Henrywood and Agarwal, Equation (3)

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze226.0ms (3.8%)

Memory
2.0MiB live, 356.2MiB allocated
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)

sample1.5s (26.2%)

Memory
-3.9MiB live, 2 228.1MiB allocated
Samples
568.0ms8 256×0valid
425.0ms6 796×0invalid
Precisions
Click to see histograms. Total time spent on operations: 534.0ms
ival-mult: 248.0ms (46.5% of total)
ival-sqrt: 144.0ms (27% of total)
ival-div: 122.0ms (22.9% of total)
ival-true: 13.0ms (2.4% of total)
ival-assert: 7.0ms (1.3% of total)
Bogosity

explain109.0ms (1.8%)

Memory
15.4MiB live, 174.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-4(3.7043668892681216e+168 6.72949554707474e-6 -27742057231139.83 -8.638264639536245e+297)(sqrt.f64 (/.f64 A (*.f64 V l)))
220-1(2.9808939805420508e+59 7.598779650336546e-12 -1.4838786755665854e-222 -8.450057516496556e-94)(/.f64 A (*.f64 V l))
30-0-(*.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-rescue450
↳(sqrt.f64 (/.f64 A (*.f64 V l)))overflow6
↳(/.f64 A (*.f64 V l))overflow51
↳(*.f64 V l)overflow38
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))uflow-rescue330
↳(sqrt.f64 (/.f64 A (*.f64 V l)))underflow5
↳(/.f64 A (*.f64 V l))underflow38
↳(*.f64 V l)underflow31
/.f64(/.f64 A (*.f64 V l))n/o160
↳(*.f64 V l)overflow38
/.f64(/.f64 A (*.f64 V l))n/u50
↳(*.f64 V l)underflow31
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*u20
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*o10
Confusion
Predicted +Predicted -
+781
-24153
Precision
0.7647058823529411
Recall
0.9873417721518988
Confusion?
Predicted +Predicted MaybePredicted -
+7801
-240153
Precision?
0.7647058823529411
Recall?
0.9873417721518988
Freqs
test
numberfreq
0154
1102
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 116 to 44 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (54.6% of total)
ival-div: 4.0ms (21.8% of total)
ival-sqrt: 4.0ms (21.8% of total)
ival-true: 1.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess179.0ms (3%)

Memory
-2.3MiB live, 36.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
1120122
2195122
3405122
4846122
51906122
62815122
73496122
83940122
94093122
104113122
114130122
124191122
134192122
144242122
154262122
164262122
174262122
184334122
194612122
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
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 8 to 8 computations (0% saved)

simplify3.0ms (0%)

Memory
2.0MiB live, 2.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 V l)
cost-diff0
(/.f64 A (*.f64 V l))
cost-diff0
(sqrt.f64 (/.f64 A (*.f64 V l)))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01226
11626
21826
01826
Stop Event
1×iter limit
1×saturated
1×iter limit
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
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
c0
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 l V))
A
(*.f64 V l)
(*.f64 l V)
V
l

localize23.0ms (0.4%)

Memory
-7.9MiB live, 30.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 V l)
accuracy0.7455333079352274
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
accuracy4.6815330465665825
(/.f64 A (*.f64 V l))
accuracy18.854175484419653
(sqrt.f64 (/.f64 A (*.f64 V l)))
Samples
17.0ms256×0valid
Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.6% of total)
ival-div: 2.0ms (21.8% of total)
ival-sqrt: 2.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
4 → 8
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
(*.f64 V l)
Outputs
(* (sqrt (/ A (* V l))) c0)
(sqrt (/ A (* V l)))
(/ A (* V l))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* V l)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
A
@-inf
((* c0 (sqrt (/ A (* V l)))) (sqrt (/ A (* V l))) (/ A (* V l)) (* V l))
2.0ms
l
@0
((* c0 (sqrt (/ A (* V l)))) (sqrt (/ A (* V l))) (/ A (* V l)) (* V l))
2.0ms
l
@-inf
((* c0 (sqrt (/ A (* V l)))) (sqrt (/ A (* V l))) (/ A (* V l)) (* V l))
2.0ms
V
@-inf
((* c0 (sqrt (/ A (* V l)))) (sqrt (/ A (* V l))) (/ A (* V l)) (* V l))
1.0ms
c0
@0
((* c0 (sqrt (/ A (* V l)))) (sqrt (/ A (* V l))) (/ A (* V l)) (* V l))

simplify23.0ms (0.4%)

Memory
-25.0MiB live, 15.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
13352
28352
318152
443952
558752
665552
767252
867452
967452
067452
Stop Event
1×iter limit
1×saturated
Counts
8 → 8
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(sqrt (/ A (* V l)))
(/ A (* V l))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* V l)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ A (* V l))
(/.f64 A (*.f64 l V))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(* V l)
(*.f64 l V)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))

rewrite158.0ms (2.7%)

Memory
-16.5MiB live, 160.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01222
12922
212622
370222
4464422
0942522
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 522
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
(*.f64 V l)
Outputs
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l V)))) (neg.f64 (sqrt.f64 A)))
(*.f64 (/.f64 c0 #s(literal 1 binary64)) (sqrt.f64 (/.f64 A (*.f64 l V))))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0) (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/8 binary64))) (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0) (pow.f64 (/.f64 A V) #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0) (pow.f64 (*.f64 l V) #s(literal -1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 (*.f64 l V) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) #s(literal -1/4 binary64))) (pow.f64 (*.f64 l V) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 #s(literal -1 binary64))) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 l)) (/.f64 c0 (neg.f64 (sqrt.f64 V))))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 V))) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 l))) (neg.f64 (sqrt.f64 (/.f64 A V))))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))
(*.f64 (/.f64 c0 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 A (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 (neg.f64 V))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(*.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0) (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 c0 (neg.f64 (sqrt.f64 l))))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
(*.f64 (pow.f64 (/.f64 A V) #s(literal 1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0)))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0)))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 l V)))))
(*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0))
(*.f64 (neg.f64 (sqrt.f64 A)) (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l V)))))
(*.f64 (neg.f64 (sqrt.f64 A)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) c0))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 (neg.f64 l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))
(*.f64 (sqrt.f64 A) (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
(*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
(pow.f64 (/.f64 (sqrt.f64 V) (*.f64 c0 (sqrt.f64 (/.f64 A l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (neg.f64 l))) (sqrt.f64 V))
(/.f64 (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (sqrt.f64 l)) (neg.f64 (sqrt.f64 V)))
(/.f64 (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (sqrt.f64 V)) (neg.f64 (sqrt.f64 l)))
(/.f64 (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))) (pow.f64 (*.f64 l V) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 (/.f64 V A)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) c0) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c0) (sqrt.f64 (/.f64 (*.f64 l V) A)))
(/.f64 (*.f64 #s(literal -1 binary64) c0) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 V A)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 l V)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 l V))))
(/.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A V)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 c0 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 l V) A)))
(/.f64 (*.f64 c0 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 (neg.f64 V)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(/.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)) (sqrt.f64 (*.f64 l V)))
(/.f64 (neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l)))) (neg.f64 (sqrt.f64 V)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A))) (sqrt.f64 (*.f64 l V)))
(/.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))))
(/.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 (neg.f64 V)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 (neg.f64 l)))
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(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64) (-.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 l V))))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64) (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 l V))))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64) (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (*.f64 l V) A)) (-.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 l V))))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (*.f64 l V) A)) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (*.f64 l V) A)) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (*.f64 l V) A)) (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (*.f64 l V) A)) (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 A)) #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 l V)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 l V))) (*.f64 (log.f64 A) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 l V)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (*.f64 l V) A))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 A (*.f64 l V))))
(+.f64 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 A (*.f64 l V)))
(+.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 V)) (neg.f64 l))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (neg.f64 V))
(*.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) (pow.f64 (*.f64 l V) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal 3 binary64)) (pow.f64 (*.f64 l V) #s(literal -2 binary64)))
(*.f64 (neg.f64 V) (*.f64 (neg.f64 l) #s(literal 1 binary64)))
(*.f64 (neg.f64 V) (neg.f64 l))
(*.f64 (neg.f64 V) l)
(*.f64 (neg.f64 l) (*.f64 (neg.f64 V) #s(literal 1 binary64)))
(*.f64 (neg.f64 l) (neg.f64 V))
(*.f64 (neg.f64 l) V)
(*.f64 #s(literal -1 binary64) (*.f64 l V))
(*.f64 #s(literal 1 binary64) (*.f64 l V))
(*.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 (*.f64 l V)))
(*.f64 (*.f64 l V) #s(literal -1 binary64))
(*.f64 (*.f64 l V) #s(literal 1 binary64))
(*.f64 l (neg.f64 V))
(*.f64 l V)
(*.f64 V (neg.f64 l))
(*.f64 V l)
(pow.f64 (/.f64 (*.f64 l V) (pow.f64 (*.f64 l V) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) (pow.f64 (*.f64 l V) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 l V) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 l V) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 l V) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (*.f64 l V)) #s(literal 2 binary64))
(pow.f64 (*.f64 l V) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) (*.f64 l V))
(/.f64 (pow.f64 (*.f64 l V) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 l V) #s(literal 3 binary64)) (pow.f64 (*.f64 l V) #s(literal 2 binary64)))
(/.f64 (neg.f64 V) (/.f64 #s(literal -1 binary64) l))
(/.f64 (neg.f64 l) (/.f64 #s(literal -1 binary64) V))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 l V) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l V) (pow.f64 (*.f64 l V) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) (pow.f64 (*.f64 l V) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l V) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (*.f64 l V)) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(/.f64 (*.f64 l V) #s(literal -1 binary64))
(/.f64 (*.f64 l V) #s(literal 1 binary64))
(/.f64 l (pow.f64 V #s(literal -1 binary64)))
(/.f64 V (pow.f64 l #s(literal -1 binary64)))
(neg.f64 (*.f64 l V))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 V)) (neg.f64 l) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (neg.f64 V) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)) (pow.f64 (*.f64 l V) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 l V) #s(literal 3 binary64)) (pow.f64 (*.f64 l V) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 V) (*.f64 (neg.f64 l) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 V) (neg.f64 l) #s(literal 0 binary64))
(fma.f64 (neg.f64 V) l #s(literal 0 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 V) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 l) (neg.f64 V) #s(literal 0 binary64))
(fma.f64 (neg.f64 l) V #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 l V) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 l V) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 (*.f64 l V)) #s(literal 0 binary64))
(fma.f64 (*.f64 l V) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 l V) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 l (neg.f64 V) #s(literal 0 binary64))
(fma.f64 l V #s(literal 0 binary64))
(fma.f64 V (neg.f64 l) #s(literal 0 binary64))
(fma.f64 V l #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 l V) #s(literal 2 binary64))) (*.f64 l V))
(-.f64 #s(literal 0 binary64) (*.f64 l V))
(exp.f64 (fma.f64 (log.f64 (*.f64 l V)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (*.f64 l V)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 l V))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 l V)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 l V)))
(+.f64 #s(literal 0 binary64) (*.f64 l V))
(+.f64 (*.f64 l V) #s(literal 0 binary64))

