Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

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 6 computations (14.3% saved)

sample2.3s (43.9%)

Memory

45.0MiB live, 911.2MiB allocated

Samples

2.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 116.0ms (70.4% of total)

ival-sub: 41.0ms (24.9% of total)

ival-true: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess35.0ms (0.7%)

Memory

7.5MiB live, 45.3MiB allocated

Algorithm

2×	egg-herbie

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
82×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	36	34
2	98	31
3	265	30
4	485	30
5	581	30
6	598	30
0	4	5
1	7	5
2	12	5
3	22	5
4	36	5
5	58	5
6	124	5
7	222	5
8	270	5
9	275	5
0	275	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x y) x)

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

Call 2

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

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

Symmetry

(negabs x)

explain59.0ms (1.1%)

Memory

-18.1MiB live, 102.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 (*.f64 x y) x)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-mult: 4.0ms (58% of total)

ival-sub: 2.0ms (29% of total)

ival-true: 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify16.0ms (0.3%)

Memory

-12.3MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(-.f64 (*.f64 x y) x)

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	10
2	12	10
3	22	10
4	36	10
5	58	10
6	124	10
7	222	10
8	270	10
9	275	10
0	275	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize13.0ms (0.3%)

Memory

27.2MiB live, 27.2MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 2.0ms (61.3% of total)

ival-sub: 1.0ms (30.6% of total)

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

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

series3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite514.0ms (9.8%)

Memory

-59.3MiB live, 781.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 182×	`accelerator-lowering-fma.f32`
10 182×	`accelerator-lowering-fma.f64`
4 186×	`/-lowering-/.f32`
4 186×	`/-lowering-/.f64`
4 000×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	20	8
2	153	8
3	1573	8
0	8524	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 243

Calls

Call 1

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

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

simplify272.0ms (5.2%)

Memory

-6.6MiB live, 305.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`accelerator-lowering-fma.f32`
3 552×	`accelerator-lowering-fma.f64`
2 016×	`-lowering-.f32`
2 016×	`-lowering-.f64`
1 728×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	185
1	64	185
2	149	185
3	276	185
4	599	185
5	1844	185
6	3110	185
7	3571	185
8	3845	185
9	4015	185
10	4049	185
11	4619	185
12	5889	185
13	6711	185
14	7040	185
15	7124	185
16	7124	185
17	7616	185
0	8052	185

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval34.0ms (0.6%)

Memory: 32.3MiB live, 67.7MiB allocated
Compiler: Compiled 12 484 to 690 computations (94.5% saved)

prune34.0ms (0.6%)

Memory

-4.5MiB live, 77.4MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	289	3	292

Accuracy

100.0%

Counts

292 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(fma.f64 x y #s(literal 0 binary64))
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	49.5%	(-.f64 #s(literal 0 binary64) x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	14	10
3	17	10
4	21	10
5	30	10
6	30	10
0	30	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 0 x)
0
x
(+ (* x y) 0)
x
y
0

Outputs
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)

localize31.0ms (0.6%)

Memory

-13.6MiB live, 25.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)

Samples

24.0ms

256×

valid

Compiler

Compiled 14 to 8 computations (42.9% saved)

Precisions

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

ival-sub: 14.0ms (80.6% of total)

ival-mult: 2.0ms (11.5% of total)

ival-add: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (- 0 x)>
#<alt (+ (* x y) 0)>

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	x	@	0	(- 0 x)
0.0ms	x	@	-inf	(- 0 x)
0.0ms	x	@	inf	(- 0 x)
0.0ms	x	@	-inf	(+ (* x y) 0)
0.0ms	y	@	-inf	(+ (* x y) 0)

rewrite358.0ms (6.8%)

Memory

4.3MiB live, 204.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 498×	`accelerator-lowering-fma.f32`
2 498×	`accelerator-lowering-fma.f64`
2 194×	`-lowering-.f32`
2 194×	`-lowering-.f64`
1 294×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	33	5
2	331	5
3	4422	4
0	8793	4

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 373

Calls

Call 1

Inputs
(- 0 x)
(+ (* x y) 0)

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

simplify75.0ms (1.4%)

Memory

-28.2MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-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)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval44.0ms (0.8%)

Memory: 32.1MiB live, 69.1MiB allocated
Compiler: Compiled 7 355 to 527 computations (92.8% saved)

prune208.0ms (3.9%)

Memory

-16.9MiB live, 102.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	406	3	409
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	408	4	412

Accuracy

100.0%

Counts

412 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	52.8%	(*.f64 y x)
▶	49.5%	(neg.f64 x)
▶	3.1%	x

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	-64	(neg.f64 x)

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	9	9
2	11	9
3	13	9
4	15	9
5	19	9
6	28	9
7	30	9
0	30	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(neg x)
x
(* y x)
y
x

