Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

analyze3.0ms (0%)

Memory

-43.8MiB live, 0.8MiB 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 9 to 9 computations (0% saved)

sample692.0ms (8.4%)

Memory

20.5MiB live, 1 109.8MiB allocated

Samples

440.0ms	7 611×	0	valid
22.0ms	190×	2	valid
22.0ms	300×	1	valid
21.0ms	155×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-div: 105.0ms (40.6% of total)

ival-mult: 80.0ms (30.9% of total)

ival-sub: 49.0ms (18.9% of total)

adjust: 8.0ms (3.1% of total)

exact: 8.0ms (3.1% of total)

ival-true: 5.0ms (1.9% of total)

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

Bogosity

preprocess53.0ms (0.7%)

Memory

-1.9MiB live, 43.6MiB allocated

Algorithm

2×	egg-herbie

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
62×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	48	32
2	93	30
3	173	30
4	273	30
5	311	30
6	317	30
0	8	5
1	15	5
2	25	5
3	34	5
4	46	5
5	64	5
6	99	5
7	129	5
8	164	5
9	188	5
10	202	5
0	202	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (* (/ 3 8) y))

Outputs
(- x (* (/ 3 8) y))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))

Call 2

Inputs
(- x (* (/ 3 8) y))
(- (neg x) (* (/ 3 8) y))
(- x (* (/ 3 8) (neg y)))
(neg (- (neg x) (* (/ 3 8) y)))
(neg (- x (* (/ 3 8) (neg y))))
(- y (* (/ 3 8) x))

Outputs
(- x (* (/ 3 8) y))
(+ x (* y -3/8))
(- (neg x) (* (/ 3 8) y))
(- (* y -3/8) x)
(- x (* (/ 3 8) (neg y)))
(+ x (* 3/8 y))
(neg (- (neg x) (* (/ 3 8) y)))
(+ x (* 3/8 y))
(neg (- x (* (/ 3 8) (neg y))))
(- (* y -3/8) x)
(- y (* (/ 3 8) x))
(+ y (* x -3/8))

explain92.0ms (1.1%)

Memory

-8.6MiB live, 186.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
-	-	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))`
-	-	`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

40.0ms	452×	0	valid
4.0ms	28×	1	valid
4.0ms	18×	3	valid
2.0ms	14×	2	valid

Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (36.4% of total)

ival-mult: 4.0ms (29.1% of total)

ival-sub: 3.0ms (21.8% of total)

adjust: 1.0ms (7.3% of total)

exact: 1.0ms (7.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (0.2%)

Memory

-13.8MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
✓	cost-diff	0	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
✓	cost-diff	128	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	25	13
3	34	13
4	46	13
5	64	13
6	99	13
7	129	13
8	164	13
9	188	13
10	202	13
0	202	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (* (/ 3 8) y))
x
(* (/ 3 8) y)
(/ 3 8)
3
8
y

Outputs
(- x (* (/ 3 8) y))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
x
(* (/ 3 8) y)
(*.f64 #s(literal 3/8 binary64) y)
(/ 3 8)
#s(literal 3/8 binary64)
3
#s(literal 3 binary64)
8
#s(literal 8 binary64)
y

localize23.0ms (0.3%)

Memory

28.4MiB live, 68.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
✓	accuracy	99.8%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Samples

10.0ms	226×	0	valid
1.0ms	9×	3	valid
1.0ms	14×	1	valid
1.0ms	7×	2	valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

ival-sub: 2.0ms (30% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

-34.6MiB live, 7.5MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (/ 3 8)>
#<alt (- x (* (/ 3 8) y))>
#<alt (* (/ 3 8) y)>

Outputs
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* (/ 3 8) y)
0.0ms	y	@	inf	(- x (* (/ 3 8) y))
0.0ms	x	@	0	(- x (* (/ 3 8) y))
0.0ms	y	@	inf	(* (/ 3 8) y)
0.0ms	x	@	inf	(- x (* (/ 3 8) y))

rewrite525.0ms (6.4%)

Memory

25.3MiB live, 939.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 564×	`accelerator-lowering-fma.f32`
11 564×	`accelerator-lowering-fma.f64`
4 300×	`-lowering-.f32`
4 300×	`-lowering-.f64`
3 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	27	9
2	184	9
3	1692	9
0	8665	8

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 205

Calls

Call 1

Inputs
(/ 3 8)
(- x (* (/ 3 8) y))
(* (/ 3 8) y)

Outputs
#s(literal 3/8 binary64)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(+.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64))))) #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (/.f64 (.f64 #s(literal 19683/134217728 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 #s(literal 3/8 binary64) (.f64 x y))))) (/.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 #s(literal 3/8 binary64) (.f64 x y))))) (/.f64 (/.f64 (.f64 #s(literal 19683/134217728 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 #s(literal 3/8 binary64) (.f64 x y))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y)))))))) (/.f64 (.f64 #s(literal 19683/134217728 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (*.f64 y y)))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64)))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 9/64 binary64)))))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64)))))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 9/64 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))) (/.f64 (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (/.f64 (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 y (.f64 y #s(literal 9/64 binary64)))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
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(.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 81/4096 binary64)) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 y (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 y (*.f64 y #s(literal 9/64 binary64)))))))))
(.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))) (.f64 #s(literal 729/262144 binary64) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))))
(.f64 (-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 x x))) (.f64 (.f64 (.f64 y y) #s(literal 81/4096 binary64)) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 y (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 19683/134217728 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (*.f64 y y))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64)))) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64)))) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 x (.f64 #s(literal 3/8 binary64) y))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (-.f64 (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 19683/134217728 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/8 binary64) y) (+.f64 x (.f64 #s(literal 3/8 binary64) y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (*.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 #s(literal 3/8 binary64) y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/8 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3/8 binary64)))
(neg.f64 (*.f64 y #s(literal -3/8 binary64)))
(/.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64)))
(pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3/8 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 #s(literal 3/8 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1/2 binary64)))

simplify282.0ms (3.4%)

