Henrywood and Agarwal, Equation (3)

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze250.0ms (4%)

Memory
8.3MiB live, 320.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
12.5%12.5%87.3%0.2%0%0%0%7
18.8%18.7%81.1%0.2%0%0%0%8
28.6%28.1%70.2%0.2%0%1.6%0%9
28.6%28.1%70.2%0.2%0%1.6%0%10
28.8%28.1%69.4%0.2%0%2.3%0%11
36.1%32.7%58.1%0.2%0%9%0%12
Compiler

Compiled 10 to 10 computations (0% saved)

sample1.7s (26.9%)

Memory
4.0MiB live, 2 182.8MiB allocated
Samples
663.0ms8 256×0valid
452.0ms6 892×0invalid
Precisions
Click to see histograms. Total time spent on operations: 627.0ms
ival-mult: 312.0ms (49.8% of total)
ival-sqrt: 152.0ms (24.3% of total)
ival-div: 144.0ms (23% of total)
ival-true: 12.0ms (1.9% of total)
ival-assert: 7.0ms (1.1% of total)
Bogosity

explain83.0ms (1.3%)

Memory
13.1MiB live, 169.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
790-5(-1.4056578537849073e-267 7.062032803549896e-137 -7.996336961018638e+276 -5.821946626631904e-97)(sqrt.f64 (/.f64 A (*.f64 V l)))
250-1(-9.154615459204428e+59 -2.9580024980741197e-47 -1.1111993346442414e-128 2.3332340364073218e-184)(/.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-rescue380
(sqrt.f64 (/.f64 A (*.f64 V l)))overflow5
(/.f64 A (*.f64 V l))overflow43
(*.f64 V l)overflow36
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))uflow-rescue360
(sqrt.f64 (/.f64 A (*.f64 V l)))underflow6
(/.f64 A (*.f64 V l))underflow42
(*.f64 V l)underflow36
/.f64(/.f64 A (*.f64 V l))n/u130
(*.f64 V l)underflow36
/.f64(/.f64 A (*.f64 V l))n/o110
(*.f64 V l)overflow36
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*o30
Confusion
Predicted +Predicted -
+681
-33154
Precision
0.6732673267326733
Recall
0.9855072463768116
Confusion?
Predicted +Predicted MaybePredicted -
+6801
-330154
Precision?
0.6732673267326733
Recall?
0.9855072463768116
Freqs
test
numberfreq
0155
1101
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 90 to 36 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sqrt: 9.0ms (42.3% of total)
ival-mult: 8.0ms (37.6% of total)
ival-div: 4.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess179.0ms (2.9%)

Memory
-6.4MiB live, 31.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
1120122
2195122
3405122
4871122
51941122
62920122
73632122
84083122
94240122
104260122
114277122
124338122
134339122
144389122
154409122
164409122
174409122
184481122
194757122
088
0128
1168
2188
0188
Stop Event
iter limit
saturated
iter limit
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 8 to 8 computations (0% saved)

simplify3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
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
iter limit
saturated
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
2.5MiB live, 40.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 V l)
accuracy0.9005074969038249
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
accuracy5.522061724260158
(/.f64 A (*.f64 V l))
accuracy17.90321412844819
(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: 8.0ms
ival-mult: 3.0ms (38.5% of total)
ival-div: 2.0ms (25.7% of total)
ival-sqrt: 2.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-13.8MiB live, 30.0MiB 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
10.0ms
l
@inf
((* c0 (sqrt (/ A (* V l)))) (sqrt (/ A (* V l))) (/ A (* V l)) (* V l))
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))

simplify15.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
13352
28352
318152
443952
560952
667952
769652
869852
969852
069852
Stop Event
iter limit
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))))

rewrite132.0ms (2.1%)

Memory
-26.1MiB live, 141.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01222
12922
212622
371622
4470622
0949222
Stop Event
iter limit
node limit
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 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 (/.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 (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)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
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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) (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))

eval52.0ms (0.8%)

Memory
32.4MiB live, 108.1MiB allocated
Compiler

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

prune22.0ms (0.3%)

Memory
-28.6MiB live, 54.4MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New51018528
Fresh000
Picked011
Done000
Total51019529
Accuracy
93.7%
Counts
529 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(/.f64 (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (sqrt.f64 l)) (neg.f64 (sqrt.f64 V)))
64.1%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
25.1%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
22.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
63.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
40.2%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
74.4%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
74.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0))
63.6%
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
40.9%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
64.0%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
22.5%
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
41.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
41.6%
(*.f64 c0 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A))))
72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
74.9%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
49.1%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A A) (*.f64 (*.f64 l V) A))))
74.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
74.0%
(*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1 binary64)) A)))
Compiler

