Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample900.0ms (14.1%)

Memory

26.7MiB live, 932.3MiB allocated

Samples

417.0ms	6 331×	0	valid
213.0ms	1 922×	1	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-sub: 181.0ms (46.8% of total)

ival-mult: 88.0ms (22.7% of total)

ival-add: 74.0ms (19.1% of total)

adjust: 30.0ms (7.8% of total)

exact: 6.0ms (1.6% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess1.3s (20.4%)

Memory

-200.8MiB live, 793.1MiB allocated

Algorithm

2×	egg-herbie

Rules

30 512×	`accelerator-lowering-fma.f32`
30 512×	`accelerator-lowering-fma.f64`
3 744×	`-lowering-.f32`
3 744×	`-lowering-.f64`
2 596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	48	55
2	147	54
3	632	54
4	2211	42
5	3860	42
6	4928	42
7	5456	42
8	5713	42
9	5865	42
10	5954	42
11	6074	42
12	6415	42
13	7128	42
14	7479	42
15	7744	42
16	7903	42
17	7952	42
18	7960	42
0	7	9
1	15	9
2	34	9
3	102	9
4	358	7
5	1286	7
6	3156	7
7	4817	7
8	5526	7
9	5785	7
10	5981	7
11	6073	7
12	6231	7
13	6610	7
14	6823	7
15	6975	7
16	7051	7
17	7094	7
18	7226	7
19	7732	7
0	8185	6

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs
(+ x (* (- 1 x) (- 1 y)))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(+ x (* (- 1 x) (- 1 (neg y))))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ y (* (- 1 y) (- 1 x)))

Outputs
(+ x (* (- 1 x) (- 1 y)))
(+ 1 (- (* x y) y))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(- 1 (+ y (* x y)))
(+ x (* (- 1 x) (- 1 (neg y))))
(+ 1 (- y (* x y)))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(+ y (+ -1 (* x y)))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ -1 (- (* x y) y))
(+ y (* (- 1 y) (- 1 x)))
(+ 1 (- (* x y) x))

explain82.0ms (1.3%)

Memory

22.8MiB live, 220.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
60	2	(-16149184182162.021 -1.5431193353729206e-52)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`	cancellation	62	0

Confusion

	Predicted +	Predicted -
+	60	0
-	2	194

Precision

0.967741935483871

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	2	0	194

Precision?

0.967741935483871

Recall?

1.0

Freqs

test

number	freq
0	194
1	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	392×	0	valid
13.0ms	116×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 6.0ms (34.6% of total)

ival-add: 5.0ms (28.8% of total)

ival-mult: 4.0ms (23% of total)

adjust: 1.0ms (5.8% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify721.0ms (11.3%)

Memory

-30.0MiB live, 927.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	320	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Rules

30 512×	`accelerator-lowering-fma.f32`
30 512×	`accelerator-lowering-fma.f64`
3 744×	`-lowering-.f32`
3 744×	`-lowering-.f64`
2 596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	15	25
2	34	25
3	102	25
4	358	23
5	1286	23
6	3156	23
7	4817	23
8	5526	23
9	5785	23
10	5981	23
11	6073	23
12	6231	23
13	6610	23
14	6823	23
15	6975	23
16	7051	23
17	7094	23
18	7226	23
19	7732	23
0	8185	22

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

25.1MiB live, 63.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	78.1%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

11.0ms	196×	0	valid
5.0ms	58×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (38.5% of total)

ival-mult: 2.0ms (25.7% of total)

adjust: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

exact: 0.0ms (0% of total)

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

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

series3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite303.0ms (4.7%)

Memory

-16.9MiB live, 692.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`accelerator-lowering-fma.f32`
5 364×	`accelerator-lowering-fma.f64`
3 608×	`-lowering-.f32`
3 608×	`-lowering-.f64`
2 212×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	48	22
2	427	22
3	5491	22
0	8684	21

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 523

Calls

Call 1

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

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

simplify395.0ms (6.2%)

Memory

24.6MiB live, 869.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 464×	`accelerator-lowering-fma.f32`
20 464×	`accelerator-lowering-fma.f64`
3 336×	`+-lowering-+.f64`
3 336×	`+-lowering-+.f32`
2 646×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	490	362
3	1713	362
4	7522	362
0	8222	344

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval160.0ms (2.5%)

Memory: -4.2MiB live, 187.9MiB allocated
Compiler: Compiled 14 124 to 1 520 computations (89.2% saved)

prune72.0ms (1.1%)

Memory

-15.4MiB live, 199.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	590	5	595
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	591	5	596

Accuracy

100.0%

Counts

596 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
▶	62.1%	(-.f64 (*.f64 y x) y)
▶	63.2%	(-.f64 #s(literal 1 binary64) y)
▶	37.2%	(*.f64 y x)
▶	39.4%	#s(literal 1 binary64)