eval75.0ms (1.3%)

Memory
-2.4MiB live, 71.7MiB allocated
Compiler

Compiled 7 234 to 1 767 computations (75.6% saved)

prune21.0ms (0.3%)

Memory
10.8MiB live, 48.6MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New51018528
Fresh000
Picked011
Done000
Total51019529
Accuracy
92.7%
Counts
529 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
22.4%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
▶20.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
58.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
▶40.2%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
70.9%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
70.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0))
70.7%
(*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0))
40.2%
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
42.0%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
60.0%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
60.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
42.5%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
▶42.6%
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
▶71.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
▶69.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓70.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
37.6%
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A (pow.f64 (*.f64 l V) #s(literal 2 binary64))) (*.f64 l V))))
57.0%
(*.f64 c0 (exp.f64 (fma.f64 (neg.f64 (log.f64 l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 A V)) #s(literal 1/2 binary64)))))
Compiler

Compiled 370 to 348 computations (5.9% saved)

simplify5.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l V)
cost-diff0
(pow.f64 (*.f64 l V) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A))
cost-diff0
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
cost-diff0
(/.f64 A l)
cost-diff0
(sqrt.f64 (/.f64 A l))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
cost-diff0
(sqrt.f64 (*.f64 l V))
cost-diff0
(sqrt.f64 A)
cost-diff0
(*.f64 (sqrt.f64 A) c0)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
cost-diff0
(/.f64 A V)
cost-diff0
(/.f64 (/.f64 A V) l)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 A V) l))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
cost-diff0
(/.f64 A l)
cost-diff0
(/.f64 (/.f64 A l) V)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 A l) V))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025139
045139
160139
271139
373139
073139
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
c0
(sqrt.f64 (/.f64 (/.f64 A l) V))
(/.f64 (/.f64 A l) V)
(/.f64 A l)
A
l
V
(*.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 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 (sqrt.f64 A) c0)
(sqrt.f64 A)
A
c0
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(sqrt.f64 (/.f64 A l))
(/.f64 A l)
A
l
c0
(sqrt.f64 V)
V
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
c0
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A))
(pow.f64 (*.f64 l V) #s(literal -1/2 binary64))
(*.f64 l V)
l
V
#s(literal -1/2 binary64)
(sqrt.f64 A)
A
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
c0
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A l)
A
l
V
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
c0
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
A
V
l
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 (sqrt.f64 A) c0)
(sqrt.f64 A)
A
c0
(sqrt.f64 (*.f64 l V))
(sqrt.f64 (*.f64 V l))
(*.f64 l V)
(*.f64 V l)
l
V
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(sqrt.f64 (/.f64 A l))
(/.f64 A l)
A
l
c0
(sqrt.f64 V)
V
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
(*.f64 (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) c0) (sqrt.f64 A))
c0
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (sqrt.f64 A))
(pow.f64 (*.f64 l V) #s(literal -1/2 binary64))
(pow.f64 (*.f64 V l) #s(literal -1/2 binary64))
(*.f64 l V)
(*.f64 V l)
l
V
#s(literal -1/2 binary64)
(sqrt.f64 A)
A

localize74.0ms (1.3%)

Memory
1.5MiB live, 118.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 A)
accuracy0.0703125
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A))
accuracy0.11565028511429228
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
accuracy3.785039678687899
(pow.f64 (*.f64 l V) #s(literal -1/2 binary64))
accuracy0
(sqrt.f64 V)
accuracy0.0546875
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
accuracy0.7589748162021268
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
accuracy2.4164975814541125
(sqrt.f64 (/.f64 A l))
accuracy0
(sqrt.f64 A)
accuracy0.0390625
(*.f64 (sqrt.f64 A) c0)
accuracy1.041840249172981
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
accuracy3.777368611388841
(sqrt.f64 (*.f64 l V))
accuracy0
(/.f64 A V)
accuracy0.11565028511429228
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
accuracy1.6728556464502937
(/.f64 (/.f64 A V) l)
accuracy3.7883345132496435
(sqrt.f64 (/.f64 (/.f64 A V) l))
accuracy0
(/.f64 A l)
accuracy0.11565028511429228
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
accuracy0.9579548731793343
(/.f64 (/.f64 A l) V)
accuracy3.7883345132496435
(sqrt.f64 (/.f64 (/.f64 A l) V))
Samples
37.0ms194×0invalid
15.0ms62×0valid
Compiler

Compiled 280 to 52 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 11.0ms (32.5% of total)
ival-mult: 9.0ms (26.6% of total)
ival-sqrt: 9.0ms (26.6% of total)
ival-pow: 3.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.6%)

Memory
19.6MiB live, 57.4MiB allocated
Counts
20 → 26
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(/.f64 (/.f64 A l) V)
(/.f64 A l)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 (sqrt.f64 A) c0)
(sqrt.f64 A)
(sqrt.f64 (*.f64 l V))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(sqrt.f64 (/.f64 A l))
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A))
(pow.f64 (*.f64 l V) #s(literal -1/2 binary64))
(*.f64 l V)
(sqrt.f64 V)
Outputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) c0)
(* (sqrt (/ A l)) c0)
(sqrt (/ A (* V l)))
(/ A (* V l))
(/ A l)
(/ A V)
(sqrt A)
(sqrt (/ A l))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt (* V l))
(sqrt (/ 1 (* V l)))
(* V l)
(sqrt V)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (* V l))) (pow (sqrt -1) 2))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
V
@-inf
((* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (/ (* (sqrt (/ A l)) c0) (sqrt V)) (* (sqrt (/ A l)) c0) (sqrt (/ A l)) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (* l V) (sqrt V))
4.0ms
A
@-inf
((* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (/ (* (sqrt (/ A l)) c0) (sqrt V)) (* (sqrt (/ A l)) c0) (sqrt (/ A l)) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (* l V) (sqrt V))
4.0ms
V
@0
((* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (/ (* (sqrt (/ A l)) c0) (sqrt V)) (* (sqrt (/ A l)) c0) (sqrt (/ A l)) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (* l V) (sqrt V))
4.0ms
l
@-inf
((* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (/ (* (sqrt (/ A l)) c0) (sqrt V)) (* (sqrt (/ A l)) c0) (sqrt (/ A l)) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (* l V) (sqrt V))
2.0ms
A
@inf
((* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (/ (* (sqrt (/ A l)) c0) (sqrt V)) (* (sqrt (/ A l)) c0) (sqrt (/ A l)) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (* l V) (sqrt V))

simplify59.0ms (1%)

