Metrics for Expression 2, p15

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample624.0ms (18.1%)

Memory

32.0MiB live, 854.3MiB allocated

Samples

453.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-<=: 146.0ms (47.9% of total)

ival-mult: 98.0ms (32.2% of total)

ival-add: 39.0ms (12.8% of total)

ival-and: 10.0ms (3.3% of total)

exact: 9.0ms (3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess18.0ms (0.5%)

Memory

-3.2MiB live, 33.6MiB 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
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)

explain44.0ms (1.3%)

Memory

9.9MiB live, 86.3MiB 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: 6.0ms

ival-mult: 3.0ms (47.8% of total)

ival-add: 2.0ms (31.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB 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)

simplify4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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)

localize14.0ms (0.4%)

Memory

-13.9MiB live, 29.8MiB 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

9.0ms

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 (66.3% of total)

ival-add: 1.0ms (33.1% of total)

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

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

series1.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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	@	0	(* x x)
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	-inf	(+ x (* x x))

rewrite530.0ms (15.4%)

Memory

8.1MiB live, 715.2MiB 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)))))
(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 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)))

simplify377.0ms (10.9%)

Memory

-0.1MiB live, 324.4MiB 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)

eval27.0ms (0.8%)

Memory: -12.9MiB live, 64.9MiB allocated
Compiler: Compiled 8 821 to 535 computations (93.9% saved)

prune25.0ms (0.7%)

Memory

20.6MiB live, 58.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	248	2	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	249	2	251

Accuracy

100.0%

Counts

251 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)
▶	98.5%	x

Compiler

Compiled 7 to 3 computations (57.1% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x 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	7
1	7	7
2	11	7
3	17	7
4	17	7
5	25	7
6	25	7
0	25	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize14.0ms (0.4%)

Memory

-19.2MiB live, 17.9MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-mult: 2.0ms (67.4% of total)

ival-add: 1.0ms (33.7% of total)

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

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

series0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

1 → 12

Calls

Call 1

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

Calls

3 calls:

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

rewrite878.0ms (25.4%)

Memory

-132.9MiB live, 608.3MiB 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	5
1	21	5
2	152	5
3	1394	5
0	8244	4

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 203

Calls

Call 1

Inputs
(+ (* x x) x)

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

simplify379.0ms (11%)

Memory

27.7MiB live, 260.8MiB 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	52
1	26	52
2	41	52
3	77	52
4	145	52
5	1089	52
6	2295	52
7	2906	52
8	3615	52
9	4538	52
10	4880	52
11	5090	52
12	5283	52
13	5479	52
14	5814	52
15	7029	52
16	7422	52
17	7525	52
18	7538	52
19	7541	52
20	7541	52
21	7675	52
22	7860	52
0	8012	43

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

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)))

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)

eval27.0ms (0.8%)

Memory: -48.2MiB live, 48.5MiB allocated
Compiler: Compiled 8 666 to 495 computations (94.3% saved)

prune25.0ms (0.7%)

Memory

11.7MiB live, 51.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	215	2	217

Accuracy

100.0%

Counts

217 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	98.5%	x

Compiler

Compiled 18 to 7 computations (61.1% saved)

regimes4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x x)

Calls

2 calls:

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

5.8MiB live, 5.8MiB 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	(+.f64 x (*.f64 x x))
1.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 8 to 4 computations (50% saved)

simplify27.0ms (0.8%)

Memory

-27.5MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x x)
x

Outputs
(fma.f64 x x x)
x

soundness365.0ms (10.6%)

Memory

5.9MiB live, 160.0MiB 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 13 to 5 computations (61.5% saved)

preprocess59.0ms (1.7%)

Memory: 32.3MiB live, 112.5MiB allocated
Compiler: Compiled 36 to 18 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
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	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
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%)

sample624.0ms (18.1%)

preprocess18.0ms (0.5%)

explain44.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize14.0ms (0.4%)

series1.0ms (0%)

rewrite530.0ms (15.4%)

simplify377.0ms (10.9%)

eval27.0ms (0.8%)

prune25.0ms (0.7%)

simplify4.0ms (0.1%)

localize14.0ms (0.4%)

series0.0ms (0%)

rewrite878.0ms (25.4%)

simplify379.0ms (11%)

eval27.0ms (0.8%)

prune25.0ms (0.7%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify27.0ms (0.8%)

soundness365.0ms (10.6%)

preprocess59.0ms (1.7%)

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
1	7	5
2	11	5
3	17	5
4	17	5
5	25	5
6	25	5
0	25	4