Compiler

Compiled 56 to 38 computations (32.1% saved)

simplify22.0ms (0.3%)

Memory

4.7MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y x)
✓	cost-diff	(-.f64 (*.f64 y x) y)
✓	cost-diff	(*.f64 y x)
✓	cost-diff	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	(fma.f64 y x #s(literal 1 binary64))
✓	cost-diff	(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	17	36
2	25	36
3	44	36
4	76	36
5	130	36
6	255	36
7	381	36
8	468	36
9	483	36
10	487	36
0	487	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.5%)

Memory

-8.3MiB live, 69.1MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

17.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-sub: 3.0ms (45% of total)

ival-mult: 2.0ms (30% of total)

ival-add: 1.0ms (15% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite404.0ms (6.3%)

Memory

17.0MiB live, 612.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 746×	`accelerator-lowering-fma.f32`
7 746×	`accelerator-lowering-fma.f64`
4 180×	`-lowering-.f32`
4 180×	`-lowering-.f64`
3 452×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	58	23
2	501	23
3	7185	23
0	8330	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 413

Calls

Call 1

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

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

simplify318.0ms (5%)

Memory

-18.1MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 926×	`accelerator-lowering-fma.f32`
5 926×	`accelerator-lowering-fma.f64`
2 396×	`-lowering-.f32`
2 396×	`-lowering-.f64`
1 176×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	467
1	167	467
2	427	467
3	1009	467
4	2713	467
5	5283	467
6	6779	467
7	7483	467
8	7607	467
9	7681	467
10	7695	467
0	8134	431

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval73.0ms (1.2%)

Memory: 23.9MiB live, 109.2MiB allocated
Compiler: Compiled 13 474 to 1 043 computations (92.3% saved)

prune101.0ms (1.6%)

Memory

-29.8MiB live, 99.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	548	1	549
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	548	6	554

Accuracy

100.0%

Counts

554 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
✓	62.1%	(-.f64 (*.f64 y x) y)
✓	63.2%	(-.f64 #s(literal 1 binary64) y)
✓	37.2%	(*.f64 y x)
▶	25.8%	(neg.f64 y)
✓	39.4%	#s(literal 1 binary64)

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`
6×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
1	6	3
2	8	3
3	10	3
4	12	3
5	16	3
6	21	3
0	21	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg y)
y

Outputs
(neg y)
(neg.f64 y)
y

localize9.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y)

Samples

6.0ms

256×

valid

Compiler

Compiled 5 to 5 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-neg: 1.0ms (70.8% of total)

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

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

series0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (neg y)>

Outputs
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(neg y)
0.0ms	y	@	inf	(neg y)
0.0ms	y	@	-inf	(neg y)

rewrite114.0ms (1.8%)

Memory

12.9MiB live, 90.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

510×	`/-lowering-/.f32`
510×	`/-lowering-/.f64`
434×	`-lowering-.f32`
434×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	6	2
2	21	2
3	148	2
0	1639	2

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

1 → 72

Calls

Call 1

Inputs
(neg y)

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

simplify30.0ms (0.5%)

Memory

-28.0MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`
6×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	24
1	5	24
2	7	24
3	8	24
4	10	24
5	12	24
6	16	24
7	21	24
0	21	24

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)

Outputs
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval7.0ms (0.1%)

Memory: 14.3MiB live, 14.3MiB allocated
Compiler: Compiled 969 to 120 computations (87.6% saved)

prune43.0ms (0.7%)

Memory

-13.6MiB live, 27.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	84	6	90

Accuracy

100.0%

Counts

90 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
✓	62.1%	(-.f64 (*.f64 y x) y)
✓	63.2%	(-.f64 #s(literal 1 binary64) y)
✓	37.2%	(*.f64 y x)
✓	25.8%	(neg.f64 y)
✓	39.4%	#s(literal 1 binary64)

Compiler

Compiled 63 to 34 computations (46% saved)

regimes12.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(-.f64 (*.f64 y x) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Outputs
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes39.0ms (0.6%)

Memory

-12.5MiB live, 25.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	y
2.0ms	x
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
89.0%	3	`x`
88.6%	3	`y`
89.8%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
86.9%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
88.8%	3	`x`
78.6%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes37.0ms (0.6%)

Memory

-18.2MiB live, 20.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)

Outputs
(-.f64 #s(literal 1 binary64) y)

Calls

4 calls:

31.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
63.2%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
63.2%	1	`(-.f64 #s(literal 1 binary64) y)`
63.2%	1	`y`
63.2%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)

Outputs
(neg.f64 y)
#s(literal 1 binary64)
(neg.f64 y)

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) y)
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
62.1%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
62.1%	3	`y`
62.1%	3	`(-.f64 #s(literal 1 binary64) y)`
43.3%	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes31.0ms (0.5%)

