Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze11.0ms (0.8%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample852.0ms (67.7%)

Memory
8.5MiB live, 1 263.5MiB allocated; 432ms collecting garbage
Samples
517.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-mult: 89.0ms (49.9% of total)
ival-div: 72.0ms (40.4% of total)
ival-true: 6.0ms (3.4% of total)
exact: 6.0ms (3.4% of total)
ival-assert: 3.0ms (1.7% of total)
adjust: 2.0ms (1.1% of total)
Bogosity

explain49.0ms (3.9%)

Memory
9.6MiB live, 102.4MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 x (*.f64 y #s(literal 3 binary64)))
00-0-(*.f64 y #s(literal 3 binary64))
00-0-y
00-0-#s(literal 3 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y #s(literal 3 binary64)))n/o10
↳(*.f64 y #s(literal 3 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.9% of total)
ival-div: 4.0ms (39.9% 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)

preprocess22.0ms (1.7%)

Memory
-9.3MiB live, 40.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
13025
25525
38225
411125
512925
055
075
1105
2125
0125
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.3%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21211
01211
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)

localize16.0ms (1.3%)

Memory
-16.4MiB live, 30.0MiB allocated; 3ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.4481496373055816
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.8% of total)
ival-mult: 2.0ms (48.8% 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)

series6.0ms (0.5%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
Outputs
(* 1/3 (/ x y))
(* 3 y)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
((/ x (* y 3)) (* y 3))
1.0ms
y
@-inf
((/ x (* y 3)) (* y 3))
1.0ms
y
@0
((/ x (* y 3)) (* y 3))
1.0ms
x
@inf
((/ x (* y 3)) (* y 3))
1.0ms
y
@inf
((/ x (* y 3)) (* y 3))

simplify3.0ms (0.3%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1118
2138
3158
4168
0168
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* 1/3 (/ x y))
(* 3 y)
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

rewrite17.0ms (1.4%)

Memory
-12.9MiB live, 32.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1138
2328
3698
4858
0858
Stop Event
1×iter limit
1×saturated
1×iter limit
Counts
2 → 12
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 x #s(literal -3 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 y))
(*.f64 #s(literal 3 binary64) y)
(neg.f64 (*.f64 y #s(literal -3 binary64)))

eval1.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 87 to 36 computations (58.6% saved)

prune1.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11314
Fresh000
Picked011
Done000
Total11415
Accuracy
100.0%
Counts
15 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify4.0ms (0.3%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) #s(literal 3 binary64))
cost-diff0
(/.f64 x #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff0
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
01744
12244
22644
32744
02744
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 #s(literal 1/3 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(/.f64 x y)
x
y
#s(literal 3 binary64)

localize35.0ms (2.7%)

Memory
31.5MiB live, 77.4MiB allocated; 4ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.171875
(/.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy0.0
(/.f64 x #s(literal 3 binary64))
accuracy0.171875
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
accuracy0.0
(/.f64 x y)
accuracy0.0
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
accuracy0.2734375
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
Samples
27.0ms256×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 8.0ms (51.4% of total)
ival-mult: 3.0ms (19.3% of total)
const: 3.0ms (19.3% 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)

series18.0ms (1.4%)

Memory
-37.7MiB live, 11.2MiB allocated; 35ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Outputs
(* 1/3 (/ x y))
(/ x y)
(* 1/3 x)
Calls

6 calls:

TimeVariablePointExpression
14.0ms
x
@0
((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) (/ (/ x 3) y) (/ x 3) (/ (/ x y) 3))
1.0ms
x
@-inf
((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) (/ (/ x 3) y) (/ x 3) (/ (/ x y) 3))
1.0ms
x
@inf
((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) (/ (/ x 3) y) (/ x 3) (/ (/ x y) 3))
1.0ms
y
@-inf
((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) (/ (/ x 3) y) (/ x 3) (/ (/ x y) 3))
0.0ms
y
@inf
((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) (/ (/ x 3) y) (/ x 3) (/ (/ x y) 3))

simplify3.0ms (0.3%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1911
21111
31211
01211
Stop Event
1×iter limit
1×saturated
Counts
3 → 3
Calls
Call 1
Inputs
(* 1/3 (/ x y))
(/ x y)
(* 1/3 x)
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)

rewrite10.0ms (0.8%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01732
13432
28332
313532
415532
515732
015732
Stop Event
1×iter limit
1×saturated
1×iter limit
Counts
6 → 32
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Outputs
#s(approx (/ x (* y 3)) (*.f64 #s(literal 1/3 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (/.f64 x #s(literal -3 binary64)) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) y))
(/.f64 (neg.f64 x) #s(literal -3 binary64))
(/.f64 x #s(literal 3 binary64))
(neg.f64 (/.f64 x #s(literal -3 binary64)))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (/.f64 x #s(literal -3 binary64)) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) y))

eval3.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 294 to 72 computations (75.5% saved)

prune8.0ms (0.6%)

