Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, B

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample482.0ms (13%)

Memory

8.0MiB live, 811.4MiB allocated

Samples

330.0ms	8 225×	0	valid
1.0ms	17×	1	valid
1.0ms	8×	2	valid
1.0ms	6×	3	valid

Precisions

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

ival-sub: 67.0ms (51.5% of total)

ival-mult: 51.0ms (39.2% of total)

ival-true: 5.0ms (3.8% of total)

exact: 4.0ms (3.1% of total)

ival-assert: 3.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess33.0ms (0.9%)

Memory

7.1MiB live, 90.0MiB allocated

Algorithm

2×	egg-herbie

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 500 (- x y))

Outputs
(* 500 (- x y))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))

Call 2

Inputs
(* 500 (- x y))
(* 500 (- (neg x) y))
(* 500 (- x (neg y)))
(neg (* 500 (- (neg x) y)))
(neg (* 500 (- x (neg y))))
(* 500 (- y x))

Outputs
(* 500 (- x y))
(* 500 (- (neg x) y))
(* (+ x y) -500)
(* 500 (- x (neg y)))
(* 500 (+ x y))
(neg (* 500 (- (neg x) y)))
(* 500 (+ x y))
(neg (* 500 (- x (neg y))))
(* (+ x y) -500)
(* 500 (- y x))

explain47.0ms (1.3%)

Memory

-18.0MiB live, 139.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
-	-	`#s(literal 500 binary64)`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-mult: 3.0ms (42% of total)

ival-sub: 3.0ms (42% 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify18.0ms (0.5%)

Memory

-0.7MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	cost-diff	0	(-.f64 x y)

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 500 (- x y))
500
(- x y)
x
y

Outputs
(* 500 (- x y))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
500
#s(literal 500 binary64)
(- x y)
(-.f64 x y)
x
y

localize16.0ms (0.4%)

Memory

-0.5MiB live, 37.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))

Samples

11.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (56.9% of total)

ival-sub: 1.0ms (28.5% 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)

series2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (- x y)>
#<alt (* 500 (- x y))>

Outputs
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -500 y)>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (* 500 x)>
#<alt (* x (+ 500 (* -500 (/ y x))))>
#<alt (* x (+ 500 (* -500 (/ y x))))>
#<alt (* x (+ 500 (* -500 (/ y x))))>
#<alt (* 500 x)>
#<alt (* -1 (* x (- (* 500 (/ y x)) 500)))>
#<alt (* -1 (* x (- (* 500 (/ y x)) 500)))>
#<alt (* -1 (* x (- (* 500 (/ y x)) 500)))>
#<alt (* 500 x)>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (* -500 y)>
#<alt (* y (- (* 500 (/ x y)) 500))>
#<alt (* y (- (* 500 (/ x y)) 500))>
#<alt (* y (- (* 500 (/ x y)) 500))>
#<alt (* -500 y)>
#<alt (* -1 (* y (+ 500 (* -500 (/ x y)))))>
#<alt (* -1 (* y (+ 500 (* -500 (/ x y)))))>
#<alt (* -1 (* y (+ 500 (* -500 (/ x y)))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* 500 (- x y))
0.0ms	x	@	inf	(* 500 (- x y))
0.0ms	x	@	inf	(- x y)
0.0ms	x	@	0	(* 500 (- x y))
0.0ms	y	@	inf	(* 500 (- x y))

rewrite329.0ms (8.9%)

Memory

34.1MiB live, 728.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 754×	`accelerator-lowering-fma.f32`
5 754×	`accelerator-lowering-fma.f64`
3 256×	`-lowering-.f32`
3 256×	`-lowering-.f64`
3 212×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	21	8
2	152	8
3	1497	8
0	9528	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 251

Calls

Call 1

Inputs
(- x y)
(* 500 (- x y))

