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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample556.0ms (14.8%)

Memory

-9.5MiB live, 1 009.8MiB allocated

Samples

360.0ms	8 104×	0	valid
6.0ms	51×	2	valid
4.0ms	65×	1	valid
4.0ms	36×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 53.0ms (45.2% of total)

ival-sub: 49.0ms (41.8% of total)

exact: 5.0ms (4.3% of total)

ival-true: 5.0ms (4.3% of total)

ival-assert: 3.0ms (2.6% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

preprocess30.0ms (0.8%)

Memory

17.8MiB live, 55.3MiB 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
(* 200 (- x y))

Outputs
(* 200 (- x y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))

Call 2

Inputs
(* 200 (- x y))
(* 200 (- (neg x) y))
(* 200 (- x (neg y)))
(neg (* 200 (- (neg x) y)))
(neg (* 200 (- x (neg y))))
(* 200 (- y x))

Outputs
(* 200 (- x y))
(* 200 (- (neg x) y))
(* (+ x y) -200)
(* 200 (- x (neg y)))
(* 200 (+ x y))
(neg (* 200 (- (neg x) y)))
(* 200 (+ x y))
(neg (* 200 (- x (neg y))))
(* (+ x y) -200)
(* 200 (- y x))

explain52.0ms (1.4%)

Memory

-5.1MiB live, 114.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
-	-	`#s(literal 200 binary64)`
-	-	`y`
-	-	`(-.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

26.0ms	500×	0	valid
0.0ms	4×	3	valid
0.0ms	6×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (67.7% of total)

ival-sub: 3.0ms (25.4% 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 #s(literal 200 binary64) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify16.0ms (0.4%)

Memory

-12.9MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) (-.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
(* 200 (- x y))
200
(- x y)
x
y

Outputs
(* 200 (- x y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
200
#s(literal 200 binary64)
(- x y)
(-.f64 x y)
x
y

localize17.0ms (0.4%)

Memory

9.5MiB live, 48.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.9%	(*.f64 #s(literal 200 binary64) (-.f64 x y))

Samples

11.0ms	250×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	3	valid
0.0ms	1×	2	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 (56.2% of total)

ival-sub: 1.0ms (28.1% 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)

series3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* 200 (- x y))>
#<alt (- x y)>

Outputs
#<alt (* -200 y)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* 200 x)>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* 200 x)>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* 200 x)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* -200 y)>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* -200 y)>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<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)))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 200 (- x y))
0.0ms	x	@	-inf	(* 200 (- x y))
0.0ms	y	@	inf	(* 200 (- x y))
0.0ms	x	@	0	(* 200 (- x y))
0.0ms	x	@	inf	(- x y)

rewrite333.0ms (8.9%)

Memory

-4.2MiB live, 627.7MiB 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	1501	8
0	9465	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 251

Calls

Call 1

Inputs
(* 200 (- x y))
(- x y)