Memory

-2.4MiB live, 469.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`accelerator-lowering-fma.f32`
3 160×	`accelerator-lowering-fma.f64`
2 584×	`-lowering-.f32`
2 584×	`-lowering-.f64`
2 384×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))

eval35.0ms (0.4%)

Memory: -13.5MiB live, 96.8MiB allocated
Compiler: Compiled 11 174 to 596 computations (94.7% saved)

prune36.0ms (0.4%)

Memory

-10.1MiB live, 107.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	232	9	241
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	233	9	242

Accuracy

100.0%

Counts

242 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))))
	54.6%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
▶	73.7%	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
▶	99.8%	(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
▶	54.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
	50.5%	(*.f64 #s(literal -3/8 binary64) y)
▶	49.8%	x

Compiler

Compiled 204 to 140 computations (31.4% saved)

simplify550.0ms (6.7%)

Memory

17.0MiB live, 566.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3/8 binary64) y)
✓	cost-diff	0	(+.f64 x (*.f64 #s(literal 3/8 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	cost-diff	0	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
✓	cost-diff	384	(/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 3/8 binary64))
✓	cost-diff	0	(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
✓	cost-diff	6272	(fma.f64 y #s(literal -3/8 binary64) x)

Rules

13 108×	`accelerator-lowering-fma.f32`
13 108×	`accelerator-lowering-fma.f64`
2 690×	`-lowering-.f32`
2 690×	`-lowering-.f64`
2 034×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	54	98
2	148	98
3	512	98
4	1949	98
5	3503	98
6	5116	98
7	6176	98
8	6416	98
9	6611	98
10	7096	98
0	8136	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* y -3/8) x)
y
-3/8
x
x
(- x (* y 3/8))
x
(* y 3/8)
y
3/8
(- x (/ (* (* y y) -9/64) (* y -3/8)))
x
(/ (* (* y y) -9/64) (* y -3/8))
(* (* y y) -9/64)
(* y y)
y
-9/64
(* y -3/8)
-3/8
(* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))
(/ 1 (+ x (* 3/8 y)))
1
(+ x (* 3/8 y))
x
(* 3/8 y)
3/8
y
(+ (* x x) (* (* y y) -9/64))
(* x x)
(* (* y y) -9/64)
(* y y)
-9/64

Outputs
(+ (* y -3/8) x)
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
y
-3/8
#s(literal -3/8 binary64)
x
x
(- x (* y 3/8))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* y 3/8)
(*.f64 y #s(literal 3/8 binary64))
y
3/8
#s(literal 3/8 binary64)
(- x (/ (* (* y y) -9/64) (* y -3/8)))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(/ (* (* y y) -9/64) (* y -3/8))
(*.f64 y #s(literal 3/8 binary64))
(* (* y y) -9/64)
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* y y)
(*.f64 y y)
y
-9/64
#s(literal -9/64 binary64)
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
(* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))
(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (.f64 x x)) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
(/ 1 (+ x (* 3/8 y)))
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
1
#s(literal 1 binary64)
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
y
(+ (* x x) (* (* y y) -9/64))
(+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 x x))
(* x x)
(*.f64 x x)
(* (* y y) -9/64)
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* y y)
(*.f64 y y)
-9/64
#s(literal -9/64 binary64)

localize102.0ms (1.2%)

Memory

11.9MiB live, 95.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))
✓	accuracy	94.5%	(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))
✓	accuracy	55.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	99.8%	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	accuracy	56.2%	(/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 3/8 binary64))
✓	accuracy	99.8%	(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
✓	accuracy	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)

Samples

44.0ms	171×	0	valid
16.0ms	63×	1	valid
7.0ms	13×	3	valid
4.0ms	9×	2	valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45.7% of total)

ival-div: 5.0ms (16.3% of total)

ival-add: 5.0ms (16.3% of total)

adjust: 3.0ms (9.8% of total)

ival-sub: 3.0ms (9.8% of total)

exact: 1.0ms (3.3% of total)

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

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

series29.0ms (0.4%)

Memory

-23.7MiB live, 12.2MiB allocated

Counts

13 → 240

Calls

Call 1

Inputs
#<alt (+ (* y -3/8) x)>
#<alt (- x (* y 3/8))>
#<alt (* y 3/8)>
#<alt (/ (* (* y y) -9/64) (* y -3/8))>
#<alt (- x (/ (* (* y y) -9/64) (* y -3/8)))>
#<alt (* (* y y) -9/64)>
#<alt (* y y)>
#<alt (* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))>
#<alt (/ 1 (+ x (* 3/8 y)))>
#<alt (+ x (* 3/8 y))>
#<alt (* 3/8 y)>
#<alt (* y -3/8)>
#<alt (+ (* x x) (* (* y y) -9/64))>