Memory
-16.0MiB live, 26.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041147
193128
2246127
3533127
41352127
51817127
61990127
72029127
82051127
92064127
102069127
112311127
122407127
132407127
142407127
02407127
Stop Event
1×iter limit
1×saturated
Counts
26 → 26
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) c0)
(* (sqrt (/ A l)) c0)
(sqrt (/ A (* V l)))
(/ A (* V l))
(/ A l)
(/ A V)
(sqrt A)
(sqrt (/ A l))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt (* V l))
(sqrt (/ 1 (* V l)))
(* V l)
(sqrt V)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (* V l))) (pow (sqrt -1) 2))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt A) c0)
(*.f64 (sqrt.f64 A) c0)
(* (sqrt (/ A l)) c0)
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A l)
(/.f64 A l)
(/ A V)
(/.f64 A V)
(sqrt A)
(sqrt.f64 A)
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 A) c0)
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt.f64 A)
(* -1 (* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A l))
(sqrt (* V l))
(sqrt.f64 (*.f64 V l))
(sqrt (/ 1 (* V l)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(* V l)
(*.f64 V l)
(sqrt V)
(sqrt.f64 V)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 V l))
(* (sqrt (/ 1 (* V l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 A l)))

rewrite189.0ms (3.2%)

Memory
-3.0MiB live, 228.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025110
045104
1122104
2503104
33010104
08124104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 2 327
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(/.f64 (/.f64 A l) V)
(/.f64 A l)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 (sqrt.f64 A) c0)
(sqrt.f64 A)
(sqrt.f64 (*.f64 l V))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(sqrt.f64 (/.f64 A l))
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A))
(pow.f64 (*.f64 l V) #s(literal -1/2 binary64))
(*.f64 l V)
(sqrt.f64 V)
Outputs
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 l A) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l A) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 (/.f64 A V)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 A))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal -1/4 binary64))) (pow.f64 V #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64))) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 A) (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) c0)) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)))
(*.f64 (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (sqrt.f64 A))) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (/.f64 V A) l) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 (neg.f64 c0) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (neg.f64 (sqrt.f64 (/.f64 A V))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (sqrt.f64 V)))
(*.f64 (/.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 l))) (neg.f64 (sqrt.f64 (/.f64 A V))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal -1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (sqrt.f64 A)) (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) c0))
(*.f64 (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) c0) (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (sqrt.f64 A)))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 l A) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l A) #s(literal -1/4 binary64)) (/.f64 c0 (sqrt.f64 V))))
(*.f64 (pow.f64 (*.f64 (/.f64 V A) l) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) #s(literal -1/4 binary64)) c0))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l))) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (*.f64 c0 (/.f64 #s(literal -1 binary64) (sqrt.f64 V))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.f64 (neg.f64 c0) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))))
(*.f64 (neg.f64 c0) (*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 #s(literal -1 binary64) (sqrt.f64 V))))
(*.f64 (neg.f64 c0) (*.f64 (sqrt.f64 A) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l)))))
(*.f64 (neg.f64 c0) (/.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)))
(*.f64 (neg.f64 (sqrt.f64 A)) (*.f64 c0 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l)))))
(*.f64 (neg.f64 (sqrt.f64 A)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 V l))))
(*.f64 (pow.f64 V #s(literal -1/4 binary64)) (*.f64 (pow.f64 V #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (sqrt.f64 A)) c0))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 A) c0)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 l A)) c0) #s(literal -1 binary64)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 V A)) c0) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
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(*.f64 (neg.f64 (sqrt.f64 (*.f64 V l))) (neg.f64 (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 (*.f64 V l)))
(*.f64 V l)
(*.f64 l V)
(pow.f64 (*.f64 (pow.f64 (*.f64 V l) #s(literal 2 binary64)) (pow.f64 (*.f64 V l) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 V l) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 V l)) #s(literal 2 binary64))
(pow.f64 (*.f64 V l) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 V l) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 V l)) (log.f64 (sqrt.f64 (*.f64 V l)))))
(exp.f64 (log.f64 (*.f64 V l)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 V)))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (/.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (pow.f64 V #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 V)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 V))
(pow.f64 (*.f64 V V) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 V #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 V #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 V) #s(literal 1 binary64))
(pow.f64 V #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 V)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 V)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 V) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sqrt.f64 V)))
(sqrt.f64 V)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 V)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 V)))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 V)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 V)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 V) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 V) #s(literal 1/4 binary64) (*.f64 (log.f64 V) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 V) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 V V)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 V #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 V)))

eval106.0ms (1.8%)

Memory
5.6MiB live, 159.0MiB allocated
Compiler

Compiled 15 074 to 3 389 computations (77.5% saved)

prune27.0ms (0.5%)

Memory
31.4MiB live, 70.6MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New1 036111 047
Fresh6713
Picked145
Done011
Total1 043231 066
Accuracy
99.6%
Counts
1 066 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (neg.f64 A))) (sqrt.f64 (neg.f64 V)))
▶22.4%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
63.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
21.2%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) c0) (sqrt.f64 (neg.f64 l)))
✓20.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
58.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
38.1%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
22.5%
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
✓40.2%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
▶70.9%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
▶68.9%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
60.0%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
▶65.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
60.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
39.1%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
42.5%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
65.5%
(*.f64 c0 (*.f64 (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 A) l))))
26.4%
(*.f64 c0 (*.f64 (/.f64 (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 A)))
▶42.3%
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
✓71.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓69.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓70.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
37.6%
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A (pow.f64 (*.f64 l V) #s(literal 2 binary64))) (*.f64 l V))))
Compiler

Compiled 432 to 422 computations (2.3% saved)

simplify12.0ms (0.2%)

Memory
-37.9MiB live, 9.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 l)
cost-diff0
(/.f64 c0 (sqrt.f64 l))
cost-diff0
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))
cost-diff0
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
cost-diff0
(/.f64 (neg.f64 A) l)
cost-diff0
(sqrt.f64 (/.f64 (neg.f64 A) l))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
cost-diff0
#s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
cost-diff0
(*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))
cost-diff0
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
cost-diff0
(/.f64 V A)
cost-diff0
(*.f64 (/.f64 V A) l)
cost-diff0
(sqrt.f64 (*.f64 (/.f64 V A) l))
cost-diff0
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
cost-diff0
(*.f64 l V)
cost-diff0
(/.f64 (*.f64 l V) A)
cost-diff0
(sqrt.f64 (/.f64 (*.f64 l V) A))
cost-diff0
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035188
061188
188188
2121188
3149188
4166188
5179188
6207188
7224188
8237188
9239188
10240188
0240188
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
c0
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/.f64 (*.f64 l V) A)
(*.f64 l V)
l
V
A
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
c0
(sqrt.f64 (*.f64 (/.f64 V A) l))
(*.f64 (/.f64 V A) l)
(/.f64 V A)
V
A
l
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
c0
(*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))
#s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(/.f64 #s(literal 1 binary64) (*.f64 V l))
#s(literal 1 binary64)
(*.f64 V l)
V
l
(sqrt.f64 A)
A
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
c0
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(neg.f64 A)
A
l
(sqrt.f64 (neg.f64 V))
(neg.f64 V)
V
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt.f64 l)
l
(sqrt.f64 A)
A
(sqrt.f64 V)
V
Outputs
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
c0
(sqrt.f64 (/.f64 (*.f64 l V) A))
(sqrt.f64 (*.f64 (/.f64 V A) l))
(/.f64 (*.f64 l V) A)
(*.f64 (/.f64 V A) l)
(*.f64 l V)
(*.f64 V l)
l
V
A
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
c0
(sqrt.f64 (*.f64 (/.f64 V A) l))
(*.f64 (/.f64 V A) l)
(/.f64 V A)
V
A
l
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 (*.f64 (sqrt.f64 A) c0) #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
c0
(*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))
(*.f64 (sqrt.f64 A) #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
#s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(/.f64 #s(literal 1 binary64) (*.f64 V l))
#s(literal 1 binary64)
(*.f64 V l)
V
l
(sqrt.f64 A)
A
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
c0
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(neg.f64 A)
A
l
(sqrt.f64 (neg.f64 V))
(neg.f64 V)
V
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt.f64 l)
l
(sqrt.f64 A)
A
(sqrt.f64 V)
V

localize89.0ms (1.5%)

