Henrywood and Agarwal, Equation (3)

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze325.0ms (13.4%)

Memory
-12.5MiB live, 265.2MiB allocated; 422ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
12.5%12.5%87.3%0.2%0%0%0%7
18.8%18.7%81.1%0.2%0%0%0%8
28.6%28.1%70.2%0.2%0%1.6%0%9
28.6%28.1%70.2%0.2%0%1.6%0%10
28.8%28.1%69.4%0.2%0%2.3%0%11
36.1%32.7%58.1%0.2%0%9%0%12
Compiler

Compiled 10 to 10 computations (0% saved)

sample1.7s (68.4%)

Memory
92.2MiB live, 1 647.2MiB allocated; 891ms collecting garbage
Samples
748.0ms8 256×0valid
392.0ms6 767×0invalid
Precisions
Click to see histograms. Total time spent on operations: 703.0ms
ival-div: 383.0ms (54.5% of total)
ival-mult: 214.0ms (30.4% of total)
ival-sqrt: 96.0ms (13.7% of total)
ival-assert: 5.0ms (0.7% of total)
adjust: 4.0ms (0.6% of total)
Bogosity

explain85.0ms (3.5%)

Memory
-22.6MiB live, 130.9MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-3(2.7534903476394636e-154 1.8370654114154164e-128 -2.9917589661088907e+223 -1.2610511113065113e-39)(sqrt.f64 (/.f64 A (*.f64 V l)))
330-3(-8.348203918863964e+94 9.915552003375147e-137 4.516102054273899e-12 3.497924350555785e-305)(/.f64 A (*.f64 V l))
30-1(-1.1910735328389697e+214 9.543448832029622e-58 1.787054702662544e+271 6.181414363723127e+297)(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
00-0-A
00-0-(*.f64 V l)
00-0-V
00-0-l
00-0-c0
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))oflow-rescue350
↳(sqrt.f64 (/.f64 A (*.f64 V l)))overflow3
↳(/.f64 A (*.f64 V l))overflow38
↳(*.f64 V l)overflow37
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))uflow-rescue310
↳(sqrt.f64 (/.f64 A (*.f64 V l)))underflow7
↳(/.f64 A (*.f64 V l))underflow38
↳(*.f64 V l)underflow28
/.f64(/.f64 A (*.f64 V l))n/o180
↳(*.f64 V l)overflow37
/.f64(/.f64 A (*.f64 V l))n/u120
↳(*.f64 V l)underflow28
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*o10
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*u10
Confusion
Predicted +Predicted -
+714
-27154
Precision
0.7244897959183674
Recall
0.9466666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+7104
-270154
Precision?
0.7244897959183674
Recall?
0.9466666666666667
Freqs
test
numberfreq
0158
198
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (47.9% of total)
ival-div: 4.0ms (27.4% of total)
ival-sqrt: 3.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (1%)

Memory
40.4MiB live, 40.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051130
1102130
2126130
3164130
4212130
5271130
6337130
7400130
8472130
9487130
10502130
088
0128
1168
2188
0188
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
Symmetry

(negabs c0)

(sort V l)

Compiler

Compiled 8 to 8 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 8 to 8 computations (0% saved)

series22.0ms (0.9%)

Memory
-11.5MiB live, 35.2MiB allocated; 3ms collecting garbage
Counts
8 → 12
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
c0
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
A
(*.f64 V l)
V
l
Outputs
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ A (* V l)) #s(hole binary64 (/ A (* V l))))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (* V l) #s(hole binary64 (* V l)))
#s(approx V #s(hole binary64 V))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx l #s(hole binary64 l))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
l
@0
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms
A
@-inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms
c0
@0
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms
A
@inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms
V
@-inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)

rewrite30.0ms (1.2%)