Outputs
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ 8/3 y)>
#<alt (+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 3/8 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -3/8 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ 8/3 y)>
#<alt (/ (+ 8/3 (* -64/9 (/ x y))) y)>
#<alt (/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)>
#<alt (/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)>
#<alt (/ 8/3 y)>
#<alt (* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))>
#<alt (* 3/8 y)>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/8 (/ y x))))>
#<alt (* x (+ 1 (* 3/8 (/ y x))))>
#<alt (* x (+ 1 (* 3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt (* 3/8 y)>
#<alt (* y (+ 3/8 (/ x y)))>
#<alt (* y (+ 3/8 (/ x y)))>
#<alt (* y (+ 3/8 (/ x y)))>
#<alt (* 3/8 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/8)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/8)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/8)))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -9/64 (pow y 2))>
#<alt (+ (* -9/64 (pow y 2)) (pow x 2))>
#<alt (+ (* -9/64 (pow y 2)) (pow x 2))>
#<alt (+ (* -9/64 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -9/64 (pow y 2)) (pow x 2))>
#<alt (+ (* -9/64 (pow y 2)) (pow x 2))>
#<alt (+ (* -9/64 (pow y 2)) (pow x 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* -9/64 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>

Calls

60 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	(+ (* x x) (* (* y y) -9/64))
1.0ms	x	@	0	(* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))
1.0ms	y	@	0	(/ 1 (+ x (* 3/8 y)))
0.0ms	y	@	inf	(* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))
0.0ms	y	@	0	(* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))

rewrite519.0ms (6.3%)

Memory

16.3MiB live, 964.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 502×	`accelerator-lowering-fma.f32`
8 502×	`accelerator-lowering-fma.f64`
2 864×	`-lowering-.f32`
2 864×	`-lowering-.f64`
1 996×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	130	61
2	1179	61
0	10051	54

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 2 934

Calls

Call 1

Inputs
(+ (* y -3/8) x)
(- x (* y 3/8))
(* y 3/8)
(/ (* (* y y) -9/64) (* y -3/8))
(- x (/ (* (* y y) -9/64) (* y -3/8)))
(* (* y y) -9/64)
(* y y)
(* (/ 1 (+ x (* 3/8 y))) (+ (* x x) (* (* y y) -9/64)))
(/ 1 (+ x (* 3/8 y)))
(+ x (* 3/8 y))
(* 3/8 y)
(* y -3/8)
(+ (* x x) (* (* y y) -9/64))

Outputs
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 y #s(literal -3/8 binary64)) (.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (/.f64 (.f64 x x) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 y (.f64 y #s(literal 9/64 binary64)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 y #s(literal -9/64 binary64)) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -9/64 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 #s(literal 9/64 binary64) (/.f64 (.f64 y y) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) y)) (.f64 y #s(literal -9/64 binary64))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 y y))) #s(literal -9/64 binary64)))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64)))) #s(literal -9/64 binary64))) (.f64 y y)))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal -3/8 binary64)))))) (neg.f64 (/.f64 (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal -3/8 binary64))))))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27/512 binary64) (.f64 y (.f64 y y))))) (/.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (/.f64 #s(literal 8/3 binary64) y))))
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(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -729/262144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -729/262144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -729/262144 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))))))
(.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))

simplify436.0ms (5.3%)

Memory

28.0MiB live, 733.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 064×	`accelerator-lowering-fma.f32`
14 064×	`accelerator-lowering-fma.f64`
4 818×	`-lowering-.f32`
4 818×	`-lowering-.f64`
2 002×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1298
1	510	1292
2	1328	1270
3	4108	1244
0	8185	1100

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ 8/3 y)
(+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -3/8 (/ y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)
(/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 3/8 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))
(/ 1 x)
(+ (* -3/8 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/ 8/3 y)
(/ (+ 8/3 (* -64/9 (/ x y))) y)
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)
(/ 8/3 y)
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))
(* 3/8 y)
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(+ x (* 3/8 y))
x
(* x (+ 1 (* 3/8 (/ y x))))
(* x (+ 1 (* 3/8 (/ y x))))
(* x (+ 1 (* 3/8 (/ y x))))
x
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
x
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(* 3/8 y)
(* y (+ 3/8 (/ x y)))
(* y (+ 3/8 (/ x y)))
(* y (+ 3/8 (/ x y)))
(* 3/8 y)
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -9/64 (pow y 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(* -9/64 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* -9/64 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))

Outputs
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x #s(literal -64/9 binary64)) y)) y)
(+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 512/27 binary64) (/.f64 x y)) #s(literal -64/9 binary64))) y)) y)
(+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+.f64 (.f64 x (/.f64 (.f64 x (.f64 x #s(literal -4096/81 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (.f64 x (+.f64 (*.f64 #s(literal 512/27 binary64) (/.f64 x y)) #s(literal -64/9 binary64))) y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (.f64 y #s(literal 9/64 binary64)) x))) x)) x)
(/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 9/64 binary64) (.f64 (/.f64 y x) #s(literal 27/512 binary64)))) x) (.f64 #s(literal -3/8 binary64) y)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 3/8 (/ y x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (.f64 y #s(literal 9/64 binary64)) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 9/64 binary64) (.f64 (/.f64 y x) #s(literal 27/512 binary64)))) x) (.f64 #s(literal -3/8 binary64) y)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -3/8 (/ y (pow x 2))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x))) x)
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (.f64 y #s(literal 9/64 binary64)) x))) x)) x)
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (.f64 y (/.f64 (.f64 (.f64 y y) #s(literal -27/512 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 y #s(literal 9/64 binary64)) x))) x)) x))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ (+ 8/3 (* -64/9 (/ x y))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x #s(literal -64/9 binary64)) y)) y)
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 512/27 binary64) (/.f64 x y)) #s(literal -64/9 binary64))) y)) y)
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 512/27 binary64) (.f64 (/.f64 x y) #s(literal 4096/81 binary64)))) y) (.f64 x #s(literal -64/9 binary64))) y)) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x #s(literal -64/9 binary64)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 512/27 binary64) (/.f64 x y)) #s(literal -64/9 binary64))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 512/27 binary64) (.f64 (/.f64 x y) #s(literal 4096/81 binary64)))) y) (.f64 x #s(literal -64/9 binary64))) y)) y)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* x (+ 1 (* 3/8 (/ y x))))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* x (+ 1 (* 3/8 (/ y x))))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* x (+ 1 (* 3/8 (/ y x))))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* y (+ 3/8 (/ x y)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* y (+ 3/8 (/ x y)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* y (+ 3/8 (/ x y)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -9/64 (pow y 2)) (pow x 2))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* -9/64 (pow y 2))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(+.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (*.f64 x x))