Memory

-20.7MiB live, 15.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

27.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
1.0ms	x
1.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
39.4%	1	`x`
39.4%	1	`y`
39.4%	1	`(-.f64 #s(literal 1 binary64) y)`
39.4%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	298991226.28823584	12493022854936920.0
0.0ms	0.0	0.9999998269495604

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch43.0ms (0.7%)

Memory

6.5MiB live, 51.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.184739626403614e+84	1.2457784725141927e+88
9.0ms	-1.6725258865997279e+187	-3.063450050949767e+186

Samples

24.0ms	109×	0	valid
9.0ms	115×	1	valid

Compiler

Compiled 182 to 138 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 21.0ms (74.6% of total)

ival-sub: 3.0ms (10.7% of total)

ival-mult: 2.0ms (7.1% of total)

adjust: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	3.064181403474551
0.0ms	-9216.0	0.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify25.0ms (0.4%)

Memory

-19.9MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	86
1	52	86
2	60	86
3	63	86
4	64	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64)) (-.f64 (.f64 y x) y) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 500000000 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 (.f64 y x) y)))
(if (<=.f64 x #s(literal -3100000000000000117963033314570501938026721188224115885421878148757230771893141852902091277765372453877750593841672515559020881728747333999696636054142291444622201519089539495516566454272 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 6799999999999999616366483293249671490163381958087872731516925300827556415531112202240 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(-.f64 #s(literal 1 binary64) y)
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -5000 binary64)) (neg.f64 y) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 y)))
#s(literal 1 binary64)

Outputs
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64)) (-.f64 (.f64 y x) y) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 500000000 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 (.f64 y x) y)))
(if (<=.f64 x #s(literal -3100000000000000117963033314570501938026721188224115885421878148757230771893141852902091277765372453877750593841672515559020881728747333999696636054142291444622201519089539495516566454272 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 6799999999999999616366483293249671490163381958087872731516925300827556415531112202240 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(-.f64 #s(literal 1 binary64) y)
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -5000 binary64)) (neg.f64 y) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 y)))
#s(literal 1 binary64)

soundness997.0ms (15.6%)

Memory

-5.5MiB live, 407.1MiB allocated

Rules

20 464×	`accelerator-lowering-fma.f32`
20 464×	`accelerator-lowering-fma.f64`
5 926×	`accelerator-lowering-fma.f32`
5 926×	`accelerator-lowering-fma.f64`
3 336×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	186	484
2	490	362
3	1713	362
4	7522	362
0	8222	344
0	54	467
1	167	467
2	427	467
3	1009	467
4	2713	467
5	5283	467
6	6779	467
7	7483	467
8	7607	467
9	7681	467
10	7695	467
0	8134	431

Stop Event

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

Compiler

Compiled 145 to 67 computations (53.8% saved)

preprocess58.0ms (0.9%)

Memory: 20.3MiB live, 134.9MiB allocated
Compiler: Compiled 230 to 86 computations (62.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	36
1	17	36
2	25	36
3	44	36
4	76	36
5	130	36
6	255	36
7	381	36
8	468	36
9	483	36
10	487	36
0	487	34

Iter	Nodes	Cost
0	8	36
1	17	36
2	25	36
3	44	36
4	76	36
5	130	36
6	255	36
7	381	36
8	468	36
9	483	36
10	487	36
0	487	34

analyze0.0ms (0%)

sample900.0ms (14.1%)

preprocess1.3s (20.4%)

explain82.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify721.0ms (11.3%)

localize25.0ms (0.4%)

series3.0ms (0.1%)

rewrite303.0ms (4.7%)

simplify395.0ms (6.2%)

eval160.0ms (2.5%)

prune72.0ms (1.1%)

simplify22.0ms (0.3%)

localize30.0ms (0.5%)

series4.0ms (0.1%)

rewrite404.0ms (6.3%)

simplify318.0ms (5%)

eval73.0ms (1.2%)

prune101.0ms (1.6%)

simplify4.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite114.0ms (1.8%)

simplify30.0ms (0.5%)

eval7.0ms (0.1%)

prune43.0ms (0.7%)

regimes12.0ms (0.2%)

regimes39.0ms (0.6%)

regimes5.0ms (0.1%)

regimes37.0ms (0.6%)

regimes7.0ms (0.1%)

regimes31.0ms (0.5%)

bsearch0.0ms (0%)

bsearch43.0ms (0.7%)

bsearch0.0ms (0%)

simplify25.0ms (0.4%)

soundness997.0ms (15.6%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	36
1	17	36
2	25	36
3	44	36
4	76	36
5	130	36
6	255	36
7	381	36
8	468	36
9	483	36
10	487	36
0	487	34