Outputs
x
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(* y x)
(fma.f64 x y #s(literal 0 binary64))
y
x

localize90.0ms (1.7%)

Memory

-12.9MiB live, 25.3MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

85.0ms

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 (60.6% of total)

ival-neg: 1.0ms (30.3% of total)

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

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (neg x)>
#<alt (* 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	x	@	0	(* y x)
0.0ms	x	@	-inf	(neg x)
0.0ms	y	@	inf	(* y x)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(neg x)

rewrite82.0ms (1.6%)

Memory

33.0MiB live, 71.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

518×	`/-lowering-/.f32`
518×	`/-lowering-/.f64`
450×	`-lowering-.f32`
450×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	9	5
2	24	5
3	151	5
0	1658	5

Stop Event

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

Counts

2 → 88

Calls

Call 1

Inputs
(neg x)
(* y x)

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

simplify37.0ms (0.7%)

Memory

-30.4MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-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)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval12.0ms (0.2%)

Memory: 14.6MiB live, 14.6MiB allocated
Compiler: Compiled 1 517 to 143 computations (90.6% saved)

prune13.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	124	4	128

Accuracy

100.0%

Counts

128 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	52.8%	(*.f64 y x)
✓	49.5%	(neg.f64 x)
✓	3.1%	x

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes53.0ms (1%)

Memory

-32.0MiB live, 10.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	(-.f64 (*.f64 x y) x)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
63.3%	4	`x`
98.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

Outputs
(neg.f64 x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
3.1%	1	`x`
3.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch65.0ms (1.2%)

Memory

-10.2MiB live, 27.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0005675533605003381	12576.9461319791
54.0ms	-29.01817712318113	-8.28897384649706e-12

Samples

54.0ms

304×

valid

Compiler

Compiled 219 to 161 computations (26.5% saved)

Precisions

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

ival-mult: 2.0ms (50.4% of total)

ival-sub: 1.0ms (25.2% of total)

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

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

simplify8.0ms (0.2%)

Memory

12.1MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	23	22
2	26	22
3	27	22

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x y) x)
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 x y)))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
x

soundness835.0ms (15.9%)

Memory

-18.3MiB live, 298.4MiB allocated

Rules

3 552×	`accelerator-lowering-fma.f32`
3 552×	`accelerator-lowering-fma.f64`
2 498×	`accelerator-lowering-fma.f32`
2 498×	`accelerator-lowering-fma.f64`
2 194×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	33	5
2	331	5
3	4422	4
0	8793	4
0	20	185
1	64	185
2	149	185
3	276	185
4	599	185
5	1844	185
6	3110	185
7	3571	185
8	3845	185
9	4015	185
10	4049	185
11	4619	185
12	5889	185
13	6711	185
14	7040	185
15	7124	185
16	7124	185
17	7616	185
0	8052	185

Stop Event

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

Compiler

Compiled 65 to 39 computations (40% saved)

preprocess40.0ms (0.8%)

Memory: 12.8MiB live, 88.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 112 to 56 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	35
1	36	34
2	98	31
3	265	30
4	485	30
5	581	30
6	598	30
0	4	5
1	7	5
2	12	5
3	22	5
4	36	5
5	58	5
6	124	5
7	222	5
8	270	5
9	275	5
0	275	5

Iter	Nodes	Cost
0	14	35
1	36	34
2	98	31
3	265	30
4	485	30
5	581	30
6	598	30
0	4	5
1	7	5
2	12	5
3	22	5
4	36	5
5	58	5
6	124	5
7	222	5
8	270	5
9	275	5
0	275	5

analyze0.0ms (0%)

sample2.3s (43.9%)

preprocess35.0ms (0.7%)

explain59.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.3%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite514.0ms (9.8%)

simplify272.0ms (5.2%)

eval34.0ms (0.6%)

prune34.0ms (0.6%)

simplify5.0ms (0.1%)

localize31.0ms (0.6%)

series0.0ms (0%)

rewrite358.0ms (6.8%)

simplify75.0ms (1.4%)

eval44.0ms (0.8%)

prune208.0ms (3.9%)

simplify4.0ms (0.1%)

localize90.0ms (1.7%)

series1.0ms (0%)

rewrite82.0ms (1.6%)

simplify37.0ms (0.7%)

eval12.0ms (0.2%)

prune13.0ms (0.2%)

regimes53.0ms (1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch65.0ms (1.2%)

simplify8.0ms (0.2%)

soundness835.0ms (15.9%)

preprocess40.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	35
1	36	34
2	98	31
3	265	30
4	485	30
5	581	30
6	598	30
0	4	5
1	7	5
2	12	5
3	22	5
4	36	5
5	58	5
6	124	5
7	222	5
8	270	5
9	275	5
0	275	5