Outputs
(+.f64 x y)
(+.f64 x (-.f64 #s(literal 0 binary64) y))
(+.f64 y x)
(+.f64 (-.f64 #s(literal 0 binary64) y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))))
(+.f64 #s(literal 0 binary64) (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 x (-.f64 #s(literal 0 binary64) y))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (fma.f64 x x (.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (fma.f64 x x (.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))) (fma.f64 y y (fma.f64 x x (.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))) (fma.f64 y y (fma.f64 x x (.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y y (fma.f64 x x (.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y y (fma.f64 x x (.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))))) (+.f64 x y)) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))))) (+.f64 x y)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y y))) (+.f64 x y)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y y))) (+.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x))) (-.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (-.f64 y x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (/.f64 (.f64 (+.f64 x y) (.f64 y y)) (fma.f64 x x (.f64 y y))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))))) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y))))) (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 y y) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y y) (fma.f64 x x (.f64 y (+.f64 x y))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))))) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y))))) (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 y y) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y y) (fma.f64 x x (.f64 y (+.f64 x y))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y))))) (+.f64 x y)) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))) (+.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))) (/.f64 (.f64 (.f64 y y) (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y)))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) x)
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(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)))
(+.f64 (.f64 x #s(literal 500 binary64)) (.f64 y #s(literal -500 binary64)))
(+.f64 (.f64 y #s(literal -500 binary64)) (.f64 x #s(literal 500 binary64)))
(-.f64 (.f64 x #s(literal 500 binary64)) (.f64 y #s(literal 500 binary64)))
(-.f64 (.f64 x #s(literal 500 binary64)) (.f64 #s(literal 500 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 250000 binary64)) (fma.f64 x #s(literal 500 binary64) (.f64 y #s(literal 500 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 250000 binary64)) (fma.f64 x #s(literal 500 binary64) (.f64 y #s(literal 500 binary64)))))
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(fma.f64 #s(literal 500 binary64) x (*.f64 y #s(literal -500 binary64)))
(fma.f64 #s(literal 500 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 500 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 500 binary64) (*.f64 x #s(literal 500 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 500 binary64)) (.f64 x #s(literal 500 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 500 binary64) y) (.f64 x #s(literal 500 binary64)))
(fma.f64 #s(literal -500 binary64) y (*.f64 x #s(literal 500 binary64)))
(/.f64 #s(literal 500 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 500 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 500 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 500 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 250000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 (.f64 x #s(literal 500 binary64)) (.f64 y #s(literal -500 binary64))))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 125000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 500 binary64) (.f64 y #s(literal 500 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 250000 binary64)) (.f64 (*.f64 y y) #s(literal 250000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 500 binary64) (+.f64 x y)))))
(/.f64 (.f64 #s(literal 500 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 #s(literal 500 binary64) (fma.f64 x x (.f64 y y))) (+.f64 x y))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -500 binary64)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal -500 binary64)) (-.f64 y x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) (fma.f64 (.f64 x x) #s(literal 250000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 (.f64 x #s(literal 500 binary64)) (*.f64 y #s(literal -500 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 250000 binary64)) (.f64 (.f64 y y) #s(literal 250000 binary64))) (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal 500 binary64))))
(/.f64 #s(literal -500 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (/.f64 (.f64 #s(literal 500 binary64) (fma.f64 x x (.f64 y y))) (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -500 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal -500 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 250000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 (.f64 x #s(literal 500 binary64)) (*.f64 y #s(literal -500 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 250000 binary64)) (.f64 (.f64 y y) #s(literal 250000 binary64)))) (neg.f64 (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal 500 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64))) (fma.f64 (.f64 y y) #s(literal 250000 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 250000 binary64)) (.f64 (.f64 y #s(literal -500 binary64)) (*.f64 x #s(literal 500 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 (.f64 x x) #s(literal 250000 binary64))) (-.f64 (.f64 y #s(literal -500 binary64)) (.f64 x #s(literal 500 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 500 binary64) (+.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 500 binary64) (+.f64 x y))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #s(literal 500 binary64)))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 500 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 500 binary64)))
(.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal 500 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 500 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 500 binary64) (+.f64 x y)))
(.f64 (.f64 #s(literal 500 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (.f64 #s(literal 500 binary64) (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -500 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (.f64 (fma.f64 x x (*.f64 y y)) #s(literal -500 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 250000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 (.f64 x #s(literal 500 binary64)) (.f64 y #s(literal -500 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 250000 binary64)) (.f64 (.f64 y y) #s(literal 250000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 500 binary64) (.f64 y #s(literal 500 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 500 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))))
(.f64 (/.f64 (.f64 #s(literal 500 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(.f64 (/.f64 (.f64 #s(literal 500 binary64) (fma.f64 x x (.f64 y y))) (fma.f64 x x (.f64 y y))) (+.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 500 binary64) (fma.f64 x x (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (*.f64 y (+.f64 x y))))

