Data.Random.Distribution.Normal:doubleStdNormalZ from random-fu-0.2.6.2

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample734.0ms (20.4%)

Memory
7.9MiB live, 755.0MiB allocated; 176ms collecting garbage
Samples
440.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-sub: 179.0ms (64.2% of total)
ival-add: 86.0ms (30.8% of total)
ival-true: 5.0ms (1.8% of total)
exact: 4.0ms (1.4% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain137.0ms (3.8%)

Memory
9.7MiB live, 92.5MiB allocated; 61ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x x)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (+.f64 x x) #s(literal 1 binary64))
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
16.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (46.7% of total)
ival-sub: 2.0ms (31.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess358.0ms (9.9%)

Memory
20.6MiB live, 276.9MiB allocated; 104ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11413
22511
34911
413811
571010
6633510
045
065
1125
2185
3345
41075
55955
655375
080404
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify222.0ms (6.2%)

Memory
-17.2MiB live, 213.1MiB allocated; 38ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff1
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11210
21810
33410
410710
559510
6553710
080409
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 x x)
x
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1 binary64)

localize12.0ms (0.3%)

Memory
18.7MiB live, 18.6MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (+.f64 x x) #s(literal 1 binary64))
accuracy0.0
(+.f64 x x)
Samples
7.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (35% of total)
ival-add: 1.0ms (35% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Counts
2 → 5
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 x x)
Outputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Calls

3 calls:

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

simplify184.0ms (5.1%)

Memory
-2.9MiB live, 186.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
12319
24919
39919
443819
5257619
6704019
0846216
Stop Event
1×iter limit
1×node limit
Counts
5 → 5
Calls
Call 1
Inputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))

rewrite95.0ms (2.6%)

Memory
-25.9MiB live, 76.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1348
03267
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 62
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 x x)
Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) (fabs.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 (-.f64 x #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) (fabs.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 667 to 158 computations (76.3% saved)

prune2.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh000
Picked011
Done000
Total64266
Accuracy
100.0%
Counts
66 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
▶55.4%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify207.0ms (5.7%)

Memory
-19.3MiB live, 168.7MiB allocated; 69ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
068
1128
2188
3348
41068
55948
654928
084087
Stop Event
1×iter limit
1×node limit
1×saturated
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)

localize11.0ms (0.3%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy28.528013797785686
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Samples
7.0ms256×0valid
Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.1% of total)
ival-add: 1.0ms (34.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Counts
1 → 5
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Outputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((- (+ x x) 1))
0.0ms
x
@inf
((- (+ x x) 1))
0.0ms
x
@0
((- (+ x x) 1))

simplify221.0ms (6.1%)

Memory
-19.1MiB live, 125.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
12319
24919
39919
443819
5258219
6703119
0845316
Stop Event
1×iter limit
1×node limit
Counts
5 → 5
Calls
Call 1
Inputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))

rewrite63.0ms (1.8%)

Memory
19.4MiB live, 62.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
067
1347
03256
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))

eval0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 26 to 11 computations (57.7% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New213
Fresh000
Picked011
Done011
Total235
Accuracy
100.0%
Counts
5 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
▶46.7%
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
✓55.4%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 21 to 17 computations (19% saved)

simplify201.0ms (5.6%)

Memory
-30.5MiB live, 156.4MiB allocated; 39ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
11514
22414
35814
423614
5116314
6788814
0800513
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize14.0ms (0.4%)

Memory
38.1MiB live, 38.1MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy34.10103898198301
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
Samples
10.0ms256×0valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (44.1% of total)
ival-sub: 1.0ms (22% of total)
ival-add: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
2 → 5
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Calls

3 calls:

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

simplify202.0ms (5.6%)

Memory
3.1MiB live, 186.7MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
12319
24919
39919
443819
5258219
6703119
0845316
Stop Event
1×iter limit
1×node limit
Counts
5 → 5
Calls
Call 1
Inputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))

rewrite64.0ms (1.8%)

