Metrics for Main:i from

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample672.0ms (51.3%)

Memory

42.0MiB live, 849.1MiB allocated

Samples

484.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 341.0ms

ival-add: 332.0ms (97.2% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain119.0ms (9.1%)

Memory

-16.3MiB live, 179.2MiB allocated

FPErrors

Click to see full error table

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

19.0ms

512×

valid

Compiler

Compiled 63 to 19 computations (69.8% saved)

Precisions

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

ival-add: 8.0ms (88.5% of total)

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

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

preprocess22.0ms (1.7%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`sub-neg`
64×	`cancel-sign-sub-inv`
60×	`associate-+l-`
48×	`unsub-neg`
44×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	29	12
2	110	9
3	346	6
4	474	6
5	491	6
6	493	6
0	5	9
0	9	9
1	16	5
2	26	3
3	37	3
4	39	3
0	39	3

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
(*.f64 #s(literal 5 binary64) x)

Symmetry

(negabs x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.3%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 x x)
cost-diff	192	(+.f64 (+.f64 x x) x)
cost-diff	192	(+.f64 (+.f64 (+.f64 x x) x) x)
cost-diff	192	(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)

Rules

28×	`lower-fma.f64`
28×	`lower-fma.f32`
20×	`lower-*.f64`
20×	`lower-*.f32`
20×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	25
0	9	25
1	16	15
2	26	13
3	37	13
4	39	13
0	39	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
(*.f64 #s(literal 5 binary64) x)
(+.f64 (+.f64 (+.f64 x x) x) x)
(*.f64 #s(literal 4 binary64) x)
(+.f64 (+.f64 x x) x)
(*.f64 #s(literal 3 binary64) x)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize150.0ms (11.4%)

Memory

-16.2MiB live, 21.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
accuracy	0	(+.f64 (+.f64 (+.f64 x x) x) x)
accuracy	0	(+.f64 (+.f64 x x) x)
accuracy	0	(+.f64 x x)

Samples

145.0ms

256×

valid

Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-add: 138.0ms (99.7% of total)

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

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

series3.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((+ (+ (+ (+ x x) x) x) x) (+ (+ (+ x x) x) x) (+ (+ x x) x) (+ x x))

1.0ms

((+ (+ (+ (+ x x) x) x) x) (+ (+ (+ x x) x) x) (+ (+ x x) x) (+ x x))

1.0ms

-inf

((+ (+ (+ (+ x x) x) x) x) (+ (+ (+ x x) x) x) (+ (+ x x) x) (+ x x))

simplify4.0ms (0.3%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	144
1	13	144
0	13	144

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite80.0ms (6.1%)

Memory

-36.9MiB live, 62.3MiB allocated

Rules

670×	`lower-fma.f64`
670×	`lower-fma.f32`
230×	`lower-*.f64`
230×	`lower-*.f32`
210×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	24
0	9	32
1	55	12
0	685	12

Stop Event

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

Counts

4 → 288

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval49.0ms (3.7%)

Memory: 20.3MiB live, 57.4MiB allocated
Compiler: Compiled 5 108 to 643 computations (87.4% saved)

prune7.0ms (0.5%)

Memory

-18.0MiB live, 19.5MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	336	1	337

Accuracy

100.0%

Counts

337 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify5.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 5 binary64))
cost-diff	0	#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

Rules

28×	`lower-fma.f64`
28×	`lower-fma.f32`
20×	`lower-+.f64`
20×	`lower-*.f32`
20×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	18
0	9	18
1	17	14
2	27	12
3	37	12
4	38	12
0	38	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(*.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)

Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
(*.f64 x #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) x)
x
#s(literal 5 binary64)

localize16.0ms (1.2%)

Memory

27.3MiB live, 27.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 5 binary64))
accuracy	0	#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions

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

ival-add: 4.0ms (63.3% of total)

ival-mult: 2.0ms (31.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.8%)

Memory

-37.0MiB live, 5.5MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs

#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 5 binary64)) (patch (.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((+ (+ (+ (+ x x) x) x) x) (* x 5))
3.0ms	x	@	-inf	((+ (+ (+ (+ x x) x) x) x) (* x 5))
1.0ms	x	@	0	((+ (+ (+ (+ x x) x) x) x) (* x 5))

simplify3.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`lower-*.f64`
4×	`lower-*.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
1	4	72
0	4	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)

Outputs
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))

rewrite55.0ms (4.2%)

Memory

31.8MiB live, 67.0MiB allocated

Rules

670×	`lower-fma.f64`
670×	`lower-fma.f32`
234×	`lower-*.f32`
232×	`lower-*.f64`
210×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	9	16
1	56	10
0	687	10

Stop Event

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

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(*.f64 x #s(literal 5 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>

eval2.0ms (0.2%)

Memory: 7.0MiB live, 7.0MiB allocated
Compiler: Compiled 120 to 8 computations (93.3% saved)

prune6.0ms (0.5%)

Memory

-26.6MiB live, 11.6MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	1	28

Accuracy

100.0%

Counts

28 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)

Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

Calls

2 calls:

2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
1.0ms	x

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify23.0ms (1.7%)

Memory

10.3MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))

soundness3.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	144
1	13	144
0	13	144

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 7 to 7 computations (0% saved)

preprocess72.0ms (5.5%)

Memory: -27.0MiB live, 54.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 42 to 34 computations (19% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
1	29	12
2	110	9
3	346	6
4	474	6
5	491	6
6	493	6
0	5	9
0	9	9
1	16	5
2	26	3
3	37	3
4	39	3
0	39	3

Iter	Nodes	Cost
0	7	21
1	29	12
2	110	9
3	346	6
4	474	6
5	491	6
6	493	6
0	5	9
0	9	9
1	16	5
2	26	3
3	37	3
4	39	3
0	39	3

start0.0ms (0%)

analyze0.0ms (0%)

sample672.0ms (51.3%)

explain119.0ms (9.1%)

preprocess22.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.3%)

localize150.0ms (11.4%)

series3.0ms (0.2%)

simplify4.0ms (0.3%)

rewrite80.0ms (6.1%)

eval49.0ms (3.7%)

prune7.0ms (0.5%)

simplify5.0ms (0.3%)

localize16.0ms (1.2%)

series10.0ms (0.8%)

simplify3.0ms (0.2%)

rewrite55.0ms (4.2%)

eval2.0ms (0.2%)

prune6.0ms (0.5%)

regimes3.0ms (0.2%)

simplify23.0ms (1.7%)

soundness3.0ms (0.2%)

preprocess72.0ms (5.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
1	29	12
2	110	9
3	346	6
4	474	6
5	491	6
6	493	6
0	5	9
0	9	9
1	16	5
2	26	3
3	37	3
4	39	3
0	39	3