simplify676.0ms (18.2%)

Memory

18.1MiB live, 894.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26 396×	`accelerator-lowering-fma.f32`
26 396×	`accelerator-lowering-fma.f64`
3 260×	`+-lowering-+.f64`
3 260×	`+-lowering-+.f32`
2 160×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	207
1	118	207
2	316	207
3	847	171
4	1744	171
5	2888	171
6	3990	171
7	4676	171
8	5023	171
9	5134	171
10	5844	171
11	7632	171
0	8098	171

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -500 y)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* 500 x)
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* 500 x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* 500 x)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* -500 y)
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* -500 y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))

Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -500 y)
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* 500 x)
(fma.f64 x #s(literal 500 binary64) #s(literal 0 binary64))
(* x (+ 500 (* -500 (/ y x))))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* x (+ 500 (* -500 (/ y x))))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* x (+ 500 (* -500 (/ y x))))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* 500 x)
(fma.f64 x #s(literal 500 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* 500 x)
(fma.f64 x #s(literal 500 binary64) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* -500 y)
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
(* y (- (* 500 (/ x y)) 500))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* y (- (* 500 (/ x y)) 500))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* y (- (* 500 (/ x y)) 500))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* -500 y)
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(fma.f64 (-.f64 x y) #s(literal 500 binary64) #s(literal 0 binary64))

eval37.0ms (1%)

Memory: -10.8MiB live, 69.7MiB allocated
Compiler: Compiled 9 680 to 831 computations (91.4% saved)

prune39.0ms (1%)

Memory

-1.6MiB live, 70.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	296	3	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	296	4	300

Accuracy

100.0%

Counts

300 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
▶	53.3%	(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
▶	48.6%	(*.f64 #s(literal 500 binary64) x)

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x #s(literal 500 binary64))
✓	cost-diff	0	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
✓	cost-diff	0	(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 #s(literal 500 binary64) x)

Rules

16×	`+-lowering-+.f64`
16×	`+-lowering-+.f32`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	13	25
2	20	25
3	20	25
0	20	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 500 x)
500
x
(+ (* y -500) 0)
y
-500
0
(+ (* y -500) (* x 500))
y
-500
(* x 500)
x
500

Outputs
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
500
#s(literal 500 binary64)
x
(+ (* y -500) 0)
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
y
-500
#s(literal -500 binary64)
0
#s(literal 0 binary64)
(+ (* y -500) (* x 500))
(fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))
y
-500
#s(literal -500 binary64)
(* x 500)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
x
500
#s(literal 500 binary64)

localize31.0ms (0.8%)

Memory

5.3MiB live, 52.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 500 binary64))
✓	accuracy	100.0%	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
✓	accuracy	100.0%	(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 500 binary64) x)

Samples

16.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (66.6% of total)

ival-add: 2.0ms (26.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.9%)

Memory

-33.0MiB live, 5.5MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (* 500 x)>
#<alt (+ (* y -500) 0)>
#<alt (+ (* y -500) (* x 500))>
#<alt (* x 500)>