Memory
-35.7MiB live, 10.6MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New30232
Fresh000
Picked033
Done011
Total30636
Accuracy
100.0%
Counts
36 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
▶99.6%
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
✓99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
▶99.5%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Compiler

Compiled 46 to 41 computations (10.9% saved)

simplify4.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
cost-diff0
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
01744
12344
22544
32644
02644
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
y
Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
y

localize36.0ms (2.9%)

Memory
22.2MiB live, 67.8MiB allocated; 5ms collecting garbage
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
accuracy0.171875
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
accuracy0.3515625
(*.f64 #s(literal 1/3 binary64) x)
accuracy0.0
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
accuracy0.19921875
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy0.44140625
(/.f64 #s(literal 1/3 binary64) y)
Samples
29.0ms256×0valid
Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (45.3% of total)
ival-mult: 5.0ms (32.3% of total)
const: 3.0ms (19.4% 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)

series3.0ms (0.3%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(* 1/3 (/ x y))
(* 1/3 x)
(/ 1/3 y)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) (/ (/ x 3) y) (/ x 3) (* 1/3 x))
1.0ms
y
@-inf
((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) (/ (/ x 3) y) (/ x 3) (* 1/3 x))
1.0ms
x
@-inf
((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) (/ (/ x 3) y) (/ x 3) (* 1/3 x))
0.0ms
x
@0
((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) (/ (/ x 3) y) (/ x 3) (* 1/3 x))
0.0ms
y
@0
((/ x (* y 3)) (* (/ 1/3 y) x) (/ 1/3 y) (/ (/ x 3) y) (/ x 3) (* 1/3 x))

simplify3.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21111
31211
01211
Stop Event
1×iter limit
1×saturated
Counts
3 → 3
Calls
Call 1
Inputs
(* 1/3 (/ x y))
(* 1/3 x)
(/ 1/3 y)
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)

rewrite16.0ms (1.3%)

Memory
-35.8MiB live, 9.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
01738
13538
27638
314238
415838
515838
015838
Stop Event
1×iter limit
1×saturated
1×iter limit
Counts
6 → 25
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 y))
(/.f64 #s(literal 1/3 binary64) y)
(neg.f64 (/.f64 #s(literal -1/3 binary64) y))
(/.f64 (neg.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))) (neg.f64 y))
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
(neg.f64 (/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) (neg.f64 y)))
#s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))
(neg.f64 (neg.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(neg.f64 (*.f64 #s(literal -1/3 binary64) x))

eval2.0ms (0.2%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 298 to 70 computations (76.5% saved)

prune4.0ms (0.3%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New27027
Fresh000
Picked022
Done044
Total27633
Accuracy
100.0%
Counts
33 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓99.6%
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
✓99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
✓99.5%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Compiler

Compiled 92 to 63 computations (31.5% saved)

regimes10.0ms (0.8%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
Calls

4 calls:

2.0ms
y
2.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
x
2.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.7%1(*.f64 y #s(literal 3 binary64))
99.7%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.7%1x
99.7%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes16.0ms (1.3%)

Memory
-32.7MiB live, 19.4MiB allocated; 15ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
Outputs
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
Calls

4 calls:

10.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
2.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
99.6%1(*.f64 y #s(literal 3 binary64))
99.6%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.6%1x
99.6%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.5%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
Calls

4 calls:

2.0ms
y
2.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
x
1.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.6%1(*.f64 y #s(literal 3 binary64))
99.6%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.6%1x
99.6%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Calls

4 calls:

1.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
1.0ms
y
1.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
99.5%1(*.f64 y #s(literal 3 binary64))
99.5%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.5%1x
99.5%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify16.0ms (1.3%)

Memory
-23.5MiB live, 20.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01836
12136
22236
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x)) y)
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

derivations33.0ms (2.7%)

Memory
-2.3MiB live, 40.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1138
2328
3698
4858
0858
0611
1911
21111
31211
01211
078
1118
2138
3158
4168
0168
01232
01732
13432
28332
313532
415532
515732
015732
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×iter limit
1×saturated
1×iter limit
1×saturated
1×iter limit
1×saturated
1×iter limit
Compiler

Compiled 36 to 19 computations (47.2% saved)

preprocess40.0ms (3.2%)

Memory
23.3MiB live, 66.8MiB allocated; 28ms collecting garbage
Remove

(negabs x)

(negabs y)

Compiler

Compiled 112 to 78 computations (30.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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