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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.0s (12.1%)

Memory

21.8MiB live, 1 131.4MiB allocated

Samples

665.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 126.0ms (48.8% of total)

ival-div: 74.0ms (28.6% of total)

ival-sub: 38.0ms (14.7% of total)

exact: 11.0ms (4.3% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess54.0ms (0.7%)

Memory

-18.2MiB live, 38.0MiB 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)

explain133.0ms (1.6%)

Memory

2.2MiB live, 115.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

57.0ms	478×	0	valid
2.0ms	14×	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: 46.0ms

ival-sub: 34.0ms (73.4% of total)

ival-mult: 6.0ms (13% of total)

ival-div: 5.0ms (10.8% of total)

adjust: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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

localize37.0ms (0.4%)

Memory

8.8MiB live, 50.0MiB 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	99.9%	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

13.0ms	239×	0	valid
1.0ms	7×	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: 8.0ms

ival-mult: 3.0ms (38.3% of total)

ival-div: 2.0ms (25.5% of total)

ival-sub: 1.0ms (12.8% 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%)

Memory

8.3MiB live, 8.3MiB 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)
0.0ms	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)

rewrite500.0ms (6%)

Memory

-23.5MiB live, 365.8MiB 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))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
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(.f64 (/.f64 (fma.f64 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)))

simplify435.0ms (5.3%)

Memory

31.0MiB live, 231.4MiB 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))

eval243.0ms (2.9%)

Memory: -23.7MiB live, 92.6MiB allocated
Compiler: Compiled 16 437 to 1 806 computations (89% saved)

prune74.0ms (0.9%)

Memory

-1.0MiB live, 197.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

554 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
▶	99.5%	(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
	99.5%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
▶	99.8%	(*.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))
▶	54.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
	54.5%	(.f64 #s(literal 3 binary64) (.f64 x y))
▶	47.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 160 to 116 computations (27.5% saved)

simplify7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

60×	`lower-*.f32`
44×	`lower-*.f64`
36×	`lower-fma.f32`
30×	`lower-fma.f64`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	73
0	29	65
1	49	65
2	65	65
3	74	65
4	75	65
0	75	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (0.9%)

Memory

10.7MiB live, 163.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.8%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.8%	(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	accuracy	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

41.0ms	239×	0	valid
3.0ms	10×	1	valid
3.0ms	7×	2	valid

Compiler

Compiled 79 to 20 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 16.0ms (58.5% of total)

const: 7.0ms (25.6% of total)

ival-add: 4.0ms (14.6% of total)

adjust: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-28.5MiB live, 20.9MiB allocated

Counts

11 → 192

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

Calls

48 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(* y -4/29)
2.0ms	x	@	0	(* (* 3 x) y)
1.0ms	x	@	0	(* (+ (* x 3) -12/29) y)
1.0ms	y	@	0	(* (+ (* x 3) -12/29) y)
0.0ms	x	@	inf	(* (* 3 x) y)

rewrite812.0ms (9.8%)

Memory

-117.2MiB live, 813.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 752×	`lower-fma.f32`
9 746×	`lower-fma.f64`
5 560×	`lower-*.f32`
5 544×	`lower-*.f64`
3 972×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
0	29	45
1	92	45
2	599	45
3	5128	45
0	9239	45