Compiled 352 to 348 computations (1.1% saved)

simplify4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025134
046134
158134
268134
370134
070134
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
c0
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
A
V
l
(*.f64 c0 (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 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 (*.f64 l V)))
c0
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
(sqrt.f64 A)
A
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
A
V
c0
(sqrt.f64 l)
l
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt.f64 l)
l
(sqrt.f64 (/.f64 V A))
(/.f64 V A)
V
A
Outputs
(*.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 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 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (*.f64 l V)))
c0
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
(sqrt.f64 A)
A
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
A
V
c0
(sqrt.f64 l)
l
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt.f64 l)
l
(sqrt.f64 (/.f64 V A))
(/.f64 V A)
V
A

localize82.0ms (1.3%)

Memory
20.6MiB live, 97.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 l)
accuracy0.05078125
(/.f64 c0 (sqrt.f64 l))
accuracy0.48375292214580906
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
accuracy3.784374749326583
(sqrt.f64 (/.f64 V A))
accuracy0.0
(sqrt.f64 l)
accuracy0.05078125
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
accuracy0.7796296199289783
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
accuracy3.544371451380663
(sqrt.f64 (/.f64 A V))
accuracy0.0
(sqrt.f64 A)
accuracy0.05859375
(/.f64 c0 (sqrt.f64 (*.f64 l V)))
accuracy1.4320302735369912
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
accuracy5.202400131110318
(sqrt.f64 (*.f64 l V))
accuracy0.0
(/.f64 A l)
accuracy0.0390625
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
accuracy1.4468452996109942
(/.f64 (/.f64 A l) V)
accuracy5.0023371788291335
(sqrt.f64 (/.f64 (/.f64 A l) V))
accuracy0.0
(/.f64 A V)
accuracy0.0390625
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
accuracy0.720892942925627
(/.f64 (/.f64 A V) l)
accuracy5.0023371788291335
(sqrt.f64 (/.f64 (/.f64 A V) l))
Samples
36.0ms186×0invalid
22.0ms70×0valid
Compiler

Compiled 270 to 52 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sqrt: 19.0ms (47.9% of total)
ival-div: 13.0ms (32.8% of total)
ival-mult: 7.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.7%)

Memory
-0.9MiB live, 76.2MiB allocated
Counts
20 → 28
Calls
Call 1
Inputs
(*.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 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(/.f64 (/.f64 A l) V)
(/.f64 A l)
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(sqrt.f64 (/.f64 A V))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 c0 (sqrt.f64 l))
(sqrt.f64 l)
(sqrt.f64 (/.f64 V A))
(sqrt.f64 A)
Outputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ 1 (* V l))) c0)
(* (sqrt (/ A V)) c0)
(* c0 (sqrt (/ 1 l)))
(sqrt (/ A (* V l)))
(/ A (* V l))
(/ A V)
(/ A l)
(sqrt (/ A V))
(sqrt (/ V A))
(sqrt A)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt (* V l))
(* V l)
(* (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 (/ A V)) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A V)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
A
@-inf
((* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* (/ c0 (sqrt (* l V))) (sqrt A)) (/ c0 (sqrt (* l V))) (sqrt (* l V)) (* l V) (/ (* (sqrt (/ A V)) c0) (sqrt l)) (* (sqrt (/ A V)) c0) (sqrt (/ A V)) (/ (/ c0 (sqrt l)) (sqrt (/ V A))) (/ c0 (sqrt l)) (sqrt l) (sqrt (/ V A)) (sqrt A))
7.0ms
V
@0
((* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* (/ c0 (sqrt (* l V))) (sqrt A)) (/ c0 (sqrt (* l V))) (sqrt (* l V)) (* l V) (/ (* (sqrt (/ A V)) c0) (sqrt l)) (* (sqrt (/ A V)) c0) (sqrt (/ A V)) (/ (/ c0 (sqrt l)) (sqrt (/ V A))) (/ c0 (sqrt l)) (sqrt l) (sqrt (/ V A)) (sqrt A))
6.0ms
c0
@0
((* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* (/ c0 (sqrt (* l V))) (sqrt A)) (/ c0 (sqrt (* l V))) (sqrt (* l V)) (* l V) (/ (* (sqrt (/ A V)) c0) (sqrt l)) (* (sqrt (/ A V)) c0) (sqrt (/ A V)) (/ (/ c0 (sqrt l)) (sqrt (/ V A))) (/ c0 (sqrt l)) (sqrt l) (sqrt (/ V A)) (sqrt A))
4.0ms
V
@-inf
((* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* (/ c0 (sqrt (* l V))) (sqrt A)) (/ c0 (sqrt (* l V))) (sqrt (* l V)) (* l V) (/ (* (sqrt (/ A V)) c0) (sqrt l)) (* (sqrt (/ A V)) c0) (sqrt (/ A V)) (/ (/ c0 (sqrt l)) (sqrt (/ V A))) (/ c0 (sqrt l)) (sqrt l) (sqrt (/ V A)) (sqrt A))
3.0ms
l
@-inf
((* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V)) (/ (/ A l) V) (/ A l) (* (/ c0 (sqrt (* l V))) (sqrt A)) (/ c0 (sqrt (* l V))) (sqrt (* l V)) (* l V) (/ (* (sqrt (/ A V)) c0) (sqrt l)) (* (sqrt (/ A V)) c0) (sqrt (/ A V)) (/ (/ c0 (sqrt l)) (sqrt (/ V A))) (/ c0 (sqrt l)) (sqrt l) (sqrt (/ V A)) (sqrt A))

