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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample720.0ms (9%)

Memory

31.6MiB live, 1 054.8MiB allocated

Samples

469.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-mult: 140.0ms (47.9% of total)

ival-div: 87.0ms (29.8% of total)

ival-sub: 45.0ms (15.4% of total)

exact: 11.0ms (3.8% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess78.0ms (1%)

Memory

-30.7MiB live, 57.3MiB 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)

explain91.0ms (1.1%)

Memory

10.3MiB live, 166.8MiB 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

34.0ms	486×	0	valid
2.0ms	12×	2	valid
2.0ms	14×	1	valid

Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (40.9% of total)

ival-mult: 7.0ms (35.8% of total)

ival-sub: 3.0ms (15.3% of total)

exact: 1.0ms (5.1% of total)

adjust: 0.0ms (0% 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

1.3MiB live, 1.3MiB 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)

simplify7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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

localize118.0ms (1.5%)

Memory

-28.0MiB live, 48.2MiB 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

106.0ms	243×	0	valid
1.0ms	6×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 95.0ms (94.8% of total)

ival-mult: 3.0ms (3% of total)

ival-sub: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite521.0ms (6.5%)

Memory

28.0MiB live, 387.1MiB 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)))

simplify342.0ms (4.3%)

Memory

-2.7MiB live, 154.7MiB 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))

eval170.0ms (2.1%)

Memory: 8.2MiB live, 125.0MiB allocated
Compiler: Compiled 16 437 to 1 806 computations (89% saved)

prune186.0ms (2.3%)

Memory

-29.2MiB live, 109.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

554 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
▶	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)
	99.7%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
▶	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	50.5%	(.f64 (.f64 #s(literal 3 binary64) x) y)
	50.5%	(.f64 #s(literal 3 binary64) (.f64 x y))
▶	50.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 130 to 98 computations (24.6% saved)

simplify42.0ms (0.5%)

Memory

-22.5MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓	cost-diff	896	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	cost-diff	128	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	cost-diff	0	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal 3 binary64)))
✓	cost-diff	320	(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	31	73
1	50	73
2	71	73
3	106	72
4	124	72
5	134	72
6	146	72
7	159	72
8	169	72
9	176	72
10	181	72
11	181	72
0	181	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize135.0ms (1.7%)

Memory

13.1MiB live, 90.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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	99.6%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	accuracy	99.7%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	accuracy	99.9%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 y (.f64 x #s(literal 3 binary64)))

Samples

73.0ms	243×	0	valid
40.0ms	6×	2	valid
2.0ms	7×	1	valid

Compiler

Compiled 84 to 21 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 85.0ms (84.6% of total)

const: 7.0ms (7% of total)

ival-div: 4.0ms (4% of total)

ival-add: 4.0ms (4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

12 → 216

Calls

Call 1

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

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x 3)
1.0ms	y	@	0	(+ (* y -12/29) (* y (* x 3)))
1.0ms	y	@	inf	(+ (* y -12/29) (* y (* x 3)))
1.0ms	y	@	-inf	(+ (* y -12/29) (* y (* x 3)))
0.0ms	x	@	-inf	(/ y (/ 1 (+ (* x 3) -12/29)))

rewrite621.0ms (7.8%)

Memory

-29.7MiB live, 530.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 232×	`lower-fma.f32`
7 228×	`lower-fma.f64`
5 192×	`lower-*.f32`
5 178×	`lower-*.f64`
2 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	60
0	31	55
1	105	55
2	628	55
3	6376	55
0	8145	55

Stop Event

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

Counts

12 → 1 190

Calls

Call 1

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

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

simplify733.0ms (9.2%)

Memory

11.8MiB live, 251.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 074×	`lower-fma.f64`
7 074×	`lower-fma.f32`
2 492×	`lower-*.f64`
2 492×	`lower-*.f32`
2 114×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1136
1	289	1136
2	698	1136
3	1364	1136
4	3556	1128
5	5902	1128
0	8013	1050