Memory
-20.5MiB live, 23.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
0812
03712
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 6
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)

eval1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 107 to 30 computations (72% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New819
Fresh000
Picked101
Done022
Total9312
Accuracy
100.0%
Counts
12 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
▶46.7%
#s(approx (- (+ x x) 1) (+.f64 x x))
✓55.4%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify306.0ms (8.5%)

Memory
4.2MiB live, 169.8MiB allocated; 179ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (- (+ x x) 1) (+.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0713
11313
21913
33513
410813
559613
6554813
0805112
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (+.f64 x x))
(+.f64 x x)
x
Outputs
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize25.0ms (0.7%)

Memory
-12.7MiB live, 33.8MiB allocated; 5ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy34.10103898198301
#s(approx (- (+ x x) 1) (+.f64 x x))
Samples
21.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.6% of total)
ival-add: 1.0ms (34.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Counts
2 → 5
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (+.f64 x x))
(+.f64 x x)
Outputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((- (+ x x) 1) (+ x x))
0.0ms
x
@inf
((- (+ x x) 1) (+ x x))
0.0ms
x
@0
((- (+ x x) 1) (+ x x))

simplify232.0ms (6.4%)

Memory
-15.0MiB live, 175.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
12319
24919
39919
443819
5258219
6703119
0845316
Stop Event
1×iter limit
1×node limit
Counts
5 → 5
Calls
Call 1
Inputs
-1
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))

rewrite88.0ms (2.4%)

Memory
-10.5MiB live, 88.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
0712
13512
032711
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 35
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) (fabs.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 549 to 114 computations (79.2% saved)

prune2.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done022
Total38341
Accuracy
100.0%
Counts
41 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
✓46.7%
#s(approx (- (+ x x) 1) (+.f64 x x))
✓55.4%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 51 to 29 computations (43.1% saved)

regimes6.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Calls

3 calls:

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

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (+.f64 x x))
Calls

3 calls:

1.0ms
x
1.0ms
(+.f64 x x)
1.0ms
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.5%3(+.f64 x x)
98.5%3(-.f64 (+.f64 x x) #s(literal 1 binary64))
98.5%3x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.5%)

Memory
-33.6MiB live, 10.2MiB allocated; 5ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Calls

3 calls:

16.0ms
(-.f64 (+.f64 x x) #s(literal 1 binary64))
1.0ms
(+.f64 x x)
1.0ms
x
Results
AccuracySegmentsBranch
55.4%1(+.f64 x x)
55.4%1(-.f64 (+.f64 x x) #s(literal 1 binary64))
55.4%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch23.0ms (0.6%)

Memory
38.7MiB live, 38.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.3186427852705794e-10
627.323451222082
10.0ms
-117.53530214980604
-2.0608192336000212e-13
Samples
9.0ms320×0valid
Compiler

Compiled 328 to 288 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (58.4% of total)
ival-sub: 1.0ms (29.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify48.0ms (1.3%)

Memory
-8.8MiB live, 34.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
12637
23537
36337
415437
5114937
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1/2 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x)) (if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (+ x x) 1) #s(literal -1 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x))))
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1/2 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x)) (if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (+ x x) 1) #s(literal -1 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x))))
(if (or (<=.f64 x #s(literal -1/2 binary64)) (not (<=.f64 x #s(literal 1/2 binary64)))) #s(approx (- (+ x x) 1) (+.f64 x x)) #s(approx (- (+ x x) 1) #s(literal -1 binary64)))
#s(approx (- (+ x x) 1) #s(literal -1 binary64))

derivations86.0ms (2.4%)

Memory
-27.5MiB live, 70.9MiB allocated; 19ms collecting garbage
Stop Event
1×done
Compiler

Compiled 37 to 17 computations (54.1% saved)

preprocess19.0ms (0.5%)

Memory
7.6MiB live, 52.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 84 to 42 computations (50% saved)

end0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Profiling

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