Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 10 computations (9.1% saved)

sample940.0ms (76.1%)

Memory

21.6MiB live, 1 032.2MiB allocated

Samples

673.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

const: 251.0ms (52.3% of total)

ival-mult: 136.0ms (28.3% of total)

ival-sub: 40.0ms (8.3% of total)

ival-add: 38.0ms (7.9% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain100.0ms (8.1%)

Memory

24.2MiB live, 227.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))`
-	-	`#s(literal 3/25 binary64)`
-	-	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x #s(literal 3/25 binary64))`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
-	-	`#s(literal 253/1000 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

42.0ms

512×

valid

Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

const: 14.0ms (50.1% of total)

ival-mult: 7.0ms (25.1% of total)

ival-add: 3.0ms (10.7% of total)

ival-sub: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess2.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Memory

-37.8MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
cost-diff	0	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

localize27.0ms (2.2%)

Memory

8.7MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
accuracy	0.00390625	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.09765625	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.26953125	(*.f64 x #s(literal 3/25 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

const: 8.0ms (54.7% of total)

ival-mult: 3.0ms (20.5% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 15

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))

Outputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
253/1000
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (* x 3/25))
1.0ms	x	@	-inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (* x 3/25))
1.0ms	x	@	0	((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (* x 3/25))

Time

Variable

Point

Expression

1.0ms

inf

((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (* x 3/25))

1.0ms

-inf

((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (* x 3/25))

1.0ms

((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (* x 3/25))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 4

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
253/1000
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))

Outputs
1
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+ 1 (* -253/1000 x))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* 253/1000 x)
(*.f64 x #s(literal 3/25 binary64))

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))

eval1.0ms (0.1%)

Memory: 5.1MiB live, 5.1MiB allocated
Compiler: Compiled 100 to 20 computations (80% saved)

prune1.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Accuracy

99.8%

Counts

9 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	48.3%	(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
▶	10.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

Status

Accuracy

Program

✓

99.8%

(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))

▶

48.3%

(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))

▶

10.0%

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

Compiler

Compiled 37 to 32 computations (13.5% saved)

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
#s(literal 1 binary64)
#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
#s(literal 1 binary64)
#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)

localize31.0ms (2.5%)

Memory

8.4MiB live, 44.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
accuracy	0.26953125	(*.f64 x #s(literal 3/25 binary64))
accuracy	57.16005484131316	#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.00390625	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.26953125	(*.f64 x #s(literal 3/25 binary64))
accuracy	57.61336471518228	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

Samples

25.0ms

256×

valid

Compiler

Compiled 100 to 26 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 11.0ms (65.2% of total)

ival-mult: 3.0ms (17.8% of total)

ival-sub: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% 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

3.0MiB live, 3.0MiB allocated

Counts

5 → 15

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))

Outputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
253/1000
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x 3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))))
1.0ms	x	@	-inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x 3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	0	((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x 3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))))

Time

Variable

Point

Expression

1.0ms

inf

((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x 3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))))

1.0ms

-inf

((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x 3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))))

0.0ms

((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x 3/25) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 5

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
253/1000
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))

Outputs
1
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(+ 1 (* -253/1000 x))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(*.f64 x #s(literal 3/25 binary64))
253/1000
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
(+ 253/1000 (* 3/25 x))
#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))

rewrite0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
#s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))

eval1.0ms (0.1%)

Memory: 2.5MiB live, 2.5MiB allocated
Compiler: Compiled 178 to 22 computations (87.6% saved)

prune7.0ms (0.6%)

Memory

-32.9MiB live, 4.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	10	3	13

Accuracy

99.8%

Counts

13 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	48.3%	(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
▶	3.6%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Status

Accuracy

Program

✓

99.8%

(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))

✓

48.3%

(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))

▶

3.6%

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)

localize31.0ms (2.5%)

Memory

4.2MiB live, 41.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.26953125	(*.f64 x #s(literal 3/25 binary64))
accuracy	61.694016894191584	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 34 to 21 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 6.0ms (48.1% of total)

ival-mult: 3.0ms (24.1% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 8

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))

Outputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x 3/25))
0.0ms	x	@	-inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x 3/25))
0.0ms	x	@	0	((- 1 (* x (+ 253/1000 (* x 3/25)))) (* x 3/25))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

8 → 2

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))

Outputs
1
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(+ 1 (* -253/1000 x))
(*.f64 x #s(literal 3/25 binary64))

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x #s(literal 3/25 binary64))

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 49 to 12 computations (75.5% saved)

prune2.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

99.8%

Counts

6 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.8%

(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))

✓

48.3%

(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))

✓

3.6%

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Compiler

Compiled 85 to 49 computations (42.4% saved)

regimes6.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.4%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64))))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
49.9%	2	`x`
48.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
48.3%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes10.0ms (0.8%)

Memory

-36.0MiB live, 10.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))

Calls

3 calls:

7.0ms	x
1.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
10.0%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
10.0%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
10.0%	1	`x`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes4.0ms (0.3%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Calls

3 calls:

1.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
3.6%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
3.6%	1	`x`
3.6%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch21.0ms (1.7%)

Memory

-9.2MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-23.786944067419967	-0.07836982327114189

Samples

9.0ms

128×

valid

Compiler

Compiled 220 to 204 computations (7.3% saved)

Precisions

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

const: 3.0ms (48.6% of total)

ival-mult: 2.0ms (32.4% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify5.0ms (0.4%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 1 binary64) #s(approx ( x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 1 binary64) #s(approx ( x (+ 253/1000 (* x 3/25))) (*.f64 x #s(literal 3/25 binary64)))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x #s(literal 3/25 binary64)))

soundness1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Stop Event

1×

done

Compiler

Compiled 67 to 22 computations (67.2% saved)

preprocess28.0ms (2.2%)

Memory: 9.1MiB live, 46.8MiB allocated
Compiler: Compiled 152 to 60 computations (60.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample940.0ms (76.1%)

explain100.0ms (8.1%)

preprocess2.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

simplify0.0ms (0%)

localize27.0ms (2.2%)

series3.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize31.0ms (2.5%)

series2.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune7.0ms (0.6%)

simplify0.0ms (0%)

localize31.0ms (2.5%)

series1.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes6.0ms (0.5%)

regimes5.0ms (0.4%)

regimes10.0ms (0.8%)

regimes4.0ms (0.3%)

bsearch21.0ms (1.7%)

simplify5.0ms (0.4%)

soundness1.0ms (0.1%)

preprocess28.0ms (2.2%)

end0.0ms (0%)

Profiling