Outputs
(+.f64 (.f64 y #s(literal -200 binary64)) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal -200 binary64)))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (fma.f64 #s(literal 200 binary64) x (.f64 y #s(literal 200 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (fma.f64 #s(literal 200 binary64) x (.f64 y #s(literal 200 binary64)))))
(fma.f64 #s(literal 200 binary64) x (*.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal 200 binary64) (neg.f64 y) (*.f64 #s(literal 200 binary64) x))
(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
(fma.f64 (neg.f64 y) #s(literal 200 binary64) (*.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 200 binary64)) (.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 200 binary64) y) (.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 200 binary64) x))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 200 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 200 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 40000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal -200 binary64))))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 200 binary64) x (.f64 y #s(literal 200 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (*.f64 y y) #s(literal 40000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 200 binary64) (+.f64 x y)))))
(/.f64 (.f64 #s(literal 200 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (+.f64 x y)) (+.f64 x y))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -200 binary64)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))
(/.f64 (.f64 #s(literal 200 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (fma.f64 (.f64 x x) #s(literal 40000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 (.f64 #s(literal 200 binary64) x) (*.f64 y #s(literal -200 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (.f64 y y) #s(literal 40000 binary64))) (fma.f64 #s(literal 200 binary64) x (*.f64 y #s(literal 200 binary64))))
(/.f64 #s(literal -200 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (+.f64 x y)) (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -200 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (.f64 (+.f64 x y) (-.f64 y x)))) (+.f64 x y))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 40000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 (.f64 #s(literal 200 binary64) x) (*.f64 y #s(literal -200 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (.f64 y y) #s(literal 40000 binary64)))) (neg.f64 (fma.f64 #s(literal 200 binary64) x (*.f64 y #s(literal 200 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64))) (fma.f64 (.f64 y y) #s(literal 40000 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (.f64 y #s(literal -200 binary64)) (*.f64 #s(literal 200 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 (.f64 x x) #s(literal 40000 binary64))) (-.f64 (.f64 y #s(literal -200 binary64)) (.f64 #s(literal 200 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 200 binary64) (+.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 200 binary64) (+.f64 x y))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))) #s(literal 200 binary64)))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 200 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64)))
(.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal 200 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 200 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (+.f64 x y)))
(.f64 (.f64 #s(literal 200 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (.f64 (*.f64 #s(literal 200 binary64) (+.f64 x y)) (+.f64 x y)) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -200 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (.f64 #s(literal 200 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 40000 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal -200 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (.f64 y y) #s(literal 40000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 200 binary64) x (.f64 y #s(literal 200 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 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 200 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (+.f64 x y))
(.f64 (/.f64 (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (+.f64 x y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(+.f64 x y)
(+.f64 x (neg.f64 y))
(+.f64 y x)
(+.f64 (neg.f64 y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))) (.f64 (.f64 y y) (/.f64 y (fma.f64 y (-.f64 y x) (.f64 x x)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (neg.f64 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 y x))) #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 x (neg.f64 y))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))) (.f64 (.f64 y y) (/.f64 y (fma.f64 y (-.f64 y x) (.f64 x x)))))
(-.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 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 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))))))
(-.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 #s(literal 0 binary64) (-.f64 y x)) (-.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 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 y (-.f64 y x) (.f64 x x))))
(-.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 (-.f64 y x) (.f64 x x))) (/.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 (-.f64 y x) (.f64 x x))))
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(/.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))) (pow.f64 (.f64 (neg.f64 y) (/.f64 y (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (-.f64 (.f64 (.f64 (neg.f64 y) (/.f64 y (+.f64 x y))) (.f64 (neg.f64 y) (/.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (neg.f64 y) (/.f64 y (+.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 #s(literal 0 binary64) (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (.f64 (.f64 (neg.f64 y) (/.f64 y (+.f64 x y))) (.f64 (neg.f64 y) (/.f64 y (+.f64 x y))))) (-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (neg.f64 y) (/.f64 y (+.f64 x y)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x x (*.f64 x (neg.f64 y))))))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x x (*.f64 x y)))))
(.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (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))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(.f64 (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))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))))))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))) (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (fma.f64 x x (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))))
(.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) (+.f64 x y) (.f64 (-.f64 y x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))))) (.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 y (-.f64 y x) (.f64 x x)))) (.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 y (-.f64 y x) (.f64 x x)))) (.f64 (.f64 y y) (/.f64 y (fma.f64 y (-.f64 y x) (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 x x) (fma.f64 y (-.f64 y x) (.f64 x x)))) (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 y y) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 y y) (fma.f64 y (-.f64 y x) (.f64 x x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))) (.f64 (.f64 y y) (/.f64 y (fma.f64 y (-.f64 y x) (.f64 x x)))))))))
(.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))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))))
(.f64 (/.f64 (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))))) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.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 y (-.f64 y x) (.f64 x x)))
(.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 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 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 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x 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 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.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 y (-.f64 y x) (.f64 x x)) (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 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.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 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal -1/2 binary64)))

simplify574.0ms (15.3%)

