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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.0s (28.4%)

Memory

-5.6MiB live, 858.5MiB allocated

Samples

646.0ms	8 227×	0	valid
1.0ms	11×	2	valid
1.0ms	14×	1	valid
0.0ms	4×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-sub: 84.0ms (54% of total)

ival-mult: 60.0ms (38.6% of total)

ival-true: 5.0ms (3.2% of total)

exact: 4.0ms (2.6% of total)

ival-assert: 3.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess38.0ms (1.1%)

Memory

-8.9MiB live, 87.0MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 500 (- x y))

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

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))

explain93.0ms (2.6%)

Memory

1.4MiB live, 120.7MiB 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

67.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 26.0ms (87.8% of total)

ival-sub: 3.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify18.0ms (0.5%)

Memory

-0.3MiB live, 39.1MiB 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 500 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
(* 500 (- x y))
500
(- x y)
x
y

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

localize15.0ms (0.4%)

Memory

5.6MiB live, 44.6MiB 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

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-sub: 3.0ms (65.9% of total)

ival-mult: 2.0ms (43.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

Outputs
#<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 (* -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	(* 500 (- x y))
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))

rewrite269.0ms (7.6%)

Memory

5.6MiB live, 596.9MiB 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	1501	8
0	9465	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 251

Calls

Call 1

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

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

simplify602.0ms (16.9%)

Memory

-3.2MiB live, 706.0MiB 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
(* -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)))))
(* -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
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(+ (* -500 y) (* 500 x))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(+ (* -500 y) (* 500 x))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(+ (* -500 y) (* 500 x))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* 500 x)
(*.f64 #s(literal 500 binary64) x)
(* x (+ 500 (* -500 (/ y x))))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* 500 x)
(*.f64 #s(literal 500 binary64) x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* 500 x)
(*.f64 #s(literal 500 binary64) x)
(+ (* -500 y) (* 500 x))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(+ (* -500 y) (* 500 x))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(+ (* -500 y) (* 500 x))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* y (- (* 500 (/ x y)) 500))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* y (- (* 500 (/ x y)) 500))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* y (- (* 500 (/ x y)) 500))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* -500 y)
(*.f64 #s(literal -500 binary64) y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 #s(literal -500 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)

eval34.0ms (1%)

Memory: 18.1MiB live, 57.8MiB allocated
Compiler: Compiled 9 612 to 828 computations (91.4% saved)

prune41.0ms (1.2%)

Memory

-3.4MiB live, 72.3MiB 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 #s(literal 500 binary64) x))
▶	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))
▶	51.8%	(*.f64 #s(literal 500 binary64) x)
▶	48.8%	(*.f64 #s(literal -500 binary64) y)

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

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

localize34.0ms (1%)

Memory

-4.3MiB live, 77.6MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

ival-mult: 6.0ms (71.2% of total)

ival-add: 2.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 84

Calls

Call 1

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

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)>
#<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 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)))>

Calls

21 calls:

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

rewrite336.0ms (9.4%)

Memory

0.6MiB live, 593.5MiB 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
(* -500 y)
(* 500 x)
(+ (* x 500) (* y -500))
(* y -500)
(+ (* y -500) (* 500 x))

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal -500 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -500 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -500 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -500 binary64) y)
(*.f64 #s(literal -500 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal -500 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -500 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -500 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -500 binary64))) (exp.f64 (log.f64 y)))
(exp.f64 (log.f64 (*.f64 #s(literal 500 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 500 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 500 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 500 binary64) x)
(*.f64 #s(literal 500 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 500 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 500 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) (exp.f64 (log.f64 x)))
(+.f64 (.f64 #s(literal 500 binary64) x) (.f64 #s(literal -500 binary64) y))
(+.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal 500 binary64) x))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 500 binary64) (+.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal 500 binary64) (+.f64 x y)))))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal -500 binary64) (+.f64 y x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500 binary64) y (.f64 #s(literal 500 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 500 binary64) (+.f64 x y))) (/.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal 500 binary64) (+.f64 x y))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal -500 binary64) (+.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal -500 binary64) (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal -500 binary64) (+.f64 y x)))) (/.f64 (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)))) (/.f64 (.f64 #s(literal 250000 binary64) (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (*.f64 #s(literal 500 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 125000000 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 125000000 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (fma.f64 #s(literal -125000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64)))) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (fma.f64 #s(literal -125000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64)))) (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (fma.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 500 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (fma.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 500 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal 500 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal 500 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 #s(literal -500 binary64) (+.f64 y x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 #s(literal -500 binary64) (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal -500 binary64) (+.f64 y x))) (/.f64 (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y)))) (.f64 #s(literal -500 binary64) (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x)))))) (/.f64 (fma.f64 #s(literal -125000000 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x)))) (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 125000000 binary64) (.f64 y (.f64 y y)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x)))) (fma.f64 #s(literal 125000000 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 125000000 binary64) (.f64 y (.f64 y y)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (fma.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (fma.f64 (.f64 y (.f64 y #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x)))) (fma.f64 #s(literal -125000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 250000 binary64)) (.f64 (.f64 #s(literal -500 binary64) y) (.f64 #s(literal -500 binary64) (+.f64 y x)))) (fma.f64 #s(literal -125000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 15625000000000000 binary64))) (.f64 (.f64 #s(literal -500 binary64) (+.f64 y x)) (fma.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625000000000000 binary64))) (.f64 (.f64 #s(literal -500 binary64) (+.f64 y x)) (fma.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)))))))
(-.f64 (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 #s(literal -500 binary64) (+.f64 y x)) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))))) (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal -500 binary64) (+.f64 y x)) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))))))
(-.f64 (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))))) (/.f64 (.f64 #s(literal 62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (.f64 #s(literal 250000 binary64) (fma.f64 x x (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 250000 binary64))) (.f64 #s(literal 500 binary64) (+.f64 x y))) (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (.f64 #s(literal 500 binary64) (+.f64 x y)))) (/.f64 (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (.f64 y (.f64 y #s(literal 250000 binary64)))) (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (.f64 #s(literal 500 binary64) (+.f64 x y)))))
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(.f64 (/.f64 (.f64 #s(literal 250000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (fma.f64 #s(literal -125000000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -125000000 binary64)))) (fma.f64 y (fma.f64 y #s(literal 250000 binary64) (.f64 x #s(literal -250000 binary64))) (.f64 x (.f64 x #s(literal 250000 binary64)))))
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simplify283.0ms (7.9%)

