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

analyze59.0ms (1.3%)

Memory

-39.2MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample715.0ms (15.4%)

Memory

11.0MiB live, 604.2MiB allocated

Samples

490.0ms	8 221×	0	valid
19.0ms	7×	3	valid
1.0ms	17×	1	valid
1.0ms	11×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-sub: 98.0ms (56% of total)

ival-mult: 64.0ms (36.5% of total)

ival-true: 6.0ms (3.4% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess113.0ms (2.4%)

Memory

12.6MiB live, 51.6MiB 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))

explain56.0ms (1.2%)

Memory

5.2MiB live, 85.2MiB 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

23.0ms	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 (41.7% of total)

ival-sub: 3.0ms (41.7% 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 (0.4%)

Memory

-7.1MiB live, 31.3MiB 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

localize17.0ms (0.4%)

Memory

-4.8MiB live, 31.2MiB 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

12.0ms	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: 3.0ms

ival-mult: 2.0ms (58.1% of total)

ival-sub: 1.0ms (29.1% 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

5.6MiB live, 5.5MiB 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))

rewrite301.0ms (6.5%)

Memory

39.2MiB live, 667.9MiB 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))))

simplify1.2s (25%)

Memory

-33.0MiB live, 1 027.9MiB 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))

eval52.0ms (1.1%)

Memory: -12.6MiB live, 100.0MiB allocated
Compiler: Compiled 9 680 to 831 computations (91.4% saved)

prune40.0ms (0.9%)

Memory

2.8MiB live, 122.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	295	5	300

Accuracy

100.0%

Counts

300 → 5

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)))
▶	53.4%	(fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))
▶	100.0%	(fma.f64 x #s(literal 500 binary64) (*.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 34 to 26 computations (23.5% saved)

simplify5.0ms (0.1%)

Memory

16.2MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 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 y #s(literal -500 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 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	11	39
1	13	39
2	20	39
3	20	39
0	20	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize39.0ms (0.8%)

Memory

-14.2MiB live, 102.8MiB allocated

Localize:

Found 6 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 y #s(literal -500 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 500 binary64) x)

Samples

20.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-mult: 4.0ms (47.4% of total)

ival-add: 3.0ms (35.6% 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 (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

6 → 96

Calls

Call 1

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

24 calls:

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

rewrite452.0ms (9.7%)

Memory

14.2MiB live, 922.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 002×	`accelerator-lowering-fma.f32`
11 002×	`accelerator-lowering-fma.f64`
3 678×	`-lowering-.f32`
3 678×	`-lowering-.f64`
2 510×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	44	26
2	461	26
3	7073	26
0	8249	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 960

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 #s(literal 500 binary64) x #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))
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 500 binary64) #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 x (*.f64 x #s(literal 250000 binary64))) #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)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 250000 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(*.f64 #s(literal 500 binary64) x)
(*.f64 x #s(literal 500 binary64))
(+.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (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) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))
(-.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (*.f64 x #s(literal -500 binary64)))
(-.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))))
(fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 500 binary64) (/.f64 (.f64 #s(literal 500 binary64) (.f64 x x)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))
(fma.f64 x #s(literal 500 binary64) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 250000 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))
(fma.f64 y #s(literal -500 binary64) (fma.f64 #s(literal 500 binary64) x #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))) (fma.f64 #s(literal 500 binary64) x #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)) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 y (/.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))))
(fma.f64 #s(literal -500 binary64) y (fma.f64 #s(literal 500 binary64) x #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))) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -500 binary64) (/.f64 (.f64 y (.f64 y y)) (*.f64 y y)) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -500 binary64) (/.f64 (*.f64 y y) y) (fma.f64 #s(literal 500 binary64) x #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)) (fma.f64 #s(literal 500 binary64) x #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 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1/500 binary64) y)) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 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 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 binary64)))))
(fma.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 x y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.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 x y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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 x y) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 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)) (fma.f64 #s(literal 500 binary64) x #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 binary64) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #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) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.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 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 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 (fma.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 500 binary64) x (fma.f64 y #s(literal -500 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 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 (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) (.f64 #s(literal 125000000 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 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 #s(literal 250000 binary64) (-.f64 (.f64 y y) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.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) (+.f64 x y) #s(literal 0 binary64))) #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))) (fma.f64 #s(literal 500 binary64) x #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))) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 0 binary64)) (.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x #s(literal -500 binary64)) (fma.f64 #s(literal 500 binary64) (+.f64 x y) #s(literal 0 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 x #s(literal -250000 binary64)))) (.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 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 #s(literal 15625000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 x #s(literal -250000 binary64)))) (-.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 250000 binary64) #s(literal 0 binary64)) (.f64 x #s(literal -250000 binary64)))) (.f64 x (.f64 x #s(literal 250000 binary64)))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64) (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 250000 binary64) #s(literal 0 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)))))) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (fma.f64 #s(literal 500 binary64) y #s(literal 0 binary64)) (fma.f64 #s(literal -500 binary64) (+.f64 y x) #s(literal 0 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 #s(literal -125000000 binary64) (.f64 x (*.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 250000 binary64) (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))))
(.f64 (/.f64 (fma.f64 #s(literal 250000 binary64) (-.f64 (.f64 x x) (.f64 y y)) #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)))) (fma.f64 x (fma.f64 x #s(literal 250000 binary64) (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))))
(+.f64 (fma.f64 #s(literal 500 binary64) x #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))
(fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 500 binary64) #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 x (*.f64 x #s(literal 250000 binary64))) #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)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 250000 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal 500 binary64) x #s(literal 0 binary64)))
(*.f64 #s(literal 500 binary64) x)
(*.f64 x #s(literal 500 binary64))

simplify263.0ms (5.7%)