eval1.2s (15.1%)

Memory: -119.3MiB live, 834.3MiB allocated
Compiler: Compiled 79 813 to 3 679 computations (95.4% saved)

prune249.0ms (3%)

Memory

12.7MiB live, 690.7MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	3 327	5	3 332
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	3 331	10	3 341

Accuracy

100.0%

Counts

3 341 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	73.7%	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y))
✓	73.7%	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
▶	99.8%	(-.f64 x (/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64)))
▶	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y)))
▶	99.8%	(-.f64 x (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))))
	99.7%	(-.f64 x (.f64 (/.f64 y #s(literal -3/8 binary64)) (/.f64 (.f64 y #s(literal -9/64 binary64)) y)))
✓	99.8%	(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
▶	50.5%	(*.f64 #s(literal -3/8 binary64) y)
✓	49.8%	x

Compiler

Compiled 149 to 108 computations (27.5% saved)

simplify195.0ms (2.4%)

Memory

15.3MiB live, 332.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 3/8 binary64))
✓	cost-diff	0	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y))
✓	cost-diff	256	(/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))))
✓	cost-diff	128	(*.f64 y #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 8/3 binary64) y)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal -3/8 binary64) y)
✓	cost-diff	0	(.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64)))
✓	cost-diff	128	(*.f64 y #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64))

Rules

4 136×	`-lowering-.f32`
4 136×	`-lowering-.f64`
2 364×	`accelerator-lowering-fma.f32`
2 364×	`accelerator-lowering-fma.f64`
1 886×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	88
1	51	72
2	143	72
3	366	72
4	1031	72
5	3276	72
6	4761	72
7	6610	72
8	7590	72
0	8076	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ (* -9/64 (* y 1)) -3/8))
x
(/ (* -9/64 (* y 1)) -3/8)
(* -9/64 (* y 1))
-9/64
(* y 1)
y
1
-3/8
(* -3/8 y)
-3/8
y
(- x (/ 1 (/ 8/3 y)))
x
(/ 1 (/ 8/3 y))
1
(/ 8/3 y)
8/3
y
(- x (/ 3/8 (/ 1 (* y 1))))
x
(/ 3/8 (/ 1 (* y 1)))
3/8
(/ 1 (* y 1))
1
(* y 1)
y
(- x (/ (* (* y y) 3/8) y))
x
(/ (* (* y y) 3/8) y)
(* (* y y) 3/8)
(* y y)
y
3/8

Outputs
(- x (/ (* -9/64 (* y 1)) -3/8))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
x
(/ (* -9/64 (* y 1)) -3/8)
(/.f64 y #s(literal 8/3 binary64))
(* -9/64 (* y 1))
(*.f64 #s(literal -9/64 binary64) y)
-9/64
#s(literal -9/64 binary64)
(* y 1)
y
y
1
#s(literal 1 binary64)
-3/8
#s(literal -3/8 binary64)
(* -3/8 y)
(/.f64 y #s(literal -8/3 binary64))
-3/8
#s(literal -3/8 binary64)
y
(- x (/ 1 (/ 8/3 y)))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
x
(/ 1 (/ 8/3 y))
(/.f64 y #s(literal 8/3 binary64))
1
#s(literal 1 binary64)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
8/3
#s(literal 8/3 binary64)
y
(- x (/ 3/8 (/ 1 (* y 1))))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
x
(/ 3/8 (/ 1 (* y 1)))
(/.f64 y #s(literal 8/3 binary64))
3/8
#s(literal 3/8 binary64)
(/ 1 (* y 1))
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(* y 1)
y
y
(- x (/ (* (* y y) 3/8) y))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
x
(/ (* (* y y) 3/8) y)
(/.f64 y #s(literal 8/3 binary64))
(* (* y y) 3/8)
(/.f64 y (/.f64 #s(literal 8/3 binary64) y))
(* y y)
(*.f64 y y)
y
3/8
#s(literal 3/8 binary64)

localize197.0ms (2.4%)

Memory

-24.4MiB live, 216.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 3/8 binary64))
✓	accuracy	72.2%	(/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))))
✓	accuracy	99.8%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
✓	accuracy	99.6%	(/.f64 #s(literal 8/3 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -3/8 binary64) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 x (/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64)))
✓	accuracy	99.9%	(/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64))

