Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

Time bar (total: 723.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample521.0ms (72.1%)

Memory
24.8MiB live, 799.7MiB allocated
Samples
313.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-mult: 113.0ms (65.6% of total)
ival-sub: 43.0ms (24.9% of total)
exact: 8.0ms (4.6% of total)
ival-true: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

explain65.0ms (9%)

Memory
-26.7MiB live, 133.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 x x) #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (70.7% of total)
ival-sub: 2.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess2.0ms (0.3%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
egg-herbie
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)

localize15.0ms (2%)

Memory
29.0MiB live, 29.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal 2 binary64))
Samples
10.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.2% of total)
ival-sub: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.5%)

Memory
-35.4MiB live, 3.5MiB allocated
Counts
3 → 5
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
Outputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(pow x 2)
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms
x
@inf
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms
x
@0
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
egg-herbie
Counts
5 → 3
Calls
Call 1
Inputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(pow x 2)
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
Outputs
-1
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (* 2 (pow x 2)) 1)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 x x)

rewrite0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

eval1.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 60 to 15 computations (75% saved)

prune1.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New426
Fresh000
Picked011
Done000
Total437
Accuracy
100.0%
Counts
7 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
75.4%
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
50.8%
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify0.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (* x x) 2) (*.f64 x x))
cost-diff0
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)

localize16.0ms (2.3%)

Memory
30.4MiB live, 30.4MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy29.14707824492165
#s(approx (* (* x x) 2) (*.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy31.47221015832922
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 84 to 21 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.8% of total)
ival-sub: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.5%)

Memory
-35.1MiB live, 3.5MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (* (* x x) 2) (*.f64 x x))
Outputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(pow x 2)
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (- (* (* x x) 2) 1) (* (* x x) 2))
1.0ms
x
@inf
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (- (* (* x x) 2) 1) (* (* x x) 2))
0.0ms
x
@0
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (- (* (* x x) 2) 1) (* (* x x) 2))

simplify0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
egg-herbie
Counts
5 → 5
Calls
Call 1
Inputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(pow x 2)
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
Outputs
-1
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(- (* 2 (pow x 2)) 1)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 x x)
(pow x 2)
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
#s(approx (* (* x x) 2) (*.f64 x x))

rewrite0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (* (* x x) 2) (*.f64 x x))
Outputs
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (* (* x x) 2) (*.f64 x x))

eval1.0ms (0.2%)

Memory
2.4MiB live, 2.4MiB allocated
Compiler

Compiled 164 to 20 computations (87.8% saved)

prune2.0ms (0.2%)

Memory
3.6MiB live, 3.6MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New9110
Fresh000
Picked022
Done011
Total9413
Accuracy
100.0%
Counts
13 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
75.4%
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
50.8%
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
28.0%
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (* x x) 2) (*.f64 x x))
cost-diff0
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)
x

localize14.0ms (1.9%)

Memory
24.6MiB live, 24.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy29.14707824492165
#s(approx (* (* x x) 2) (*.f64 x x))
accuracy31.47221015832922
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Samples
9.0ms256×0valid
Compiler

Compiled 48 to 17 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.3% of total)
ival-sub: 1.0ms (21.1% 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
3.0MiB live, 3.0MiB allocated
Counts
3 → 5
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)
Outputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(pow x 2)
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms
x
@-inf
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
0.0ms
x
@0
((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
egg-herbie
Counts
5 → 3
Calls
Call 1
Inputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(pow x 2)
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
Outputs
-1
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
(- (* 2 (pow x 2)) 1)
#s(approx (* (* x x) 2) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 x x)

rewrite0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
#s(approx (* (* x x) 2) (*.f64 x x))
(*.f64 x x)

eval0.0ms (0.1%)

Memory
1.0MiB live, 1.0MiB allocated
Compiler

Compiled 76 to 10 computations (86.8% saved)

prune4.0ms (0.6%)

Memory
-33.2MiB live, 5.1MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New404
Fresh000
Picked011
Done033
Total448
Accuracy
100.0%
Counts
8 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
75.4%
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
50.8%
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
28.0%
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Compiler

Compiled 96 to 48 computations (50% saved)

regimes8.0ms (1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) #s(literal 2 binary64))
2.0ms
(*.f64 x x)
2.0ms
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
100.0%1(*.f64 (*.f64 x x) #s(literal 2 binary64))
100.0%1(*.f64 x x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.9%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Outputs
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) #s(literal 2 binary64))
2.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.4%3x
98.4%2(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
98.4%2(*.f64 (*.f64 x x) #s(literal 2 binary64))
98.4%2(*.f64 x x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (1.1%)

Memory
-28.9MiB live, 12.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
Calls

4 calls:

4.0ms
(*.f64 (*.f64 x x) #s(literal 2 binary64))
1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
75.4%1x
75.4%1(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
75.4%1(*.f64 (*.f64 x x) #s(literal 2 binary64))
75.4%1(*.f64 x x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.6%)

Memory
11.6MiB live, 11.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Outputs
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Calls

4 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) #s(literal 2 binary64))
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
28.0%1x
28.0%1(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
28.0%1(*.f64 (*.f64 x x) #s(literal 2 binary64))
28.0%1(*.f64 x x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch11.0ms (1.5%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
6.851690698316304e-6
0.5963551069202214
Samples
4.0ms144×0valid
Compiler

Compiled 190 to 172 computations (9.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (57% of total)
ival-mult: 1.0ms (57% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify6.0ms (0.8%)

Memory
-28.7MiB live, 10.3MiB allocated
Algorithm
egg-herbie
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(-.f64 #s(approx (* (* x x) 2) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) #s(approx (* (* x x) 2) (*.f64 x x)))

soundness1.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Stop Event
done
Compiler

Compiled 65 to 18 computations (72.3% saved)

preprocess24.0ms (3.4%)

Memory
8.6MiB live, 47.3MiB allocated
Compiler

Compiled 144 to 48 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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