Henrywood and Agarwal, Equation (3)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze373.0ms (12.8%)

Memory
2.6MiB live, 530.4MiB allocated; 98ms 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)

sample2.0s (69.4%)

Memory
53.2MiB live, 3 086.6MiB allocated; 545ms collecting garbage
Samples
685.0ms6 898×0invalid
685.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 545.0ms
ival-mult: 267.0ms (49% of total)
ival-div: 151.0ms (27.7% of total)
ival-sqrt: 117.0ms (21.5% of total)
ival-assert: 5.0ms (0.9% of total)
adjust: 4.0ms (0.7% of total)
Bogosity

explain75.0ms (2.6%)

Memory
-3.4MiB live, 136.9MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-1(1.0499578070064538e+48 1.9489924337403966e+255 -1.199650257657687e+274 -1.7002140354940386e+303)(sqrt.f64 (/.f64 A (*.f64 V l)))
230-2(2.1414299428446443e-308 -8.220933758908525e-293 -1.1969384987262226e-222 7.031023909958651e-96)(/.f64 A (*.f64 V l))
91(1.6032783825413614e+22 -6.149349594816676e-270 -2.5914640663954717e+116 6.387072525759898e+304)3(8.615851454931318e+188 -8.15389125641457e-102 1.5618385268911e+237 -3.546692025851675e+302)(*.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-rescue360
↳(sqrt.f64 (/.f64 A (*.f64 V l)))overflow8
↳(/.f64 A (*.f64 V l))overflow44
↳(*.f64 V l)overflow38
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))uflow-rescue330
↳(sqrt.f64 (/.f64 A (*.f64 V l)))underflow6
↳(/.f64 A (*.f64 V l))underflow39
↳(*.f64 V l)underflow31
/.f64(/.f64 A (*.f64 V l))n/o120
↳(*.f64 V l)overflow38
/.f64(/.f64 A (*.f64 V l))n/u90
↳(*.f64 V l)underflow31
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*u50
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*o20
Confusion
Predicted +Predicted -
+742
-23157
Precision
0.7628865979381443
Recall
0.9736842105263158
Confusion?
Predicted +Predicted MaybePredicted -
+7402
-230157
Precision?
0.7628865979381443
Recall?
0.9736842105263158
Freqs
test
numberfreq
0159
197
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
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 (47.2% of total)
ival-div: 4.0ms (26.9% of total)
ival-sqrt: 3.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (0.8%)

Memory
-12.0MiB live, 39.3MiB allocated; 5ms 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
▶72.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 8 to 8 computations (0% saved)

series20.0ms (0.7%)

Memory
-11.6MiB live, 34.6MiB 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
@inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms
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
V
@-inf
((* 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)

rewrite25.0ms (0.9%)

Memory
42.3MiB live, 42.3MiB allocated; 0ms 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)

eval5.0ms (0.2%)

Memory
-41.1MiB live, 5.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 288 to 71 computations (75.3% saved)

prune3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh000
Picked011
Done000
Total24327
Accuracy
84.6%
Counts
27 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶41.1%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
▶72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 25 to 25 computations (0% saved)

series19.0ms (0.6%)

Memory
-10.0MiB live, 36.7MiB allocated; 2ms collecting garbage
Counts
13 → 21
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
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
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 (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) 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 (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt 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 (* 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 V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#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 (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
4.0ms
l
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
3.0ms
V
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
2.0ms
A
@-inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
1.0ms
A
@inf
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
1.0ms
V
@0
((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))

rewrite21.0ms (0.7%)

Memory
33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061322
074286
0159286
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
34 → 55
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
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) 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 (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt 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 (* 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 V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#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 (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 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
c0
(pow.f64 (/.f64 (/.f64 A V) l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 l V))))
(/.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
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(pow.f64 (/.f64 (/.f64 A V) l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 l V))))
(/.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))
(pow.f64 A #s(literal 1/2 binary64))
(sqrt.f64 A)
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(pow.f64 (*.f64 l V) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
(*.f64 V l)
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 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 (sqrt (/ (/ A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (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 (* c0 (/ (sqrt A) (sqrt (* l V)))) (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 (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx V V)
#s(approx (sqrt (* l V)) (sqrt.f64 (*.f64 l V)))
#s(approx (* l V) (*.f64 l V))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.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 (sqrt (* l V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V)))))
#s(approx l l)

eval4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 559 to 140 computations (75% saved)

prune47.0ms (1.6%)

Memory
-61.4MiB live, 9.5MiB allocated; 73ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New48351
Fresh000
Picked022
Done011
Total48654
Accuracy
89.8%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.4%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
▶62.4%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶28.2%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓41.1%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 53 to 53 computations (0% saved)

series25.0ms (0.9%)