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

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

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)))
(* -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)))
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(*.f64 y #s(literal -12/29 binary64))
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(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
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(*.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))
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(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.f64 y (.f64 #s(literal 3 binary64) x))
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(.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 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(.f64 y (.f64 #s(literal 3 binary64) x))
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(.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 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)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
-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))
(* 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 (+.f64 (+.f64 #s(literal -4/87 binary64) (/.f64 #s(literal -16/2523 binary64) x)) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -4/87 binary64) (/.f64 #s(literal -16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (+.f64 #s(literal -4/87 binary64) (/.f64 #s(literal -16/2523 binary64) x)) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x))) x)) x)
-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))

eval737.0ms (9.2%)

Memory: 33.7MiB live, 218.6MiB allocated
Compiler: Compiled 26 471 to 1 921 computations (92.7% saved)

prune127.0ms (1.6%)

Memory

-14.9MiB live, 310.1MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 398	6	1 404
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 402	10	1 412

Accuracy

100.0%

Counts

1 412 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
	50.4%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
▶	50.4%	(/.f64 y #s(literal -29/12 binary64))
▶	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
	99.7%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	50.5%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	50.5%	(.f64 (.f64 y #s(literal 3 binary64)) x)
▶	50.4%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	50.5%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	50.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify8.0ms (0.1%)

Memory

-16.6MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -29/12 binary64))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	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	(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`
46×	`lower-*.f64`
36×	`lower-fma.f32`
34×	`lower-fma.f64`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
0	25	50
1	38	50
2	47	50
3	55	50
4	63	50
5	68	50
0	68	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.7%)

Memory

30.4MiB live, 148.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 y #s(literal -29/12 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.6%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	accuracy	99.9%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.5%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(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

37.0ms	243×	0	valid
2.0ms	6×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 56 to 18 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (46.2% of total)

const: 10.0ms (38.5% of total)

ival-div: 2.0ms (7.7% of total)

ival-add: 1.0ms (3.9% 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)

series12.0ms (0.2%)

Memory

-3.1MiB live, 35.5MiB allocated

Counts

9 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite354.0ms (4.4%)

Memory

-12.6MiB live, 617.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 238×	`lower-fma.f32`
6 236×	`lower-fma.f64`
4 968×	`lower-/.f32`
4 966×	`lower-/.f64`
4 080×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
0	25	35
1	60	35
2	224	35
3	1519	35
0	8186	35

Stop Event

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

Counts

9 → 438

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 y #s(literal -4/29 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(/.f64 y #s(literal -29/12 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 x (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y)) (-.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (.f64 #s(literal 3 binary64) y)))) (/.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (.f64 #s(literal 3 binary64) y)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal 12/29 binary64)))) (/.f64 (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y)) (fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal 12/29 binary64)))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.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 x y) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 12/29 binary64) (neg.f64 y) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 12/29 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y) (-.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (.f64 #s(literal 3 binary64) y))))) (fma.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 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y)) (-.f64 (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y)) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal -12/29 binary64) y)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 #s(literal -1728/24389 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 x (.f64 #s(literal 3 binary64) y))) (-.f64 (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y)) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (*.f64 #s(literal 3 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal 12/29 binary64))) (-.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 36/29 binary64)) #s(literal 144/841 binary64))) (.f64 y (-.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)) (.f64 y (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) (.f64 y (-.f64 #s(literal 144/841 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 36/29 binary64)) #s(literal 144/841 binary64))) (.f64 (-.f64 #s(literal 1728/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)) (.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y))))
(/.f64 (.f64 y (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 36/29 binary64)) #s(literal 144/841 binary64)))
(/.f64 (.f64 y (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 (neg.f64 (.f64 y (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 36/29 binary64)) #s(literal 144/841 binary64))))
(/.f64 (neg.f64 (.f64 y (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)))
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(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal -29/12 binary64))
(/.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) #s(literal 29/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -29/12 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 29/12 binary64) y))
(/.f64 #s(literal 12/29 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y #s(literal 12/29 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal 12/29 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 0 binary64) (*.f64 y #s(literal 12/29 binary64))))))
(pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -29/12 binary64) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -29/12 binary64) y) (/.f64 #s(literal -29/12 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.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 -12/29 binary64) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (neg.f64 y) #s(literal 12/29 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 12/29 binary64)))
(*.f64 #s(literal 12/29 binary64) (neg.f64 y))
(*.f64 #s(literal 12/29 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 12/29 binary64))
(*.f64 y #s(literal -4/29 binary64))
(*.f64 #s(literal -4/29 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 y #s(literal -4/29 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x y)
(*.f64 y x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -12/29 binary64) y))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal -12/29 binary64) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 12/29 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal 12/29 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 y #s(literal 12/29 binary64)))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal -29/12 binary64))
(/.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) #s(literal 29/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -29/12 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 29/12 binary64) y))
(/.f64 #s(literal 12/29 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y #s(literal 12/29 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal 12/29 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 0 binary64) (*.f64 y #s(literal 12/29 binary64))))))
(pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -29/12 binary64) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -29/12 binary64) y) (/.f64 #s(literal -29/12 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.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 -12/29 binary64) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (neg.f64 y) #s(literal 12/29 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -12/29 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 12/29 binary64)))
(*.f64 #s(literal 12/29 binary64) (neg.f64 y))
(*.f64 #s(literal 12/29 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 12/29 binary64))

