Metrics for Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 7 to 6 computations (14.3% saved)

sample525.0ms (18.3%)

Memory

-0.9MiB live, 677.7MiB allocated

Samples

342.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 96.0ms (48.4% of total)

ival-sub: 89.0ms (44.9% of total)

ival-true: 6.0ms (3% of total)

exact: 5.0ms (2.5% of total)

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

Bogosity

explain64.0ms (2.2%)

Memory

-5.7MiB live, 154.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`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

23.0ms

512×

valid

Compiler

Compiled 59 to 34 computations (42.4% saved)

Precisions

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

ival-mult: 5.0ms (54.4% of total)

ival-sub: 3.0ms (32.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.7%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Stop Event

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

Calls

Call 1

Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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 x (-.f64 x #s(literal 1 binary64)))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

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

localize43.0ms (1.5%)

Memory

-42.4MiB live, 16.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (54.9% of total)

ival-mult: 2.0ms (54.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())

#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* x (- x 1)) (- x 1))
0.0ms	x	@	-inf	((* x (- x 1)) (- x 1))
0.0ms	x	@	0	((* x (- x 1)) (- x 1))

simplify139.0ms (4.9%)

Memory

6.0MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	32	83
2	75	83
3	133	83
4	381	83
5	1592	83
6	2757	83
7	3875	83
8	5224	83
9	6705	83
10	7600	83
0	8010	83

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 22

Calls

Call 1

Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
-1
(- x 1)
(- x 1)
(- x 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite244.0ms (8.5%)

Memory

22.8MiB live, 178.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	25	8
2	138	8
3	1250	8
0	8952	8

Stop Event

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

Counts

2 → 299

Calls

Call 1

Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
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eval145.0ms (5.1%)

Memory: 1.0MiB live, 85.7MiB allocated
Compiler: Compiled 6 888 to 877 computations (87.3% saved)

prune27.0ms (0.9%)

Memory

-19.2MiB live, 17.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	318	3	321
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	3	322

Accuracy

100.0%

Counts

322 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (neg.f64 x))
▶	48.9%	#s(approx (* x (- x 1)) (*.f64 x x))
▶	54.2%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 x x (neg.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* x (- x 1)) (*.f64 x x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (* x (- x 1)) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	12	32
1	22	32
2	31	32
3	42	32
4	60	32
5	117	32
6	203	32
7	232	32
8	232	32
0	232	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)

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

localize37.0ms (1.3%)

Memory

-14.9MiB live, 23.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	0	(*.f64 x x)
accuracy	32.69904141940115	#s(approx (* x (- x 1)) (*.f64 x x))
accuracy	0	(neg.f64 x)
accuracy	29.287733940579365	#s(approx (* x (- x 1)) (neg.f64 x))

Samples

30.0ms

256×

valid

Compiler

Compiled 50 to 15 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-neg: 18.0ms (74.9% of total)

ival-mult: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.3% of total)

ival-add: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (.f64 x x)) (patch #s(approx ( x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x)))
1.0ms	x	@	-inf	((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x)))
0.0ms	x	@	0	((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x)))

simplify130.0ms (4.5%)

Memory

26.1MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	219
1	22	219
2	40	219
3	82	219
4	191	219
5	373	219
6	698	219
7	2322	219
8	3755	219
9	5759	219
10	7525	219
0	8089	219

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 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)
(pow x 2)
(pow x 2)
(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)))
(* -1 x)
(* -1 x)
(* -1 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)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) 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)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) 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 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) 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 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

rewrite142.0ms (4.9%)

Memory

-25.3MiB live, 142.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	48	27
2	327	22
3	3609	22
0	8507	22

Stop Event

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

Counts

5 → 277

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x (neg.f64 x))

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

eval105.0ms (3.7%)

Memory: -7.6MiB live, 73.8MiB allocated
Compiler: Compiled 4 760 to 698 computations (85.3% saved)

prune9.0ms (0.3%)

Memory

28.7MiB live, 28.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	389	1	390
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	389	4	393

