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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample775.0ms (15.5%)

Memory

4.1MiB live, 955.3MiB allocated

Samples

478.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-sub: 109.0ms (48.6% of total)

ival-mult: 103.0ms (45.9% of total)

ival-true: 5.0ms (2.2% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess61.0ms (1.2%)

Memory

-16.2MiB live, 66.9MiB 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)

explain54.0ms (1.1%)

Memory

1.8MiB live, 119.2MiB 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

19.0ms

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 (43% of total)

ival-mult: 3.0ms (43% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify18.0ms (0.4%)

Memory

-0.1MiB live, 40.5MiB 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

localize15.0ms (0.3%)

Memory

2.8MiB live, 42.4MiB 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

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30% of total)

ival-mult: 1.0ms (30% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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
0.0ms	x	@	0	(* x (- 1 y))
0.0ms	y	@	-inf	(* x (- 1 y))
0.0ms	x	@	-inf	(* x (- 1 y))
0.0ms	y	@	inf	(* x (- 1 y))
0.0ms	x	@	inf	(* x (- 1 y))

rewrite255.0ms (5.1%)

Memory

-6.6MiB live, 483.9MiB 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)))

simplify367.0ms (7.3%)

Memory

12.5MiB live, 490.7MiB 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)

eval105.0ms (2.1%)

Memory: -8.5MiB live, 108.6MiB allocated
Compiler: Compiled 10 512 to 1 069 computations (89.8% saved)

prune337.0ms (6.7%)

Memory

-10.9MiB live, 105.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	0	0	0
Picked	1	0	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
▶	100.0%	(fma.f64 (neg.f64 x) y x)
▶	49.2%	(*.f64 y (neg.f64 x))
▶	51.4%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify15.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	12	20
1	23	20
2	49	20
3	90	20
4	115	20
5	161	20
6	207	20
7	267	20
8	299	20
9	305	20
0	305	20

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
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
x
y

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

localize110.0ms (2.2%)

Memory

2.6MiB live, 45.8MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

101.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

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

ival-mult: 6.0ms (71% of total)

ival-add: 1.0ms (11.8% of total)

ival-neg: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series99.0ms (2%)

Memory

-28.5MiB live, 10.1MiB allocated

Counts

4 → 72

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
96.0ms	x	@	0	(* y (neg x))
1.0ms	x	@	inf	(* y (neg x))
0.0ms	y	@	inf	(* y (neg x))
0.0ms	y	@	0	(* y (neg x))
0.0ms	x	@	-inf	(* x 1)

rewrite630.0ms (12.6%)

Memory

13.0MiB live, 369.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 124×	`lower-fma.f32`
4 122×	`lower-fma.f64`
3 048×	`lower-*.f32`
3 044×	`lower-*.f64`
2 428×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	12	11
1	36	11
2	227	11
3	2108	9
0	9840	9

Stop Event

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

Counts

4 → 333

Calls

Call 1

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

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

simplify409.0ms (8.2%)

Memory

14.1MiB live, 192.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`lower-fma.f64`
3 752×	`lower-fma.f32`
2 176×	`lower-*.f64`
2 176×	`lower-*.f32`
1 332×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	267
1	67	246
2	136	246
3	278	246
4	702	246
5	1690	246
6	2515	246
7	3271	246
8	3738	246
9	3992	246
10	4004	246
11	4004	246
12	4567	246
13	5193	246
14	5544	246
15	5694	246
16	5818	246
17	6336	246
18	7342	246
19	7540	246
20	7738	246
21	7756	246
0	8293	246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 59

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

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

eval62.0ms (1.2%)

Memory: 6.4MiB live, 88.0MiB allocated
Compiler: Compiled 8 197 to 741 computations (91% saved)

prune96.0ms (1.9%)

Memory

20.8MiB live, 97.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	435	2	437
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	436	4	440

Accuracy

100.0%

Counts

440 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 x) y x)
✓	49.2%	(*.f64 y (neg.f64 x))
▶	3.1%	(neg.f64 x)
▶	51.4%	x

Compiler

Compiled 20 to 13 computations (35% saved)

simplify5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	4
0	3	4
1	7	4
2	9	4
3	11	4
4	13	4
5	17	4
6	22	4
0	22	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
x
(neg.f64 x)
x