Memory

10.0MiB live, 845.7MiB 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	314	207
3	852	171
4	1749	171
5	2885	171
6	3977	171
7	4663	171
8	5012	171
9	5121	171
10	5833	171
11	7621	171
0	8087	171

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -200 y)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* 200 x)
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* 200 x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* 200 x)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* -200 y)
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* -200 y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -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)))))

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 y)
(neg.f64 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)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 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)

eval38.0ms (1%)

Memory: 0.3MiB live, 81.2MiB allocated
Compiler: Compiled 9 612 to 828 computations (91.4% saved)

prune35.0ms (0.9%)

Memory

4.1MiB live, 79.0MiB 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 -200 binary64) (*.f64 #s(literal 200 binary64) x))
▶	100.0%	(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
✓	99.9%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
▶	54.4%	(*.f64 #s(literal 200 binary64) x)
▶	46.9%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 200 binary64) x)
✓	cost-diff	(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
✓	cost-diff	(*.f64 y #s(literal -200 binary64))
✓	cost-diff	(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
✓	cost-diff	(*.f64 #s(literal 200 binary64) x)
✓	cost-diff	(*.f64 #s(literal -200 binary64) y)

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	12	38
0	12	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* -200 y)
-200
y
(* 200 x)
200
x
(+ (* x 200) (* y -200))
x
200
(* y -200)
y
-200
(+ (* y -200) (* 200 x))
y
-200
(* 200 x)
200
x

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
-200
#s(literal -200 binary64)
y
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
200
#s(literal 200 binary64)
x
(+ (* x 200) (* y -200))
(fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 200 binary64) x))
x
200
#s(literal 200 binary64)
(* y -200)
(*.f64 #s(literal -200 binary64) y)
y
-200
#s(literal -200 binary64)
(+ (* y -200) (* 200 x))
(fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 200 binary64) x))
y
-200
#s(literal -200 binary64)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
200
#s(literal 200 binary64)
x

localize36.0ms (1%)

Memory

-17.4MiB live, 66.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
✓	accuracy	100.0%	(*.f64 y #s(literal -200 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -200 binary64) y)

Samples

20.0ms	250×	0	valid
0.0ms	2×	3	valid
0.0ms	3×	1	valid
0.0ms	1×	4	valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.4% of total)

ival-add: 2.0ms (22.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (* -200 y)>
#<alt (* 200 x)>
#<alt (+ (* x 200) (* y -200))>
#<alt (* y -200)>
#<alt (+ (* y -200) (* 200 x))>

Outputs
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* -200 y)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* 200 x)>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* 200 x)>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* 200 x)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* -200 y)>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* -200 y)>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* 200 x)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* -200 y)>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* -200 y)>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -200 y)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* 200 x)>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* 200 x)>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* -200 y)
0.0ms	y	@	-inf	(* -200 y)
0.0ms	y	@	0	(* -200 y)
0.0ms	x	@	inf	(* 200 x)
0.0ms	x	@	0	(* 200 x)

rewrite741.0ms (19.7%)

Memory

-3.0MiB live, 595.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 776×	`accelerator-lowering-fma.f32`
6 776×	`accelerator-lowering-fma.f64`
4 318×	`-lowering-.f32`
4 318×	`-lowering-.f64`
3 658×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	40	23
2	285	23
3	3183	23
0	8107	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 427

Calls

Call 1

Inputs
(* -200 y)
(* 200 x)
(+ (* x 200) (* y -200))
(* y -200)
(+ (* y -200) (* 200 x))

