Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

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 7 to 7 computations (0% saved)

sample1.0s (31.3%)

Memory

10.2MiB live, 879.9MiB allocated

Samples

690.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-mult: 146.0ms (57% of total)

ival-sub: 97.0ms (37.9% of total)

ival-true: 5.0ms (2% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess39.0ms (1.2%)

Memory

3.9MiB live, 85.8MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
112×	`lower-*.f32`
110×	`lower-*.f64`
102×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain51.0ms (1.6%)

Memory

-13.7MiB live, 151.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 #s(literal 1 binary64) y)`
-	-	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`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: 7.0ms

ival-sub: 3.0ms (40.2% of total)

ival-mult: 3.0ms (40.2% 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

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify16.0ms (0.5%)

Memory

7.1MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
112×	`lower-*.f32`
110×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.5%)

Memory

-37.0MiB live, 42.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) 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-mult: 3.0ms (60.1% of total)

ival-sub: 2.0ms (40.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

10.9MiB live, 10.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>

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

9 calls:

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

rewrite258.0ms (7.9%)

Memory

10.0MiB live, 569.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 132×	`lower-fma.f64`
4 132×	`lower-fma.f32`
3 294×	`lower-/.f64`
3 294×	`lower-/.f32`
2 854×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	25	8
2	145	8
3	1149	8
0	9894	7

Stop Event

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

Counts

2 → 353

Calls

Call 1

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

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

simplify377.0ms (11.5%)

Memory

12.8MiB live, 474.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
2 370×	`lower-*.f64`
2 370×	`lower-*.f32`
2 096×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	69	146
2	160	146
3	294	146
4	860	146
5	2433	146
6	3646	146
7	4180	146
8	4355	146
9	4392	146
10	4424	146
11	5092	146
12	5540	146
13	5641	146
14	5661	146
15	5671	146
16	5677	146
17	5677	146
18	5681	146
19	5685	146
20	6658	146
0	8363	146

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
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
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
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)

eval57.0ms (1.7%)

Memory: -10.9MiB live, 120.5MiB allocated
Compiler: Compiled 10 512 to 1 069 computations (89.8% saved)

prune48.0ms (1.5%)

Memory

20.0MiB live, 137.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	386	2	388
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	3	389

Accuracy

100.0%

Counts

389 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.5%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	55.5%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify11.0ms (0.3%)

Memory

-29.4MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

48×	`lower-fma.f64`
48×	`lower-fma.f32`
48×	`lower-*.f32`
44×	`lower-*.f64`
24×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	11
1	18	11
2	38	11
3	64	11
4	71	11
5	82	11
6	99	11
7	104	11
8	110	11
9	110	11
0	110	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.6%)

Memory

5.0MiB live, 43.7MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (77.5% of total)

ival-neg: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (*.f64 y (neg.f64 x))>
#<alt (neg.f64 x)>

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

Calls

12 calls:

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

rewrite97.0ms (3%)

Memory

21.2MiB live, 98.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

692×	`lower-*.f32`
688×	`lower-*.f64`
684×	`lower-/.f64`
684×	`lower-/.f32`
458×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
0	9	7
1	18	7
2	51	7
3	234	7
0	2338	7

Stop Event

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

Counts

3 → 317

Calls

Call 1

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

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

simplify15.0ms (0.4%)

Memory

-12.9MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-fma.f64`
24×	`lower-+.f64`
24×	`lower-fma.f32`
24×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	132
1	12	132
2	24	132
3	28	132
4	36	132
5	47	132
6	58	132
7	72	132
8	79	132
9	79	132
0	79	132

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 36

Calls

Call 1

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

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

eval38.0ms (1.2%)

Memory: -1.7MiB live, 113.8MiB allocated
Compiler: Compiled 4 210 to 523 computations (87.6% saved)

prune44.0ms (1.3%)

Memory

14.6MiB live, 132.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	353	3	356

Accuracy

100.0%

Counts

356 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.5%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	55.5%	x

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify5.0ms (0.2%)

Memory

-30.8MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize6.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite8.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify7.0ms (0.2%)

Memory

-44.4MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.5%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	55.5%	x

Compiler

Compiled 31 to 19 computations (38.7% saved)

regimes9.0ms (0.3%)

Memory

-11.1MiB live, 28.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
(*.f64 y (neg.f64 x))
x
(*.f64 y (neg.f64 x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.8%	5	`x`
98.2%	3	`y`
85.2%	3	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
98.2%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

-19.5MiB live, 19.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
55.5%	1	`y`
55.5%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000020699872754	38021859.57049342
0.0ms	-4796.70495765051	0.9853489336414057

Compiler

Compiled 10 to 10 computations (0% saved)

simplify6.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	25	27
2	35	27
3	41	27
4	43	27

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4000 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x (*.f64 y (neg.f64 x))))

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4000 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x (.f64 y (neg.f64 x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4000 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x (neg.f64 (.f64 x y))))
x

soundness1.1s (32.5%)

Memory

11.2MiB live, 248.2MiB allocated

Rules

8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
2 370×	`lower-*.f64`
2 370×	`lower-*.f32`
2 096×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	69	146
2	160	146
3	294	146
4	860	146
5	2433	146
6	3646	146
7	4180	146
8	4355	146
9	4392	146
10	4424	146
11	5092	146
12	5540	146
13	5641	146
14	5661	146
15	5671	146
16	5677	146
17	5677	146
18	5681	146
19	5685	146
20	6658	146
0	8363	146
0	6	9
0	9	7
1	18	7
2	51	7
3	234	7
0	2338	7

Stop Event

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

Compiler

Compiled 51 to 29 computations (43.1% saved)

preprocess33.0ms (1%)

Memory: 10.6MiB live, 87.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 100 to 56 computations (44% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	6	13
0	9	11
1	18	11
2	38	11
3	64	11
4	71	11
5	82	11
6	99	11
7	104	11
8	110	11
9	110	11
0	110	11

Iter	Nodes	Cost
0	6	132
1	12	132
2	24	132
3	28	132
4	36	132
5	47	132
6	58	132
7	72	132
8	79	132
9	79	132
0	79	132

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	6	13
0	9	11
1	18	11
2	38	11
3	64	11
4	71	11
5	82	11
6	99	11
7	104	11
8	110	11
9	110	11
0	110	11

Iter	Nodes	Cost
0	6	132
1	12	132
2	24	132
3	28	132
4	36	132
5	47	132
6	58	132
7	72	132
8	79	132
9	79	132
0	79	132

analyze0.0ms (0%)

sample1.0s (31.3%)

preprocess39.0ms (1.2%)

explain51.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.5%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite258.0ms (7.9%)

simplify377.0ms (11.5%)

eval57.0ms (1.7%)

prune48.0ms (1.5%)

simplify11.0ms (0.3%)

localize19.0ms (0.6%)

series4.0ms (0.1%)

rewrite97.0ms (3%)

simplify15.0ms (0.4%)

eval38.0ms (1.2%)

prune44.0ms (1.3%)

simplify5.0ms (0.2%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite8.0ms (0.2%)

simplify7.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes9.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness1.1s (32.5%)

preprocess33.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	6	13
0	9	11
1	18	11
2	38	11
3	64	11
4	71	11
5	82	11
6	99	11
7	104	11
8	110	11
9	110	11
0	110	11

Iter	Nodes	Cost
0	6	132
1	12	132
2	24	132
3	28	132
4	36	132
5	47	132
6	58	132
7	72	132
8	79	132
9	79	132
0	79	132