Memory
14.6MiB live, 127.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))
accuracy0
(sqrt.f64 l)
accuracy0
(sqrt.f64 V)
accuracy0
(sqrt.f64 A)
accuracy0
(sqrt.f64 (/.f64 (neg.f64 A) l))
accuracy0
(sqrt.f64 (neg.f64 V))
accuracy0
(neg.f64 V)
accuracy0
(neg.f64 A)
accuracy0
(*.f64 V l)
accuracy0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
accuracy0
(sqrt.f64 A)
accuracy0
#s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
accuracy0
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
accuracy0
(/.f64 V A)
accuracy0
(*.f64 (/.f64 V A) l)
accuracy0
(sqrt.f64 (*.f64 (/.f64 V A) l))
accuracy0
(/.f64 (*.f64 l V) A)
accuracy0
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
accuracy0
(*.f64 l V)
accuracy0
(sqrt.f64 (/.f64 (*.f64 l V) A))
Samples
64.0ms256×0invalid
Compiler

Compiled 357 to 70 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 13.0ms (29.9% of total)
ival-mult: 12.0ms (27.6% of total)
ival-sqrt: 12.0ms (27.6% of total)
ival-pow: 3.0ms (6.9% of total)
ival-neg: 2.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.7%)

Memory
22.3MiB live, 64.6MiB allocated
Counts
26 → 32
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/.f64 (*.f64 l V) A)
(*.f64 l V)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(sqrt.f64 (*.f64 (/.f64 V A) l))
(*.f64 (/.f64 V A) l)
(/.f64 V A)
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))
#s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 l))
(sqrt.f64 l)
(sqrt.f64 A)
(*.f64 V l)
(neg.f64 A)
(neg.f64 V)
(sqrt.f64 (neg.f64 V))
(sqrt.f64 V)
Outputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A l)) c0)
(* c0 (sqrt (/ 1 l)))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ V A)
(sqrt (/ A (* V l)))
(* (sqrt (/ A l)) (sqrt -1))
(* -1 (/ A l))
(sqrt A)
(* -1 A)
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (sqrt (/ A (* V l))))
(* -1 (* (sqrt (/ A l)) (sqrt -1)))
(* -1 (* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* V l)
(sqrt (/ 1 (* V l)))
(* -1 V)
(* (sqrt V) (sqrt -1))
(sqrt V)
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* V l))) (pow (sqrt -1) 2))
(* -1 (* (sqrt V) (sqrt -1)))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
V
@0
((/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (sqrt (/ 1 (* V l))) (* c0 (/ (sqrt (/ (neg A) l)) (sqrt (neg V)))) (/ (sqrt (/ (neg A) l)) (sqrt (neg V))) (sqrt (/ (neg A) l)) (/ (neg A) l) (/ (* (/ c0 (sqrt l)) (sqrt A)) (sqrt V)) (* (/ c0 (sqrt l)) (sqrt A)) (/ c0 (sqrt l)) (sqrt l) (sqrt A) (* V l) (neg A) (neg V) (sqrt (neg V)) (sqrt V))
5.0ms
l
@-inf
((/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (sqrt (/ 1 (* V l))) (* c0 (/ (sqrt (/ (neg A) l)) (sqrt (neg V)))) (/ (sqrt (/ (neg A) l)) (sqrt (neg V))) (sqrt (/ (neg A) l)) (/ (neg A) l) (/ (* (/ c0 (sqrt l)) (sqrt A)) (sqrt V)) (* (/ c0 (sqrt l)) (sqrt A)) (/ c0 (sqrt l)) (sqrt l) (sqrt A) (* V l) (neg A) (neg V) (sqrt (neg V)) (sqrt V))
4.0ms
A
@-inf
((/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (sqrt (/ 1 (* V l))) (* c0 (/ (sqrt (/ (neg A) l)) (sqrt (neg V)))) (/ (sqrt (/ (neg A) l)) (sqrt (neg V))) (sqrt (/ (neg A) l)) (/ (neg A) l) (/ (* (/ c0 (sqrt l)) (sqrt A)) (sqrt V)) (* (/ c0 (sqrt l)) (sqrt A)) (/ c0 (sqrt l)) (sqrt l) (sqrt A) (* V l) (neg A) (neg V) (sqrt (neg V)) (sqrt V))
4.0ms
V
@-inf
((/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (sqrt (/ 1 (* V l))) (* c0 (/ (sqrt (/ (neg A) l)) (sqrt (neg V)))) (/ (sqrt (/ (neg A) l)) (sqrt (neg V))) (sqrt (/ (neg A) l)) (/ (neg A) l) (/ (* (/ c0 (sqrt l)) (sqrt A)) (sqrt V)) (* (/ c0 (sqrt l)) (sqrt A)) (/ c0 (sqrt l)) (sqrt l) (sqrt A) (* V l) (neg A) (neg V) (sqrt (neg V)) (sqrt V))
3.0ms
l
@0
((/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (* c0 (* (pow (* l V) -1/2) (sqrt A))) (* (pow (* l V) -1/2) (sqrt A)) (pow (* l V) -1/2) (sqrt (/ 1 (* V l))) (* c0 (/ (sqrt (/ (neg A) l)) (sqrt (neg V)))) (/ (sqrt (/ (neg A) l)) (sqrt (neg V))) (sqrt (/ (neg A) l)) (/ (neg A) l) (/ (* (/ c0 (sqrt l)) (sqrt A)) (sqrt V)) (* (/ c0 (sqrt l)) (sqrt A)) (/ c0 (sqrt l)) (sqrt l) (sqrt A) (* V l) (neg A) (neg V) (sqrt (neg V)) (sqrt V))

simplify85.0ms (1.5%)

Memory
-14.7MiB live, 23.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052183
1122168
2314167
3549167
41089167
51495167
61713167
71794167
81855167
91882167
101893167
111985167
122011167
132011167
142104167
152360167
162767167
172775167
02775167
Stop Event
1×iter limit
1×saturated
Counts
32 → 32
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A l)) c0)
(* c0 (sqrt (/ 1 l)))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ V A)
(sqrt (/ A (* V l)))
(* (sqrt (/ A l)) (sqrt -1))
(* -1 (/ A l))
(sqrt A)
(* -1 A)
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (sqrt (/ A (* V l))))
(* -1 (* (sqrt (/ A l)) (sqrt -1)))
(* -1 (* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* V l)
(sqrt (/ 1 (* V l)))
(* -1 V)
(* (sqrt V) (sqrt -1))
(sqrt V)
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* V l))) (pow (sqrt -1) 2))
(* -1 (* (sqrt V) (sqrt -1)))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A l)) c0)
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(* c0 (sqrt (/ 1 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) c0)
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ V A)
(/.f64 V A)
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* (sqrt (/ A l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A l)))
(* -1 (/ A l))
(/.f64 (neg.f64 A) l)
(sqrt A)
(sqrt.f64 A)
(* -1 A)
(neg.f64 A)
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (sqrt (/ A (* V l))))
(neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))
(* -1 (* (sqrt (/ A l)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 A l)))
(* -1 (* (sqrt (/ A l)) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A l)) c0)
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt.f64 A)
(* V l)
(*.f64 V l)
(sqrt (/ 1 (* V l)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V))
(* -1 V)
(neg.f64 V)
(* (sqrt V) (sqrt -1))
(*.f64 (sqrt.f64 V) (sqrt.f64 #s(literal -1 binary64)))
(sqrt V)
(sqrt.f64 V)
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V)))
(* -1 (* (sqrt V) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 V) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)

rewrite428.0ms (7.3%)