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal -200 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -200 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -200 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal -200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal -200 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -200 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -200 binary64))) (exp.f64 (log.f64 y)))
(exp.f64 (log.f64 (*.f64 #s(literal 200 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 200 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 200 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 200 binary64) x)
(*.f64 #s(literal 200 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 200 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 200 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 200 binary64))) (exp.f64 (log.f64 x)))
(+.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y))
(+.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal 200 binary64) x))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 200 binary64) (+.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal 200 binary64) (+.f64 x y)))))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal -200 binary64) (+.f64 y x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -200 binary64) y (.f64 #s(literal 200 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 200 binary64) (+.f64 x y))) (/.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal 200 binary64) (+.f64 x y))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal -200 binary64) (+.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal -200 binary64) (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal -200 binary64) (+.f64 y x)))) (/.f64 (.f64 #s(literal 40000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (*.f64 #s(literal -200 binary64) (+.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)))) (/.f64 (.f64 #s(literal 40000 binary64) (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (*.f64 #s(literal 200 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (fma.f64 #s(literal 8000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 8000000 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (fma.f64 #s(literal 8000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 8000000 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (fma.f64 #s(literal -8000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8000000 binary64)))) (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (fma.f64 #s(literal -8000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8000000 binary64)))) (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (fma.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 200 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (fma.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 200 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal 200 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal 200 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 #s(literal -200 binary64) (+.f64 y x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 #s(literal -200 binary64) (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal -200 binary64) (+.f64 y x))) (/.f64 (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal -200 binary64) (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x)))))) (/.f64 (fma.f64 #s(literal -8000000 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8000000 binary64) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (*.f64 #s(literal -200 binary64) (+.f64 y x)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x)))) (fma.f64 #s(literal 8000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 8000000 binary64) (.f64 y (.f64 y y)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x)))) (fma.f64 #s(literal 8000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 8000000 binary64) (.f64 y (.f64 y y)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (fma.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (fma.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x)))) (fma.f64 #s(literal -8000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8000000 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 40000 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) (+.f64 y x)))) (fma.f64 #s(literal -8000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8000000 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64000000000000 binary64))) (.f64 (.f64 #s(literal -200 binary64) (+.f64 y x)) (fma.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64000000000000 binary64))) (.f64 (.f64 #s(literal -200 binary64) (+.f64 y x)) (fma.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)))))))
(-.f64 (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 #s(literal -200 binary64) (+.f64 y x)) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))))) (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal -200 binary64) (+.f64 y x)) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))))))
(-.f64 (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))))) (/.f64 (.f64 #s(literal 1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (.f64 #s(literal 40000 binary64) (fma.f64 x x (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (.f64 #s(literal 200 binary64) (+.f64 x y))) (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (.f64 #s(literal 200 binary64) (+.f64 x y)))) (/.f64 (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (.f64 y (.f64 y #s(literal 40000 binary64)))) (.f64 (.f64 #s(literal 200 binary64) (+.f64 x y)) (.f64 #s(literal 200 binary64) (+.f64 x y)))))
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(.f64 (/.f64 (.f64 #s(literal 40000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (fma.f64 #s(literal -8000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8000000 binary64)))) (fma.f64 y (fma.f64 y #s(literal 40000 binary64) (.f64 x #s(literal -40000 binary64))) (.f64 x (.f64 x #s(literal 40000 binary64)))))
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simplify325.0ms (8.7%)

Memory

24.6MiB live, 252.3MiB 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	396
1	64	396
2	167	396
3	357	360
4	703	324
5	2133	324
6	3875	324
7	5100	324
8	5710	324
9	6114	324
10	6499	324
11	6899	324
12	7955	324
0	8072	324

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* -200 y)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* 200 x)
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* 200 x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* 200 x)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* -200 y)
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* -200 y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* 200 x)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* -200 y)
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* -200 y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -200 y)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* 200 x)
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* 200 x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))

eval105.0ms (2.8%)

Memory: -38.3MiB live, 92.5MiB allocated
Compiler: Compiled 18 518 to 679 computations (96.3% saved)

prune60.0ms (1.6%)

Memory

21.4MiB live, 60.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	532	0	532
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	532	5	537

