Examples.Basics.BasicTests:f2 from sbv-4.4

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample858.0ms (39.1%)

Memory
16.8MiB live, 1 031.3MiB allocated; 216ms collecting garbage
Samples
544.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-mult: 205.0ms (83.2% of total)
ival-sub: 37.0ms (15% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain107.0ms (4.9%)

Memory
-22.9MiB live, 68.0MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-0-(-.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 y y))nan-rescue130
↳(*.f64 x x)overflow51
↳(*.f64 y y)overflow62
Confusion
Predicted +Predicted -
+130
-0243
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1300
-00243
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0243
113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.8% of total)
ival-sub: 2.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess135.0ms (6.2%)

Memory
0.4MiB live, 141.5MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
15142
222342
338642
495042
5195542
6295942
7329942
8337742
9337742
10357042
057
087
1217
2817
32237
44037
58367
613857
720697
828987
932087
1032707
1132707
1233487
033487
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (-.f64 x y) (+.f64 y x))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.9%
(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify68.0ms (3.1%)

Memory
38.2MiB live, 84.7MiB allocated; 3ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
12115
28115
322315
440315
583615
6138515
7206915
8289815
9320815
10327015
11327015
12334815
0334815
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 x x)
x
(*.f64 y y)
y

localize56.0ms (2.5%)

Memory
-36.4MiB live, 78.4MiB allocated; 9ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy2.8945188649812352
(-.f64 (*.f64 x x) (*.f64 y y))
Samples
40.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78.1% of total)
ival-sub: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
3 → 8
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
Calls

6 calls:

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

simplify219.0ms (10%)

Memory
15.8MiB live, 286.1MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
165109
2325109
32580109
08368108
Stop Event
1×iter limit
1×node limit
Counts
8 → 8
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
Outputs
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* y y)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) (neg.f64 x)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* y y) (*.f64 y y))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (- (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (*.f64 y y)))

rewrite99.0ms (4.5%)

Memory
-10.4MiB live, 190.5MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13713
032913
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 73
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (neg.f64 x) (fabs.f64 y)) (-.f64 (neg.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 (fabs.f64 x) (neg.f64 y)) (-.f64 (fabs.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) (fabs.f64 y)) (-.f64 (fabs.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) y) (-.f64 (fabs.f64 x) y))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 x (fabs.f64 y)) (-.f64 x (fabs.f64 y)))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval16.0ms (0.7%)

Memory
-20.5MiB live, 37.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 898 to 187 computations (79.2% saved)

prune2.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New78280
Fresh000
Picked101
Done000
Total79281
Accuracy
100.0%
Counts
81 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.1%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
▶54.3%
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify69.0ms (3.1%)

Memory
-7.7MiB live, 85.4MiB allocated; 6ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
01334
12634
28434
322534
440434
583534
6138434
7206834
8289534
9320534
10326734
11326734
12334534
0334534
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

localize28.0ms (1.3%)

Memory
34.9MiB live, 76.8MiB allocated; 7ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 y) y)
accuracy0.0
(neg.f64 y)
accuracy29.374734206195946
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
accuracy0.0
(*.f64 x x)
accuracy29.24160933269551
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Samples
22.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (61.4% of total)
ival-sub: 1.0ms (12.3% of total)
ival-neg: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (1%)

Memory
-16.2MiB live, 34.9MiB allocated; 16ms collecting garbage
Counts
5 → 9
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
((- (* x x) (* y y)) (* x x) (- (* x x) (* y y)) (* (neg y) y) (neg y))
1.0ms
y
@inf
((- (* x x) (* y y)) (* x x) (- (* x x) (* y y)) (* (neg y) y) (neg y))
1.0ms
y
@-inf
((- (* x x) (* y y)) (* x x) (- (* x x) (* y y)) (* (neg y) y) (neg y))
1.0ms
y
@0
((- (* x x) (* y y)) (* x x) (- (* x x) (* y y)) (* (neg y) y) (neg y))
0.0ms
x
@inf
((- (* x x) (* y y)) (* x x) (- (* x x) (* y y)) (* (neg y) y) (neg y))

simplify202.0ms (9.2%)

Memory
10.2MiB live, 281.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032117
170116
2335116
33259116
08597115
Stop Event
1×iter limit
1×node limit
Counts
9 → 9
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
Outputs
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) (*.f64 y (neg.f64 y)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* y y)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) (neg.f64 x)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (neg y) y) (*.f64 y (neg.f64 y)))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (neg y) (neg.f64 y))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (- (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y)))

rewrite55.0ms (2.5%)

Memory
21.0MiB live, 67.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01332
14232
032432
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 24
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(neg.f64 y)

eval12.0ms (0.6%)

Memory
-44.4MiB live, 12.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 425 to 87 computations (79.5% saved)

prune3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh000
Picked022
Done000
Total31233
Accuracy
100.0%
Counts
33 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.1%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
✓54.3%
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Compiler

Compiled 53 to 27 computations (49.1% saved)

regimes8.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(-.f64 (*.f64 x x) (*.f64 y y))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Calls

5 calls:

2.0ms
y
2.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
97.3%2(*.f64 y y)
97.7%2(*.f64 x x)
97.7%2(-.f64 (*.f64 x x) (*.f64 y y))
97.7%2x
97.3%2y
Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.2%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
82.9%2(*.f64 x x)
97.7%2(-.f64 (*.f64 x x) (*.f64 y y))
82.9%2x
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes49.0ms (2.2%)

Memory
-33.8MiB live, 11.9MiB allocated; 6ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

44.0ms
y
1.0ms
(*.f64 y y)
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
54.3%1(*.f64 x x)
54.3%1x
54.3%1(*.f64 y y)
54.3%1y
54.3%1(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch10.0ms (0.4%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.3800870199187034e+151
3.208865680725636e+153
Samples
4.0ms112×0valid
Compiler

Compiled 136 to 108 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (48% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.29241e-318
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

simplify63.0ms (2.9%)

Memory
-9.6MiB live, 34.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01866
13866
210366
324666
442666
585566
6140666
7209066
8292966
9323966
10330166
11330166
12337966
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 3200000000000000148003460348934383168039240716642326031740439270440721720120948829548269436230509604223669198415670098909420726064526137492312064291504128 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Outputs
(if (<=.f64 x #s(literal 3200000000000000148003460348934383168039240716642326031740439270440721720120948829548269436230509604223669198415670098909420726064526137492312064291504128 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))

derivations64.0ms (2.9%)

Memory
39.0MiB live, 82.6MiB allocated; 9ms collecting garbage
Stop Event
1×done
Compiler

Compiled 66 to 18 computations (72.7% saved)

preprocess41.0ms (1.9%)

Memory
-24.2MiB live, 34.4MiB allocated; 31ms collecting garbage
Remove

(abs y)

Compiler

Compiled 278 to 118 computations (57.6% saved)

end0.0ms (0%)

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

Profiling

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