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

analyze0.0ms (0%)

Memory

0.5MiB 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)

sample528.0ms (7.6%)

Memory

19.9MiB live, 877.5MiB allocated

Samples

377.0ms	8 233×	0	valid
1.0ms	13×	1	valid
1.0ms	8×	2	valid
0.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-sub: 95.0ms (47.4% of total)

ival-mult: 92.0ms (45.9% of total)

ival-true: 5.0ms (2.5% of total)

exact: 4.0ms (2% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess44.0ms (0.6%)

Memory

-30.8MiB live, 59.1MiB 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))

explain51.0ms (0.7%)

Memory

25.1MiB live, 132.8MiB 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

25.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-mult: 5.0ms (55.3% of total)

ival-sub: 3.0ms (33.2% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify22.0ms (0.3%)

Memory

-5.2MiB live, 40.4MiB 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

localize17.0ms (0.2%)

Memory

2.9MiB live, 40.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

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 (61.6% of total)

ival-mult: 2.0ms (41.1% 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%)

Memory

6.5MiB live, 6.5MiB 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	x	@	-inf	(* 500 (- x y))
0.0ms	y	@	inf	(* 500 (- x y))
0.0ms	x	@	inf	(- x y)
0.0ms	x	@	0	(* 500 (- x y))

rewrite312.0ms (4.5%)

Memory

-25.0MiB live, 706.3MiB 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)) (+.f64 (.f64 #s(literal 500 binary64) x) (.f64 y #s(literal 500 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 #s(literal 500 binary64) x (*.f64 y #s(literal -500 binary64)))
(fma.f64 #s(literal 500 binary64) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (+.f64 (.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 x (.f64 x x)) #s(literal 125000000 binary64)) (.f64 (.f64 y (*.f64 y y)) #s(literal 125000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.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) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (+.f64 x y)) (+.f64 x y))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -500 binary64)) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x)))
(/.f64 (.f64 #s(literal 500 binary64) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) (+.f64 (.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 (.f64 #s(literal 500 binary64) x) (.f64 y #s(literal 500 binary64))))
(/.f64 #s(literal -500 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -500 binary64))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 500 binary64) (-.f64 (.f64 y y) (*.f64 x x)))) (+.f64 x y))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)))) (neg.f64 (+.f64 (.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 (+.f64 (.f64 #s(literal 500 binary64) x) (.f64 y #s(literal 500 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 125000000 binary64))) (+.f64 (.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 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 500 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 500 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 500 binary64)))
(.f64 (+.f64 (.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) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(.f64 (.f64 (*.f64 #s(literal 500 binary64) (+.f64 x y)) (+.f64 x y)) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -500 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x))))
(.f64 (.f64 #s(literal 500 binary64) (-.f64 (.f64 y y) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (+.f64 (.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 (.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) (+.f64 (.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal 500 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 500 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))))) (+.f64 (.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 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -500 binary64)) (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(.f64 (/.f64 (.f64 (.f64 #s(literal 500 binary64) (+.f64 x y)) (+.f64 x y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(+.f64 x y)
(+.f64 x (-.f64 #s(literal 0 binary64) y))
(+.f64 y x)
(+.f64 (-.f64 #s(literal 0 binary64) y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))))
(+.f64 #s(literal 0 binary64) (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 x (-.f64 #s(literal 0 binary64) y))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (.f64 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 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
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(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (+.f64 x y))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.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 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 x y))) (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x y))) (-.f64 (.f64 y y) (.f64 x x)))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 x (.f64 x x))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 x (.f64 x x)))) (-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (+.f64 x y) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 #s(literal 0 binary64) (-.f64 y x)))))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (+.f64 x y) (.f64 x x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y))))) (-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (+.f64 x y)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (.f64 x y)))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 x y)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (+.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x))))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (+.f64 (.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 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))))
(.f64 (+.f64 (.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 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 y y)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 y y)))) (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (-.f64 y x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))
(.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 x (.f64 x x))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (*.f64 y y))))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (+.f64 x y) (.f64 x x))) (+.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (+.f64 x y) (.f64 y y))) (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 y y)))))))
(.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))))) (+.f64 (.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 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.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) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(*.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)))

simplify913.0ms (13.2%)

Memory

4.9MiB live, 874.1MiB 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)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval78.0ms (1.1%)

Memory: 26.4MiB live, 64.3MiB allocated
Compiler: Compiled 10 236 to 823 computations (92% saved)

prune58.0ms (0.8%)