Accuracy

100.0%

Counts

537 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
✓	100.0%	(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
✓	99.9%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	54.4%	(*.f64 #s(literal 200 binary64) x)
✓	46.9%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes36.0ms (1%)

Memory

-19.4MiB live, 19.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))

Outputs
(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))

Calls

4 calls:

28.0ms	x
3.0ms	(-.f64 x y)
2.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)
(*.f64 #s(literal 200 binary64) (-.f64 x y))

Outputs
(*.f64 #s(literal 200 binary64) (-.f64 x y))

Calls

4 calls:

2.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
2.0ms	x
2.0ms	(-.f64 x y)
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
99.9%	1	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-25.5MiB live, 19.8MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)

Outputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)
(*.f64 #s(literal -200 binary64) y)

Calls

4 calls:

4.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
73.3%	3	`x`
79.3%	3	`y`
60.0%	4	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
60.0%	4	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)

Outputs
(*.f64 #s(literal -200 binary64) y)

Calls

4 calls:

1.0ms	y
1.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
46.9%	1	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
46.9%	1	`(-.f64 x y)`
46.9%	1	`x`
46.9%	1	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch20.0ms (0.5%)

Memory

6.7MiB live, 46.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.732471090020018e-29	9.593539009953319e-24
9.0ms	-2.064181403474551	-0.00017555946696705405

Samples

10.0ms	266×	0	valid
0.0ms	4×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 214 to 180 computations (15.9% saved)

Precisions

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

ival-mult: 2.0ms (54.9% of total)

ival-sub: 1.0ms (27.4% 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)

simplify41.0ms (1.1%)

Memory

-19.4MiB live, 19.1MiB 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 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -8416326983629983/576460752303423488 binary64)) (.f64 #s(literal -200 binary64) y) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (.f64 #s(literal 200 binary64) x) (*.f64 #s(literal -200 binary64) y)))
(*.f64 #s(literal -200 binary64) y)

Outputs
(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -8416326983629983/576460752303423488 binary64)) (.f64 #s(literal -200 binary64) y) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (.f64 #s(literal 200 binary64) x) (*.f64 #s(literal -200 binary64) y)))
(if (<=.f64 y #s(literal -8416326983629983/576460752303423488 binary64)) (.f64 y #s(literal -200 binary64)) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (.f64 x #s(literal 200 binary64)) (*.f64 y #s(literal -200 binary64))))
(*.f64 #s(literal -200 binary64) y)
(*.f64 y #s(literal -200 binary64))

soundness675.0ms (18%)

Memory

16.8MiB live, 292.9MiB allocated

Rules

26 396×	`accelerator-lowering-fma.f32`
26 396×	`accelerator-lowering-fma.f64`
5 754×	`accelerator-lowering-fma.f32`
5 754×	`accelerator-lowering-fma.f64`
3 260×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	21	8
2	152	8
3	1501	8
0	9465	8
0	40	207
1	118	207
2	314	207
3	852	171
4	1749	171
5	2885	171
6	3977	171
7	4663	171
8	5012	171
9	5121	171
10	5833	171
11	7621	171
0	8087	171

Stop Event

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

preprocess28.0ms (0.7%)

Memory: -14.6MiB live, 63.3MiB 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%)

sample556.0ms (14.8%)

preprocess30.0ms (0.8%)

explain52.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.4%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

rewrite333.0ms (8.9%)

simplify574.0ms (15.3%)

eval38.0ms (1%)

prune35.0ms (0.9%)

simplify5.0ms (0.1%)

localize36.0ms (1%)

series3.0ms (0.1%)

rewrite741.0ms (19.7%)

simplify325.0ms (8.7%)

eval105.0ms (2.8%)

prune60.0ms (1.6%)

regimes36.0ms (1%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch20.0ms (0.5%)

simplify41.0ms (1.1%)

soundness675.0ms (18%)

preprocess28.0ms (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