Memory
-122.7MiB live, 137.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035160
061154
1180148
2735147
04973147
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 513
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/.f64 (*.f64 l V) A)
(*.f64 l V)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(sqrt.f64 (*.f64 (/.f64 V A) l))
(*.f64 (/.f64 V A) l)
(/.f64 V A)
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))
#s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 l))
(sqrt.f64 l)
(sqrt.f64 A)
(*.f64 V l)
(neg.f64 A)
(neg.f64 V)
(sqrt.f64 (neg.f64 V))
(sqrt.f64 V)
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (neg.f64 V)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 V l)))) (neg.f64 (sqrt.f64 A)))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 V l))) (neg.f64 (sqrt.f64 A)))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) #s(literal 1 binary64)) (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0)) (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 A l)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal -1/4 binary64))) (pow.f64 V #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/4 binary64))) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 V)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 (pow.f64 V #s(literal -1/2 binary64)) (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 V A))) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 c0) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 V)))
(*.f64 (/.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 (/.f64 c0 (pow.f64 l #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 A) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c0)) (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 V A)) c0) #s(literal -1 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (/.f64 #s(literal 1 binary64) (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 c0)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (neg.f64 c0))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (*.f64 (sqrt.f64 A) (/.f64 #s(literal -1 binary64) (sqrt.f64 V))))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 V))))
(*.f64 (pow.f64 (/.f64 (neg.f64 l) A) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (neg.f64 l) A) #s(literal -1/4 binary64)) (/.f64 c0 (sqrt.f64 (neg.f64 V)))))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 V l)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 V l)))))
(*.f64 (neg.f64 (sqrt.f64 A)) (/.f64 (/.f64 c0 (sqrt.f64 l)) (neg.f64 (sqrt.f64 V))))
(*.f64 (neg.f64 (sqrt.f64 A)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 #s(literal -1 binary64) (sqrt.f64 V))))
(*.f64 (pow.f64 V #s(literal -1/4 binary64)) (*.f64 (pow.f64 V #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0)))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) (/.f64 c0 (neg.f64 (sqrt.f64 (neg.f64 V)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 V))) c0))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(*.f64 (neg.f64 c0) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))))
(*.f64 (neg.f64 c0) (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 V l)))))
(*.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 (sqrt.f64 (neg.f64 A)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (neg.f64 V)))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (pow.f64 c0 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (/.f64 c0 (sqrt.f64 (neg.f64 V))))
(*.f64 (sqrt.f64 A) (*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (/.f64 #s(literal -1 binary64) (sqrt.f64 V))))
(*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (*.f64 V l))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) #s(literal 1 binary64))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) c0) #s(literal -1 binary64)) (sqrt.f64 (neg.f64 V)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))) (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 V))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 c0)) #s(literal -1 binary64)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))) #s(literal -1 binary64)) (sqrt.f64 V))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (pow.f64 (neg.f64 V) #s(literal -1/2 binary64))) (sqrt.f64 l))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 A))) (/.f64 c0 (sqrt.f64 (neg.f64 V)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (/.f64 c0 (sqrt.f64 (neg.f64 V)))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (neg.f64 V)))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 V))) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 V))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V))) (/.f64 (neg.f64 (sqrt.f64 l)) c0))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 V))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) c0)) (neg.f64 (sqrt.f64 (neg.f64 V))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 l)) c0))
(/.f64 (*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 V)))
(/.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 A)) c0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 c0))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 V)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0)) (sqrt.f64 (neg.f64 V)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (neg.f64 c0) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 A) l))) c0)) (sqrt.f64 (neg.f64 V)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 c0))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 V l)))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 (neg.f64 (sqrt.f64 l)) c0))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) #s(literal -1 binary64)) (*.f64 (sqrt.f64 l) (neg.f64 (sqrt.f64 (neg.f64 V)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (neg.f64 V) l)))
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(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 c0 #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 A)) (/.f64 (neg.f64 (sqrt.f64 l)) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 A))))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 l) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 A)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 A)))
(neg.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(*.f64 (*.f64 c0 (pow.f64 l #s(literal -1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 l) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 l) c0) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 (pow.f64 l #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c0)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (neg.f64 c0))
(*.f64 (pow.f64 l #s(literal -1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) c0))
(*.f64 (neg.f64 c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (pow.f64 c0 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l)))
(*.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 l) c0) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 c0) #s(literal -1 binary64)) (sqrt.f64 l))
(/.f64 (/.f64 c0 (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (neg.f64 c0) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 l)))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 c0 #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 l)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0))
(/.f64 c0 (sqrt.f64 l))
(neg.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 l))) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 l) c0)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (/.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 l)))
(*.f64 (sqrt.f64 l) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 l))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 l #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 l)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 l) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 l)))
(sqrt.f64 l)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 l)))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 A)))
(*.f64 (sqrt.f64 A) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 A))
(pow.f64 (exp.f64 (log.f64 A)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 A A) #s(literal 1/4 binary64))
(pow.f64 A #s(literal 1/2 binary64))
(sqrt.f64 A)
(exp.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) V)) (neg.f64 l))
(*.f64 (exp.f64 (log.f64 V)) (exp.f64 (log.f64 l)))
(*.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 V)))
(*.f64 (neg.f64 l) (/.f64 V #s(literal -1 binary64)))
(*.f64 (neg.f64 l) (neg.f64 V))
(*.f64 (*.f64 (neg.f64 V) l) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 V) l))
(*.f64 (neg.f64 V) (neg.f64 l))
(*.f64 #s(literal 1 binary64) (*.f64 V l))
(*.f64 (*.f64 V l) #s(literal 1 binary64))
(*.f64 V l)
(*.f64 l V)
(pow.f64 (pow.f64 (*.f64 V l) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 V l) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 V V)) (neg.f64 l)) V)
(/.f64 (*.f64 (neg.f64 (pow.f64 V #s(literal 3 binary64))) (neg.f64 l)) (*.f64 V V))
(/.f64 (neg.f64 l) (/.f64 #s(literal -1 binary64) V))
(/.f64 (*.f64 (neg.f64 V) l) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 V l)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 V l)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 V l) #s(literal -1 binary64)))
(/.f64 (*.f64 V l) #s(literal 1 binary64))
(/.f64 V (pow.f64 l #s(literal -1 binary64)))
(/.f64 l (pow.f64 V #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 V) l))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 V) l))
(exp.f64 (log.f64 (*.f64 V l)))
(*.f64 (neg.f64 (*.f64 A A)) (pow.f64 A #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 A A)))
(*.f64 #s(literal -1 binary64) A)
(*.f64 (neg.f64 A) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 A))
(*.f64 A #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 A) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 A A) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 A A))) (neg.f64 A))
(/.f64 (neg.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64)))) (neg.f64 (*.f64 A A)))
(/.f64 (*.f64 (neg.f64 (*.f64 A A)) #s(literal 1 binary64)) A)
(/.f64 (*.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 A A))
(/.f64 (neg.f64 (*.f64 A A)) A)
(/.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) (*.f64 A A))
(/.f64 #s(literal 1 binary64) (/.f64 A (neg.f64 (*.f64 A A))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (neg.f64 (pow.f64 A #s(literal 3 binary64)))))
(neg.f64 A)
(fma.f64 (neg.f64 (*.f64 A A)) (pow.f64 A #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 A A)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) A #s(literal 0 binary64))
(fma.f64 (neg.f64 A) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 A) #s(literal 0 binary64))
(fma.f64 A #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 (pow.f64 A #s(literal 3 binary64)) (*.f64 A A)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) A))
(-.f64 #s(literal 0 binary64) A)
(+.f64 #s(literal 0 binary64) (neg.f64 A))
(+.f64 (neg.f64 A) #s(literal 0 binary64))
(*.f64 (neg.f64 (*.f64 V V)) (pow.f64 V #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 V #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 V V)))
(*.f64 #s(literal -1 binary64) V)
(*.f64 V #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 V) (neg.f64 V))) V)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 V) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 V) (neg.f64 V)) (*.f64 #s(literal 0 binary64) (neg.f64 V)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 V V))) (neg.f64 V))
(/.f64 (neg.f64 (neg.f64 (pow.f64 V #s(literal 3 binary64)))) (neg.f64 (*.f64 V V)))
(/.f64 (neg.f64 (*.f64 V V)) V)
(/.f64 (neg.f64 (pow.f64 V #s(literal 3 binary64))) (*.f64 V V))
(/.f64 #s(literal 1 binary64) (/.f64 V (neg.f64 (*.f64 V V))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 V V) (neg.f64 (pow.f64 V #s(literal 3 binary64)))))
(neg.f64 V)
(fma.f64 (neg.f64 (*.f64 V V)) (pow.f64 V #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 V #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 V V)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) V #s(literal 0 binary64))
(fma.f64 V #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) V) (/.f64 (*.f64 V V) V))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 V V)) (/.f64 (pow.f64 V #s(literal 3 binary64)) (*.f64 V V)))
(-.f64 #s(literal 0 binary64) V)
(+.f64 #s(literal 0 binary64) (neg.f64 V))
(+.f64 (neg.f64 V) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 V))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (neg.f64 V))))
(*.f64 (sqrt.f64 V) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (neg.f64 V)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 V)))
(pow.f64 (exp.f64 (log.f64 (neg.f64 V))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 V) (neg.f64 V)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 V) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 V V))) (sqrt.f64 V))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 V #s(literal 3 binary64)))) (sqrt.f64 (*.f64 V V)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 V))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 V)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 V))))
(sqrt.f64 (neg.f64 V))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (neg.f64 V))))
(exp.f64 (*.f64 (log.f64 (neg.f64 V)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (/.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (pow.f64 V #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 V)))
(*.f64 (sqrt.f64 V) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 V))
(pow.f64 (exp.f64 (log.f64 V)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 V V) #s(literal 1/4 binary64))
(pow.f64 V #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 V)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 V) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 V)))
(sqrt.f64 V)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 V)))
(exp.f64 (*.f64 (log.f64 V) #s(literal 1/2 binary64)))