Memory

-21.9MiB live, 81.6MiB 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
▶	99.6%	(/.f64 #s(literal 500 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
▶	100.0%	(-.f64 (.f64 #s(literal 500 binary64) x) (.f64 y #s(literal 500 binary64)))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
▶	49.6%	(*.f64 #s(literal 500 binary64) x)
▶	50.8%	(*.f64 #s(literal -500 binary64) y)

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify33.0ms (0.5%)

Memory

-3.5MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 y x))
✓	cost-diff	128	(/.f64 #s(literal 500 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	cost-diff	0	(*.f64 y #s(literal 500 binary64))
✓	cost-diff	0	(*.f64 #s(literal 500 binary64) x)
✓	cost-diff	128	(-.f64 (.f64 #s(literal 500 binary64) x) (.f64 y #s(literal 500 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 500 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal -500 binary64) y)

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
180×	`div-sub`
160×	`-lowering-.f32`
160×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	24	41
2	45	41
3	77	41
4	132	41
5	204	41
6	283	41
7	331	41
8	346	41
9	368	41
10	496	41
11	722	41
12	762	41
0	762	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize37.0ms (0.5%)

Memory

4.7MiB live, 44.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 y x))
✓	accuracy	99.6%	(/.f64 #s(literal 500 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	accuracy	100.0%	(*.f64 y #s(literal 500 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 500 binary64) x)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 500 binary64) x) (.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

22.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-div: 4.0ms (33.2% of total)

ival-mult: 4.0ms (33.2% of total)

ival-sub: 2.0ms (16.6% of total)

ival-assert: 1.0ms (8.3% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (* -500 y)>
#<alt (* 500 x)>
#<alt (- (* 500 x) (* y 500))>
#<alt (* y 500)>
#<alt (/ 500 (/ -1 (- y x)))>
#<alt (/ -1 (- y x))>
#<alt (- y 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 x) (* 500 y))>
#<alt (- (* 500 x) (* 500 y))>
#<alt (- (* 500 x) (* 500 y))>
#<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)))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y (pow x 2)))>
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 y)>
#<alt (/ (- (* -1 (/ x y)) 1) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)>
#<alt (/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ x y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))>
#<alt (/ -1 y)>
#<alt (- (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ y x)) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(- (* 500 x) (* y 500))
0.0ms	x	@	inf	(/ -1 (- y x))
0.0ms	y	@	-inf	(* -500 y)
0.0ms	y	@	inf	(* -500 y)
0.0ms	y	@	0	(/ -1 (- y x))

rewrite452.0ms (6.5%)

Memory

11.8MiB live, 518.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 280×	`accelerator-lowering-fma.f32`
5 280×	`accelerator-lowering-fma.f64`
4 718×	`-lowering-.f32`
4 718×	`-lowering-.f64`
2 104×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	64	27
2	441	27
3	4208	27
0	8706	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 579

Calls

Call 1

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

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

simplify415.0ms (6%)

Memory

-27.2MiB live, 739.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 398×	`accelerator-lowering-fma.f32`
11 398×	`accelerator-lowering-fma.f64`
3 942×	`-lowering-.f32`
3 942×	`-lowering-.f64`
2 886×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	704
1	441	690
2	1182	653
3	4687	645
0	8420	629

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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 x) (* 500 y))
(- (* 500 x) (* 500 y))
(- (* 500 x) (* 500 y))
(* 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)))
(/ 1 x)
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ -1 y)
(/ (- (* -1 (/ x y)) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ x y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(/ -1 y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

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 x) (* 500 y))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(- (* 500 x) (* 500 y))
(*.f64 #s(literal -500 binary64) (-.f64 y x))
(- (* 500 x) (* 500 y))
(*.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 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 500 y)
(*.f64 y #s(literal 500 binary64))
(* 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y (pow x 2)))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x)
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x) (/.f64 (.f64 y (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1 (/ x y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ x y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))) y)
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (+.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y y))) (neg.f64 (/.f64 (.f64 x x) (.f64 y (.f64 y (*.f64 y y))))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ y x)) x)
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x))) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

eval108.0ms (1.6%)

Memory: 21.3MiB live, 213.2MiB allocated
Compiler: Compiled 15 772 to 1 286 computations (91.8% saved)

prune77.0ms (1.1%)

Memory

6.9MiB live, 164.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	734	1	735
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	735	5	740

Accuracy

100.0%

Counts

740 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(literal 500 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	49.6%	(*.f64 #s(literal 500 binary64) x)
✓	50.8%	(*.f64 #s(literal -500 binary64) y)
▶	99.8%	(neg.f64 (/.f64 (-.f64 y x) #s(literal 1/500 binary64)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify18.0ms (0.3%)

Memory

-16.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) #s(literal 1/500 binary64))
✓	cost-diff	64	(neg.f64 (/.f64 (-.f64 y x) #s(literal 1/500 binary64)))