Memory
-3.0MiB live, 43.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034170
039156
079156
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
20 → 26
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
c0
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
A
(*.f64 V l)
V
l
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ A (* V l)) #s(hole binary64 (/ A (* V l))))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (* V l) #s(hole binary64 (* V l)))
#s(approx V #s(hole binary64 V))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx l #s(hole binary64 l))
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/.f64 (/.f64 A V) l)
(/.f64 (neg.f64 A) (neg.f64 (*.f64 l V)))
(/.f64 A (*.f64 l V))
A
(*.f64 l V)
(*.f64 V l)
V
l
#s(approx (* c0 (sqrt (/ A (* V l)))) (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))
#s(approx c0 c0)
#s(approx (sqrt (/ A (* V l))) (sqrt.f64 (/.f64 A (*.f64 l V))))
#s(approx (/ A (* V l)) (/.f64 A (*.f64 l V)))
#s(approx A A)
#s(approx (* c0 (sqrt (/ A (* V l)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V))))))
#s(approx (sqrt (/ A (* V l))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (*.f64 l V))))))
#s(approx (* V l) (*.f64 l V))
#s(approx V V)
#s(approx (* c0 (sqrt (/ A (* V l)))) (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))
#s(approx (sqrt (/ A (* V l))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (*.f64 l V)))))
#s(approx l l)

eval2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 288 to 71 computations (75.3% saved)

prune5.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh000
Picked011
Done000
Total24327
Accuracy
86.4%
Counts
27 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
▶73.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 25 to 25 computations (0% saved)

series17.0ms (0.7%)

Memory
-25.3MiB live, 24.5MiB allocated; 5ms collecting garbage
Counts
8 → 12
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
c0
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
A
V
l
Outputs
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (/ A V) l) #s(hole binary64 (/ A (* V l))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx V #s(hole binary64 V))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx l #s(hole binary64 l))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
c0
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l)
2.0ms
A
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l)
1.0ms
V
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l)
1.0ms
A
@inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l)
1.0ms
l
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l)

rewrite19.0ms (0.8%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037170
042156
096156
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
20 → 28
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
c0
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
A
V
l
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (/ A V) l) #s(hole binary64 (/ A (* V l))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx V #s(hole binary64 V))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx l #s(hole binary64 l))
Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
c0
(pow.f64 (/.f64 (/.f64 A V) l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (neg.f64 (/.f64 A V)) (neg.f64 l))
(/.f64 (neg.f64 A) (neg.f64 (*.f64 l V)))
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 l V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
A
V
l
#s(approx (* c0 (sqrt (/ (/ A V) l))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (sqrt (/ (/ A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (/ (/ A V) l) (/.f64 (/.f64 A V) l))
#s(approx (/ A V) (/.f64 A V))
#s(approx A A)
#s(approx (* c0 (sqrt (/ (/ A V) l))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ (/ A V) l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx V V)
#s(approx (* c0 (sqrt (/ (/ A V) l))) (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (/ (/ A V) l)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx l l)

eval2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 309 to 81 computations (73.8% saved)

prune8.0ms (0.3%)

Memory
-36.3MiB live, 10.2MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New27128
Fresh011
Picked011
Done011
Total27431
Accuracy
93.1%
Counts
31 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶38.0%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓73.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 34 to 34 computations (0% saved)

series15.0ms (0.6%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
9 → 13
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
c0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
A
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
Outputs
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx l #s(hole binary64 l))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
V
@-inf
((* c0 (/ (sqrt A) (sqrt (* l V)))) c0 (/ (sqrt A) (sqrt (* l V))) (sqrt A) A (sqrt (* l V)) (* l V) l V)
2.0ms
l
@-inf
((* c0 (/ (sqrt A) (sqrt (* l V)))) c0 (/ (sqrt A) (sqrt (* l V))) (sqrt A) A (sqrt (* l V)) (* l V) l V)
2.0ms
A
@-inf
((* c0 (/ (sqrt A) (sqrt (* l V)))) c0 (/ (sqrt A) (sqrt (* l V))) (sqrt A) A (sqrt (* l V)) (* l V) l V)
1.0ms
l
@inf
((* c0 (/ (sqrt A) (sqrt (* l V)))) c0 (/ (sqrt A) (sqrt (* l V))) (sqrt A) A (sqrt (* l V)) (* l V) l V)
1.0ms
V
@inf
((* c0 (/ (sqrt A) (sqrt (* l V)))) c0 (/ (sqrt A) (sqrt (* l V))) (sqrt A) A (sqrt (* l V)) (* l V) l V)

rewrite23.0ms (0.9%)

