Metrics for Expanding a square

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample739.0ms (77.2%)

Memory

37.2MiB live, 716.1MiB allocated

Samples

172.0ms	2 386×	1	valid
167.0ms	1 581×	2	valid
165.0ms	4 289×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-mult: 89.0ms (28% of total)

adjust: 76.0ms (23.9% of total)

ival-add: 76.0ms (23.9% of total)

ival-sub: 64.0ms (20.2% of total)

ival-true: 5.0ms (1.6% of total)

exact: 5.0ms (1.6% of total)

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

Bogosity

explain82.0ms (8.5%)

Memory

-24.0MiB live, 106.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`	cancellation	119	0

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

14.0ms	116×	2	valid
11.0ms	278×	0	valid
9.0ms	118×	1	valid

Compiler

Compiled 76 to 24 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

adjust: 5.0ms (25.8% of total)

ival-add: 5.0ms (25.8% of total)

ival-mult: 5.0ms (25.8% of total)

ival-sub: 4.0ms (20.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess2.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

New

Metric

Score

Program

cost-diff

(+.f64 x #s(literal 1 binary64))

cost-diff

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

cost-diff

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

Calls

Call 1

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

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

localize21.0ms (2.2%)

Memory

15.0MiB live, 15.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01953125	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	27.65332348129161	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

accuracy

0.0

(+.f64 x #s(literal 1 binary64))

accuracy

0.01953125

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

accuracy

27.65332348129161

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

Samples

6.0ms	58×	2	valid
5.0ms	139×	0	valid
4.0ms	59×	1	valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-mult: 3.0ms (32.1% of total)

adjust: 2.0ms (21.4% of total)

ival-add: 2.0ms (21.4% of total)

ival-sub: 2.0ms (21.4% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0.2%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs

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

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

(+.f64 x #s(literal 1 binary64))

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

Calls

3 calls:

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

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

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

Outputs
(* 2 x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1
(+.f64 x #s(literal 1 binary64))

rewrite0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

(+.f64 x #s(literal 1 binary64))

Outputs

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

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

(+.f64 x #s(literal 1 binary64))

eval1.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 85 to 13 computations (84.7% saved)

prune1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	3	8

Accuracy

56.9%

Counts

8 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

56.7%

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

▶

5.0%

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

▶

54.0%

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Calls

Call 1

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

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

localize25.0ms (2.7%)

Memory

-13.1MiB live, 17.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	27.65332348129161	(-.f64 #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	33.123326713206815	#s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01953125	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	29.44392939219655	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))

Samples

7.0ms	58×	2	valid
7.0ms	139×	0	valid
5.0ms	59×	1	valid

Compiler

Compiled 102 to 18 computations (82.4% saved)

Precisions

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

ival-mult: 3.0ms (32% of total)

adjust: 2.0ms (21.3% of total)

ival-add: 2.0ms (21.3% of total)

ival-sub: 2.0ms (21.3% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

5 → 11

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

0.0ms

inf

((- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) (+ x 1) (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)))

0.0ms

-inf

((- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) (+ x 1) (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)))

0.0ms

((- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) (+ x 1) (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)))

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 5

Calls

Call 1

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

Outputs
(* 2 x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1
(+.f64 x #s(literal 1 binary64))
(+ 1 (* 2 x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
#s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64)))

rewrite0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 202 to 17 computations (91.6% saved)

prune2.0ms (0.2%)

Memory

2.1MiB live, 2.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	9	4	13

Accuracy

56.9%

Counts

13 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	5.0%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	54.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	3.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 60 to 31 computations (48.3% saved)

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Calls

Call 1

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

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

localize22.0ms (2.3%)

Memory

-16.0MiB live, 14.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	29.44392939219655	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))))
accuracy	33.123326713206815	#s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64)))

Samples

8.0ms	58×	2	valid
5.0ms	139×	0	valid
4.0ms	59×	1	valid

Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

adjust: 4.0ms (38.1% of total)

ival-add: 2.0ms (19.1% of total)

ival-mult: 2.0ms (19.1% of total)

ival-sub: 2.0ms (19.1% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

3 → 11

Calls

Call 1

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

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

Calls

3 calls:

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

simplify0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

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

Outputs
(* 2 x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))))
(* x (+ 2 x))
#s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64)))
1
(+.f64 x #s(literal 1 binary64))

rewrite0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval0.0ms (0.1%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 94 to 10 computations (89.4% saved)

prune3.0ms (0.3%)

Memory

2.6MiB live, 2.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	4	4	8

Accuracy

56.9%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	5.0%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	54.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	3.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(approx (* (+ x 1) (+ x 1)) (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 120 to 44 computations (63.3% saved)

regimes8.0ms (0.8%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.7%	1	`x`
56.7%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
56.7%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
56.7%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.7%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
54.0%	1	`x`
54.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
54.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
54.0%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.6%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
5.0%	1	`x`
5.0%	1	`(+.f64 x #s(literal 1 binary64))`
5.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
5.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.5%)

Memory

-24.9MiB live, 6.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
3.7%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
3.7%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
3.7%	1	`(+.f64 x #s(literal 1 binary64))`
3.7%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify4.0ms (0.4%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Stop Event

1×

done

Compiler

Compiled 60 to 13 computations (78.3% saved)

preprocess22.0ms (2.3%)

Memory: -9.9MiB live, 22.2MiB allocated
Compiler: Compiled 138 to 36 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample739.0ms (77.2%)

explain82.0ms (8.5%)

preprocess2.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize21.0ms (2.2%)

series1.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize25.0ms (2.7%)

series1.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

simplify0.0ms (0%)

localize22.0ms (2.3%)

series1.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune3.0ms (0.3%)

regimes8.0ms (0.8%)

regimes6.0ms (0.7%)

regimes5.0ms (0.6%)

regimes5.0ms (0.5%)

simplify4.0ms (0.4%)

soundness1.0ms (0.1%)

preprocess22.0ms (2.3%)

end0.0ms (0%)

Profiling