Memory

-2.8MiB live, 242.1MiB 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
(* -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 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 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)))

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

eval93.0ms (2.6%)

Memory: 12.9MiB live, 125.6MiB allocated
Compiler: Compiled 18 518 to 679 computations (96.3% saved)

prune41.0ms (1.2%)

Memory

8.9MiB live, 85.4MiB 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 -500 binary64) (*.f64 #s(literal 500 binary64) x))
✓	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))
✓	51.8%	(*.f64 #s(literal 500 binary64) x)
✓	48.8%	(*.f64 #s(literal -500 binary64) y)

Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes11.0ms (0.3%)

Memory

-13.4MiB live, 25.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes7.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	(-.f64 x y)
2.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
74.1%	3	`x`
77.0%	3	`y`
57.7%	3	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
57.7%	3	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-28.5MiB live, 15.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
1.0ms	(-.f64 x y)
1.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
48.8%	1	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
48.8%	1	`(-.f64 x y)`
48.8%	1	`x`
48.8%	1	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch25.0ms (0.7%)

Memory

8.0MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.624673507106976e+43	9.233966788499164e+53
10.0ms	-87929845924387140.0	-4914633.619734612

Samples

10.0ms	319×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 250 to 210 computations (16% saved)

Precisions

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

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

ival-sub: 2.0ms (48.1% 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)

simplify8.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB 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	14	23
1	22	23
2	27	23
3	29	23
4	30	23

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -790000000 binary64)) (*.f64 #s(literal -500 binary64) y) (if (<=.f64 y #s(literal 88999999999999996600612573697180211941419778048 binary64)) (*.f64 #s(literal 500 binary64) x) (*.f64 #s(literal -500 binary64) y)))

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

Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -790000000 binary64)) (.f64 #s(literal -500 binary64) y) (if (<=.f64 y #s(literal 88999999999999996600612573697180211941419778048 binary64)) (.f64 #s(literal 500 binary64) x) (*.f64 #s(literal -500 binary64) y)))
(if (<=.f64 y #s(literal -790000000 binary64)) (.f64 y #s(literal -500 binary64)) (if (<=.f64 y #s(literal 88999999999999996600612573697180211941419778048 binary64)) (.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal -500 binary64))))
(*.f64 #s(literal -500 binary64) y)
(*.f64 y #s(literal -500 binary64))

soundness555.0ms (15.6%)

Memory

-28.8MiB live, 167.1MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess25.0ms (0.7%)

Memory: 34.8MiB live, 73.8MiB allocated
Compiler: Compiled 68 to 38 computations (44.1% 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%)

sample1.0s (28.4%)

preprocess38.0ms (1.1%)

explain93.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.5%)

localize15.0ms (0.4%)

series3.0ms (0.1%)

rewrite269.0ms (7.6%)

simplify602.0ms (16.9%)

eval34.0ms (1%)

prune41.0ms (1.2%)

simplify5.0ms (0.1%)

localize34.0ms (1%)

series3.0ms (0.1%)

rewrite336.0ms (9.4%)

simplify283.0ms (7.9%)

eval93.0ms (2.6%)

prune41.0ms (1.2%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch25.0ms (0.7%)

simplify8.0ms (0.2%)

soundness555.0ms (15.6%)

preprocess25.0ms (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