Outputs
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* 500 x)>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (* -500 y)>
#<alt (* y (- (* 500 (/ x y)) 500))>
#<alt (* y (- (* 500 (/ x y)) 500))>
#<alt (* y (- (* 500 (/ x y)) 500))>
#<alt (* -500 y)>
#<alt (* -1 (* y (+ 500 (* -500 (/ x y)))))>
#<alt (* -1 (* y (+ 500 (* -500 (/ x y)))))>
#<alt (* -1 (* y (+ 500 (* -500 (/ x y)))))>
#<alt (* -500 y)>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (+ (* -500 y) (* 500 x))>
#<alt (* 500 x)>
#<alt (* x (+ 500 (* -500 (/ y x))))>
#<alt (* x (+ 500 (* -500 (/ y x))))>
#<alt (* x (+ 500 (* -500 (/ y x))))>
#<alt (* 500 x)>
#<alt (* -1 (* x (- (* 500 (/ y x)) 500)))>
#<alt (* -1 (* x (- (* 500 (/ y x)) 500)))>
#<alt (* -1 (* x (- (* 500 (/ y x)) 500)))>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>
#<alt (* 500 x)>

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	y	@	0	(+ (* y -500) 0)
1.0ms	x	@	0	(+ (* y -500) (* x 500))
0.0ms	y	@	inf	(+ (* y -500) 0)
0.0ms	x	@	inf	(* 500 x)
0.0ms	x	@	-inf	(* 500 x)

rewrite380.0ms (10.2%)

Memory

-21.0MiB live, 726.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 322×	`accelerator-lowering-fma.f32`
10 322×	`accelerator-lowering-fma.f64`
4 306×	`-lowering-.f32`
4 306×	`-lowering-.f64`
1 736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	36	16
2	350	16
3	5060	16
0	8548	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 447

Calls

Call 1

Inputs
(* 500 x)
(+ (* y -500) 0)
(+ (* y -500) (* x 500))
(* x 500)

Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 500 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 500 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -250000 binary64)) (*.f64 x #s(literal -500 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 250000 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))))))
(/.f64 (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 250000 binary64) (.f64 x x)) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 500 binary64) x)
(*.f64 x #s(literal 500 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) (exp.f64 (log.f64 x)))
(+.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))
(exp.f64 (log.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64)))
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
(fma.f64 y (/.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y (*.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -500 binary64) (/.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -500 binary64) (/.f64 (.f64 y (.f64 y y)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -500 binary64) (/.f64 (*.f64 y y) y) #s(literal 0 binary64))
(fma.f64 #s(literal -500 binary64) (*.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/250000 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/500 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -125000000 binary64) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -125000000 binary64) (/.f64 #s(literal 1/250000 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 #s(literal -125000000 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -125000000 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/250000 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 125000000 binary64) (.f64 y (.f64 y y)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -250000 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -250000 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/250000 binary64) (.f64 y y)) (fma.f64 (.f64 y (*.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/500 binary64) y) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 250000 binary64) (/.f64 (*.f64 y y) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 250000 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 250000 binary64) (.f64 (.f64 y y) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 250000 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (/.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (*.f64 y (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -500 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -500 binary64) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 y (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -500 binary64) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 250000 binary64) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 250000 binary64) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal -1/500 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal -500 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -500 binary64)) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal -500 binary64)) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal -500 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) y) (/.f64 #s(literal -125000000 binary64) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -500 binary64)) (/.f64 #s(literal -125000000 binary64) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -125000000 binary64) y) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -500 binary64)) (/.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 250000 binary64)) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 250000 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal -500 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 250000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 250000 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -500 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -125000000 binary64) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) (/.f64 (.f64 y (.f64 y y)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -125000000 binary64) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal -500 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -125000000 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -125000000 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 250000 binary64)) (/.f64 #s(literal -125000000 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -125000000 binary64) (.f64 y y)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 250000 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (*.f64 y y)) #s(literal -500 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -125000000 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 250000 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y) #s(literal 0 binary64))
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(/.f64 (.f64 (fma.f64 #s(literal 1953125000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1953125000000000000000000 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))))) (fma.f64 (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 15625000000000000 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (-.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64)) #s(literal 0 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64))))
(/.f64 (.f64 (-.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64)) #s(literal 0 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))) (fma.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 #s(literal 250000 binary64) (.f64 x x)) (.f64 #s(literal 250000 binary64) (fma.f64 y y (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 250000 binary64) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))) (.f64 #s(literal 250000 binary64) (fma.f64 y y (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64))) (fma.f64 #s(literal 250000 binary64) (-.f64 (.f64 x x) (.f64 y y)) #s(literal 0 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))))
(*.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))))
(.f64 (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x)))))
(.f64 (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))) (.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))))))
(.f64 (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))) (/.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (*.f64 x x)))))
(.f64 (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x)))) (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x))))
(.f64 (fma.f64 #s(literal 250000 binary64) (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) x (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (*.f64 x x)))) (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64))) (fma.f64 #s(literal 500 binary64) x (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64)))) (fma.f64 #s(literal 500 binary64) x (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64)) #s(literal 0 binary64)))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 250000 binary64)) (.f64 y #s(literal -250000 binary64)))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 250000 binary64)) (.f64 y #s(literal -250000 binary64)))) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 #s(literal -250000 binary64) x)) (.f64 #s(literal 250000 binary64) (.f64 x x))) (fma.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x)) (.f64 x (.f64 y #s(literal -250000 binary64)))))) (fma.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x)) (.f64 x (*.f64 y #s(literal -250000 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 250000 binary64) (.f64 y #s(literal -250000 binary64))) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 500 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 500 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -250000 binary64)) (*.f64 x #s(literal -500 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 250000 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))))))
(/.f64 (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 250000 binary64) (.f64 x x)) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 500 binary64) x)
(*.f64 x #s(literal 500 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) (exp.f64 (log.f64 x)))