Stop Event

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

Counts

11 → 1 025

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(*.f64 y x)
(*.f64 y #s(literal -4/29 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 3 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (+.f64 x #s(literal 4/29 binary64))))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (+.f64 x #s(literal 4/29 binary64))))) (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 144/841 binary64) (.f64 y y)) (.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (+.f64 x #s(literal 4/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 y (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(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 (.f64 x (.f64 (.f64 x y) #s(literal 9 binary64))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 y (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 y)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x y) (/.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(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 x (.f64 #s(literal 3 binary64) y)) (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 y (+.f64 x #s(literal 4/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(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 (.f64 #s(literal 3 binary64) y) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 #s(literal 9 binary64) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 y (+.f64 x #s(literal 4/29 binary64)))) (neg.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))))
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(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) y)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 144/841 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) y)) (neg.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal -5159780352/14507145975869 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y)))))) (neg.f64 (fma.f64 (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 16/841 binary64) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (.f64 y (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 y (+.f64 x #s(literal -4/29 binary64))))
(*.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)))
(.f64 y (.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(.f64 y (.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (.f64 (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal 4/29 binary64))))))
(.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (/.f64 (.f64 y (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)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) y))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)) (/.f64 y (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (*.f64 y y)))))
(.f64 (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y))) (.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (*.f64 y y))))))
(.f64 (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y))) (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y)))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) y))
(.f64 (.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal 4/29 binary64)))))
(.f64 (.f64 y (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(.f64 (neg.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (*.f64 y y))))))
(.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))
(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (+.f64 x #s(literal 4/29 binary64)))) (.f64 (.f64 y y) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))
(.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))))
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 y (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #s(literal 3 binary64)) (/.f64 (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (.f64 y (+.f64 x #s(literal 4/29 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) y) (/.f64 (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (.f64 #s(literal 3 binary64) y)) (/.f64 (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))
(.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) (fma.f64 (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) (.f64 (.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) (.f64 y (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))))) (.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (.f64 (.f64 #s(literal -12/29 binary64) (.f64 y y)) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) (-.f64 (.f64 (.f64 #s(literal -12/29 binary64) (.f64 y y)) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))) (.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y)))) #s(literal 81 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) (.f64 (fma.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) (.f64 y (+.f64 x #s(literal 4/29 binary64))) (.f64 #s(literal 144/841 binary64) (.f64 y y))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 y (.f64 (.f64 x y) #s(literal -36/29 binary64)))))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 y (.f64 (.f64 x y) #s(literal -36/29 binary64)))))
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1728/24389 binary64)))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (fma.f64 x x #s(literal 16/841 binary64)) (.f64 y (.f64 (.f64 x y) #s(literal -36/29 binary64)))))
(.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1728/24389 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -36/29 binary64) #s(literal 144/841 binary64))))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (fma.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 x #s(literal -36/29 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 x #s(literal -36/29 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal -12/29 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -12/29 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -12/29 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal -4/29 binary64)))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 #s(literal -4/29 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -12/29 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 y #s(literal -4/29 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -12/29 binary64))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 #s(literal -4/29 binary64))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) y))))
(*.f64 x y)
(*.f64 y x)
(*.f64 y #s(literal -4/29 binary64))
(*.f64 #s(literal -4/29 binary64) y)

simplify303.0ms (3.7%)

Memory

15.0MiB live, 363.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 144×	`lower-fma.f64`
3 144×	`lower-fma.f32`
2 200×	`lower-*.f64`
2 200×	`lower-*.f32`
2 080×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	1030
1	103	904
2	271	904
3	516	904
4	748	904
5	1371	904
6	3228	904
7	4499	904
8	5145	904
9	5317	904
10	5370	904
11	5422	904
12	6480	904
13	6867	904
14	6891	904
15	6921	904
16	6955	904
17	6967	904
18	7087	904
19	7605	904
20	7605	904
21	7605	904
0	8149	832

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval189.0ms (2.3%)

Memory: 24.2MiB live, 375.9MiB allocated
Compiler: Compiled 32 507 to 1 333 computations (95.9% saved)

prune110.0ms (1.3%)

Memory

-9.4MiB live, 190.8MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 238	6	1 244
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 243	10	1 253

Accuracy

100.0%

Counts

1 253 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
▶	99.7%	(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	46.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
▶	54.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	54.5%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	47.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	54.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	47.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 140 to 105 computations (25% saved)

simplify7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

60×	`lower-*.f32`
44×	`lower-*.f64`
36×	`lower-fma.f32`
34×	`lower-fma.f64`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	23	58
1	35	57
2	50	57
3	66	57
4	72	57
0	72	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize300.0ms (3.6%)

Memory

3.8MiB live, 120.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.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 x y)
✓	accuracy	99.6%	(.f64 (.f64 x y) #s(literal 3 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 #s(literal 3 binary64) y)
✓	accuracy	99.2%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	99.8%	(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))

Samples

143.0ms

256×

valid

Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 100.0ms (76.7% of total)

ival-add: 24.0ms (18.4% of total)

const: 6.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-30.5MiB live, 9.0MiB allocated

Counts

9 → 156

Calls

Call 1

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

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(+ (* (* x y) 3) (* -12/29 y))
0.0ms	y	@	0	(* 3 y)
0.0ms	y	@	inf	(* 3 y)
0.0ms	y	@	-inf	(* 3 y)
0.0ms	y	@	inf	(+ (* (* x y) 3) (* -12/29 y))

rewrite1.3s (15.4%)

Memory

17.8MiB live, 1 070.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

17 416×	`lower-fma.f32`
17 414×	`lower-fma.f64`
6 042×	`lower-*.f32`
6 026×	`lower-*.f64`
3 186×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
0	23	36
1	47	35
2	295	35
3	3379	35
0	8886	34

Stop Event

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

Counts

9 → 277

Calls

Call 1

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

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

simplify407.0ms (4.9%)

Memory

-17.0MiB live, 344.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 128×	`lower-/.f32`
5 128×	`lower-/.f64`
4 212×	`associate-*r/`
2 920×	`lower-fma.f64`
2 920×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	694
1	79	652
2	212	652
3	384	652
4	537	652
5	1195	652
6	2281	652
7	4279	652
8	5376	652
9	5852	652
10	5941	652
11	5951	652
12	5965	652
13	6339	652
14	6482	652
15	6488	652
16	6488	652
17	6488	652
18	6488	652
19	6888	652
20	7405	652
21	7735	652
22	7795	652
23	7803	652
24	7803	652
0	10061	631