simplify92.0ms (1.5%)

Memory
0.6MiB live, 36.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046166
1101142
2280142
3549142
41273142
51810142
61998142
72035142
82061142
92079142
102089142
112353142
122457142
132457142
142457142
152553142
163219142
174124142
184140142
04140142
Stop Event
iter limit
saturated
Counts
28 → 28
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ 1 (* V l))) c0)
(* (sqrt (/ A V)) c0)
(* c0 (sqrt (/ 1 l)))
(sqrt (/ A (* V l)))
(/ A (* V l))
(/ A V)
(/ A l)
(sqrt (/ A V))
(sqrt (/ V A))
(sqrt A)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt (* V l))
(* V l)
(* (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 (/ A V)) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A V)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ V A)) (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 l V))) c0)
(* (sqrt (/ 1 (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)
(* (sqrt (/ A V)) c0)
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(* c0 (sqrt (/ 1 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) c0)
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ A (* V l))
(/.f64 A (*.f64 l V))
(/ A V)
(/.f64 A V)
(/ A l)
(/.f64 A l)
(sqrt (/ A V))
(sqrt.f64 (/.f64 A V))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt A)
(sqrt.f64 A)
(* -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)))
(* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A V))
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 V A)))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt.f64 A)
(sqrt (* V l))
(sqrt.f64 (*.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))))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 l V))
(* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 A V)))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 V A))
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)

rewrite210.0ms (3.4%)

Memory
3.7MiB live, 193.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
046103
1125103
2599103
33839103
08764103
Stop Event
iter limit
node limit
iter limit
Counts
20 → 2 238
Calls
Call 1
Inputs
(*.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 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(/.f64 (/.f64 A l) V)
(/.f64 A l)
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(sqrt.f64 (/.f64 A V))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 c0 (sqrt.f64 l))
(sqrt.f64 l)
(sqrt.f64 (/.f64 V A))
(sqrt.f64 A)
Outputs
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 (neg.f64 A)))
(*.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 l V)))) (neg.f64 c0))
(*.f64 (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 V A))) c0) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal -1/4 binary64))) (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 (sqrt.f64 l))) (neg.f64 c0))
(*.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 c0 (sqrt.f64 l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 l 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 (neg.f64 (sqrt.f64 (/.f64 A V))) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (sqrt.f64 l)) (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (sqrt.f64 l)) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l V))) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (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 (sqrt.f64 (/.f64 A V)) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 c0) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))) (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (neg.f64 c0) (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 V)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))))
(*.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 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 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (/.f64 (sqrt.f64 l) c0)))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (/.f64 c0 (sqrt.f64 l))))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (*.f64 l V)) 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 #s(literal -1 binary64) (sqrt.f64 l)) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A V))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0))
(*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.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) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 V) 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 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (neg.f64 (sqrt.f64 (/.f64 A V))))
(*.f64 (neg.f64 c0) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 V A)))))
(*.f64 (neg.f64 c0) (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 l V)))))
(*.f64 (neg.f64 c0) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (sqrt.f64 A)))
(*.f64 (neg.f64 c0) (/.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 (sqrt.f64 l))))
(*.f64 (neg.f64 c0) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))))
(*.f64 (neg.f64 c0) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A V))) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (*.f64 (pow.f64 V #s(literal -1/2 binary64)) c0))
(*.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 (/.f64 (sqrt.f64 V) c0) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 V))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (pow.f64 V #s(literal -1/2 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) #s(literal 1 binary64))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (sqrt.f64 A) (/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0)))
(*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 c0 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) #s(literal 1 binary64))
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(exp.f64 (fma.f64 (log.f64 (/.f64 V A)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 V A)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64))) (*.f64 (log.f64 V) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 A)) #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) (neg.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 V) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 A)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (/.f64 V A)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 V A))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 V A) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 V A) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 V A))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 A V)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 V A))))
(*.f64 (*.f64 #s(literal 1 binary64) (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 (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 #s(literal 1 binary64) (sqrt.f64 A))
(*.f64 (sqrt.f64 A) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 A))
(pow.f64 (*.f64 A A) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 A #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 A #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 A) #s(literal 1 binary64))
(pow.f64 A #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 A) #s(literal 1 binary64))
(sqrt.f64 A)
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 A)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 A) #s(literal 1/4 binary64) (*.f64 (log.f64 A) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 A) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 A)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 A)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 A A)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 A #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 A #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 A) #s(literal 1/2 binary64)))

