Henrywood and Agarwal, Equation (3)

Time bar (total: 2.6s)

start0.0ms (0%)

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

analyze246.0ms (9.6%)

Memory
11.7MiB live, 391.4MiB allocated; 73ms 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)

sample1.8s (68.9%)

Memory
20.0MiB live, 2 139.8MiB allocated; 465ms collecting garbage
Samples
636.0ms6 855×0invalid
577.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 584.0ms
ival-mult: 309.0ms (52.9% of total)
ival-sqrt: 137.0ms (23.4% of total)
ival-div: 129.0ms (22.1% of total)
ival-assert: 5.0ms (0.9% of total)
adjust: 4.0ms (0.7% of total)
Bogosity

explain86.0ms (3.4%)

Memory
29.1MiB live, 75.2MiB allocated; 4ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
780-1(-2.3089616784515228e+36 -2.847233821070324e+242 -3.7958619242741534e+299 3.683861006251568e+265)(sqrt.f64 (/.f64 A (*.f64 V l)))
181(-2.3089616784515228e+36 -2.847233821070324e+242 -3.7958619242741534e+299 3.683861006251568e+265)2(-3.415246890348516e-6 -1.0056604952674552e-298 3.3961383025662594e-224 -4.606054475990295e-87)(/.f64 A (*.f64 V l))
60-0-(*.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-rescue430
↳(sqrt.f64 (/.f64 A (*.f64 V l)))overflow8
↳(/.f64 A (*.f64 V l))overflow51
↳(*.f64 V l)overflow27
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))uflow-rescue340
↳(sqrt.f64 (/.f64 A (*.f64 V l)))underflow3
↳(/.f64 A (*.f64 V l))underflow37
↳(*.f64 V l)underflow33
/.f64(/.f64 A (*.f64 V l))n/o110
↳(*.f64 V l)overflow27
/.f64(/.f64 A (*.f64 V l))n/u60
↳(*.f64 V l)underflow33
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*o40
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*u20
Confusion
Predicted +Predicted -
+722
-28154
Precision
0.72
Recall
0.972972972972973
Confusion?
Predicted +Predicted MaybePredicted -
+7202
-280154
Precision?
0.72
Recall?
0.972972972972973
Freqs
test
numberfreq
0156
1100
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
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 (46.7% of total)
ival-div: 4.0ms (26.7% of total)
ival-sqrt: 4.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess36.0ms (1.4%)

Memory
-14.6MiB live, 32.1MiB allocated; 3ms 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
▶73.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 8 to 8 computations (0% saved)

series25.0ms (1%)

Memory
-12.8MiB live, 30.3MiB allocated; 7ms 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
6.0ms
V
@inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
3.0ms
V
@-inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
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
A
@inf
((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)

rewrite32.0ms (1.2%)

Memory
-13.4MiB live, 36.5MiB allocated; 11ms 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
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 288 to 71 computations (75.3% saved)

prune3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh000
Picked011
Done000
Total24327
Accuracy
83.4%
Counts
27 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.8%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
▶71.3%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓73.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 25 to 25 computations (0% saved)

series21.0ms (0.8%)

Memory
-10.6MiB live, 35.0MiB allocated; 4ms 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
5.0ms
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))
4.0ms
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))
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
c0
@-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))

rewrite22.0ms (0.9%)

Memory
29.8MiB live, 29.8MiB 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 (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 559 to 140 computations (75% saved)

prune7.0ms (0.3%)

Memory
-37.8MiB live, 7.2MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New48351
Fresh000
Picked022
Done011
Total48654
Accuracy
91.3%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.3%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
▶63.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶25.2%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓39.8%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓71.3%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓73.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 53 to 53 computations (0% saved)

series28.0ms (1.1%)

Memory
7.6MiB live, 54.3MiB allocated; 2ms 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
6.0ms
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))
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))
3.0ms
c0
@0
((* 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
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))
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 (* 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))

rewrite25.0ms (1%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms 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))))

eval40.0ms (1.6%)

Memory
-40.0MiB live, 14.0MiB allocated; 44ms collecting garbage
Compiler

Compiled 981 to 211 computations (78.5% saved)

prune4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New82284
Fresh000
Picked033
Done033
Total82890
Accuracy
91.3%
Counts
90 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.7%
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓39.3%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
▶25.3%
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
✓63.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓25.2%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓39.8%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓71.3%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓73.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 72 to 72 computations (0% saved)

series21.0ms (0.8%)

Memory
34.6MiB live, 34.6MiB allocated; 0ms collecting garbage
Counts
14 → 26
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
c0
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (sqrt.f64 A) (sqrt.f64 l))
(sqrt.f64 A)
A
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(/.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 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 V))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx (/ (/ (sqrt A) (sqrt l)) (sqrt V)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (sqrt A) (sqrt l)) #s(hole binary64 (sqrt (/ A l))))
#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 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) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A 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 (* 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
3.0ms
A
@-inf
((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
3.0ms
V
@-inf
((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
2.0ms
l
@-inf
((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
2.0ms
A
@inf
((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
2.0ms
c0
@-inf
((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))

rewrite27.0ms (1.1%)