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
68×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	20	16
2	37	16
3	89	16
4	193	16
5	316	16
6	392	16
7	425	16
0	425	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (/ (- y x) 1/500))
(/ (- y x) 1/500)
(- y x)
y
x
1/500

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

localize25.0ms (0.4%)

Memory

15.9MiB live, 52.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(neg.f64 (/.f64 (-.f64 y x) #s(literal 1/500 binary64)))
✓	accuracy	99.8%	(/.f64 (-.f64 y x) #s(literal 1/500 binary64))

Samples

17.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

const: 3.0ms (37.8% of total)

ival-div: 2.0ms (25.2% of total)

ival-sub: 1.0ms (12.6% of total)

ival-neg: 1.0ms (12.6% of total)

adjust: 0.0ms (0% of total)

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

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

series2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (neg (/ (- y x) 1/500))>
#<alt (/ (- y x) 1/500)>
#<alt (- y x)>

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(neg (/ (- y x) 1/500))
0.0ms	y	@	inf	(neg (/ (- y x) 1/500))
0.0ms	y	@	-inf	(neg (/ (- y x) 1/500))
0.0ms	x	@	inf	(neg (/ (- y x) 1/500))
0.0ms	x	@	-inf	(neg (/ (- y x) 1/500))

rewrite481.0ms (7%)

Memory

-14.9MiB live, 861.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 104×	`-lowering-.f32`
6 104×	`-lowering-.f64`
4 720×	`/-lowering-/.f32`
4 720×	`/-lowering-/.f64`
3 624×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	259	13
3	3242	13
0	10311	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 571

Calls

Call 1

Inputs
(neg (/ (- y x) 1/500))
(/ (- y x) 1/500)
(- y x)

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

simplify643.0ms (9.3%)

Memory

35.8MiB live, 1 046.5MiB allocated

Algorithm

1×	egg-herbie

Rules

29 304×	`accelerator-lowering-fma.f32`
29 304×	`accelerator-lowering-fma.f64`
2 868×	`+-lowering-+.f64`
2 868×	`+-lowering-+.f32`
2 212×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	315
1	140	315
2	386	315
3	1088	279
4	2404	279
5	3233	279
6	4110	279
7	4912	279
8	5233	279
9	5344	279
10	7535	279
0	8001	279

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval92.0ms (1.3%)

Memory: -34.2MiB live, 180.6MiB allocated
Compiler: Compiled 12 405 to 1 744 computations (85.9% saved)

prune78.0ms (1.1%)

Memory

9.4MiB live, 212.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	641	2	643
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	642	6	648

Accuracy

100.0%

Counts

648 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 y x) #s(literal -1/500 binary64))
✓	99.6%	(/.f64 #s(literal 500 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	49.6%	(*.f64 #s(literal 500 binary64) x)
✓	50.8%	(*.f64 #s(literal -500 binary64) y)
▶	50.7%	(neg.f64 (/.f64 y #s(literal 1/500 binary64)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

simplify17.0ms (0.2%)

Memory

7.0MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) #s(literal -1/500 binary64))
✓	cost-diff	0	(/.f64 y #s(literal 1/500 binary64))
✓	cost-diff	64	(neg.f64 (/.f64 y #s(literal 1/500 binary64)))

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	8	19
1	20	19
2	31	19
3	54	19
4	94	19
5	159	19
6	258	19
7	314	19
8	324	19
0	324	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (/ y 1/500))
(/ y 1/500)
y
1/500
(/ (- y x) -1/500)
(- y x)
y
x
-1/500

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

localize101.0ms (1.5%)

Memory

-5.8MiB live, 73.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	99.8%	(/.f64 (-.f64 y x) #s(literal -1/500 binary64))
✓	accuracy	100.0%	(neg.f64 (/.f64 y #s(literal 1/500 binary64)))
✓	accuracy	99.8%	(/.f64 y #s(literal 1/500 binary64))

Samples

92.0ms	254×	0	valid
0.0ms	1×	5	exit
0.0ms	1×	2	valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

const: 7.0ms (55.3% of total)

ival-div: 3.0ms (23.7% of total)

ival-neg: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

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

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

4 → 72

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(neg (/ y 1/500))
0.0ms	y	@	0	(neg (/ y 1/500))
0.0ms	y	@	-inf	(neg (/ y 1/500))
0.0ms	x	@	-inf	(/ (- y x) -1/500)
0.0ms	x	@	inf	(/ (- y x) -1/500)

rewrite755.0ms (10.9%)

