Metrics for Main:bigenough1 from B

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample453.0ms (12%)

Memory

-4.8MiB live, 664.4MiB allocated

Samples

295.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 71.0ms (58.5% of total)

ival-add: 43.0ms (35.4% of total)

ival-true: 5.0ms (4.1% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

preprocess20.0ms (0.5%)

Memory

-9.9MiB live, 26.7MiB allocated

Algorithm

2×	egg-herbie

Rules

62×	`sub-neg`
50×	`associate-r`
50×	`unsub-neg`
40×	`distribute-lft-neg-in`
30×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	28	15
2	84	15
3	260	15
4	397	15
5	414	15
0	3	5
1	7	5
2	11	5
3	17	5
4	17	5
5	25	5
6	25	5
0	25	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (* x x))

Outputs
(+ x (* x x))
(fma.f64 x x x)

Call 2

Inputs
(+ x (* x x))
(+ (neg x) (* (neg x) (neg x)))
(neg (+ (neg x) (* (neg x) (neg x))))

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

explain45.0ms (1.2%)

Memory

13.7MiB live, 90.5MiB allocated

FPErrors

Click to see full error table

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

17.0ms

512×

valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

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

ival-mult: 4.0ms (59.1% of total)

ival-add: 2.0ms (29.6% 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 1 to 1 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 x (*.f64 x x))

Compiler

Compiled 6 to 3 computations (50% saved)

simplify4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 x (*.f64 x x))

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
14×	`accelerator-lowering-fma.f32`
14×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
1	7	9
2	11	9
3	17	9
4	17	9
5	25	9
6	25	9
0	25	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (* x x))
x
(* x x)

Outputs
(+ x (* x x))
(fma.f64 x x x)
x
(* x x)
(*.f64 x x)

localize16.0ms (0.4%)

Memory

-16.6MiB live, 26.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-mult: 2.0ms (61.4% of total)

ival-add: 1.0ms (30.7% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (+ x (* x x))>
#<alt (* x x)>

Outputs
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

6 calls:

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

rewrite580.0ms (15.3%)

Memory

-14.7MiB live, 807.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 970×	`accelerator-lowering-fma.f32`
15 970×	`accelerator-lowering-fma.f64`
4 318×	`/-lowering-/.f32`
4 318×	`/-lowering-/.f64`
3 558×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
1	21	8
2	154	8
3	1407	8
0	8280	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 226

Calls

Call 1

Inputs
(+ x (* x x))
(* x x)

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

simplify362.0ms (9.6%)

Memory

6.8MiB live, 316.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`-lowering-.f32`
5 840×	`-lowering-.f64`
2 934×	`/-lowering-/.f32`
2 934×	`/-lowering-/.f64`
2 558×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	26	88
2	41	88
3	77	88
4	145	88
5	1089	88
6	2295	88
7	2906	88
8	3615	88
9	4538	88
10	4880	88
11	5090	88
12	5283	88
13	5479	88
14	5814	88
15	7029	88
16	7422	88
17	7525	88
18	7538	88
19	7541	88
20	7541	88
21	7675	88
22	7860	88
0	8012	79

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval28.0ms (0.7%)

Memory: -1.6MiB live, 74.3MiB allocated
Compiler: Compiled 8 821 to 535 computations (93.9% saved)

prune30.0ms (0.8%)

Memory

-1.0MiB live, 80.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	3	251

Accuracy

100.0%

Counts

251 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)
▶	53.1%	(*.f64 x x)
▶	49.1%	x

Compiler

Compiled 11 to 5 computations (54.5% saved)

simplify4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
14×	`accelerator-lowering-fma.f32`
14×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	11
1	7	11
2	11	11
3	17	11
4	17	11
5	25	11
6	25	11
0	25	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(* x x)
x
(+ (* x x) x)
x

Outputs
x
(* x x)
(*.f64 x x)
x
(+ (* x x) x)
(fma.f64 x x x)
x

localize16.0ms (0.4%)

Memory

-7.9MiB live, 29.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

ival-mult: 5.0ms (81.9% of total)

ival-add: 1.0ms (16.4% of total)

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

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

series0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* x x)>
#<alt (+ (* x x) x)>

Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>

Calls

6 calls:

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

rewrite499.0ms (13.2%)

Memory

9.8MiB live, 876.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 160×	`accelerator-lowering-fma.f32`
15 160×	`accelerator-lowering-fma.f64`
4 346×	`/-lowering-/.f32`
4 346×	`/-lowering-/.f64`
3 486×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
1	21	8
2	152	8
3	1394	8
0	8244	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 216