simplify327.0ms (8.8%)

Memory

29.8MiB live, 310.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 814×	`-lowering-.f32`
3 814×	`-lowering-.f64`
3 734×	`accelerator-lowering-fma.f32`
3 734×	`accelerator-lowering-fma.f64`
2 184×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	252
1	64	252
2	169	252
3	357	234
4	704	216
5	2126	216
6	3860	216
7	5096	216
8	5712	216
9	6117	216
10	6501	216
11	6901	216
12	7957	216
0	8074	216

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* 500 x)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* -500 y)
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* -500 y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -500 y)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* 500 x)
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* 500 x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)

Outputs
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* y (- (* 500 (/ x y)) 500))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* y (- (* 500 (/ x y)) 500))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* y (- (* 500 (/ x y)) 500))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -500 y)
(fma.f64 #s(literal -500 binary64) y #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -500 y) (* 500 x))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* x (+ 500 (* -500 (/ y x))))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* x (+ 500 (* -500 (/ y x))))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* x (+ 500 (* -500 (/ y x))))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(fma.f64 #s(literal 500 binary64) (-.f64 x y) #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(* 500 x)
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))

eval56.0ms (1.5%)

Memory: 0.5MiB live, 116.4MiB allocated
Compiler: Compiled 9 034 to 762 computations (91.6% saved)

prune64.0ms (1.7%)

Memory

-24.6MiB live, 169.3MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	506	1	507
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	507	4	511

Accuracy

100.0%

Counts

511 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
▶	53.3%	(*.f64 y #s(literal -500 binary64))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	48.6%	(*.f64 #s(literal 500 binary64) x)

Compiler

Compiled 25 to 19 computations (24% saved)

simplify4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -500 binary64))

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y -500)
y
-500

Outputs
(* y -500)
(*.f64 y #s(literal -500 binary64))
y
-500
#s(literal -500 binary64)

localize11.0ms (0.3%)

Memory

26.3MiB live, 26.3MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -500 binary64))

Samples

7.0ms

256×

valid

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (100.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

-36.3MiB live, 1.3MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (* y -500)>

Outputs
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>
#<alt (* -500 y)>

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* y -500)
0.0ms	y	@	-inf	(* y -500)
0.0ms	y	@	0	(* y -500)

rewrite8.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* y -500)

Outputs
(*.f64 y #s(literal -500 binary64))
(*.f64 #s(literal -500 binary64) y)

simplify4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)

Outputs
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -500 y)
(*.f64 #s(literal -500 binary64) y)

eval1.0ms (0%)