Accuracy

100.0%

Counts

393 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	48.9%	#s(approx (* x (- x 1)) (*.f64 x x))
✓	54.2%	#s(approx (* x (- x 1)) (neg.f64 x))
▶	3.6%	#s(approx (* x (- x 1)) x)

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify11.0ms (0.4%)

Memory

-28.5MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* x (- x 1)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	200	8
10	229	8
11	229	8
0	229	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
x

Outputs
#s(approx (* x (- x 1)) x)
x

localize14.0ms (0.5%)

Memory

-1.5MiB live, 36.1MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	61.71178072063238	#s(approx (* x (- x 1)) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.7% of total)

ival-sub: 1.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.7MiB live, 3.6MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* x (- x 1)))
0.0ms	x	@	-inf	((* x (- x 1)))
0.0ms	x	@	0	((* x (- x 1)))

simplify130.0ms (4.5%)

Memory

21.8MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	22	53
2	40	53
3	82	53
4	191	53
5	373	53
6	698	53
7	2322	53
8	3755	53
9	5759	53
10	7525	53
0	8089	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

rewrite179.0ms (6.3%)

Memory

7.0MiB live, 285.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	5	7
1	24	7
2	137	7
3	1251	7
0	8937	7

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)

Outputs
#<batchref>

eval1.0ms (0%)

Memory: 5.2MiB live, 5.2MiB allocated
Compiler: Compiled 67 to 10 computations (85.1% saved)

prune4.0ms (0.1%)

Memory

-28.5MiB live, 10.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	13	4	17

Accuracy

100.0%

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	48.9%	#s(approx (* x (- x 1)) (*.f64 x x))
✓	54.2%	#s(approx (* x (- x 1)) (neg.f64 x))
✓	3.6%	#s(approx (* x (- x 1)) x)

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes5.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0.2%)

Memory

-20.6MiB live, 18.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))

Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))

Calls

2 calls:

2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.1%	3	`x`
98.1%	2	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))

Calls

2 calls:

2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)

Outputs
#s(approx (* x (- x 1)) x)

Calls

2 calls:

1.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`x`
3.6%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.445568960706395e-5	49506.371385121885

Compiler

Compiled 8 to 8 computations (0% saved)

simplify71.0ms (2.5%)

Memory

-4.5MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	24	50
2	29	50
3	35	50
4	42	50
5	51	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) x)

Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(if (<=.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) x)

soundness720.0ms (25.1%)

Memory

3.0MiB live, 317.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	48	27
2	327	22
3	3609	22
0	8507	22
0	4	8
0	6	8
1	25	8
2	138	8
3	1250	8
0	8952	8
0	15	83
1	32	83
2	75	83
3	133	83
4	381	83
5	1592	83
6	2757	83
7	3875	83
8	5224	83
9	6705	83
10	7600	83
0	8010	83

Stop Event

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

Compiler

Compiled 52 to 30 computations (42.3% saved)

preprocess65.0ms (2.3%)

Memory: -7.6MiB live, 68.7MiB allocated
Compiler: Compiled 80 to 40 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	200	8
10	229	8
11	229	8
0	229	8

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	200	8
10	229	8
11	229	8
0	229	8

start0.0ms (0%)

analyze0.0ms (0%)

sample525.0ms (18.3%)

explain64.0ms (2.2%)

preprocess19.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.3%)

localize43.0ms (1.5%)

series2.0ms (0.1%)

simplify139.0ms (4.9%)

rewrite244.0ms (8.5%)

eval145.0ms (5.1%)

prune27.0ms (0.9%)

simplify8.0ms (0.3%)

localize37.0ms (1.3%)

series3.0ms (0.1%)

simplify130.0ms (4.5%)

rewrite142.0ms (4.9%)

eval105.0ms (3.7%)

prune9.0ms (0.3%)

simplify11.0ms (0.4%)

localize14.0ms (0.5%)

series1.0ms (0%)

simplify130.0ms (4.5%)

rewrite179.0ms (6.3%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify71.0ms (2.5%)

soundness720.0ms (25.1%)

preprocess65.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	200	8
10	229	8
11	229	8
0	229	8