Memory
-25.4MiB live, 20.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045168
052146
0127146
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
22 → 32
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
c0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
A
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx l #s(hole binary64 l))
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
c0
(pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(pow.f64 A #s(literal 1/2 binary64))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(pow.f64 (*.f64 V l) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 V l))
(*.f64 V l)
(*.f64 l V)
l
V
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
#s(approx c0 c0)
#s(approx (/ (sqrt A) (sqrt (* l V))) (sqrt.f64 (/.f64 A (*.f64 V l))))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx A A)
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 V l))))))
#s(approx (/ (sqrt A) (sqrt (* l V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx (sqrt (* l V)) (sqrt.f64 (*.f64 V l)))
#s(approx (* l V) (*.f64 V l))
#s(approx V V)
#s(approx (sqrt (* l V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l)))))
#s(approx l l)

eval2.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 363 to 93 computations (74.4% saved)

prune5.0ms (0.2%)

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New30232
Fresh011
Picked011
Done022
Total30636
Accuracy
93.8%
Counts
36 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
65.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶24.7%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓38.0%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓73.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 53 to 53 computations (0% saved)

series14.0ms (0.6%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
10 → 16
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
c0
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
Outputs
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt V) #s(hole binary64 (* -1 (* (sqrt V) (pow (sqrt -1) 2)))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx l #s(hole binary64 l))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
l
@-inf
((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V)
2.0ms
V
@-inf
((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V)
2.0ms
A
@-inf
((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V)
1.0ms
V
@inf
((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V)
1.0ms
l
@inf
((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V)

rewrite74.0ms (3%)

Memory
-28.1MiB live, 18.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054205
060166
0146166
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
26 → 38
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
c0
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt V) #s(hole binary64 (* -1 (* (sqrt V) (pow (sqrt -1) 2)))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx l #s(hole binary64 l))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
c0
(pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(pow.f64 A #s(literal 1/2 binary64))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(pow.f64 (*.f64 V l) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 V l))
(pow.f64 l #s(literal 1/2 binary64))
(sqrt.f64 l)
l
(pow.f64 V #s(literal 1/2 binary64))
(sqrt.f64 V)
V
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
#s(approx c0 c0)
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 A (*.f64 V l))))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx A A)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 V l))))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx (* (sqrt l) (sqrt V)) (sqrt.f64 (*.f64 V l)))
#s(approx (sqrt V) (sqrt.f64 V))
#s(approx V V)
#s(approx (* (sqrt l) (sqrt V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l)))))
#s(approx (sqrt V) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 V))))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx l l)
#s(approx (sqrt l) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 l))))

eval2.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 460 to 117 computations (74.6% saved)

prune6.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New37138
Fresh022
Picked101
Done033
Total38644
Accuracy
93.8%
Counts
44 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
24.8%
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
65.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓38.0%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓73.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 116 to 84 computations (27.6% saved)

regimes20.0ms (0.8%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Accuracy

Total -45.0b remaining (-572.9%)

Threshold costs -45b (-572.9%)

Counts
7 → 4
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

8 calls:

3.0ms
l
3.0ms
A
2.0ms
V
2.0ms
c0
2.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
87.7%4(*.f64 V l)
84.0%3(/.f64 A (*.f64 V l))
84.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
83.9%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
75.8%2c0
80.5%2A
79.4%2V
83.8%2l
Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.5796983e-316
1.4581685747641942e-289
0.0ms
-1.6173402772882466e-152
-1.4038088657571687e-154
0.0ms
-inf
-1.4885717880041464e+306
Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify28.0ms (1.2%)

Memory
-35.6MiB live, 13.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02753
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 40480451/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
Outputs
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 40480451/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))

derivations2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 53 to 27 computations (49.1% saved)

preprocess33.0ms (1.4%)

Memory
-1.0MiB live, 43.8MiB allocated; 6ms collecting garbage
Remove

(negabs c0)

Compiler

Compiled 440 to 232 computations (47.3% saved)

end0.0ms (0%)

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

Profiling

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