Metrics for Expression 2, p15

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample935.0ms (23.9%)

Memory

17.8MiB live, 1 121.5MiB allocated

Samples

618.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 86.0ms (39% of total)

ival-<=: 69.0ms (31.3% of total)

ival-add: 42.0ms (19% of total)

ival-and: 10.0ms (4.5% of total)

exact: 10.0ms (4.5% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess22.0ms (0.6%)

Memory

-34.7MiB live, 50.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4

Stop Event

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

Calls

Call 1

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

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

explain73.0ms (1.9%)

Memory

-38.4MiB live, 113.9MiB 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

16.0ms

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 (59.5% of total)

ival-add: 2.0ms (29.7% 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

1.8MiB live, 1.8MiB 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)

simplify5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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×	`lower-*.f32`
20×	`lower-*.f64`
14×	`lower-fma.f64`
14×	`lower-fma.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	9	9
2	13	9
3	19	9
4	19	9
5	27	9
6	27	9
0	27	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB 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

7.0ms

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 (61.8% of total)

ival-add: 1.0ms (30.9% of total)

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

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

series2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (+.f64 x (*.f64 x x))>
#<alt (*.f64 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	@	inf	(* x x)
0.0ms	x	@	-inf	(+ x (* x x))
0.0ms	x	@	-inf	(* x x)
0.0ms	x	@	0	(+ x (* x x))

rewrite801.0ms (20.5%)

Memory

7.9MiB live, 755.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 970×	`lower-fma.f64`
15 970×	`lower-fma.f32`
4 318×	`lower-/.f64`
4 318×	`lower-/.f32`
3 558×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	8
1	23	8
2	156	8
3	1413	8
0	8309	7

Stop Event

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

Counts

2 → 226

Calls

Call 1

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

simplify379.0ms (9.7%)

Memory

-7.2MiB live, 430.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
2 934×	`lower-/.f32`
2 934×	`lower-/.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 → 23

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)

eval30.0ms (0.8%)

Memory: -17.1MiB live, 71.8MiB allocated
Compiler: Compiled 8 820 to 534 computations (93.9% saved)

prune47.0ms (1.2%)

Memory

24.3MiB live, 62.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	2	250

Accuracy

100.0%

Counts

250 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)
▶	6.8%	(*.f64 x x)

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify32.0ms (0.8%)

Memory

-31.5MiB live, 7.2MiB 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×	`lower-*.f32`
20×	`lower-*.f64`
14×	`lower-fma.f32`
12×	`lower-fma.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	9	9
2	13	9
3	19	9
4	19	9
5	27	9
6	27	9
0	27	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB 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

8.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

ival-mult: 2.0ms (60.2% of total)

ival-add: 1.0ms (30.1% of total)

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

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

series2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (*.f64 x x)>
#<alt (fma.f64 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	@	-inf	(* x x)
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	-inf	(+ (* x x) x)
0.0ms	x	@	inf	(+ (* x x) x)
0.0ms	x	@	0	(* x x)

rewrite682.0ms (17.4%)

Memory

-7.6MiB live, 666.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 160×	`lower-fma.f32`
15 158×	`lower-fma.f64`
4 346×	`lower-/.f64`
4 346×	`lower-/.f32`
3 486×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	23	7
2	154	7
3	1397	7
0	8244	7

Stop Event

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

Counts

2 → 216

Calls

Call 1

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

simplify381.0ms (9.7%)

Memory

34.9MiB live, 305.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
2 720×	`lower-/.f32`
2 720×	`lower-/.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 → 23

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)

eval28.0ms (0.7%)

Memory: -10.3MiB live, 68.9MiB allocated
Compiler: Compiled 8 765 to 515 computations (94.1% saved)

prune26.0ms (0.7%)

Memory

11.6MiB live, 88.9MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	239	2	241

Accuracy

100.0%

Counts

241 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	6.8%	(*.f64 x x)

Compiler

Compiled 22 to 8 computations (63.6% saved)

regimes5.0ms (0.1%)

Memory

-27.7MiB live, 11.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x x)

Calls

2 calls:

3.0ms	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)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

1.0ms	(+.f64 x (*.f64 x x))
1.0ms	x

Results

Accuracy	Segments	Branch
6.8%	1	`x`
6.8%	1	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 8 to 4 computations (50% saved)

simplify5.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness399.0ms (10.2%)

Memory

-10.5MiB live, 206.2MiB allocated

Rules

15 970×	`lower-fma.f64`
15 970×	`lower-fma.f32`
5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
4 318×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	8
1	23	8
2	156	8
3	1413	8
0	8309	7
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 17 to 7 computations (58.8% saved)

preprocess29.0ms (0.7%)

Memory: -16.5MiB live, 58.0MiB allocated
Compiler: Compiled 40 to 20 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4

analyze0.0ms (0%)

sample935.0ms (23.9%)

preprocess22.0ms (0.6%)

explain73.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize12.0ms (0.3%)

series2.0ms (0%)

rewrite801.0ms (20.5%)

simplify379.0ms (9.7%)

eval30.0ms (0.8%)

prune47.0ms (1.2%)

simplify32.0ms (0.8%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite682.0ms (17.4%)

simplify381.0ms (9.7%)

eval28.0ms (0.7%)

prune26.0ms (0.7%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness399.0ms (10.2%)

preprocess29.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4