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval55.0ms (0.7%)

Memory: -15.9MiB live, 98.8MiB allocated
Compiler: Compiled 9 515 to 705 computations (92.6% saved)

prune56.0ms (0.7%)

Memory

32.8MiB live, 70.5MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	472	1	473
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	473	10	483

Accuracy

100.0%

Counts

483 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 y #s(literal 3 binary64))))
✓	99.7%	(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	46.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	54.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	54.5%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	47.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	54.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	47.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 80 to 60 computations (25% saved)

simplify45.0ms (0.5%)

Memory

-20.3MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

96×	`lower-*.f32`
90×	`lower-*.f64`
64×	`lower-/.f32`
64×	`lower-fma.f32`
60×	`lower-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	22	46
1	37	42
2	57	42
3	80	42
4	104	42
5	107	41
6	112	41
7	122	41
8	135	41
9	148	41
10	158	41
11	165	41
12	170	41
13	170	41
0	170	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

-1.2MiB live, 82.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.7%	(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 y #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 x (.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓	accuracy	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))

Samples

33.0ms	239×	0	valid
5.0ms	10×	1	valid
2.0ms	7×	2	valid

Compiler

Compiled 54 to 17 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 8.0ms (27.8% of total)

ival-div: 7.0ms (24.3% of total)

const: 7.0ms (24.3% of total)

ival-add: 6.0ms (20.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

7 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ 1 (+ (* x 3) -12/29))
0.0ms	x	@	-inf	(/ 1 (+ (* x 3) -12/29))
0.0ms	x	@	0	(/ 1 (+ (* x 3) -12/29))
0.0ms	y	@	0	(/ y (/ 1 (+ (* x 3) -12/29)))
0.0ms	y	@	inf	(+ (* (* y -4/29) 3) (* x (* y 3)))

rewrite378.0ms (4.6%)

Memory

16.9MiB live, 563.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 352×	`lower-fma.f32`
8 348×	`lower-fma.f64`
6 166×	`lower-*.f32`
6 160×	`lower-*.f64`
2 006×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	37
1	78	33
2	491	33
3	5089	33
0	8994	33

Stop Event

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

Counts

7 → 678

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64))) (.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal 3 binary64)))))
(+.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 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))))
(-.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))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) #s(literal 1 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (/.f64 (.f64 #s(literal 144/841 binary64) y) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4/29 binary64) (.f64 y (.f64 y #s(literal -12/29 binary64)))) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 16/841 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal -4/29 binary64) (.f64 y (.f64 y #s(literal -12/29 binary64)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 #s(literal -12/29 binary64) y (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) (/.f64 (.f64 y #s(literal -36/29 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 y)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 y #s(literal -12/29 binary64)) (/.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(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 (.f64 y (.f64 y #s(literal 144/841 binary64))) (/.f64 #s(literal 1/3 binary64) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.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 #s(literal 9 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 16/841 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 16/841 binary64)) (/.f64 #s(literal 9 binary64) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y) (.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(fma.f64 (.f64 y (.f64 y #s(literal -12/29 binary64))) (/.f64 #s(literal -12/29 binary64) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 y #s(literal -36/29 binary64)) (/.f64 (.f64 y #s(literal -4/29 binary64)) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 #s(literal -4/29 binary64) (.f64 y (.f64 y #s(literal -12/29 binary64)))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 144/841 binary64) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 y #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 144/841 binary64) y) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 y #s(literal -36/29 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y y) #s(literal 3 binary64)) (/.f64 #s(literal 144/841 binary64) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 9 binary64) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal -12/29 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -12/29 binary64) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y #s(literal -36/29 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 y #s(literal -4/29 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 #s(literal -4/29 binary64) (.f64 y (.f64 y #s(literal -12/29 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (.f64 (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)) (.f64 y (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))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 144/841 binary64))) (-.f64 (.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 y x)) (.f64 y (+.f64 x #s(literal -4/29 binary64))) (.f64 y (.f64 y #s(literal 144/841 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 (.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -12/29 binary64))) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 #s(literal -4/29 binary64))) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 (.f64 y #s(literal -4/29 binary64)))) (exp.f64 (log.f64 #s(literal 3 binary64))) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 y x))) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 y #s(literal -4/29 binary64)))) (.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 #s(literal -12/29 binary64))) (exp.f64 (log.f64 y)) (.f64 y (.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 #s(literal -4/29 binary64))) (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (.f64 y (*.f64 x #s(literal 3 binary64))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1728/24389 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) (neg.f64 (fma.f64 y (.f64 #s(literal 144/841 binary64) y) (.f64 (.f64 y #s(literal 3 binary64)) (.f64 x (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))))))
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(.f64 (.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 y)))
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(.f64 (exp.f64 (log.f64 (.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(.f64 (exp.f64 (log.f64 y)) (.f64 x #s(literal 3 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 y x))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
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(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))

simplify208.0ms (2.5%)