Calls

Call 1

Inputs
(* x x)
(+ (* x x) x)

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

simplify569.0ms (15%)

Memory

33.5MiB live, 353.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`-lowering-.f32`
5 840×	`-lowering-.f64`
2 720×	`/-lowering-/.f32`
2 720×	`/-lowering-/.f64`
2 526×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	26	88
2	41	88
3	77	88
4	145	88
5	1132	88
6	2400	88
7	3034	88
8	3750	88
9	4644	88
10	4986	88
11	5201	88
12	5394	88
13	5590	88
14	5925	88
15	7143	88
16	7536	88
17	7639	88
18	7652	88
19	7655	88
20	7655	88
21	7789	88
22	7974	88
0	8004	79

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))

Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)

eval313.0ms (8.3%)

Memory: -21.0MiB live, 56.5MiB allocated
Compiler: Compiled 8 766 to 512 computations (94.2% saved)

prune178.0ms (4.7%)

Memory

20.5MiB live, 59.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	240	3	243

Accuracy

100.0%

Counts

243 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	53.1%	(*.f64 x x)
✓	49.1%	x

Compiler

Compiled 25 to 9 computations (64% saved)

regimes4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(fma.f64 x x x)
(+.f64 x (*.f64 x x))

Outputs
(fma.f64 x x x)

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 x (*.f64 x x))

Results

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

Compiler

Compiled 8 to 4 computations (50% saved)

regimes21.0ms (0.5%)

Memory

-33.0MiB live, 6.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
(*.f64 x x)

Outputs
x
(*.f64 x x)

Calls

2 calls:

19.0ms	(+.f64 x (*.f64 x x))
2.0ms	x

Results

Accuracy	Segments	Branch
97.6%	3	`x`
97.6%	2	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 8 to 4 computations (50% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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	(+.f64 x (*.f64 x x))

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 8 to 4 computations (50% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.26220437056687346	0.5670945680259525

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	8	17

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x x)
(if (<=.f64 (+.f64 x (.f64 x x)) #s(literal 1/2 binary64)) x (.f64 x x))
x

Outputs
(fma.f64 x x x)
(if (<=.f64 (+.f64 x (.f64 x x)) #s(literal 1/2 binary64)) x (.f64 x x))
x

soundness600.0ms (15.9%)

Memory

-56.0MiB live, 189.3MiB allocated

Rules

15 970×	`accelerator-lowering-fma.f32`
15 970×	`accelerator-lowering-fma.f64`
5 840×	`-lowering-.f32`
5 840×	`-lowering-.f64`
4 318×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	26	88
2	41	88
3	77	88
4	145	88
5	1089	88
6	2295	88
7	2906	88
8	3615	88
9	4538	88
10	4880	88
11	5090	88
12	5283	88
13	5479	88
14	5814	88
15	7029	88
16	7422	88
17	7525	88
18	7538	88
19	7541	88
20	7541	88
21	7675	88
22	7860	88
0	8012	79
0	3	8
1	21	8
2	154	8
3	1407	8
0	8280	7

Stop Event

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

Compiler

Compiled 31 to 13 computations (58.1% saved)

preprocess29.0ms (0.8%)

Memory: 11.1MiB live, 50.1MiB allocated
Compiler: Compiled 48 to 20 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	18
1	28	15
2	84	15
3	260	15
4	397	15
5	414	15
0	3	5
1	7	5
2	11	5
3	17	5
4	17	5
5	25	5
6	25	5
0	25	4

Iter	Nodes	Cost
0	7	18
1	28	15
2	84	15
3	260	15
4	397	15
5	414	15
0	3	5
1	7	5
2	11	5
3	17	5
4	17	5
5	25	5
6	25	5
0	25	4

analyze0.0ms (0%)

sample453.0ms (12%)

preprocess20.0ms (0.5%)

explain45.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize16.0ms (0.4%)

series1.0ms (0%)

rewrite580.0ms (15.3%)

simplify362.0ms (9.6%)

eval28.0ms (0.7%)

prune30.0ms (0.8%)

simplify4.0ms (0.1%)

localize16.0ms (0.4%)

series0.0ms (0%)

rewrite499.0ms (13.2%)

simplify569.0ms (15%)

eval313.0ms (8.3%)

prune178.0ms (4.7%)

regimes4.0ms (0.1%)

regimes21.0ms (0.5%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness600.0ms (15.9%)

preprocess29.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	18
1	28	15
2	84	15
3	260	15
4	397	15
5	414	15
0	3	5
1	7	5
2	11	5
3	17	5
4	17	5
5	25	5
6	25	5
0	25	4