Samples

79.0ms	85×	5	exit
72.0ms	171×	0	valid

Compiler

Compiled 110 to 24 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 60.0ms (49.4% of total)

ival-div: 25.0ms (20.6% of total)

const: 15.0ms (12.4% of total)

ival-sub: 11.0ms (9.1% of total)

adjust: 9.0ms (7.4% of total)

exact: 1.0ms (0.8% of total)

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

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

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (/ (* -9/64 (* y 1)) -3/8)>
#<alt (* y 1)>
#<alt (- x (/ (* -9/64 (* y 1)) -3/8))>
#<alt (* -9/64 (* y 1))>
#<alt (* -3/8 y)>
#<alt (/ 1 (/ 8/3 y))>
#<alt (- x (/ 1 (/ 8/3 y)))>
#<alt (/ 8/3 y)>
#<alt (/ 3/8 (/ 1 (* y 1)))>
#<alt (- x (/ 3/8 (/ 1 (* y 1))))>
#<alt (/ 1 (* y 1))>
#<alt (/ (* (* y y) 3/8) y)>
#<alt (- x (/ (* (* y y) 3/8) y))>
#<alt (* (* y y) 3/8)>
#<alt (* y y)>

Outputs
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -9/64 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (* 3/8 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* -9/64 (* y 1))
0.0ms	y	@	-inf	(* y 1)
0.0ms	y	@	0	(/ 8/3 y)
0.0ms	y	@	0	(* -9/64 (* y 1))
0.0ms	y	@	-inf	(/ 1 (* y 1))

rewrite333.0ms (4.1%)

Memory

28.1MiB live, 457.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 432×	`accelerator-lowering-fma.f32`
7 432×	`accelerator-lowering-fma.f64`
4 054×	`-lowering-.f32`
4 054×	`-lowering-.f64`
2 272×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	146	53
2	1049	53
0	9436	49

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 860

Calls

Call 1

Inputs
(/ (* -9/64 (* y 1)) -3/8)
(* y 1)
(- x (/ (* -9/64 (* y 1)) -3/8))
(* -9/64 (* y 1))
(* -3/8 y)
(/ 1 (/ 8/3 y))
(- x (/ 1 (/ 8/3 y)))
(/ 8/3 y)
(/ 3/8 (/ 1 (* y 1)))
(- x (/ 3/8 (/ 1 (* y 1))))
(/ 1 (* y 1))
(/ (* (* y y) 3/8) y)
(- x (/ (* (* y y) 3/8) y))
(* (* y y) 3/8)
(* y y)

Outputs
(exp.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 y #s(literal -8/3 binary64)))
(neg.f64 (/.f64 y #s(literal -8/3 binary64)))
(/.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/8 binary64) y))
(/.f64 y #s(literal 8/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -9/64 binary64) y) #s(literal -3/8 binary64))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) (/.f64 y #s(literal 3/8 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 (/.f64 y (/.f64 #s(literal -8/3 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -8/3 binary64))
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal 3/8 binary64))
(/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1 binary64))) y)
(pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 y #s(literal 8/3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -9/64 binary64) (/.f64 y #s(literal -3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64)))
(.f64 (.f64 #s(literal -9/64 binary64) y) #s(literal -8/3 binary64))
(*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal -3/8 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) y)))
(.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 8/3 binary64) y)))
(.f64 (.f64 y y) (/.f64 #s(literal 3/8 binary64) y))
(*.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal -8/3 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3/8 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 y #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 y #s(literal -8/3 binary64)) y))
(.f64 (.f64 y #s(literal 9/64 binary64)) #s(literal 8/3 binary64))
(.f64 #s(literal -8/3 binary64) (.f64 #s(literal -9/64 binary64) y))
(.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y #s(literal 9/64 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 #s(literal 3/8 binary64) y) (.f64 y y))
(*.f64 (/.f64 y #s(literal -3/8 binary64)) #s(literal -9/64 binary64))
(*.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal 3/8 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -3/8 binary64) y))
(.f64 (/.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -3/8 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64)) (*.f64 y y))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 y #s(literal -8/3 binary64)))
(.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) y)) #s(literal -3/8 binary64))
(.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y) #s(literal -3/8 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) y))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 y (/.f64 #s(literal -8/3 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal -8/3 binary64) y) #s(literal -9/64 binary64))
(.f64 (.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64)))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(neg.f64 (-.f64 #s(literal 0 binary64) y))
(neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 #s(literal 0 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 y (pow.f64 y #s(literal -1/2 binary64))) (*.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 (*.f64 y y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 8/3 binary64)) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 8/3 binary64)) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
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(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 y #s(literal 8/3 binary64)) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 #s(literal -9/64 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -8/3 binary64) y)))
(neg.f64 (/.f64 y (/.f64 #s(literal -8/3 binary64) y)))
(/.f64 y (/.f64 #s(literal 8/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8/3 binary64) y) y))
(/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal 1 binary64))
(/.f64 (/.f64 y (/.f64 #s(literal -8/3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) y) y) #s(literal -1 binary64))
(*.f64 y (/.f64 y #s(literal 8/3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 8/3 binary64) y)))
(.f64 (.f64 #s(literal -9/64 binary64) y) (/.f64 y #s(literal -3/8 binary64)))
(.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) y)
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 3/8 binary64))
(*.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -8/3 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal -8/3 binary64)))
(.f64 (.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 y #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 y #s(literal -3/8 binary64)) (.f64 #s(literal -9/64 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -3/8 binary64))
(.f64 (.f64 y (*.f64 #s(literal -9/64 binary64) y)) #s(literal -8/3 binary64))
(.f64 (.f64 y (/.f64 y #s(literal -3/8 binary64))) #s(literal -9/64 binary64))
(.f64 (.f64 y (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify283.0ms (3.5%)