Outputs
x
(neg.f64 x)
x

localize43.0ms (0.8%)

Memory

-29.4MiB live, 17.1MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

39.0ms

256×

valid

Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-neg: 33.0ms (98.3% 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.f64 x)>

Outputs
#<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

3 calls:

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

rewrite99.0ms (2%)

Memory

18.5MiB live, 134.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
0	3	2
1	7	2
2	22	2
3	149	2
0	1638	2

Stop Event

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

Counts

1 → 72

Calls

Call 1

Inputs
(neg.f64 x)

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

simplify20.0ms (0.4%)

Memory

-57.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(* -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)

eval7.0ms (0.1%)

Memory: 15.0MiB live, 15.0MiB allocated
Compiler: Compiled 969 to 120 computations (87.6% saved)

prune17.0ms (0.3%)

Memory

-15.2MiB live, 23.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	84	4	88

Accuracy

100.0%

Counts

88 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 x) y x)
✓	49.2%	(*.f64 y (neg.f64 x))
✓	3.1%	(neg.f64 x)
✓	51.4%	x

Compiler

Compiled 42 to 22 computations (47.6% saved)

regimes11.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(*.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)

regimes32.0ms (0.6%)

Memory

-14.5MiB live, 24.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(neg.f64 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:

24.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	y
2.0ms	x
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)

regimes9.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
61.1%	4	`x`
96.1%	3	`y`
80.4%	3	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
96.1%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.3%)

Memory

-17.6MiB live, 21.2MiB allocated

Accuracy

Total -31.7b remaining (-101.8%)

Threshold costs -31.7b (-101.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

11.0ms	y
2.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
51.4%	1	`(-.f64 #s(literal 1 binary64) y)`
51.4%	1	`y`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch20.0ms (0.4%)

Memory

7.7MiB live, 48.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.865369910793474e-5	3.609641655067166
10.0ms	-5.20885872952037	-0.025101405198698478

Samples

8.0ms

240×

valid

Compiler

Compiled 175 to 130 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33.5% of total)

ival-mult: 1.0ms (33.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Memory

-20.5MiB live, 18.9MiB 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	28
1	24	28
2	34	28
3	40	28
4	42	28

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (24.7%)

Memory

10.7MiB live, 403.4MiB allocated

Rules

8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
4 132×	`lower-fma.f64`
4 132×	`lower-fma.f32`
4 124×	`lower-fma.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	7	14
0	12	11
1	36	11
2	227	11
3	2108	9
0	9840	9
0	5	8
0	7	8
1	25	8
2	145	8
3	1149	8
0	9894	7

Stop Event

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

Compiler

Compiled 59 to 34 computations (42.4% saved)

preprocess70.0ms (1.4%)

Memory: 5.7MiB live, 164.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 102 to 54 computations (47.1% 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	7	22
0	12	20
1	23	20
2	49	20
3	90	20
4	115	20
5	161	20
6	207	20
7	267	20
8	299	20
9	305	20
0	305	20

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	7	22
0	12	20
1	23	20
2	49	20
3	90	20
4	115	20
5	161	20
6	207	20
7	267	20
8	299	20
9	305	20
0	305	20

analyze0.0ms (0%)

sample775.0ms (15.5%)

preprocess61.0ms (1.2%)

explain54.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.4%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite255.0ms (5.1%)

simplify367.0ms (7.3%)

eval105.0ms (2.1%)

prune337.0ms (6.7%)

simplify15.0ms (0.3%)

localize110.0ms (2.2%)

series99.0ms (2%)

rewrite630.0ms (12.6%)

simplify409.0ms (8.2%)

eval62.0ms (1.2%)

prune96.0ms (1.9%)

simplify5.0ms (0.1%)

localize43.0ms (0.8%)

series0.0ms (0%)

rewrite99.0ms (2%)

simplify20.0ms (0.4%)

eval7.0ms (0.1%)

prune17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes32.0ms (0.6%)

regimes9.0ms (0.2%)

regimes17.0ms (0.3%)

bsearch20.0ms (0.4%)

simplify8.0ms (0.2%)

soundness1.2s (24.7%)

preprocess70.0ms (1.4%)

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	7	22
0	12	20
1	23	20
2	49	20
3	90	20
4	115	20
5	161	20
6	207	20
7	267	20
8	299	20
9	305	20
0	305	20