Memory
-30.6MiB live, 18.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078390
091336
0198336
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
40 → 56
Calls
Call 1
Inputs
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
c0
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (sqrt.f64 A) (sqrt.f64 l))
(sqrt.f64 A)
A
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(/.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 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 V))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx (/ (/ (sqrt A) (sqrt l)) (sqrt V)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (sqrt A) (sqrt l)) #s(hole binary64 (sqrt (/ A l))))
#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 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) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A 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 (* 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 l)) (sqrt.f64 V)) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
c0
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (neg.f64 (sqrt.f64 V)))
(/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(pow.f64 (/.f64 A l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 A) (sqrt.f64 l))
(sqrt.f64 (/.f64 A l))
(pow.f64 A #s(literal 1/2 binary64))
(sqrt.f64 A)
A
(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 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 (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) (sqrt l)) (sqrt V))) (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
#s(approx c0 c0)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
#s(approx (* c0 (sqrt (/ A V))) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
#s(approx (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (sqrt.f64 (/.f64 A (*.f64 V l))))
#s(approx (/ (sqrt A) (sqrt l)) (sqrt.f64 (/.f64 A l)))
#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) (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) (sqrt l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A l)))))
#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 V l))))))
#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 V l)))))
#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 (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 841 to 184 computations (78.1% saved)

prune6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New66268
Fresh000
Picked022
Done066
Total661076
Accuracy
92.1%
Counts
76 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.0%
(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
19.6%
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
✓62.7%
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓39.3%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
✓25.3%
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
✓63.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓25.2%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓39.8%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
✓71.3%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓73.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 182 to 130 computations (28.6% saved)

regimes27.0ms (1.1%)

Memory
-2.1MiB live, 44.2MiB allocated; 2ms collecting garbage
Counts
10 → 2
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 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
(*.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)))
(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
Calls

8 calls:

5.0ms
A
3.0ms
l
3.0ms
c0
3.0ms
V
3.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
81.9%2(*.f64 V l)
83.1%3(/.f64 A (*.f64 V l))
83.1%3(sqrt.f64 (/.f64 A (*.f64 V l)))
82.7%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
75.0%2c0
81.9%2A
80.0%2V
82.0%2l
Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes13.0ms (0.5%)

Memory
-21.2MiB live, 25.7MiB allocated; 2ms collecting garbage
Counts
4 → 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 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))))
Calls

7 calls:

2.0ms
(/.f64 A (*.f64 V l))
2.0ms
V
2.0ms
l
2.0ms
A
2.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
75.9%2V
78.6%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
78.6%3(/.f64 A (*.f64 V l))
78.6%3(sqrt.f64 (/.f64 A (*.f64 V l)))
81.8%4(*.f64 V l)
77.7%2A
75.1%2l
Compiler

Compiled 25 to 38 computations (-52% saved)

regimes6.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms 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:

1.0ms
A
1.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms
(*.f64 V l)
1.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
1.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
78.6%3(/.f64 A (*.f64 V l))
78.6%3(sqrt.f64 (/.f64 A (*.f64 V l)))
78.6%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
73.3%1A
75.2%2(*.f64 V l)
Compiler

Compiled 23 to 30 computations (-30.4% saved)

regimes7.0ms (0.3%)

Memory
20.0MiB live, 20.0MiB 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

7 calls:

1.0ms
V
1.0ms
l
1.0ms
c0
1.0ms
(*.f64 V l)
1.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
73.3%1c0
73.3%1l
73.3%1(*.f64 V l)
73.3%1V
73.3%1(/.f64 A (*.f64 V l))
73.3%1(sqrt.f64 (/.f64 A (*.f64 V l)))
73.3%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 25 to 38 computations (-52% saved)

bsearch40.0ms (1.6%)

Memory
-3.6MiB live, 45.6MiB allocated; 5ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
-5.316508195486308e-305
3.43853859793837e-308
Samples
18.0ms261×0invalid
7.0ms128×0valid
Compiler

Compiled 155 to 175 computations (-12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.4% of total)
ival-div: 3.0ms (25.7% of total)
ival-sqrt: 2.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.96434e-319
8.04655e-319
0.0ms
-1.2452402843878766e-179
-1.3693690103939332e-181
0.0ms
-inf
-1.7687415961109338e+307
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.4500567824534257e+301
+inf
0.0ms
0.0
1.3e-322
Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify11.0ms (0.4%)

Memory
-29.9MiB live, 16.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039120
142120
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 l #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal -2919961995278205/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 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 l #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 V l) #s(literal -2919961995278205/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 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 0 binary64)) (not (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 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
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 120 to 40 computations (66.7% saved)

preprocess48.0ms (1.9%)

Memory
-12.2MiB live, 80.2MiB allocated; 7ms collecting garbage
Remove

(negabs c0)

Compiler

Compiled 520 to 300 computations (42.3% saved)

end0.0ms (0%)

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

Profiling

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