Memory

-9.2MiB live, 360.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 928×	`-lowering-.f32`
2 928×	`-lowering-.f64`
2 816×	`/-lowering-/.f32`
2 816×	`/-lowering-/.f64`
2 304×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	804
1	79	804
2	183	804
3	467	804
4	1254	804
5	2497	804
6	3421	804
7	3873	804
8	4234	804
9	4422	804
10	5818	804
11	6657	804
12	7503	804
13	7803	804
0	8403	732

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -9/64 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(* 3/8 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -9/64 y)
(*.f64 y #s(literal -9/64 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(* 3/8 (pow y 2))
(.f64 #s(literal 3/8 binary64) (.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval162.0ms (2%)

Memory: 8.9MiB live, 234.7MiB allocated
Compiler: Compiled 13 257 to 1 152 computations (91.3% saved)

prune74.0ms (0.9%)

Memory

-28.2MiB live, 138.3MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 126	7	1 133
Fresh	1	0	1
Picked	4	1	5
Done	2	2	4
Total	1 133	10	1 143

Accuracy

100.0%

Counts

1 143 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	50.5%	(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
▶	50.4%	(/.f64 y #s(literal -8/3 binary64))
▶	50.5%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
	99.7%	(-.f64 x (/.f64 (*.f64 #s(literal 27/512 binary64) (/.f64 y #s(literal -3/8 binary64))) #s(literal -3/8 binary64)))
▶	99.7%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
▶	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))))
▶	50.5%	(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
✓	50.5%	(*.f64 #s(literal -3/8 binary64) y)
✓	49.8%	x

Compiler

Compiled 124 to 96 computations (22.6% saved)

simplify85.0ms (1%)

Memory

28.6MiB live, 66.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(/.f64 y #s(literal 8/3 binary64))
✓	cost-diff	0	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	cost-diff	0	(/.f64 y #s(literal 3/8 binary64))
✓	cost-diff	128	(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
✓	cost-diff	0	(/.f64 y #s(literal -8/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64)))

Rules

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
320×	`-lowering-.f32`
320×	`-lowering-.f64`
288×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	35	52
2	67	52
3	122	52
4	186	52
5	252	52
6	302	52
7	339	52
8	405	52
9	498	52
10	701	52
11	740	52
0	740	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ 1 (/ (/ 1 y) 3/8)))
x
(/ 1 (/ (/ 1 y) 3/8))
1
(/ (/ 1 y) 3/8)
(/ 1 y)
y
3/8
(/ y -8/3)
y
-8/3
(* (/ y 3/8) -9/64)
(/ y 3/8)
y
3/8
-9/64
(- x (/ y 8/3))
x
(/ y 8/3)
y
8/3
(/ 3/8 (/ -1 y))
3/8
(/ -1 y)
-1
y

Outputs
(- x (/ 1 (/ (/ 1 y) 3/8)))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
x
(/ 1 (/ (/ 1 y) 3/8))
(/.f64 y #s(literal 8/3 binary64))
1
#s(literal 1 binary64)
(/ (/ 1 y) 3/8)
(/.f64 #s(literal 8/3 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
3/8
#s(literal 3/8 binary64)
(/ y -8/3)
(/.f64 y #s(literal -8/3 binary64))
y
-8/3
#s(literal -8/3 binary64)
(* (/ y 3/8) -9/64)
(/.f64 y #s(literal -8/3 binary64))
(/ y 3/8)
(/.f64 y #s(literal 3/8 binary64))
y
3/8
#s(literal 3/8 binary64)
-9/64
#s(literal -9/64 binary64)
(- x (/ y 8/3))
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
x
(/ y 8/3)
(/.f64 y #s(literal 8/3 binary64))
y
8/3
#s(literal 8/3 binary64)
(/ 3/8 (/ -1 y))
(/.f64 y #s(literal -8/3 binary64))
3/8
#s(literal 3/8 binary64)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y

localize145.0ms (1.8%)

Memory

-3.0MiB live, 271.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	accuracy	99.7%	(/.f64 y #s(literal 8/3 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 3/8 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
✓	accuracy	99.7%	(/.f64 y #s(literal -8/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))

Samples

81.0ms	85×	5	exit
26.0ms	171×	0	valid

Compiler

Compiled 68 to 21 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 34.0ms (43.6% of total)

const: 26.0ms (33.4% of total)

adjust: 6.0ms (7.7% of total)

ival-sub: 6.0ms (7.7% of total)

ival-mult: 4.0ms (5.1% of total)

exact: 1.0ms (1.3% of total)

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

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

series2.0ms (0%)

Memory

10.2MiB live, 10.1MiB allocated

Counts

11 → 156

Calls

Call 1

Inputs
#<alt (/ 1 (/ (/ 1 y) 3/8))>
#<alt (/ (/ 1 y) 3/8)>
#<alt (- x (/ 1 (/ (/ 1 y) 3/8)))>
#<alt (/ 1 y)>
#<alt (/ y -8/3)>
#<alt (* (/ y 3/8) -9/64)>
#<alt (/ y 3/8)>
#<alt (- x (/ y 8/3))>
#<alt (/ y 8/3)>
#<alt (/ 3/8 (/ -1 y))>
#<alt (/ -1 y)>