eval117.0ms (2%)

Memory
-29.0MiB live, 130.7MiB allocated
Compiler

Compiled 12 232 to 2 838 computations (76.8% saved)

prune27.0ms (0.5%)

Memory
26.1MiB live, 65.0MiB allocated
Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New86811879
Fresh7613
Picked055
Done055
Total87527902
Accuracy
100.0%
Counts
902 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (neg.f64 A))) (sqrt.f64 (neg.f64 V)))
✓22.4%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
21.2%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) c0) (sqrt.f64 (neg.f64 l)))
✓20.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
38.1%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
26.1%
(/.f64 (*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (neg.f64 V)))) (sqrt.f64 (neg.f64 l)))
▶22.5%
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
✓40.2%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
65.9%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V))))
▶60.2%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
39.1%
(/.f64 c0 (*.f64 (sqrt.f64 (*.f64 (neg.f64 V) l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) A))))
✓70.9%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
▶72.1%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
✓68.9%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
38.0%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
64.4%
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
26.4%
(*.f64 c0 (/.f64 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))) (sqrt.f64 (neg.f64 V))))
✓65.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
60.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶26.4%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
▶42.5%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
65.5%
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) V))))
39.0%
(*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
✓42.3%
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
✓71.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓69.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓70.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 466 to 464 computations (0.4% saved)

simplify12.0ms (0.2%)

Memory
-26.4MiB live, 10.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (neg.f64 l))
cost-diff0
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))
cost-diff0
(sqrt.f64 A)
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
cost-diff0
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
cost-diff0
(sqrt.f64 A)
cost-diff0
(*.f64 (sqrt.f64 A) c0)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
cost-diff0
(sqrt.f64 l)
cost-diff0
(/.f64 V A)
cost-diff0
(sqrt.f64 (/.f64 V A))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
cost-diff0
(sqrt.f64 (*.f64 l V))
cost-diff0
(sqrt.f64 A)
cost-diff0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
cost-diff0
(/.f64 l A)
cost-diff0
(*.f64 (/.f64 l A) V)
cost-diff0
(sqrt.f64 (*.f64 (/.f64 l A) V))
cost-diff0
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029158
054158
184158
2128158
3159158
4163158
5170158
6196158
7210158
8212158
0212158
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
c0
(sqrt.f64 (*.f64 (/.f64 l A) V))
(*.f64 (/.f64 l A) V)
(/.f64 l A)
l
A
V
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
c0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
A
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
c0
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
(sqrt.f64 (/.f64 V A))
(/.f64 V A)
V
A
(sqrt.f64 l)
l
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(*.f64 (sqrt.f64 A) c0)
(sqrt.f64 A)
A
c0
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
c0
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V))))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
l
(sqrt.f64 (neg.f64 V))
(neg.f64 V)
V
Outputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
c0
(sqrt.f64 (*.f64 (/.f64 l A) V))
(sqrt.f64 (*.f64 V (/.f64 l A)))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 l A)
l
A
V
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
c0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 A)
A
(sqrt.f64 (*.f64 l V))
(sqrt.f64 (*.f64 V l))
(*.f64 l V)
(*.f64 V l)
l
V
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
c0
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))
(sqrt.f64 (/.f64 V A))
(/.f64 V A)
V
A
(sqrt.f64 l)
l
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 V) (sqrt.f64 l)))
(*.f64 (sqrt.f64 A) c0)
(sqrt.f64 A)
A
c0
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (neg.f64 V))) (sqrt.f64 (neg.f64 l)))
c0
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V))))
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (neg.f64 V))) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))
(*.f64 (sqrt.f64 (neg.f64 V)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
l
(sqrt.f64 (neg.f64 V))
(neg.f64 V)
V

localize81.0ms (1.4%)

Memory
3.4MiB live, 122.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 (neg.f64 V))
accuracy0
(sqrt.f64 A)
accuracy0
(neg.f64 l)
accuracy0
(neg.f64 V)
accuracy0
(*.f64 (sqrt.f64 A) c0)
accuracy0
(sqrt.f64 l)
accuracy0
(sqrt.f64 V)
accuracy0
(sqrt.f64 A)
accuracy0
(/.f64 V A)
accuracy0
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
accuracy0
(sqrt.f64 (/.f64 V A))
accuracy0
(sqrt.f64 l)
accuracy0
(*.f64 l V)
accuracy0
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
accuracy0
(sqrt.f64 (*.f64 l V))
accuracy0
(sqrt.f64 A)
accuracy0
(/.f64 l A)
accuracy0
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
accuracy0
(*.f64 (/.f64 l A) V)
accuracy0
(sqrt.f64 (*.f64 (/.f64 l A) V))
Samples
61.0ms256×0invalid
Compiler

Compiled 318 to 60 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 15.0ms (39.1% of total)
ival-sqrt: 12.0ms (31.3% of total)
ival-div: 9.0ms (23.4% of total)
ival-neg: 2.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.7%)

Memory
29.9MiB live, 67.9MiB allocated
Counts
23 → 33
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(sqrt.f64 (*.f64 (/.f64 l A) V))
(*.f64 (/.f64 l A) V)
(/.f64 l A)
(*.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 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
(sqrt.f64 (/.f64 V A))
(/.f64 V A)
(sqrt.f64 l)
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (neg.f64 l))
(*.f64 l V)
(sqrt.f64 V)
(neg.f64 V)
(neg.f64 l)
(sqrt.f64 (neg.f64 V))
Outputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) c0)
(* (sqrt (/ A (* V l))) (/ c0 (pow (sqrt -1) 2)))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ l A)
(sqrt (/ A (* V l)))
(sqrt A)
(sqrt (/ V A))
(/ V A)
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(sqrt (* V l))
(* (sqrt (* V l)) (pow (sqrt -1) 2))
(* V l)
(sqrt V)
(* -1 V)
(* (sqrt V) (sqrt -1))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(* -1 (* (sqrt V) (sqrt -1)))
(sqrt l)
(* (sqrt l) (sqrt -1))
(* -1 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (sqrt -1)))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
V
@0
((/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* (sqrt (/ V A)) (sqrt l)) (sqrt (/ V A)) (/ V A) (sqrt l) (/ (* (sqrt A) c0) (* (sqrt l) (sqrt V))) (* (sqrt A) c0) (* (sqrt l) (sqrt V)) (* c0 (/ (sqrt A) (* (sqrt (neg l)) (sqrt (neg V))))) (* (sqrt (neg l)) (sqrt (neg V))) (sqrt (neg l)) (* l V) (sqrt V) (neg V) (neg l) (sqrt (neg V)))
3.0ms
V
@-inf
((/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* (sqrt (/ V A)) (sqrt l)) (sqrt (/ V A)) (/ V A) (sqrt l) (/ (* (sqrt A) c0) (* (sqrt l) (sqrt V))) (* (sqrt A) c0) (* (sqrt l) (sqrt V)) (* c0 (/ (sqrt A) (* (sqrt (neg l)) (sqrt (neg V))))) (* (sqrt (neg l)) (sqrt (neg V))) (sqrt (neg l)) (* l V) (sqrt V) (neg V) (neg l) (sqrt (neg V)))
3.0ms
A
@-inf
((/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* (sqrt (/ V A)) (sqrt l)) (sqrt (/ V A)) (/ V A) (sqrt l) (/ (* (sqrt A) c0) (* (sqrt l) (sqrt V))) (* (sqrt A) c0) (* (sqrt l) (sqrt V)) (* c0 (/ (sqrt A) (* (sqrt (neg l)) (sqrt (neg V))))) (* (sqrt (neg l)) (sqrt (neg V))) (sqrt (neg l)) (* l V) (sqrt V) (neg V) (neg l) (sqrt (neg V)))
3.0ms
l
@-inf
((/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* (sqrt (/ V A)) (sqrt l)) (sqrt (/ V A)) (/ V A) (sqrt l) (/ (* (sqrt A) c0) (* (sqrt l) (sqrt V))) (* (sqrt A) c0) (* (sqrt l) (sqrt V)) (* c0 (/ (sqrt A) (* (sqrt (neg l)) (sqrt (neg V))))) (* (sqrt (neg l)) (sqrt (neg V))) (sqrt (neg l)) (* l V) (sqrt V) (neg V) (neg l) (sqrt (neg V)))
3.0ms
V
@inf
((/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* (sqrt (/ V A)) (sqrt l)) (sqrt (/ V A)) (/ V A) (sqrt l) (/ (* (sqrt A) c0) (* (sqrt l) (sqrt V))) (* (sqrt A) c0) (* (sqrt l) (sqrt V)) (* c0 (/ (sqrt A) (* (sqrt (neg l)) (sqrt (neg V))))) (* (sqrt (neg l)) (sqrt (neg V))) (sqrt (neg l)) (* l V) (sqrt V) (neg V) (neg l) (sqrt (neg V)))

