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

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze24.0ms (0.5%)

Memory
-35.6MiB live, 11.6MiB allocated; 21ms 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)

sample689.0ms (14.2%)

Memory
61.0MiB live, 881.3MiB allocated; 337ms collecting garbage
Samples
449.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 64.0ms (45.6% of total)
ival-div: 61.0ms (43.5% of total)
ival-true: 6.0ms (4.3% of total)
exact: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.1% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

explain3.8s (78.2%)

Memory
-341.8MiB live, 163.1MiB allocated; 4.5s collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 y #s(literal 3 binary64))
00-0-y
00-0-#s(literal 3 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 3 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
3.7s512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.7% of total)
ival-mult: 4.0ms (47.7% 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 (0.5%)

Memory
4.0MiB live, 50.4MiB allocated; 6ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
13025
25525
38225
410325
511525
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
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune4.0ms (0.1%)

Memory
-44.7MiB live, 1.1MiB allocated; 7ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
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)

localize14.0ms (0.3%)

Memory
33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.15625
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Samples
9.0ms256×0valid
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 (51.7% of total)
ival-mult: 2.0ms (51.7% 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)

series24.0ms (0.5%)

Memory
-40.4MiB live, 10.6MiB allocated; 29ms 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
19.0ms
y
@0
((/ x (* y 3)) (* y 3))
2.0ms
y
@-inf
((/ x (* y 3)) (* y 3))
1.0ms
y
@inf
((/ x (* y 3)) (* y 3))
1.0ms
x
@inf
((/ x (* y 3)) (* y 3))
1.0ms
x
@0
((/ x (* y 3)) (* y 3))

simplify3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
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)

rewrite15.0ms (0.3%)

Memory
26.7MiB live, 26.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1138
2328
3688
4868
0868
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%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 87 to 36 computations (58.6% saved)

prune1.0ms (0%)

Memory
3.4MiB live, 3.4MiB 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)
✓99.8%
(/.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)

simplify9.0ms (0.2%)

Memory
-39.6MiB live, 7.0MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
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)

localize36.0ms (0.7%)

Memory
27.9MiB live, 73.5MiB allocated; 7ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.19140625
(/.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)))
accuracy0.26953125
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (42.7% of total)
ival-mult: 7.0ms (37.4% of total)
const: 3.0ms (16% 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)

series4.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms 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
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
x
@0
((/ 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
@0
((/ x (* y 3)) (* (/ x y) 1/3) (/ x y) (/ (/ x 3) y) (/ x 3) (/ (/ x y) 3))

simplify4.0ms (0.1%)

Memory
7.9MiB live, 7.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
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)

rewrite15.0ms (0.3%)

Memory
-21.7MiB live, 24.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01732
13432
28032
313332
415332
515532
015532
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 (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 294 to 72 computations (75.5% saved)

prune3.0ms (0.1%)

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New30232
Fresh000
Picked123
Done011
Total31536
Accuracy
100.0%
Counts
36 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)
✓99.8%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
▶99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Compiler

Compiled 41 to 36 computations (12.2% saved)

simplify4.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
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

localize72.0ms (1.5%)

Memory
-32.6MiB live, 68.8MiB allocated; 54ms 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)
accuracy0.2890625
(*.f64 #s(literal 1/3 binary64) x)
accuracy0.0
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
accuracy0.24609375
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy0.328125
(/.f64 #s(literal 1/3 binary64) y)
Samples
62.0ms256×0valid
Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 44.0ms (84.1% of total)
ival-mult: 5.0ms (9.6% of total)
const: 3.0ms (5.7% 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 (0.1%)

Memory
7.9MiB live, 7.9MiB 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
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
@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 (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
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)

rewrite12.0ms (0.2%)

Memory
-25.9MiB live, 20.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
01738
13538
27238
313938
416338
516438
016438
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) y)
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 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 (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 298 to 70 computations (76.5% saved)

prune4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New27027
Fresh000
Picked022
Done033
Total27532
Accuracy
100.0%
Counts
32 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)
✓99.8%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))
✓99.6%
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Compiler

Compiled 87 to 58 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory
24.9MiB live, 24.9MiB 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 x (*.f64 y #s(literal 3 binary64)))
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.8%1(*.f64 y #s(literal 3 binary64))
99.8%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.8%1x
99.8%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.1%)

Memory
-30.5MiB live, 16.6MiB allocated; 2ms collecting garbage
Accuracy

Total -0.1b remaining (-47.8%)

Threshold costs -0.1b (-47.8%)

Counts
2 → 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)))
Outputs
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Calls

4 calls:

3.0ms
y
1.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
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)

simplify9.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11416
21616
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
#s(approx (/ x (* y 3)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))

derivations15.0ms (0.3%)

Memory
-30.5MiB live, 18.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01732
13432
28032
313332
415332
515532
015532
078
1118
2138
3158
4168
0168
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×saturated
1×iter limit
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess41.0ms (0.8%)

Memory
33.3MiB live, 78.4MiB allocated; 7ms collecting garbage
Remove

(negabs x)

(negabs y)

Compiler

Compiled 92 to 84 computations (8.7% saved)

end0.0ms (0%)

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

Profiling

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