Memory
-2.5MiB live, 46.3MiB allocated; 5ms collecting garbage
Counts
18 → 33
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
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (sqrt.f64 A))
(sqrt.f64 (*.f64 l V))
(*.f64 l 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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* (sqrt A) 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 (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* -1 (* (sqrt A) (* c0 (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 V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A V)) (pow (sqrt -1) 2))))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (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
5.0ms
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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
5.0ms
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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
3.0ms
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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l 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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
1.0ms
c0
@-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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))

rewrite28.0ms (1%)

Memory
12.6MiB live, 52.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092514
0114431
0233431
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
51 → 89
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
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (sqrt.f64 A))
(sqrt.f64 (*.f64 l V))
(*.f64 l 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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* (sqrt A) 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 (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* -1 (* (sqrt A) (* c0 (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 V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#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 (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A V)) (pow (sqrt -1) 2))))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (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 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
c0
(pow.f64 (/.f64 (/.f64 A 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 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 (/.f64 (/.f64 A 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
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(pow.f64 (/.f64 (/.f64 A 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 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(pow.f64 (/.f64 A V) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 (/.f64 A V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 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))
(*.f64 V l)
(*.f64 l V)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (sqrt A)) (*.f64 (sqrt.f64 A) c0))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx A A)
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (/ A V) (/.f64 A V))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (sqrt A)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) #s(literal -1 binary64))))
#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)) (sqrt.f64 (*.f64 V l)))
#s(approx (* l V) (*.f64 V l))
#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 (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (/ A V)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V))))
#s(approx (* (sqrt l) (sqrt V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l)))))
#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))))

eval6.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 981 to 211 computations (78.5% saved)

prune4.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New82284
Fresh000
Picked033
Done033
Total82890
Accuracy
89.9%
Counts
90 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.5%
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓39.4%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
▶28.2%
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l)))
✓62.4%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓28.2%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓41.1%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 72 to 72 computations (0% saved)

series24.0ms (0.8%)

Memory
12.8MiB live, 55.9MiB allocated; 6ms collecting garbage
Counts
14 → 26
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l)))
c0
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 A)
A
(sqrt.f64 V)
V
(sqrt.f64 l)
l
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
Outputs
#s(approx (* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx (/ (/ (sqrt A) (sqrt V)) (sqrt l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (sqrt A) (sqrt V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx (* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (/ (sqrt A) (sqrt V)) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt A) (sqrt V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt V) #s(hole binary64 (* -1 (* (sqrt V) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A 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
7.0ms
c0
@-inf
((* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (/ (sqrt A) (sqrt V)) (sqrt A) A (sqrt V) V (sqrt l) l (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
3.0ms
V
@-inf
((* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (/ (sqrt A) (sqrt V)) (sqrt A) A (sqrt V) V (sqrt l) l (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
3.0ms
A
@-inf
((* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (/ (sqrt A) (sqrt V)) (sqrt A) A (sqrt V) V (sqrt l) l (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
2.0ms
A
@inf
((* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (/ (sqrt A) (sqrt V)) (sqrt A) A (sqrt V) V (sqrt l) l (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
2.0ms
l
@-inf
((* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (/ (sqrt A) (sqrt V)) (sqrt A) A (sqrt V) V (sqrt l) l (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))

rewrite48.0ms (1.6%)

Memory
-27.9MiB live, 62.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074390
087336
0181336
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
40 → 59
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l)))
c0
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 A)
A
(sqrt.f64 V)
V
(sqrt.f64 l)
l
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
#s(approx (* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx (/ (/ (sqrt A) (sqrt V)) (sqrt l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (sqrt A) (sqrt V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx (* c0 (/ (/ (sqrt A) (sqrt V)) (sqrt l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (/ (sqrt A) (sqrt V)) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt A) (sqrt V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt V) #s(hole binary64 (* -1 (* (sqrt V) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A 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 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
c0
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 V) (sqrt.f64 l)))
(pow.f64 (/.f64 A V) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 V)))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 (/.f64 A V))
(pow.f64 A #s(literal 1/2 binary64))
(sqrt.f64 A)
A
(pow.f64 V #s(literal 1/2 binary64))
(sqrt.f64 V)
V
(pow.f64 l #s(literal 1/2 binary64))
(sqrt.f64 l)
l
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
(pow.f64 (/.f64 A V) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 V)))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 (/.f64 A V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))
#s(approx c0 c0)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))
#s(approx (* c0 (sqrt (/ A V))) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
#s(approx (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (sqrt.f64 (/.f64 A (*.f64 l V))))
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx A A)
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (/ A V) (/.f64 A V))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V))))))
#s(approx (/ (/ (sqrt A) (sqrt V)) (sqrt l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (*.f64 l V))))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V))))))
#s(approx (* c0 (sqrt (/ A V))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A V)))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx (sqrt V) (sqrt.f64 V))
#s(approx V V)
#s(approx (sqrt V) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 V))))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))
#s(approx (* c0 (sqrt (/ A V))) (*.f64 (*.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A V))))
#s(approx (sqrt (/ A V)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A 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))))

eval4.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 720 to 161 computations (77.6% saved)

prune8.0ms (0.3%)