simplify171.0ms (2.9%)

Memory
-3.5MiB live, 34.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050171
1120153
2347153
3622151
41407151
52244151
62658151
72719151
82736151
92739151
102739151
112959151
123186151
133194151
143194151
153645151
164013151
174516151
184988151
195002151
205004151
215004151
225004151
235132151
245134151
255134151
265134151
05134151
Stop Event
1×iter limit
1×saturated
Counts
33 → 33
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) c0)
(* (sqrt (/ A (* V l))) (/ c0 (pow (sqrt -1) 2)))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ l A)
(sqrt (/ A (* V l)))
(sqrt A)
(sqrt (/ V A))
(/ V A)
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(sqrt (* V l))
(* (sqrt (* V l)) (pow (sqrt -1) 2))
(* V l)
(sqrt V)
(* -1 V)
(* (sqrt V) (sqrt -1))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(* -1 (* (sqrt V) (sqrt -1)))
(sqrt l)
(* (sqrt l) (sqrt -1))
(* -1 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (sqrt -1)))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt A) c0)
(*.f64 (sqrt.f64 A) c0)
(* (sqrt (/ A (* V l))) (/ c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ l A)
(/.f64 l A)
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt A)
(sqrt.f64 A)
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(/ V A)
(/.f64 V A)
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt.f64 A)
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 V A)))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 A) c0)
(sqrt (* V l))
(sqrt.f64 (*.f64 V l))
(* (sqrt (* V l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 V l)))
(* V l)
(*.f64 V l)
(sqrt V)
(sqrt.f64 V)
(* -1 V)
(neg.f64 V)
(* (sqrt V) (sqrt -1))
(*.f64 (sqrt.f64 V) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 V l))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 V A))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(* -1 (* (sqrt V) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 V) (sqrt.f64 #s(literal -1 binary64))))
(sqrt l)
(sqrt.f64 l)
(* (sqrt l) (sqrt -1))
(*.f64 (sqrt.f64 l) (sqrt.f64 #s(literal -1 binary64)))
(* -1 l)
(neg.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 l) (sqrt.f64 #s(literal -1 binary64))))

rewrite143.0ms (2.4%)

Memory
4.9MiB live, 203.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028113
05298
113598
256098
3373198
0878198
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 811
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(sqrt.f64 (*.f64 (/.f64 l A) V))
(*.f64 (/.f64 l A) V)
(/.f64 l A)
(*.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 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
(sqrt.f64 (/.f64 V A))
(/.f64 V A)
(sqrt.f64 l)
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))
(sqrt.f64 (neg.f64 l))
(*.f64 l V)
(sqrt.f64 V)
(neg.f64 V)
(neg.f64 l)
(sqrt.f64 (neg.f64 V))
Outputs
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 (/.f64 A V)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 A))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l))))
(*.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 #s(literal 1 binary64)) (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64)))
(*.f64 (/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 (*.f64 (sqrt.f64 A) c0) (neg.f64 (sqrt.f64 V))))
(*.f64 (/.f64 (neg.f64 c0) #s(literal -1 binary64)) (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 V)) (neg.f64 (sqrt.f64 (/.f64 A l))))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 V))))
(*.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 V))) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(*.f64 (/.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 V)) (/.f64 c0 (neg.f64 (sqrt.f64 l))))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 l))) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 V l)))) (neg.f64 (sqrt.f64 A)))
(*.f64 (/.f64 c0 (neg.f64 (sqrt.f64 V))) (neg.f64 (sqrt.f64 (/.f64 A l))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c0)) (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (neg.f64 c0))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 V l)))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A V))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 V l))) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
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(/.f64 (neg.f64 (*.f64 l l)) l)
(/.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 l l) (*.f64 #s(literal 0 binary64) (neg.f64 l)))))
(/.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) (*.f64 l l))
(/.f64 (pow.f64 l #s(literal 3 binary64)) (neg.f64 (*.f64 l l)))
(/.f64 #s(literal 1 binary64) (/.f64 l (neg.f64 (*.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (pow.f64 (neg.f64 l) #s(literal 3 binary64))))
(neg.f64 l)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) l #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 l l)) (pow.f64 l #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) (pow.f64 l #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) l #s(literal 0 binary64))
(fma.f64 l (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 l #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) l) (/.f64 (*.f64 l l) l))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 l l)) l)
(-.f64 #s(literal 0 binary64) l)
(exp.f64 (log.f64 (neg.f64 l)))
(+.f64 #s(literal 0 binary64) (neg.f64 l))
(+.f64 (neg.f64 l) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 V V))) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 V) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 V #s(literal -2 binary64))))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (pow.f64 V #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 V))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 V)))
(pow.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 V V) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 V) #s(literal 1/2 binary64))
(pow.f64 V #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (*.f64 V V)))) (sqrt.f64 V))
(/.f64 (sqrt.f64 (pow.f64 V #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (*.f64 V V))))
(/.f64 (sqrt.f64 (pow.f64 V #s(literal 3 binary64))) V)
(/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 V #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 V V) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 V V))) (sqrt.f64 V))
(/.f64 (sqrt.f64 (pow.f64 (neg.f64 V) #s(literal 3 binary64))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 V V) (*.f64 #s(literal 0 binary64) (neg.f64 V))))))
(/.f64 (sqrt.f64 (pow.f64 (neg.f64 V) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (*.f64 V V))))
(/.f64 (sqrt.f64 (pow.f64 (neg.f64 V) #s(literal 3 binary64))) V)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 V (neg.f64 (*.f64 V V)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 V V) (pow.f64 (neg.f64 V) #s(literal 3 binary64)))))
(sqrt.f64 (neg.f64 V))
(sqrt.f64 V)
(exp.f64 (fma.f64 (log.f64 (neg.f64 V)) #s(literal 1/4 binary64) (*.f64 (log.f64 (neg.f64 V)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 V) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 V) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (neg.f64 V)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 V) #s(literal 1/4 binary64) (*.f64 (log.f64 V) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 V) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 V)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 V #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 V)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 V) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 V)) #s(literal 1/2 binary64)))

eval101.0ms (1.7%)

Memory
3.4MiB live, 159.2MiB allocated
Compiler

Compiled 16 122 to 3 712 computations (77% saved)

prune34.0ms (0.6%)

Memory
4.5MiB live, 79.4MiB allocated
Pruning

27 alts after pruning (12 fresh and 15 done)