simplify304.0ms (3.8%)

Memory

0.2MiB live, 263.9MiB 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	34	710
1	87	668
2	208	668
3	445	668
4	726	668
5	1334	668
6	3235	668
7	4529	668
8	5169	668
9	5340	668
10	5393	668
11	5445	668
12	6503	668
13	6921	668
14	6945	668
15	6975	668
16	7008	668
17	7020	668
18	7148	668
19	7666	668
20	7666	668
21	7666	668
0	8210	638

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

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

eval85.0ms (1.1%)

Memory: -0.1MiB live, 192.0MiB allocated
Compiler: Compiled 12 076 to 1 200 computations (90.1% saved)

prune57.0ms (0.7%)

Memory

-8.0MiB live, 150.4MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	593	1	594
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	593	11	604

Accuracy

100.0%

Counts

604 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
▶	50.4%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	50.4%	(/.f64 y #s(literal -29/12 binary64))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	99.7%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	50.5%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	50.5%	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	50.4%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
▶	50.4%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	50.5%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	50.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 79 to 60 computations (24.1% saved)

simplify8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	384	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	128	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))

Rules

68×	`lower-*.f32`
60×	`lower-*.f64`
36×	`lower-fma.f64`
36×	`lower-fma.f32`
26×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	19	39
1	30	37
2	54	37
3	75	37
4	82	37
0	82	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.5%)

Memory

4.7MiB live, 82.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.7%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (32.1% of total)

const: 6.0ms (32.1% of total)

ival-div: 3.0ms (16.1% of total)

ival-add: 2.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-26.6MiB live, 13.7MiB allocated

Counts

7 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
14.0ms	y	@	-inf	(* 3 y)
0.0ms	x	@	-inf	(* (+ x -4/29) (* y 3))
0.0ms	y	@	-inf	(* y 3)
0.0ms	y	@	inf	(* (+ x -4/29) (* y 3))
0.0ms	y	@	-inf	(* (+ x -4/29) (* y 3))

rewrite286.0ms (3.6%)

Memory

30.5MiB live, 545.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 344×	`lower-/.f32`
5 340×	`lower-/.f64`
3 160×	`lower-*.f32`
3 152×	`lower-*.f64`
2 768×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	19	29
1	60	27
2	285	27
3	1998	27
0	8168	26