eval184.0ms (3%)

Memory
13.9MiB live, 175.2MiB allocated
Compiler

Compiled 17 312 to 3 754 computations (78.3% saved)

prune88.0ms (1.4%)

Memory
-23.4MiB live, 95.1MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New1 162131 175
Fresh6713
Picked055
Done011
Total1 168261 194
Accuracy
100.0%
Counts
1 194 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)) (sqrt.f64 l))
25.4%
(/.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (sqrt.f64 l)) (neg.f64 (sqrt.f64 V)))
64.1%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
59.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
22.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
63.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
46.6%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l))))
39.2%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
40.2%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
41.0%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
74.4%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
73.1%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
73.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
25.1%
(*.f64 (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 V))) (sqrt.f64 A))
40.9%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
64.0%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
22.5%
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
41.0%
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
61.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
41.2%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
41.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
74.9%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
74.8%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
49.1%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A A) (*.f64 (*.f64 l V) A))))
74.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 473 to 463 computations (2.1% saved)

simplify54.0ms (0.9%)

Memory
-0.2MiB live, 39.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 l A) V)
cost-diff0
(sqrt.f64 (*.f64 (/.f64 l A) V))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
cost-diff0
(sqrt.f64 (/.f64 A l))
cost-diff0
(sqrt.f64 V)
cost-diff0
(/.f64 c0 (sqrt.f64 V))
cost-diff0
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
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 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)))
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)
cost-diff0
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028159
050157
173153
2114145
3193145
4471145
51072145
62025145
72410145
82476145
92479145
102493145
112505145
122505145
02505145
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
c0
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
(/.f64 #s(literal -1 binary64) V)
#s(literal -1 binary64)
V
(neg.f64 A)
A
l
(/.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 (*.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 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(/.f64 c0 (sqrt.f64 V))
c0
(sqrt.f64 V)
V
(sqrt.f64 (/.f64 A l))
(/.f64 A l)
A
l
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
#s(literal 1 binary64)
(/.f64 (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
c0
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
c0
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)
(/.f64 (/.f64 A V) l)
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
(/.f64 A V)
(/.f64 #s(literal -1 binary64) V)
#s(literal -1 binary64)
V
(neg.f64 A)
A
l
(/.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 (*.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 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 c0 (sqrt.f64 V))
c0
(sqrt.f64 V)
V
(sqrt.f64 (/.f64 A l))
(/.f64 A l)
A
l
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
#s(literal 1 binary64)
(/.f64 (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
c0

localize116.0ms (1.9%)

Memory
14.1MiB live, 95.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)
accuracy0.11605447414153319
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
accuracy1.4564191114664637
(*.f64 (/.f64 l A) V)
accuracy5.147887023754705
(sqrt.f64 (*.f64 (/.f64 l A) V))
accuracy0.0
(sqrt.f64 V)
accuracy0.05859375
(/.f64 c0 (sqrt.f64 V))
accuracy0.9519443093450805
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
accuracy4.341364096189219
(sqrt.f64 (/.f64 A l))
accuracy0.0
(sqrt.f64 A)
accuracy0.0390625
(*.f64 (sqrt.f64 A) c0)
accuracy1.235428475667618
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
accuracy5.202400131110318
(sqrt.f64 (*.f64 l V))
accuracy0.0
(/.f64 l A)
accuracy0.0703125
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
accuracy1.4564191114664637
(*.f64 (/.f64 l A) V)
accuracy5.147887023754705
(sqrt.f64 (*.f64 (/.f64 l A) V))
accuracy0.0390625
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
accuracy0.05859375
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
accuracy0.720892942925627
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)
accuracy5.0023371788291335
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l))
Samples
40.0ms186×0invalid
29.0ms70×0valid
Compiler