Memory

-3.1MiB live, 307.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 590×	`lower-fma.f64`
5 590×	`lower-fma.f32`
2 202×	`lower-*.f64`
2 202×	`lower-*.f32`
1 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	676
1	224	676
2	514	676
3	995	676
4	1672	668
5	3296	668
6	6724	668
0	8130	609

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -16/2523 binary64) (/.f64 #s(literal -64/73167 binary64) x)) #s(literal -4/87 binary64)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -16/2523 binary64) (/.f64 #s(literal -64/73167 binary64) x)) #s(literal -4/87 binary64)) x)) x)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 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)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(.f64 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)))
(* -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))
(* 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))

eval93.0ms (1.1%)

Memory: 21.3MiB live, 150.8MiB allocated
Compiler: Compiled 17 093 to 1 388 computations (91.9% saved)

prune98.0ms (1.2%)

Memory

-34.2MiB live, 123.5MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	796	2	798
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	797	11	808

Accuracy

100.0%

Counts

808 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
✓	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
	54.4%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
	46.9%	(/.f64 y #s(literal -29/12 binary64))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	46.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	54.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	54.5%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	47.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	54.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	47.1%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 209 to 108 computations (48.3% saved)

regimes31.0ms (0.4%)

Memory

27.4MiB live, 64.7MiB allocated

Counts

19 → 1

Calls

Call 1

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

Calls

5 calls:

8.0ms	y
6.0ms	x
6.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes16.0ms (0.2%)

Memory

-5.7MiB live, 38.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
3.0ms	y
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	x
3.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
97.5%	3	`x`
61.4%	3	`y`
78.3%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.5%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.5%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

3 calls:

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

Results

Accuracy	Segments	Branch
97.4%	3	`x`
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 19 to 16 computations (15.8% saved)

regimes8.0ms (0.1%)

Memory

-12.6MiB live, 26.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
47.1%	1	`y`
47.1%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
47.1%	1	`x`
47.1%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
47.1%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793103447779934	0.6244983940629876
0.0ms	-2.0264661737333562	-0.13798300592607285

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793103447779934	0.6244983940629876
0.0ms	-2.0264661737333562	-0.13798300592607285

Compiler

Compiled 14 to 14 computations (0% saved)

simplify10.0ms (0.1%)

Memory

-14.1MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	31	67
2	40	67
3	46	67
4	51	67
5	53	67

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.2s (13.9%)

Memory

-10.6MiB live, 317.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 106 to 51 computations (51.9% saved)

preprocess64.0ms (0.8%)

Memory: 27.8MiB live, 139.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 194 to 90 computations (53.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	48
0	22	46
1	37	42
2	57	42
3	80	42
4	104	42
5	107	41
6	112	41
7	122	41
8	135	41
9	148	41
10	158	41
11	165	41
12	170	41
13	170	41
0	170	41

Iter	Nodes	Cost
0	13	48
0	22	46
1	37	42
2	57	42
3	80	42
4	104	42
5	107	41
6	112	41
7	122	41
8	135	41
9	148	41
10	158	41
11	165	41
12	170	41
13	170	41
0	170	41

analyze0.0ms (0%)

sample1.0s (12.1%)

preprocess54.0ms (0.7%)

explain133.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize37.0ms (0.4%)

series4.0ms (0%)

rewrite500.0ms (6%)

simplify435.0ms (5.3%)

eval243.0ms (2.9%)

prune74.0ms (0.9%)

simplify7.0ms (0.1%)

localize71.0ms (0.9%)

series18.0ms (0.2%)

rewrite812.0ms (9.8%)

simplify303.0ms (3.7%)

eval189.0ms (2.3%)

prune110.0ms (1.3%)

simplify7.0ms (0.1%)

localize300.0ms (3.6%)

series10.0ms (0.1%)

rewrite1.3s (15.4%)

simplify407.0ms (4.9%)

eval55.0ms (0.7%)

prune56.0ms (0.7%)

simplify45.0ms (0.5%)

localize56.0ms (0.7%)

series3.0ms (0%)

rewrite378.0ms (4.6%)

simplify208.0ms (2.5%)

eval93.0ms (1.1%)

prune98.0ms (1.2%)

regimes31.0ms (0.4%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.2s (13.9%)

preprocess64.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	48
0	22	46
1	37	42
2	57	42
3	80	42
4	104	42
5	107	41
6	112	41
7	122	41
8	135	41
9	148	41
10	158	41
11	165	41
12	170	41
13	170	41
0	170	41