Memory
-25.6MiB live, 19.8MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New59059
Fresh000
Picked022
Done066
Total59867
Accuracy
89.9%
Counts
67 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.5%
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓39.4%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
✓28.2%
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l)))
✓62.4%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓28.2%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓41.1%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓72.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 144 to 104 computations (27.8% saved)

regimes22.0ms (0.8%)

Memory
30.7MiB live, 77.7MiB allocated; 1ms collecting garbage
Counts
8 → 5
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 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 c0 (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 V)) (sqrt.f64 l)))
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))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

8 calls:

3.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
3.0ms
A
3.0ms
l
3.0ms
c0
3.0ms
V
Results
AccuracySegmentsBranch
86.8%5(*.f64 V l)
80.5%3(/.f64 A (*.f64 V l))
80.5%3(sqrt.f64 (/.f64 A (*.f64 V l)))
80.0%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
75.2%2c0
79.7%2A
81.9%3V
80.1%2l
Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
4 → 5
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 l V)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.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 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

3 calls:

2.0ms
V
2.0ms
l
2.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
77.3%3l
77.0%3V
84.5%5(*.f64 V l)
Compiler

Compiled 5 to 13 computations (-160% saved)

regimes21.0ms (0.7%)

Memory
-31.8MiB live, 19.7MiB allocated; 15ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

5 calls:

15.0ms
(*.f64 V l)
1.0ms
A
1.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
1.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
79.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
78.9%3(/.f64 A (*.f64 V l))
78.9%3(sqrt.f64 (/.f64 A (*.f64 V l)))
72.8%1A
76.5%3(*.f64 V l)
Compiler

Compiled 23 to 30 computations (-30.4% saved)

regimes8.0ms (0.3%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

1.0ms
l
1.0ms
V
1.0ms
c0
1.0ms
(*.f64 V l)
1.0ms
A
Results
AccuracySegmentsBranch
72.5%1A
72.5%1(*.f64 V l)
72.5%1c0
72.5%1V
72.5%1l
72.5%1(/.f64 A (*.f64 V l))
72.5%1(sqrt.f64 (/.f64 A (*.f64 V l)))
72.5%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
4.261691357002443e+275
6.637983217834293e+280
0.0ms
-0.0
1.5361814027330908e-276
0.0ms
-4.830197123712115e-155
-1.4821105773421374e-157
0.0ms
-2.598025104431781e+179
-1.0652804081858685e+177
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch2.0ms (0.1%)

Memory
-47.5MiB live, 1.6MiB allocated; 2ms collecting garbage
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
4.261691357002443e+275
6.637983217834293e+280
0.0ms
-0.0
1.5361814027330908e-276
1.0ms
-3.0444073790937866e-135
-8.171175097608207e-150
0.0ms
-1.2508785788542475e+255
-1.846395199439114e+249
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.8972795567065389e+289
2.2803436938390353e+296
0.0ms
6.692976145664098e-296
4.203569972995038e-286
Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify11.0ms (0.4%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046172
152172
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 V l) #s(literal -199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -4830671903771573/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 V l) #s(literal -999999999999999988452569694641453289891412847766833896677368465428848130901034909295879619908945316559292587569958465674654992927728624557883489163749540246356891129106733591931304833693638565628182306078113383272782784390994049606075766012189756664840192 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal -1636695303948071/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Outputs
(if (<=.f64 (*.f64 V l) #s(literal -199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -4830671903771573/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 V l) #s(literal -999999999999999988452569694641453289891412847766833896677368465428848130901034909295879619908945316559292587569958465674654992927728624557883489163749540246356891129106733591931304833693638565628182306078113383272782784390994049606075766012189756664840192 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal -1636695303948071/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 V l) #s(literal -999999999999999988452569694641453289891412847766833896677368465428848130901034909295879619908945316559292587569958465674654992927728624557883489163749540246356891129106733591931304833693638565628182306078113383272782784390994049606075766012189756664840192 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal -1636695303948071/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (or (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (not (<=.f64 (*.f64 V l) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (or (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (not (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

derivations3.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 172 to 49 computations (71.5% saved)

preprocess54.0ms (1.8%)

Memory
-32.8MiB live, 108.7MiB allocated; 11ms collecting garbage
Remove

(negabs c0)

Compiler

Compiled 1 164 to 510 computations (56.2% saved)

end0.0ms (0%)

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

Profiling

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