Outputs
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* 8/3 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ y 3/8)
0.0ms	y	@	0	(/ 1 (/ (/ 1 y) 3/8))
0.0ms	y	@	0	(/ (/ 1 y) 3/8)
0.0ms	y	@	-inf	(* (/ y 3/8) -9/64)
0.0ms	y	@	-inf	(/ 1 (/ (/ 1 y) 3/8))

rewrite326.0ms (4%)

Memory

-24.4MiB live, 454.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 160×	`accelerator-lowering-fma.f32`
3 160×	`accelerator-lowering-fma.f64`
2 762×	`-lowering-.f32`
2 762×	`-lowering-.f64`
1 288×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	105	37
2	686	37
3	4359	37
0	8909	35

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 648

Calls

Call 1

Inputs
(/ 1 (/ (/ 1 y) 3/8))
(/ (/ 1 y) 3/8)
(- x (/ 1 (/ (/ 1 y) 3/8)))
(/ 1 y)
(/ y -8/3)
(* (/ y 3/8) -9/64)
(/ y 3/8)
(- x (/ y 8/3))
(/ y 8/3)
(/ 3/8 (/ -1 y))
(/ -1 y)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal -8/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -8/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -8/3 binary64) y))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -8/3 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
(neg.f64 (/.f64 y #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 y #s(literal -8/3 binary64))
(/.f64 y #s(literal 8/3 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 8/3 binary64))))
(/.f64 y (exp.f64 (log.f64 #s(literal -8/3 binary64))))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/8 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64))))))
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(*.f64 #s(literal -3/8 binary64) y)
(.f64 (.f64 y #s(literal -9/64 binary64)) #s(literal -8/3 binary64))
(.f64 (.f64 y #s(literal -9/64 binary64)) #s(literal 8/3 binary64))
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(.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) y)
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(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) y)
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -8/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -8/3 binary64) y))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -8/3 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
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(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 64/9 binary64) y) y) #s(literal -1/2 binary64))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -8/3 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 y #s(literal -3/8 binary64))
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(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal 9/64 binary64))
(*.f64 #s(literal -9/64 binary64) (/.f64 y #s(literal 3/8 binary64)))
(.f64 #s(literal 8/3 binary64) (.f64 y #s(literal -9/64 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 #s(literal -3/8 binary64) y)
(.f64 (.f64 y #s(literal -9/64 binary64)) #s(literal -8/3 binary64))
(.f64 (.f64 y #s(literal -9/64 binary64)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) y)
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(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) y)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) (.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
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(/.f64 #s(literal 1 binary64) y)
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

simplify326.0ms (4%)

Memory

7.4MiB live, 394.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 772×	`accelerator-lowering-fma.f32`
2 772×	`accelerator-lowering-fma.f64`
2 744×	`-lowering-.f32`
2 744×	`-lowering-.f64`
2 552×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	528
1	74	528
2	176	528
3	460	528
4	1245	528
5	2434	528
6	3273	528
7	3654	528
8	3975	528
9	4171	528
10	5444	528
11	6238	528
12	7026	528
13	7300	528
0	8122	492

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* 8/3 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)

Outputs
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* 8/3 y)
(*.f64 y #s(literal 8/3 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(- x (* 3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)

eval83.0ms (1%)

Memory: 9.6MiB live, 185.2MiB allocated
Compiler: Compiled 10 163 to 820 computations (91.9% saved)

prune56.0ms (0.7%)

Memory

-16.4MiB live, 142.7MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	804	0	804
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	804	10	814

Accuracy

100.0%

Counts

814 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	50.5%	(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
✓	50.4%	(/.f64 y #s(literal -8/3 binary64))
✓	50.5%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
	99.7%	(-.f64 x (/.f64 (*.f64 #s(literal 27/512 binary64) (/.f64 y #s(literal -3/8 binary64))) #s(literal -3/8 binary64)))
✓	99.7%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))))
✓	50.5%	(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
✓	50.5%	(*.f64 #s(literal -3/8 binary64) y)
✓	49.8%	x

Compiler

Compiled 248 to 127 computations (48.8% saved)

regimes33.0ms (0.4%)

Memory

-7.1MiB live, 72.2MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y)))
(-.f64 x (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))))
(-.f64 x (/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64)))
(-.f64 x (/.f64 (*.f64 #s(literal 27/512 binary64) (/.f64 y #s(literal -3/8 binary64))) #s(literal -3/8 binary64)))
(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 x (.f64 (/.f64 y #s(literal -3/8 binary64)) (/.f64 (.f64 y #s(literal -9/64 binary64)) y)))
(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))))
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

4 calls:

9.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
9.0ms	x
7.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
7.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes104.0ms (1.3%)

Memory

24.9MiB live, 64.0MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y)))
(-.f64 x (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))))
(-.f64 x (/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y #s(literal 1 binary64))) #s(literal -3/8 binary64)))
(-.f64 x (/.f64 (*.f64 #s(literal 27/512 binary64) (/.f64 y #s(literal -3/8 binary64))) #s(literal -3/8 binary64)))
(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 x (.f64 (/.f64 y #s(literal -3/8 binary64)) (/.f64 (.f64 y #s(literal -9/64 binary64)) y)))
(-.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))))

Outputs
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))

Calls

4 calls:

83.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
6.0ms	x
6.0ms	y
6.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
99.8%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes31.0ms (0.4%)

