Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 9 to 8 computations (11.1% saved)

sample565.0ms (73.9%)

Memory

0.1MiB live, 908.3MiB allocated

Samples

353.0ms

8 256×

valid

Precisions

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

ival-mult: 76.0ms (38.9% of total)

ival-div: 58.0ms (29.7% of total)

ival-sub: 43.0ms (22% of total)

exact: 8.0ms (4.1% of total)

ival-true: 6.0ms (3.1% of total)

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

Bogosity

explain67.0ms (8.8%)

Memory

-37.4MiB live, 122.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 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 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 4.0ms (35.9% of total)

ival-div: 3.0ms (26.9% of total)

ival-sub: 2.0ms (17.9% of total)

exact: 1.0ms (9% of total)

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

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

preprocess2.0ms (0.3%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize16.0ms (2.1%)

Memory

20.5MiB live, 20.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (36.6% of total)

ival-mult: 2.0ms (36.6% of total)

ival-sub: 1.0ms (18.3% 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

2.6MiB live, 2.6MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

8 → 3

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(-.f64 (*.f64 x x) #s(literal 3 binary64))
-3
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

eval1.0ms (0.1%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 60 to 15 computations (75% saved)

prune1.0ms (0.2%)

Memory

2.1MiB live, 2.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Accuracy

99.8%

Counts

7 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.8%

(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

▶

53.4%

(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

▶

37.5%

#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)

localize19.0ms (2.5%)

Memory

-14.9MiB live, 23.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	29.746957673350714	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	40.00510326733878	#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 84 to 21 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (44% of total)

ival-div: 2.0ms (29.3% of total)

ival-sub: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

5 → 8

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3))
0.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3))

Time

Variable

Point

Expression

0.0ms

inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3))

0.0ms

-inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3))

0.0ms

((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

8 → 5

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(- (* 1/6 (pow x 2)) 1/2)
(-.f64 (*.f64 x x) #s(literal 3 binary64))
-3
(*.f64 x x)
(- (pow x 2) 3)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(pow x 2)
#s(approx (- (* x x) 3) (*.f64 x x))

rewrite0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

Outputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

eval1.0ms (0.1%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 168 to 22 computations (86.9% saved)

prune2.0ms (0.3%)

Memory

3.7MiB live, 3.7MiB 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

99.8%

Counts

13 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	53.4%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	37.5%	#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
▶	30.9%	#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x

localize17.0ms (2.2%)

Memory

-19.6MiB live, 18.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	29.746957673350714	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	40.00510326733878	#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Samples

12.0ms

256×

valid

Compiler

Compiled 48 to 17 computations (64.6% saved)

Precisions

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

ival-div: 2.0ms (36.8% of total)

ival-mult: 2.0ms (36.8% of total)

ival-sub: 1.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.2%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

8 → 3

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
(- (* 1/6 (pow x 2)) 1/2)
#s(approx (- (* x x) 3) (*.f64 x x))
-3
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)

eval0.0ms (0.1%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 76 to 10 computations (86.8% saved)

prune3.0ms (0.3%)

Memory

3.7MiB live, 3.7MiB 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

99.8%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	53.4%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	37.5%	#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
✓	30.9%	#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Compiler

Compiled 96 to 48 computations (50% saved)

regimes7.0ms (0.9%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.8%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))

(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
59.9%	3	`x`
59.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
59.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
59.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.8%)

Memory

-29.5MiB live, 9.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
37.5%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
37.5%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.5%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Calls

4 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
30.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
30.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
30.9%	1	`(*.f64 x x)`
30.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (1.3%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.11185879873746878	565.8187080665659

Samples

4.0ms

128×

valid

Compiler

Compiled 170 to 154 computations (9.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (55.9% of total)

ival-div: 1.0ms (55.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify4.0ms (0.6%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(if (<=.f64 (.f64 x x) #s(literal 8106479329266893/2251799813685248 binary64)) #s(approx (/ (- ( x x) 3) 6) (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(if (<=.f64 (.f64 x x) #s(literal 8106479329266893/2251799813685248 binary64)) #s(approx (/ (- ( x x) 3) 6) (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (-.f64 (*.f64 x x) #s(literal 3 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(approx (- (* x x) 3) (*.f64 x x)))

soundness1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 67 to 18 computations (73.1% saved)

preprocess24.0ms (3.2%)

Memory: -7.2MiB live, 33.4MiB allocated
Compiler: Compiled 148 to 48 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample565.0ms (73.9%)

explain67.0ms (8.8%)

preprocess2.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize16.0ms (2.1%)

series2.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0.1%)

localize19.0ms (2.5%)

series1.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0.1%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

simplify0.0ms (0%)

localize17.0ms (2.2%)

series1.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune3.0ms (0.3%)

regimes7.0ms (0.9%)

regimes6.0ms (0.8%)

regimes6.0ms (0.8%)

regimes4.0ms (0.5%)

bsearch10.0ms (1.3%)

simplify4.0ms (0.6%)

soundness1.0ms (0.1%)

preprocess24.0ms (3.2%)

end0.0ms (0%)

Profiling