Stop Event

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

Counts

7 → 663

Calls

Call 1

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

Outputs
(/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -4/29 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 y) #s(literal -4/29 binary64))))
(/.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 4/29 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 (*.f64 #s(literal -4/29 binary64) (neg.f64 y)) #s(literal -1/3 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal -4/29 binary64)) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal -4/29 binary64))) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4/29 binary64) (neg.f64 y))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal -4/29 binary64))) #s(literal 1/3 binary64))
(.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)))
(*.f64 y #s(literal -12/29 binary64))
(.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -12/29 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 y #s(literal -3 binary64)))
(/.f64 y #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y #s(literal -3 binary64)) (.f64 y #s(literal -3 binary64)) (.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))))))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -3 binary64)))
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) (*.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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) x))) (/.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) x)) #s(literal 1/3 binary64))) (/.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) x)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) x)))) (/.f64 (neg.f64 y) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (.f64 y x)))) (/.f64 (.f64 (.f64 y (.f64 x #s(literal -3 binary64))) (.f64 y (.f64 x #s(literal -3 binary64)))) (-.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (.f64 y x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 x #s(literal -3 binary64))) (.f64 y (.f64 x #s(literal -3 binary64)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) (.f64 y #s(literal -12/29 binary64)))) (/.f64 (.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 y #s(literal -12/29 binary64))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) (.f64 y #s(literal -12/29 binary64)))))
(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 y #s(literal -12/29 binary64)))
(fma.f64 y (.f64 #s(literal 3 binary64) x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) (.f64 y x)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (neg.f64 x) (.f64 y #s(literal -3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 y x)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 x #s(literal -3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 #s(literal 3 binary64) (.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 y #s(literal -3 binary64)) (neg.f64 x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 (neg.f64 y) x) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)) (*.f64 y #s(literal -12/29 binary64)))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 #s(literal 1/3 binary64) x))
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 x #s(literal -3 binary64))) (.f64 y (.f64 x #s(literal -3 binary64))) (.f64 #s(literal 0 binary64) (.f64 y (*.f64 x #s(literal -3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 (.f64 y (.f64 x #s(literal -3 binary64))) (.f64 y (.f64 x #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 y (*.f64 x #s(literal -3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (neg.f64 x) (.f64 y #s(literal -3 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -3 binary64))))
(.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y))
(.f64 (.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal -3 binary64)) (neg.f64 x))
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 y) x))
(*.f64 #s(literal -3 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 x #s(literal -3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))) (neg.f64 x))
(.f64 (.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 x #s(literal -3 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

simplify288.0ms (3.6%)

Memory

-15.7MiB live, 344.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 976×	`lower-fma.f64`
3 976×	`lower-fma.f32`
2 616×	`lower-*.f64`
2 616×	`lower-*.f32`
1 568×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	496
1	90	454
2	235	454
3	494	454
4	1359	454
5	2526	454
6	3825	454
7	4412	454
8	4572	454
9	4585	454
10	4587	454
11	5455	454
12	6529	454
13	7099	454
14	7346	454
15	7346	454
16	7346	454
17	7958	454
0	8042	433

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

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

eval95.0ms (1.2%)

Memory: 25.4MiB live, 255.0MiB allocated
Compiler: Compiled 12 173 to 1 798 computations (85.2% saved)

prune100.0ms (1.3%)

Memory

-15.9MiB live, 259.4MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	768	1	769
Fresh	0	0	0
Picked	1	2	3
Done	0	8	8
Total	769	11	780

Accuracy

100.0%

Counts

780 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
	50.4%	(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
✓	50.4%	(/.f64 y #s(literal -29/12 binary64))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	50.5%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	50.5%	(.f64 (.f64 y #s(literal 3 binary64)) x)
✓	50.4%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	50.4%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	50.5%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	50.6%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 179 to 103 computations (42.5% saved)

regimes59.0ms (0.7%)

Memory

-4.9MiB live, 56.7MiB allocated

Counts

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

Calls

5 calls:

37.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	y
5.0ms	x
5.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes39.0ms (0.5%)

Memory

5.6MiB live, 44.8MiB allocated

Counts

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

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

Calls

5 calls:

21.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
4.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	y
4.0ms	x
4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 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)

regimes46.0ms (0.6%)

Memory

-10.4MiB live, 29.0MiB 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 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 y x) #s(literal 3 binary64))

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

Calls

5 calls:

33.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.0%	3	`x`
60.6%	3	`y`
82.1%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.0%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.0%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes26.0ms (0.3%)

Memory

-22.2MiB live, 16.7MiB allocated

Counts

5 → 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 y #s(literal -4/29 binary64)) #s(literal 3 binary64))