Memory

-28.5MiB live, 11.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal -9/64 binary64))

Outputs
(*.f64 #s(literal -3/8 binary64) y)
x
(*.f64 #s(literal -3/8 binary64) y)

Calls

2 calls:

28.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.7%	3	`x`
81.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch216.0ms (2.6%)

Memory

-2.6MiB live, 41.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
202.0ms	6547521631283004.0	9.766869886170877e+21
11.0ms	-1.4501053150581276e-13	-3.0049991865601227e-19

Samples

10.0ms	251×	0	valid
2.0ms	20×	2	valid
1.0ms	17×	1	valid

Compiler

Compiled 192 to 156 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.6% of total)

ival-mult: 2.0ms (29.6% of total)

ival-sub: 2.0ms (29.6% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

simplify9.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-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	14	23
1	24	23
2	36	23
3	42	23
4	46	23
5	47	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 50000000000000000 binary64)) x (.f64 #s(literal -3/8 binary64) y)))
x

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 50000000000000000 binary64)) x (.f64 #s(literal -3/8 binary64) y)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (.f64 y #s(literal -3/8 binary64)) (if (<=.f64 y #s(literal 50000000000000000 binary64)) x (.f64 y #s(literal -3/8 binary64))))
x

soundness617.0ms (7.5%)

Memory

-35.8MiB live, 309.5MiB allocated

Rules

11 564×	`accelerator-lowering-fma.f32`
11 564×	`accelerator-lowering-fma.f64`
4 300×	`-lowering-.f32`
4 300×	`-lowering-.f64`
3 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120
0	8	9
1	27	9
2	184	9
3	1692	9
0	8665	8

Stop Event

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

Compiler

Compiled 51 to 31 computations (39.2% saved)

preprocess30.0ms (0.4%)

Memory: 26.3MiB live, 64.7MiB allocated
Compiler: Compiled 72 to 42 computations (41.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	17	34
1	48	32
2	93	30
3	173	30
4	273	30
5	311	30
6	317	30
0	8	5
1	15	5
2	25	5
3	34	5
4	46	5
5	64	5
6	99	5
7	129	5
8	164	5
9	188	5
10	202	5
0	202	4

Iter	Nodes	Cost
0	8	13
1	15	13
2	25	13
3	34	13
4	46	13
5	64	13
6	99	13
7	129	13
8	164	13
9	188	13
10	202	13
0	202	12

Iter	Nodes	Cost
0	19	70
1	35	52
2	67	52
3	122	52
4	186	52
5	252	52
6	302	52
7	339	52
8	405	52
9	498	52
10	701	52
11	740	52
0	740	50

Iter	Nodes	Cost
0	17	34
1	48	32
2	93	30
3	173	30
4	273	30
5	311	30
6	317	30
0	8	5
1	15	5
2	25	5
3	34	5
4	46	5
5	64	5
6	99	5
7	129	5
8	164	5
9	188	5
10	202	5
0	202	4

Iter	Nodes	Cost
0	8	13
1	15	13
2	25	13
3	34	13
4	46	13
5	64	13
6	99	13
7	129	13
8	164	13
9	188	13
10	202	13
0	202	12

Iter	Nodes	Cost
0	19	70
1	35	52
2	67	52
3	122	52
4	186	52
5	252	52
6	302	52
7	339	52
8	405	52
9	498	52
10	701	52
11	740	52
0	740	50

analyze3.0ms (0%)

sample692.0ms (8.4%)

preprocess53.0ms (0.7%)

explain92.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize23.0ms (0.3%)

series4.0ms (0%)

rewrite525.0ms (6.4%)

simplify282.0ms (3.4%)

eval35.0ms (0.4%)

prune36.0ms (0.4%)

simplify550.0ms (6.7%)

localize102.0ms (1.2%)

series29.0ms (0.4%)

rewrite519.0ms (6.3%)

simplify436.0ms (5.3%)

eval1.2s (15.1%)

prune249.0ms (3%)

simplify195.0ms (2.4%)

localize197.0ms (2.4%)

series5.0ms (0.1%)

rewrite333.0ms (4.1%)

simplify283.0ms (3.5%)

eval162.0ms (2%)

prune74.0ms (0.9%)

simplify85.0ms (1%)

localize145.0ms (1.8%)

series2.0ms (0%)

rewrite326.0ms (4%)

simplify326.0ms (4%)

eval83.0ms (1%)

prune56.0ms (0.7%)

regimes33.0ms (0.4%)

regimes104.0ms (1.3%)

regimes31.0ms (0.4%)

regimes3.0ms (0%)

bsearch216.0ms (2.6%)

simplify9.0ms (0.1%)

soundness617.0ms (7.5%)

preprocess30.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	34
1	48	32
2	93	30
3	173	30
4	273	30
5	311	30
6	317	30
0	8	5
1	15	5
2	25	5
3	34	5
4	46	5
5	64	5
6	99	5
7	129	5
8	164	5
9	188	5
10	202	5
0	202	4

Iter	Nodes	Cost
0	8	13
1	15	13
2	25	13
3	34	13
4	46	13
5	64	13
6	99	13
7	129	13
8	164	13
9	188	13
10	202	13
0	202	12

Iter	Nodes	Cost
0	19	70
1	35	52
2	67	52
3	122	52
4	186	52
5	252	52
6	302	52
7	339	52
8	405	52
9	498	52
10	701	52
11	740	52
0	740	50