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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample625.0ms (11.2%)

Memory

-5.0MiB live, 715.0MiB allocated

Samples

374.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 121.0ms (60.7% of total)

ival-sub: 66.0ms (33.1% of total)

ival-true: 6.0ms (3% of total)

exact: 4.0ms (2% of total)

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

Bogosity

preprocess130.0ms (2.3%)

Memory

9.8MiB live, 45.8MiB 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)

explain228.0ms (4.1%)

Memory

-5.9MiB live, 113.2MiB 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

119.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sub: 29.0ms (88.8% of total)

ival-mult: 3.0ms (9.2% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify24.0ms (0.4%)

Memory

-12.7MiB live, 26.6MiB 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

localize92.0ms (1.7%)

Memory

-9.9MiB live, 29.0MiB 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

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 2.0ms (59.2% of total)

ival-sub: 1.0ms (29.6% 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

7.2MiB live, 7.2MiB 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	@	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))

rewrite576.0ms (10.4%)

Memory

41.4MiB live, 343.2MiB 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)))

simplify618.0ms (11.1%)

Memory

-192.3MiB live, 458.0MiB 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)

eval46.0ms (0.8%)

Memory: 0.2MiB live, 116.4MiB allocated
Compiler: Compiled 10 512 to 1 069 computations (89.8% saved)

prune146.0ms (2.6%)

Memory

12.9MiB live, 144.2MiB 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)
▶	52.1%	(*.f64 y (neg.f64 x))
▶	49.2%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify16.0ms (0.3%)

Memory

-14.0MiB live, 25.5MiB 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

localize26.0ms (0.5%)

Memory

25.4MiB live, 64.4MiB 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

17.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (62.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-28.3MiB live, 10.0MiB 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
2.0ms	y	@	0	(* y (neg x))
1.0ms	x	@	0	(* y (neg x))
1.0ms	y	@	inf	(* y (neg x))
0.0ms	x	@	inf	(* y (neg x))
0.0ms	x	@	-inf	(* x 1)

rewrite377.0ms (6.8%)

Memory

10.3MiB live, 437.9MiB 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))))

simplify627.0ms (11.3%)

Memory

-13.3MiB live, 196.6MiB 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))

eval182.0ms (3.3%)

Memory: 32.7MiB live, 110.5MiB allocated
Compiler: Compiled 8 197 to 741 computations (91% saved)

prune214.0ms (3.8%)

Memory

5.0MiB live, 126.4MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	435	5	440

Accuracy

100.0%

Counts

440 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 x) y x)
✓	52.1%	(*.f64 y (neg.f64 x))
▶	2.7%	(*.f64 y x)
▶	2.9%	(neg.f64 x)
▶	49.2%	x

Compiler

Compiled 25 to 16 computations (36% saved)

simplify110.0ms (2%)

Memory

-28.8MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	11	9
2	13	9
3	15	9
4	17	9
5	21	9
6	30	9
7	32	9
0	32	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.3%)

Memory

26.2MiB live, 26.2MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-mult: 2.0ms (65.6% of total)

ival-neg: 1.0ms (32.8% of total)

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

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (neg.f64 x)>
#<alt (*.f64 y 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)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

9 calls:

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

rewrite111.0ms (2%)

Memory

-21.8MiB live, 98.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

518×	`lower-/.f64`
518×	`lower-/.f32`
450×	`lower-*.f32`
448×	`lower-*.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	6	5
1	11	5
2	26	5
3	153	5
0	1662	5

Stop Event

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

Counts

2 → 88

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y 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 x)) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.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))
(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 x)) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.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 x y) (.f64 y #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 #s(literal 0 binary64) y))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 x y))
(fma.f64 x y (*.f64 y #s(literal 0 binary64)))
(fma.f64 x y (*.f64 #s(literal 0 binary64) y))
(fma.f64 y x (*.f64 y #s(literal 0 binary64)))
(fma.f64 y x (*.f64 #s(literal 0 binary64) y))
(fma.f64 y #s(literal 0 binary64) (*.f64 x y))
(fma.f64 #s(literal 0 binary64) y (*.f64 x y))
(/.f64 (.f64 y (.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 y (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (.f64 x (neg.f64 x)) y) (neg.f64 x))
(/.f64 (.f64 (.f64 x (.f64 x x)) y) (.f64 x x))
(*.f64 x y)
(*.f64 y x)

simplify6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`lower-*.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	8	96
2	10	96
3	11	96
4	13	96
5	15	96
6	19	96
7	28	96
8	30	96
0	30	96

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval23.0ms (0.4%)

Memory: -14.0MiB live, 24.6MiB allocated
Compiler: Compiled 1 151 to 142 computations (87.7% saved)

prune36.0ms (0.6%)

Memory

-0.1MiB live, 39.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	124	5	129

Accuracy

100.0%

Counts

129 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 x) y x)
✓	52.1%	(*.f64 y (neg.f64 x))
✓	2.7%	(*.f64 y x)
✓	2.9%	(neg.f64 x)
✓	49.2%	x

Compiler

Compiled 50 to 26 computations (48% saved)

regimes12.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

regimes44.0ms (0.8%)

Memory

-9.4MiB live, 29.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

35.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
3.0ms	x
3.0ms	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)

regimes22.0ms (0.4%)

Memory

-13.2MiB live, 34.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
59.6%	4	`x`
97.1%	3	`y`
83.3%	5	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
97.1%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Accuracy

Total -30.5b remaining (-93.7%)

Threshold costs -30.5b (-93.7%)

Counts

4 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
49.2%	1	`y`
49.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000356674	4.492355571595121
0.0ms	-75.12086870735774	0.6174871378823884

Compiler

Compiled 10 to 10 computations (0% saved)

simplify16.0ms (0.3%)

Memory

-27.2MiB live, 12.3MiB 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	14	32
1	26	32
2	36	32
3	42	32
4	44	32

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 (-.f64 #s(literal 1 binary64) y) #s(literal -50 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 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 (-.f64 #s(literal 1 binary64) y) #s(literal -50 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 -50 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x (.f64 x (neg.f64 y))))
x

soundness1.2s (21.2%)

Memory

7.0MiB live, 398.1MiB 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	5	8
0	7	8
1	25	8
2	145	8
3	1149	8
0	9894	7
0	7	14
0	12	11
1	36	11
2	227	11
3	2108	9
0	9840	9

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 63 to 35 computations (44.4% saved)

preprocess43.0ms (0.8%)

Memory: 23.4MiB live, 103.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 110 to 56 computations (49.1% 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%)

sample625.0ms (11.2%)

preprocess130.0ms (2.3%)

explain228.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.4%)

localize92.0ms (1.7%)

series3.0ms (0.1%)

rewrite576.0ms (10.4%)

simplify618.0ms (11.1%)

eval46.0ms (0.8%)

prune146.0ms (2.6%)

simplify16.0ms (0.3%)

localize26.0ms (0.5%)

series6.0ms (0.1%)

rewrite377.0ms (6.8%)

simplify627.0ms (11.3%)

eval182.0ms (3.3%)

prune214.0ms (3.8%)

simplify110.0ms (2%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite111.0ms (2%)

simplify6.0ms (0.1%)

eval23.0ms (0.4%)

prune36.0ms (0.6%)

regimes12.0ms (0.2%)

regimes44.0ms (0.8%)

regimes22.0ms (0.4%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

simplify16.0ms (0.3%)

soundness1.2s (21.2%)

preprocess43.0ms (0.8%)

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