Metrics for Main:i from

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)

sample531.0ms (52.5%)

Memory

34.7MiB live, 851.1MiB allocated

Samples

347.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-add: 189.0ms (96.4% of total)

ival-true: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess50.0ms (5%)

Memory

2.7MiB live, 41.0MiB 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 x #s(literal 5 binary64))

Symmetry

(negabs x)

explain91.0ms (9%)

Memory

-7.3MiB live, 147.2MiB 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 74 to 24 computations (67.6% saved)

Precisions

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

ival-add: 8.0ms (89.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB 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 10 to 5 computations (50% saved)

simplify5.0ms (0.5%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	64	(+.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 x #s(literal 5 binary64))
(+.f64 (+.f64 (+.f64 x x) x) x)
(*.f64 x #s(literal 4 binary64))
(+.f64 (+.f64 x x) x)
(*.f64 x #s(literal 3 binary64))
(+.f64 x x)
x

localize25.0ms (2.5%)

Memory

-25.7MiB live, 30.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 4.0ms (84.8% of total)

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

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

series3.0ms (0.3%)

Memory

3.7MiB live, 3.7MiB 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 (* 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 (* 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 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 (* 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 (* 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 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 (* 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 (* 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 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 (* 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 (* 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

12 calls:

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

simplify5.0ms (0.4%)

Memory

8.3MiB live, 8.3MiB 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)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

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

rewrite91.0ms (9%)

Memory

15.3MiB live, 172.9MiB allocated

Algorithm

1×	batch-egg-rewrite

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
(+.f64 x (+.f64 x x))
(+.f64 (+.f64 x x) x)
(+.f64 (+.f64 x x) (*.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x x))
(-.f64 (/.f64 (+.f64 x x) (+.f64 x #s(literal 0 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 0 binary64))))
(fma.f64 x #s(literal 2 binary64) x)
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 4 binary64) x)
(fma.f64 x #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (+.f64 x x) (+.f64 x x) x)
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 3 binary64) x (+.f64 x x))
(fma.f64 (fma.f64 x (*.f64 x x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x))) (+.f64 x x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (.f64 #s(literal 3 binary64) x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (*.f64 #s(literal 3 binary64) x))
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(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 (+.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))) (+.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 0 binary64)))) x)
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(fma.f64 #s(literal 2 binary64) x x)
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) x)
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) x)
(fma.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)) (.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x x)
(fma.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x (.f64 #s(literal 3 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) (+.f64 x x)) (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (+.f64 x x)) (fma.f64 x x (-.f64 (+.f64 x x) (.f64 x (+.f64 x x)))))
(/.f64 (-.f64 (+.f64 x x) (*.f64 x x)) (+.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x (.f64 x x) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (.f64 (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
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(/.f64 (fma.f64 (-.f64 (+.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 0 binary64)) (.f64 (+.f64 x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (.f64 (+.f64 x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 (+.f64 x x) (.f64 x x)) #s(literal 0 binary64) (.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (+.f64 x x))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 (+.f64 x x) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 0 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x)) (fma.f64 x (*.f64 x x) (+.f64 x x))))
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(/.f64 (-.f64 (*.f64 x x) (+.f64 x x)) (-.f64 x (+.f64 x x)))
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(.f64 (-.f64 (+.f64 x x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))))
(+.f64 x x)
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(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 x x)) (*.f64 x (+.f64 x x)))
(+.f64 (.f64 (+.f64 x x) (.f64 #s(literal 3 binary64) x)) (*.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (/.f64 (.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
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(fma.f64 x (+.f64 x x) (.f64 (+.f64 x x) (.f64 #s(literal 3 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (+.f64 x x))
(fma.f64 x #s(literal 4 binary64) (+.f64 x x))
(fma.f64 (+.f64 x x) x (*.f64 x (+.f64 x x)))
(fma.f64 (+.f64 x x) x (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 x x)))
(fma.f64 (+.f64 x x) x (.f64 (+.f64 x x) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))
(fma.f64 (+.f64 x x) (.f64 #s(literal 3 binary64) x) (.f64 x (+.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (+.f64 x x) (.f64 x (+.f64 x x)))
(fma.f64 #s(literal 3 binary64) x x)
(fma.f64 (fma.f64 x (*.f64 x x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x))) x)
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (+.f64 x x))
(fma.f64 (-.f64 (+.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x (+.f64 x x))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 x (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (+.f64 x x) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) (+.f64 x x))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (+.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (+.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)) (.f64 x (*.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (+.f64 x (+.f64 x #s(literal 0 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 x (+.f64 x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))))) (.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64))))) (.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))) (+.f64 x (+.f64 x #s(literal 0 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))))) (.f64 (+.f64 x (+.f64 x #s(literal 0 binary64))) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (.f64 (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64))))) (.f64 (+.f64 x (+.f64 x #s(literal 0 binary64))) (+.f64 x (+.f64 x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64))))) (neg.f64 (+.f64 x (+.f64 x #s(literal 0 binary64)))))
(/.f64 (-.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (+.f64 x x) (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))) (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal 0 binary64))) (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x))) (-.f64 x (*.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (+.f64 x x) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
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(/.f64 (.f64 (+.f64 x x) (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64))))) (+.f64 x (+.f64 x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (+.f64 x x)) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (+.f64 x x)) (+.f64 x (+.f64 x #s(literal 0 binary64))))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 4 binary64))
(*.f64 (+.f64 x x) (+.f64 x x))
(.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 0 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (+.f64 x x))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)))
(.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x)