Memory

-2.7MiB live, 348.6MiB 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	432
1	64	432
2	167	432
3	357	396
4	703	360
5	2119	360
6	3854	360
7	5083	360
8	5698	360
9	6104	360
10	6489	360
11	6889	360
12	7945	360
0	8062	360

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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 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)))))
(* -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 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) (* 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 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)
(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 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))

eval215.0ms (4.6%)

Memory: 35.5MiB live, 218.0MiB allocated
Compiler: Compiled 23 635 to 1 082 computations (95.4% saved)

prune112.0ms (2.4%)

Memory

-24.7MiB live, 203.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 055	1	1 056
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 056	5	1 061

Accuracy

100.0%

Counts

1 061 → 5

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)))
✓	100.0%	(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
▶	53.4%	(*.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 33 to 25 computations (24.2% saved)

simplify4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB 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)

localize15.0ms (0.3%)

Memory

-22.6MiB live, 18.2MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

11.0ms

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 (82% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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
0.0ms	y	@	0	(* y -500)
0.0ms	y	@	inf	(* y -500)
0.0ms	y	@	-inf	(* y -500)

rewrite9.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB 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

6.2MiB live, 6.2MiB 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)

eval2.0ms (0%)

Memory: 3.4MiB live, 3.4MiB allocated
Compiler: Compiled 44 to 5 computations (88.6% saved)

prune9.0ms (0.2%)

Memory

-28.3MiB live, 8.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	14	5	19

Accuracy

100.0%

Counts

19 → 5

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)))
✓	100.0%	(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
✓	53.4%	(*.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 62 to 38 computations (38.7% saved)

regimes11.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

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

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

Calls

4 calls:

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

regimes14.0ms (0.3%)

Memory

-16.5MiB live, 21.1MiB 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:

7.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms	y
2.0ms	(-.f64 x y)
2.0ms	x

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

8.5MiB live, 8.5MiB 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 #s(literal 500 binary64) x)
(*.f64 y #s(literal -500 binary64))
(*.f64 #s(literal 500 binary64) x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.0%	3	`x`
74.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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	`y`
48.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.6%)

Memory

-1.7MiB live, 35.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.121711279293218e+85	2.527704957101334e+93
16.0ms	-3.473650132100129e-50	-7.305505805461267e-60

Samples

16.0ms

304×

valid

Compiler

Compiled 238 to 200 computations (16% saved)

Precisions

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

ival-sub: 2.0ms (48.1% of total)

ival-mult: 2.0ms (48.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB 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	15	29
1	23	29
2	28	29
3	30	29
4	31	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 x #s(literal -1237419427105547/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 #s(literal 500 binary64) x) (if (<=.f64 x #s(literal 37999999999999999175617149407532417689910461083451801762365415478374950809038787444736 binary64)) (.f64 y #s(literal -500 binary64)) (*.f64 #s(literal 500 binary64) x)))
(*.f64 #s(literal 500 binary64) x)

Outputs
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 x #s(literal -1237419427105547/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 #s(literal 500 binary64) x) (if (<=.f64 x #s(literal 37999999999999999175617149407532417689910461083451801762365415478374950809038787444736 binary64)) (.f64 y #s(literal -500 binary64)) (*.f64 #s(literal 500 binary64) x)))
(if (<=.f64 x #s(literal -1237419427105547/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 x #s(literal 500 binary64)) (if (<=.f64 x #s(literal 37999999999999999175617149407532417689910461083451801762365415478374950809038787444736 binary64)) (.f64 y #s(literal -500 binary64)) (*.f64 x #s(literal 500 binary64))))
(*.f64 #s(literal 500 binary64) x)
(*.f64 x #s(literal 500 binary64))

soundness880.0ms (18.9%)

Memory

-21.5MiB live, 393.4MiB allocated

Rules

26 396×	`accelerator-lowering-fma.f32`
26 396×	`accelerator-lowering-fma.f64`
11 002×	`accelerator-lowering-fma.f32`
11 002×	`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	5	8
1	21	8
2	152	8
3	1497	8
0	9528	8
0	11	26
1	44	26
2	461	26
3	7073	26
0	8249	24

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)

preprocess31.0ms (0.7%)

Memory: -2.3MiB live, 71.5MiB 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

analyze59.0ms (1.3%)

sample715.0ms (15.4%)

preprocess113.0ms (2.4%)

explain56.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.4%)

localize17.0ms (0.4%)

series2.0ms (0.1%)

rewrite301.0ms (6.5%)

simplify1.2s (25%)

eval52.0ms (1.1%)

prune40.0ms (0.9%)

simplify5.0ms (0.1%)

localize39.0ms (0.8%)

series4.0ms (0.1%)

rewrite452.0ms (9.7%)

simplify263.0ms (5.7%)

eval215.0ms (4.6%)

prune112.0ms (2.4%)

simplify4.0ms (0.1%)

localize15.0ms (0.3%)

series0.0ms (0%)

rewrite9.0ms (0.2%)

simplify4.0ms (0.1%)

eval2.0ms (0%)

prune9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.6%)

simplify8.0ms (0.2%)

soundness880.0ms (18.9%)

preprocess31.0ms (0.7%)

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