Memory: 3.3MiB live, 3.3MiB allocated
Compiler: Compiled 44 to 5 computations (88.6% saved)

prune2.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Accuracy

100.0%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
✓	53.3%	(*.f64 y #s(literal -500 binary64))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	48.6%	(*.f64 #s(literal 500 binary64) x)

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes18.0ms (0.5%)

Memory

-15.3MiB live, 27.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 500 binary64) x)
(*.f64 y #s(literal -500 binary64))
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))

Outputs
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))

Calls

4 calls:

10.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes10.0ms (0.3%)

Memory

-14.5MiB live, 23.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 500 binary64) x)
(*.f64 y #s(literal -500 binary64))
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 500 binary64) (-.f64 x y))

Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 500 binary64) x)
(*.f64 y #s(literal -500 binary64))
(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))

Outputs
(*.f64 y #s(literal -500 binary64))
(*.f64 #s(literal 500 binary64) x)
(*.f64 y #s(literal -500 binary64))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.0%	3	`x`
80.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 500 binary64) x)

Outputs
(*.f64 #s(literal 500 binary64) x)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.6%)

Memory

5.8MiB live, 44.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.222763604415154e-27	2.8178460164300974e-21
10.0ms	-2.6284096836898523e-96	-3.2232550451633015e-102

Samples

11.0ms	287×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 226 to 190 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (59.6% of total)

ival-sub: 2.0ms (39.7% 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)

simplify10.0ms (0.3%)

Memory

-17.7MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	24	29
2	29	29
3	31	29
4	32	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -3126379886188527/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (.f64 y #s(literal -500 binary64)) (if (<=.f64 y #s(literal 5742264941790837/10633823966279326983230456482242756608 binary64)) (.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal -500 binary64))))
(*.f64 #s(literal 500 binary64) x)

Outputs
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -3126379886188527/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (.f64 y #s(literal -500 binary64)) (if (<=.f64 y #s(literal 5742264941790837/10633823966279326983230456482242756608 binary64)) (.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal -500 binary64))))
(if (<=.f64 y #s(literal -3126379886188527/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (.f64 y #s(literal -500 binary64)) (if (<=.f64 y #s(literal 5742264941790837/10633823966279326983230456482242756608 binary64)) (.f64 x #s(literal 500 binary64)) (*.f64 y #s(literal -500 binary64))))
(*.f64 #s(literal 500 binary64) x)
(*.f64 x #s(literal 500 binary64))

soundness903.0ms (24.3%)

Memory

7.6MiB live, 480.4MiB allocated

Rules

26 396×	`accelerator-lowering-fma.f32`
26 396×	`accelerator-lowering-fma.f64`
10 322×	`accelerator-lowering-fma.f32`
10 322×	`accelerator-lowering-fma.f64`
5 754×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	207
1	118	207
2	316	207
3	847	171
4	1744	171
5	2888	171
6	3990	171
7	4676	171
8	5023	171
9	5134	171
10	5844	171
11	7632	171
0	8098	171
0	10	16
1	36	16
2	350	16
3	5060	16
0	8548	15
0	5	8
1	21	8
2	152	8
3	1497	8
0	9528	8

Stop Event

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

preprocess136.0ms (3.7%)

Memory: -5.1MiB live, 77.3MiB allocated
Compiler: Compiled 80 to 40 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11

analyze0.0ms (0%)

sample482.0ms (13%)

preprocess33.0ms (0.9%)

explain47.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.5%)

localize16.0ms (0.4%)

series2.0ms (0.1%)

rewrite329.0ms (8.9%)

simplify676.0ms (18.2%)

eval37.0ms (1%)

prune39.0ms (1%)

simplify5.0ms (0.1%)

localize31.0ms (0.8%)

series32.0ms (0.9%)

rewrite380.0ms (10.2%)

simplify327.0ms (8.8%)

eval56.0ms (1.5%)

prune64.0ms (1.7%)

simplify4.0ms (0.1%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite8.0ms (0.2%)

simplify4.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes18.0ms (0.5%)

regimes10.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch21.0ms (0.6%)

simplify10.0ms (0.3%)

soundness903.0ms (24.3%)

preprocess136.0ms (3.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11