Metrics for Expression 3, 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 17 to 10 computations (41.2% saved)

sample729.0ms (19.7%)

Memory

27.8MiB live, 1 164.3MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-mult: 156.0ms (59.2% of total)

ival-<=: 49.0ms (18.6% of total)

ival-add: 36.0ms (13.7% of total)

ival-and: 11.0ms (4.2% of total)

exact: 9.0ms (3.4% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess20.0ms (0.6%)

Memory

31.1MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`associate-r`
62×	`distribute-lft-neg-in`
54×	`sub-neg`
42×	`lower-*.f32`
38×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Stop Event

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

Calls

Call 1

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

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

explain139.0ms (3.7%)

Memory

-25.0MiB live, 110.9MiB allocated

FPErrors

Click to see full error table

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

58.0ms

512×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (67.6% of total)

ival-add: 2.0ms (22.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 4 computations (60% saved)

simplify6.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	448	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Rules

42×	`lower-*.f32`
38×	`lower-*.f64`
28×	`lower-fma.f64`
28×	`lower-fma.f32`
18×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	18
0	7	14
1	16	14
2	24	14
3	33	14
4	41	14
5	51	14
6	54	14
0	54	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (1.2%)

Memory

-21.4MiB live, 15.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

40.0ms

256×

valid

Compiler

Compiled 20 to 6 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 34.0ms (96.8% of total)

ival-add: 1.0ms (2.8% of total)

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

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

series2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x (.f64 x x)) (*.f64 x x))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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

9 calls:

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

rewrite1.1s (30.3%)

Memory

21.9MiB live, 657.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
4 498×	`lower-/.f64`
4 498×	`lower-/.f32`
3 492×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Counts

3 → 243

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (.f64 x (.f64 x (.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 (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (neg.f64 (.f64 x (-.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.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)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.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)) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.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 x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.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 x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 x (-.f64 (.f64 x x) 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 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x 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 (.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 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x 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 (.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 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))))
(-.f64 (/.f64 (.f64 (/.f64 (.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 (.f64 x x) x))) (fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))) (/.f64 (.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 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))
(fma.f64 x x (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 x (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x x) x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x))) (.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x x x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (neg.f64 (.f64 x (-.f64 (*.f64 x x) x)))))
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(.f64 (pow.f64 (/.f64 x (.f64 x (fma.f64 x x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (.f64 x (-.f64 (*.f64 x x) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.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 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x 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 (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))) (neg.f64 x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 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)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 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 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))

simplify237.0ms (6.4%)

Memory

-11.4MiB live, 304.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
3 550×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.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)
(pow x 2)
(*.f64 x x)

eval31.0ms (0.8%)

Memory: 21.0MiB live, 63.0MiB allocated
Compiler: Compiled 12 359 to 680 computations (94.5% saved)

prune34.0ms (0.9%)

Memory

-1.0MiB live, 72.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	301	3	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	3	305

Accuracy

100.0%

Counts

305 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	98.6%	(*.f64 x x)

Compiler

Compiled 20 to 9 computations (55% saved)

simplify6.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	320	(fma.f64 x x (.f64 x (.f64 x x)))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(*.f64 (fma.f64 x x x) x)
✓	cost-diff	0	(*.f64 x x)

Rules

42×	`lower-*.f32`
36×	`lower-*.f64`
28×	`lower-fma.f32`
24×	`lower-fma.f64`
12×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	32
0	11	28
1	22	28
2	28	28
3	40	28
4	40	28
5	52	28
6	52	28
0	52	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.7%)

Memory

2.3MiB live, 40.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	100.0%	(*.f64 (fma.f64 x x x) x)
✓	accuracy	100.0%	(*.f64 x x)

Samples

16.0ms

256×

valid

Compiler

Compiled 37 to 8 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 5.0ms (47.4% of total)

ival-mult: 5.0ms (47.4% of total)

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

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

series13.0ms (0.4%)

Memory

-62.5MiB live, 3.4MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (fma.f64 x x x) x)>
#<alt (fma.f64 x x x)>
#<alt (fma.f64 x x (.f64 x (.f64 x x)))>
#<alt (.f64 x (.f64 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<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) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

15 calls:

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

rewrite549.0ms (14.8%)

Memory

39.7MiB live, 585.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 588×	`lower-fma.f32`
5 584×	`lower-fma.f64`
4 682×	`lower-/.f64`
4 682×	`lower-/.f32`
3 332×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	26
0	11	22
1	44	22
2	278	22
3	2798	22
0	8834	22

Stop Event

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

Counts

5 → 534

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
(fma.f64 x x (.f64 x (.f64 x x)))
(.f64 x (.f64 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)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 (neg.f64 (.f64 x (.f64 x 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 (.f64 x x) (.f64 x (*.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (/.f64 (.f64 x (.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 x (-.f64 (.f64 x x) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (-.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))) (neg.f64 (.f64 x (-.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.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 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.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 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x))))
(-.f64 (/.f64 (/.f64 (.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 x (.f64 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 x x) (.f64 x (fma.f64 x (.f64 x x) x)))))) (.f64 x (-.f64 x (.f64 x x)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 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 x x) (.f64 x (fma.f64 x (.f64 x x) x)))))) (.f64 x (-.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) x)))) (.f64 x (-.f64 x (.f64 x x)))) (/.f64 (/.f64 (.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 x x) (.f64 x (fma.f64 x (.f64 x x) x)))) (.f64 x (-.f64 x (.f64 x x)))))
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(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(/.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))) (neg.f64 x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))

simplify237.0ms (6.4%)

Memory

-16.4MiB live, 301.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
3 556×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	268
1	42	268
2	76	268
3	130	268
4	295	268
5	1329	268
6	2320	268
7	3172	268
8	3925	268
9	4749	268
10	5092	268
11	5361	268
12	5573	268
13	5793	268
14	5876	268
15	6666	268
16	7757	268
0	8057	241

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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)
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
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) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval67.0ms (1.8%)

Memory: 7.5MiB live, 116.9MiB allocated
Compiler: Compiled 22 820 to 1 095 computations (95.2% saved)

prune43.0ms (1.2%)

Memory

16.3MiB live, 91.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	618	0	618
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	618	3	621

Accuracy

100.0%

Counts

621 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	98.6%	(*.f64 x x)

Compiler

Compiled 47 to 16 computations (66% saved)

regimes4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes2.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB 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	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

simplify9.0ms (0.2%)

Memory

-34.9MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	8	17

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness350.0ms (9.4%)

Memory

14.7MiB live, 214.6MiB allocated

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
4 498×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Compiler

Compiled 38 to 15 computations (60.5% saved)

preprocess32.0ms (0.9%)

Memory: -7.4MiB live, 68.3MiB allocated
Compiler: Compiled 72 to 30 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

analyze0.0ms (0%)

sample729.0ms (19.7%)

preprocess20.0ms (0.6%)

explain139.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize45.0ms (1.2%)

series2.0ms (0.1%)

rewrite1.1s (30.3%)

simplify237.0ms (6.4%)

eval31.0ms (0.8%)

prune34.0ms (0.9%)

simplify6.0ms (0.2%)

localize25.0ms (0.7%)

series13.0ms (0.4%)

rewrite549.0ms (14.8%)

simplify237.0ms (6.4%)

eval67.0ms (1.8%)

prune43.0ms (1.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify9.0ms (0.2%)

soundness350.0ms (9.4%)

preprocess32.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6