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

Calls

3 calls:

22.0ms	x
2.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
97.0%	3	`x`
97.0%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.0%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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:

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

Results

Accuracy	Segments	Branch
96.9%	3	`x`
96.9%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
96.9%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes7.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB 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:

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

Results

Accuracy	Segments	Branch
50.6%	1	`y`
50.6%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
50.6%	1	`x`
50.6%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
50.6%	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

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13764822241758545	1001.1216119755463
0.0ms	-58.68267012614636	-0.14016976701214595

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	-0.13764822241758545	1001.1216119755463
0.0ms	-58.68267012614636	-0.14016976701214595

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13764822241758545	1001.1216119755463
0.0ms	-58.68267012614636	-0.14016976701214595

Compiler

Compiled 14 to 14 computations (0% saved)

simplify11.0ms (0.1%)

Memory

-24.0MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-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	30	104
1	41	104
2	50	104
3	56	104
4	61	104
5	63	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 (*.f64 y #s(literal 3 binary64)) x)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 (*.f64 #s(literal 3 binary64) x) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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
(fma.f64 y #s(literal -12/29 binary64) (.f64 y (.f64 x #s(literal 3 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)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 (*.f64 y #s(literal 3 binary64)) x)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) (.f64 #s(literal 3 binary64) (.f64 y x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 y #s(literal 3 binary64)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 (*.f64 #s(literal 3 binary64) x) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) (.f64 #s(literal 3 binary64) (.f64 y x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 y (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) (.f64 #s(literal 3 binary64) (.f64 y x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x))))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -12/29 binary64))

soundness1.4s (17.2%)

Memory

1.5MiB live, 530.6MiB allocated

Rules

7 232×	`lower-fma.f32`
7 228×	`lower-fma.f64`
5 192×	`lower-*.f32`
5 178×	`lower-*.f64`
4 904×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	60
0	31	55
1	105	55
2	628	55
3	6376	55
0	8145	55
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 186 to 87 computations (53.2% saved)

preprocess62.0ms (0.8%)

Memory: 13.6MiB live, 131.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 312 to 130 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	78
0	31	73
1	50	73
2	71	73
3	106	72
4	124	72
5	134	72
6	146	72
7	159	72
8	169	72
9	176	72
10	181	72
11	181	72
0	181	72

Iter	Nodes	Cost
0	18	78
0	31	73
1	50	73
2	71	73
3	106	72
4	124	72
5	134	72
6	146	72
7	159	72
8	169	72
9	176	72
10	181	72
11	181	72
0	181	72

analyze0.0ms (0%)

sample720.0ms (9%)

preprocess78.0ms (1%)

explain91.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize118.0ms (1.5%)

series5.0ms (0.1%)

rewrite521.0ms (6.5%)

simplify342.0ms (4.3%)

eval170.0ms (2.1%)

prune186.0ms (2.3%)

simplify42.0ms (0.5%)

localize135.0ms (1.7%)

series19.0ms (0.2%)

rewrite621.0ms (7.8%)

simplify733.0ms (9.2%)

eval737.0ms (9.2%)

prune127.0ms (1.6%)

simplify8.0ms (0.1%)

localize58.0ms (0.7%)

series12.0ms (0.2%)

rewrite354.0ms (4.4%)

simplify304.0ms (3.8%)

eval85.0ms (1.1%)

prune57.0ms (0.7%)

simplify8.0ms (0.1%)

localize42.0ms (0.5%)

series21.0ms (0.3%)

rewrite286.0ms (3.6%)

simplify288.0ms (3.6%)

eval95.0ms (1.2%)

prune100.0ms (1.3%)

regimes59.0ms (0.7%)

regimes39.0ms (0.5%)

regimes46.0ms (0.6%)

regimes26.0ms (0.3%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.4s (17.2%)

preprocess62.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	78
0	31	73
1	50	73
2	71	73
3	106	72
4	124	72
5	134	72
6	146	72
7	159	72
8	169	72
9	176	72
10	181	72
11	181	72
0	181	72