Memory

11.0MiB live, 457.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 316×	`/-lowering-/.f32`
4 316×	`/-lowering-/.f64`
2 812×	`-lowering-.f32`
2 812×	`-lowering-.f64`
2 408×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	48	14
2	276	14
3	3390	14
0	8882	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 774

Calls

Call 1

Inputs
(neg (/ y 1/500))
(/ y 1/500)
(/ (- y x) -1/500)
(- y x)

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

simplify641.0ms (9.3%)

Memory

-11.5MiB live, 973.8MiB 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	41	279
1	119	279
2	310	279
3	847	243
4	1771	243
5	2907	243
6	3985	243
7	4661	243
8	4996	243
9	5105	243
10	5804	243
11	7592	243
0	8058	243

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval151.0ms (2.2%)

Memory: 1.0MiB live, 197.1MiB allocated
Compiler: Compiled 16 669 to 1 631 computations (90.2% saved)

prune106.0ms (1.5%)

Memory

16.5MiB live, 258.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	845	1	846
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	846	6	852

Accuracy

100.0%

Counts

852 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (-.f64 y x) #s(literal -1/500 binary64))
	50.7%	(/.f64 y #s(literal -1/500 binary64))
✓	99.6%	(/.f64 #s(literal 500 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	49.6%	(*.f64 #s(literal 500 binary64) x)
✓	50.8%	(*.f64 #s(literal -500 binary64) y)

Compiler

Compiled 83 to 51 computations (38.6% saved)

regimes15.0ms (0.2%)

Memory

0.7MiB live, 39.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	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)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.8%	3	`x`
81.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-29.7MiB live, 7.1MiB 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

2 calls:

3.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch22.0ms (0.3%)

Memory

-2.0MiB live, 38.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6547521631283004.0	9.766869886170877e+21
9.0ms	-1.4501053150581276e-13	-3.0049991865601227e-19

Samples

9.0ms

288×

valid

Compiler

Compiled 226 to 190 computations (15.9% saved)

Precisions

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

ival-sub: 2.0ms (54.1% of total)

ival-mult: 2.0ms (54.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB 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 -7098843361278085/40564819207303340847894502572032 binary64)) (*.f64 #s(literal -500 binary64) y) (if (<=.f64 y #s(literal 38000000000000000 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 -7098843361278085/40564819207303340847894502572032 binary64)) (.f64 #s(literal -500 binary64) y) (if (<=.f64 y #s(literal 38000000000000000 binary64)) (.f64 #s(literal 500 binary64) x) (*.f64 #s(literal -500 binary64) y)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (.f64 y #s(literal -500 binary64)) (if (<=.f64 y #s(literal 38000000000000000 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))

soundness550.0ms (7.9%)

Memory

-46.7MiB live, 149.7MiB 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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess53.0ms (0.8%)

Memory: 16.0MiB live, 54.8MiB 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	12	45
1	24	41
2	45	41
3	77	41
4	132	41
5	204	41
6	283	41
7	331	41
8	346	41
9	368	41
10	496	41
11	722	41
12	762	41
0	762	41

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	12	45
1	24	41
2	45	41
3	77	41
4	132	41
5	204	41
6	283	41
7	331	41
8	346	41
9	368	41
10	496	41
11	722	41
12	762	41
0	762	41

analyze0.0ms (0%)

sample528.0ms (7.6%)

preprocess44.0ms (0.6%)

explain51.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.3%)

localize17.0ms (0.2%)

series3.0ms (0%)

rewrite312.0ms (4.5%)

simplify913.0ms (13.2%)

eval78.0ms (1.1%)

prune58.0ms (0.8%)

simplify33.0ms (0.5%)

localize37.0ms (0.5%)

series6.0ms (0.1%)

rewrite452.0ms (6.5%)

simplify415.0ms (6%)

eval108.0ms (1.6%)

prune77.0ms (1.1%)

simplify18.0ms (0.3%)

localize25.0ms (0.4%)

series2.0ms (0%)

rewrite481.0ms (7%)

simplify643.0ms (9.3%)

eval92.0ms (1.3%)

prune78.0ms (1.1%)

simplify17.0ms (0.2%)

localize101.0ms (1.5%)

series1.0ms (0%)

rewrite755.0ms (10.9%)

simplify641.0ms (9.3%)

eval151.0ms (2.2%)

prune106.0ms (1.5%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch22.0ms (0.3%)

simplify8.0ms (0.1%)

soundness550.0ms (7.9%)

preprocess53.0ms (0.8%)

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

Iter	Nodes	Cost
0	12	45
1	24	41
2	45	41
3	77	41
4	132	41
5	204	41
6	283	41
7	331	41
8	346	41
9	368	41
10	496	41
11	722	41
12	762	41
0	762	41