary64)))
(.f64 #s(literal -87/4 binary64) (/.f64 (.f64 y #s(literal -16/841 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -87/4 binary64) (/.f64 (neg.f64 y) #s(literal -841/16 binary64)))
(.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1728/24389 binary64)) (/.f64 (/.f64 #s(literal -29/12 binary64) y) (*.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1728/24389 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 144/841 binary64))))
(.f64 (.f64 (*.f64 y y) #s(literal 144/841 binary64)) (/.f64 #s(literal -29/12 binary64) y))
(.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))))
(.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (/.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 12/29 binary64) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal 29/12 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal 29/12 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -29/12 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal -29/12 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y #s(literal -12/29 binary64)))
(.f64 (/.f64 (.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 12/29 binary64) y) (.f64 y (neg.f64 y)))
(.f64 (/.f64 #s(literal 12/29 binary64) (neg.f64 y)) (.f64 y y))
(.f64 (/.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 12/29 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -29/12 binary64) y) (.f64 y #s(literal -12/29 binary64)))) (/.f64 #s(literal -29/12 binary64) y))
(.f64 (.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) y)
(.f64 (.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (neg.f64 y))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal -12/29 binary64) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal -12/29 binary64) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -29/12 binary64) y) (.f64 y #s(literal -12/29 binary64)))) (/.f64 #s(literal -29/12 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y))) (neg.f64 y))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y y)) y)
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (.f64 y (neg.f64 y)))

simplify20.0ms (0.3%)

Memory

4.6MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`lower-*.f64`
36×	`lower-*.f32`
16×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	528
1	20	528
2	25	528
0	25	528

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 29/4 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 87/4 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 87/4 y)
(*.f64 y #s(literal 87/4 binary64))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)

eval248.0ms (3.4%)

Memory: 71.7MiB live, 503.8MiB allocated
Compiler: Compiled 20 737 to 1 502 computations (92.8% saved)

prune200.0ms (2.8%)

Memory

-17.3MiB live, 283.0MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	2 120	3	2 123
Fresh	1	1	2
Picked	1	4	5
Done	1	4	5
Total	2 123	12	2 135

Accuracy

100.0%

Counts

2 135 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(/.f64 (.f64 (.f64 y y) (*.f64 #s(literal 3 binary64) x)) y)
	50.5%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	50.6%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	50.7%	(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
✓	51.0%	(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
	51.0%	(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal -29/4 binary64))
✓	50.6%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	50.2%	(.f64 (.f64 #s(literal 3 binary64) x) y)
	3.0%	(*.f64 y #s(literal 12/29 binary64))
✓	51.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 226 to 131 computations (42% saved)

regimes36.0ms (0.5%)

Memory

-9.7MiB live, 66.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal 12/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal -29/4 binary64))
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal 29/4 binary64))))
(/.f64 y (/.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 (.f64 (.f64 y y) (*.f64 #s(literal 3 binary64) x)) y)
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y x)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 #s(literal 3 binary64) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))))

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

Calls

5 calls:

8.0ms	y
7.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
7.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
7.0ms	x
6.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.6%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.6%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes24.0ms (0.3%)

Memory

15.7MiB live, 54.8MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal 12/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal -29/4 binary64))
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(literal -29/12 binary64))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.6%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.6%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes24.0ms (0.3%)

Memory

-0.8MiB live, 40.4MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal 12/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal -29/4 binary64))
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(literal -29/12 binary64))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.4%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.4%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes41.0ms (0.6%)

Memory

-7.8MiB live, 31.1MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal 12/29 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 48/841 binary64)) #s(literal -29/4 binary64))
(.f64 (.f64 y #s(literal 29/4 binary64)) #s(literal -48/841 binary64))
(.f64 (.f64 y #s(literal 87/4 binary64)) #s(literal -16/841 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))

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

Calls

5 calls:

25.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
4.0ms	x
4.0ms	y
4.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.4%	3	`x`
62.9%	3	`y`
78.6%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.4%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.4%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory

-23.7MiB live, 15.5MiB allocated

Accuracy

Total -31.4b remaining (-100.5%)

Threshold costs -31.4b (-100.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal 12/29 binary64))

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

Calls

5 calls:

13.0ms	y
2.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms	x
1.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
51.1%	1	`y`
51.1%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
51.1%	1	`x`
51.1%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
51.1%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.137733858352264	23024922.839191787
0.0ms	-15.049351492010363	-0.14555353633165694

Compiler

Compiled 14 to 14 computations (0% saved)

simplify7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	52
1	36	52
2	45	52
3	51	52
4	56	52
5	58	52

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.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)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(*.f64 #s(literal -12/29 binary64) y)

Outputs
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -12/29 binary64))

soundness1.0s (13.8%)

Memory

7.4MiB live, 296.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 106 to 64 computations (39.6% saved)

preprocess107.0ms (1.5%)

Memory: -19.9MiB live, 138.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 220 to 138 computations (37.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	86
0	34	80
1	54	76
2	94	76
3	213	76
4	444	76
5	545	76
6	557	75
7	562	75
8	572	75
9	585	75
10	598	75
11	614	75
12	627	75
13	647	75
14	684	75
15	739	75
16	776	75
17	781	75
0	781	75

Iter	Nodes	Cost
0	20	86
0	34	80
1	54	76
2	94	76
3	213	76
4	444	76
5	545	76
6	557	75
7	562	75
8	572	75
9	585	75
10	598	75
11	614	75
12	627	75
13	647	75
14	684	75
15	739	75
16	776	75
17	781	75
0	781	75

analyze0.0ms (0%)

sample800.0ms (11%)

preprocess55.0ms (0.8%)

explain101.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize46.0ms (0.6%)

series4.0ms (0.1%)

rewrite343.0ms (4.7%)

simplify382.0ms (5.3%)

eval68.0ms (0.9%)

prune76.0ms (1%)

simplify16.0ms (0.2%)

localize107.0ms (1.5%)

series19.0ms (0.3%)

rewrite372.0ms (5.1%)

simplify374.0ms (5.2%)

eval882.0ms (12.2%)

prune498.0ms (6.9%)

simplify38.0ms (0.5%)

localize91.0ms (1.3%)

series11.0ms (0.2%)

rewrite312.0ms (4.3%)

simplify205.0ms (2.8%)

eval145.0ms (2%)

prune191.0ms (2.6%)

simplify7.0ms (0.1%)

localize68.0ms (0.9%)

series5.0ms (0.1%)

rewrite291.0ms (4%)

simplify20.0ms (0.3%)

eval248.0ms (3.4%)

prune200.0ms (2.8%)

regimes36.0ms (0.5%)

regimes24.0ms (0.3%)

regimes24.0ms (0.3%)

regimes41.0ms (0.6%)

regimes20.0ms (0.3%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (13.8%)

preprocess107.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	86
0	34	80
1	54	76
2	94	76
3	213	76
4	444	76
5	545	76
6	557	75
7	562	75
8	572	75
9	585	75
10	598	75
11	614	75
12	627	75
13	647	75
14	684	75
15	739	75
16	776	75
17	781	75
0	781	75