PrunedKeptTotal
New1 09301 093
Fresh01212
Picked055
Done01010
Total1 093271 120
Accuracy
100.0%
Counts
1 120 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (neg.f64 A))) (sqrt.f64 (neg.f64 V)))
✓22.4%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
21.2%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) c0) (sqrt.f64 (neg.f64 l)))
✓20.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
38.1%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
26.1%
(/.f64 (*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (neg.f64 V)))) (sqrt.f64 (neg.f64 l)))
✓22.5%
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
✓40.2%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
65.9%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V))))
✓60.2%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
39.1%
(/.f64 c0 (*.f64 (sqrt.f64 (*.f64 (neg.f64 V) l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) A))))
✓70.9%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
✓72.1%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
✓68.9%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
38.0%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
64.4%
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
26.4%
(*.f64 c0 (/.f64 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))) (sqrt.f64 (neg.f64 V))))
✓65.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
60.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓26.4%
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
✓42.5%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
65.5%
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) V))))
39.0%
(*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
✓42.3%
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
✓71.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓69.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓70.9%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 720 to 433 computations (39.9% saved)

regimes89.0ms (1.5%)

Memory
6.5MiB live, 128.7MiB allocated
Counts
41 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) c0) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) V))))
(/.f64 c0 (*.f64 (sqrt.f64 (*.f64 (neg.f64 V) l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) A))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 V)))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(/.f64 (*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (neg.f64 V)))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (neg.f64 A))) (sqrt.f64 (neg.f64 V)))
(*.f64 c0 (/.f64 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))) (sqrt.f64 (neg.f64 V))))
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 c0 (*.f64 (pow.f64 (neg.f64 V) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 A) l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A (pow.f64 (*.f64 l V) #s(literal 2 binary64))) (*.f64 l V))))
(*.f64 c0 (*.f64 (/.f64 (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 A)))
(*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/4 binary64)) c0))
(*.f64 c0 (exp.f64 (fma.f64 (neg.f64 (log.f64 l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 A V)) #s(literal 1/2 binary64)))))
Outputs
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
Calls

8 calls:

12.0ms
V
12.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.0ms
(*.f64 V l)
11.0ms
A
11.0ms
l
Results
AccuracySegmentsBranch
77.5%4c0
87.1%2A
88.5%2V
87.0%2l
85.3%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
85.9%3(sqrt.f64 (/.f64 A (*.f64 V l)))
85.9%3(/.f64 A (*.f64 V l))
91.2%4(*.f64 V l)
Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes15.0ms (0.3%)

Memory
-16.4MiB live, 21.9MiB allocated
Counts
23 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 (sqrt.f64 (neg.f64 V))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V))))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

2 calls:

8.0ms
V
6.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
90.7%4(*.f64 V l)
88.3%3V
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
18 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

1 calls:

5.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
90.7%4(*.f64 V l)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes5.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
15 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

1 calls:

4.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
90.7%4(*.f64 V l)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes26.0ms (0.4%)

Memory
2.5MiB live, 41.0MiB allocated
Counts
13 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A)))
Calls

6 calls:

5.0ms
(*.f64 V l)
4.0ms
A
4.0ms
V
4.0ms
l
4.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
AccuracySegmentsBranch
78.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
78.0%3(/.f64 A (*.f64 V l))
74.3%2V
79.3%3l
81.6%2A
87.4%4(*.f64 V l)
Compiler

Compiled 17 to 30 computations (-76.5% saved)

regimes6.0ms (0.1%)

Memory
-32.0MiB live, 9.6MiB allocated
Counts
12 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (neg.f64 V) l))) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 l) V)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

1 calls:

5.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
87.3%4(*.f64 V l)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
9 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
Outputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

3 calls:

3.0ms
A
3.0ms
(*.f64 V l)
3.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
79.1%2A
77.9%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
80.3%2(*.f64 V l)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.2%)

Memory
-16.3MiB live, 22.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Calls

5 calls:

3.0ms
(/.f64 A (*.f64 V l))
3.0ms
l
3.0ms
A
2.0ms
(*.f64 V l)
2.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
AccuracySegmentsBranch
78.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
78.0%3(/.f64 A (*.f64 V l))
74.2%2l
74.1%2A
74.5%2(*.f64 V l)
Compiler

Compiled 16 to 26 computations (-62.5% saved)

regimes4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) 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 V A) l)))
Calls

2 calls:

2.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
2.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
78.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
78.0%3(/.f64 A (*.f64 V l))
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A 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)))
Calls

3 calls:

2.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
2.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
2.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
77.6%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
77.7%3(sqrt.f64 (/.f64 A (*.f64 V l)))
77.7%3(/.f64 A (*.f64 V l))
Compiler

Compiled 19 to 21 computations (-10.5% saved)

regimes11.0ms (0.2%)

Memory
-17.3MiB live, 21.6MiB allocated
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:

2.0ms
l
1.0ms
c0
1.0ms
A
1.0ms
V
1.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
70.9%1A
70.9%1l
70.9%1V
70.9%1c0
70.9%1(*.f64 V l)
70.9%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
70.9%1(sqrt.f64 (/.f64 A (*.f64 V l)))
70.9%1(/.f64 A (*.f64 V l))
Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch34.0ms (0.6%)

Memory
6.7MiB live, 45.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-2.778597029705024e-306
1.2781161912028551e-306
Samples
14.0ms231×0invalid
7.0ms128×0valid
Compiler

Compiled 179 to 199 computations (-11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.7% of total)
ival-div: 3.0ms (30.4% of total)
ival-sqrt: 2.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.253886016e-315
0.0ms
-2.660589847803092e-270
-1.9810967777776194e-276
0.0ms
-inf
-3.7888573562756664e+304
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.253886016e-315
0.0ms
-2.660589847803092e-270
-1.9810967777776194e-276
0.0ms
-inf
-3.7888573562756664e+304
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.253886016e-315
0.0ms
-1.9810967777776194e-276
-2.409480665764757e-287
0.0ms
-inf
-3.7888573562756664e+304
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.253886016e-315
1.6904774080026098e-301
0.0ms
-3.16e-322
-0.0
0.0ms
-inf
-3.7888573562756664e+304
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.253886016e-315
1.6904774080026098e-301
0.0ms
-3.16e-322
-0.0
0.0ms
-inf
-3.7888573562756664e+304
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.253886016e-315
1.6904774080026098e-301
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.560591230648657e+270
3.5081321600421163e+272
0.0ms
7.876764070676069e-299
8.387759297786614e-289
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.576316262004226e+278
4.600411842132218e+280
0.0ms
0.0
8.91443806e-316
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.560591230648657e+270
3.5081321600421163e+272
0.0ms
0.0
8.91443806e-316
Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify30.0ms (0.5%)

Memory
8.0MiB live, 48.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108461
1137461
2150461
3157461
4159461
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 V #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V)))) (/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(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 -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))))))
(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 -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 V l) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 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 V #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 (neg.f64 l) A)) (sqrt.f64 (neg.f64 V)))) (/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
(if (<=.f64 V #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (neg.f64 V)) (sqrt.f64 (/.f64 (neg.f64 l) A)))) (/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 V) (sqrt.f64 l))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (*.f64 c0 (*.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 l V) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 l V) #s(literal -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V))) (sqrt.f64 (neg.f64 A))) c0) (if (<=.f64 (*.f64 l V) #s(literal 0 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 l V) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 l V) #s(literal -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) c0) (if (<=.f64 (*.f64 l V) #s(literal 0 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 l V) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 l V) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) c0) (if (<=.f64 (*.f64 l V) #s(literal 0 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))
(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 -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 c0 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 l V) #s(literal -inf.0 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (*.f64 l V) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) c0) (if (<=.f64 (*.f64 l V) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 (*.f64 #s(approx (pow (* l V) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)))) (sqrt.f64 A)) c0))))
(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 -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 l) V)))) (if (<=.f64 (*.f64 V l) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 l V) #s(literal -inf.0 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (*.f64 l V) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) c0) (if (<=.f64 (*.f64 l V) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))
(if (<=.f64 (*.f64 V l) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 (*.f64 l V) #s(literal 404804507/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)

soundness1.2s (20.1%)

Memory
5.1MiB live, 709.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025110
045104
1122104
2503104
33010104
08124104
0822
01222
12922
212622
370222
4464422
0942522
035160
061154
1180148
2735147
04973147
041147
193128
2246127
3533127
41352127
51817127
61990127
72029127
82051127
92064127
102069127
112311127
122407127
132407127
142407127
02407127
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 328 to 720 computations (45.8% saved)

preprocess193.0ms (3.3%)

Memory
15.8MiB live, 132.0MiB allocated
Remove

(negabs c0)

Compiler

Compiled 1 622 to 638 computations (60.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...