eval34.0ms (3.3%)

Memory: 0.4MiB live, 77.5MiB allocated
Compiler: Compiled 5 637 to 635 computations (88.7% saved)

prune40.0ms (4%)

Memory

-8.1MiB live, 73.3MiB 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 #s(literal 5 binary64) x))

Compiler

Compiled 5 to 3 computations (40% saved)

simplify5.0ms (0.5%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5 binary64) x)
✓	cost-diff	0	#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) 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	8	18
0	9	24
1	17	16
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 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x

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

localize18.0ms (1.8%)

Memory

-4.3MiB live, 34.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 5 binary64) x)
✓	accuracy	100.0%	#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions

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

ival-add: 5.0ms (75.9% of total)

ival-mult: 2.0ms (30.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 5 x)
0.0ms	x	@	inf	(* 5 x)
0.0ms	x	@	-inf	(* 5 x)
0.0ms	x	@	0	(+ (+ (+ (+ x x) x) x) x)
0.0ms	x	@	-inf	(+ (+ (+ (+ x x) x) x) x)

simplify4.0ms (0.3%)

Memory

4.7MiB live, 4.8MiB 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 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)

rewrite64.0ms (6.4%)

Memory

-1.8MiB live, 75.0MiB allocated

Algorithm

1×	batch-egg-rewrite

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

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

eval2.0ms (0.2%)

Memory: 6.1MiB live, 6.1MiB allocated
Compiler: Compiled 121 to 4 computations (96.7% saved)

prune2.0ms (0.2%)

Memory

2.9MiB live, 2.9MiB 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 #s(literal 5 binary64) x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes5.0ms (0.5%)

Memory

-35.1MiB live, 6.6MiB 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 #s(literal 5 binary64) x))
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)

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

Calls

2 calls:

1.0ms	(+.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 12 to 6 computations (50% saved)

simplify8.0ms (0.7%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

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 #s(literal 5 binary64) x))

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

soundness3.0ms (0.3%)

Memory

5.4MiB live, 5.4MiB 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 9 to 6 computations (33.3% saved)

preprocess23.0ms (2.3%)

Memory: 18.6MiB live, 56.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 50 to 28 computations (44% 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

analyze0.0ms (0%)

sample531.0ms (52.5%)

preprocess50.0ms (5%)

explain91.0ms (9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify5.0ms (0.5%)

localize25.0ms (2.5%)

series3.0ms (0.3%)

simplify5.0ms (0.4%)

rewrite91.0ms (9%)

eval34.0ms (3.3%)

prune40.0ms (4%)

simplify5.0ms (0.5%)

localize18.0ms (1.8%)

series2.0ms (0.2%)

simplify4.0ms (0.3%)

rewrite64.0ms (6.4%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

regimes5.0ms (0.5%)

simplify8.0ms (0.7%)

soundness3.0ms (0.3%)

preprocess23.0ms (2.3%)

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