Compiled 320 to 58 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 17.0ms (47.5% of total)
ival-mult: 9.0ms (25.2% of total)
ival-sqrt: 9.0ms (25.2% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series78.0ms (1.3%)

Memory
10.7MiB live, 49.0MiB allocated
Counts
18 → 29
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)
(/.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 (*.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 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(/.f64 c0 (sqrt.f64 V))
(sqrt.f64 V)
(sqrt.f64 (/.f64 A l))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)
Outputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) c0)
(* (sqrt (/ 1 V)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/ A V)
(sqrt (/ A (* V l)))
(/ A (* V l))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ l A)
(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 (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(sqrt (* 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) A)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
Calls

12 calls:

TimeVariablePointExpression
47.0ms
A
@0
((* (/ -1 V) (neg A)) (* c0 (sqrt (/ (* (/ -1 V) (neg A)) l))) (sqrt (/ (* (/ -1 V) (neg A)) l)) (/ (* (/ -1 V) (neg A)) l) (/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (* (/ c0 (sqrt V)) (sqrt (/ A l))) (/ c0 (sqrt V)) (sqrt V) (sqrt (/ A l)) (/ 1 (/ (sqrt (* (/ l A) V)) c0)) (/ (sqrt (* (/ l A) V)) c0))
5.0ms
A
@-inf
((* (/ -1 V) (neg A)) (* c0 (sqrt (/ (* (/ -1 V) (neg A)) l))) (sqrt (/ (* (/ -1 V) (neg A)) l)) (/ (* (/ -1 V) (neg A)) l) (/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (* (/ c0 (sqrt V)) (sqrt (/ A l))) (/ c0 (sqrt V)) (sqrt V) (sqrt (/ A l)) (/ 1 (/ (sqrt (* (/ l A) V)) c0)) (/ (sqrt (* (/ l A) V)) c0))
4.0ms
V
@-inf
((* (/ -1 V) (neg A)) (* c0 (sqrt (/ (* (/ -1 V) (neg A)) l))) (sqrt (/ (* (/ -1 V) (neg A)) l)) (/ (* (/ -1 V) (neg A)) l) (/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (* (/ c0 (sqrt V)) (sqrt (/ A l))) (/ c0 (sqrt V)) (sqrt V) (sqrt (/ A l)) (/ 1 (/ (sqrt (* (/ l A) V)) c0)) (/ (sqrt (* (/ l A) V)) c0))
4.0ms
l
@-inf
((* (/ -1 V) (neg A)) (* c0 (sqrt (/ (* (/ -1 V) (neg A)) l))) (sqrt (/ (* (/ -1 V) (neg A)) l)) (/ (* (/ -1 V) (neg A)) l) (/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (* (/ c0 (sqrt V)) (sqrt (/ A l))) (/ c0 (sqrt V)) (sqrt V) (sqrt (/ A l)) (/ 1 (/ (sqrt (* (/ l A) V)) c0)) (/ (sqrt (* (/ l A) V)) c0))
3.0ms
c0
@-inf
((* (/ -1 V) (neg A)) (* c0 (sqrt (/ (* (/ -1 V) (neg A)) l))) (sqrt (/ (* (/ -1 V) (neg A)) l)) (/ (* (/ -1 V) (neg A)) l) (/ c0 (sqrt (* (/ l A) V))) (sqrt (* (/ l A) V)) (* (/ l A) V) (/ l A) (/ (* (sqrt A) c0) (sqrt (* l V))) (* (sqrt A) c0) (sqrt A) (sqrt (* l V)) (* (/ c0 (sqrt V)) (sqrt (/ A l))) (/ c0 (sqrt V)) (sqrt V) (sqrt (/ A l)) (/ 1 (/ (sqrt (* (/ l A) V)) c0)) (/ (sqrt (* (/ l A) V)) c0))

simplify211.0ms (3.4%)

Memory
-9.8MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049184
1110156
2314156
3700156
41366156
53349156
63890156
74075156
84093156
94106156
104111156
114497156
124665156
134679156
144706156
154706156
164706156
174754156
184846156
194902156
204946156
214958156
224958156
235006156
245178156
255186156
05186156
Stop Event
iter limit
saturated
Counts
29 → 29
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) c0)
(* (sqrt (/ 1 V)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/ A V)
(sqrt (/ A (* V l)))
(/ A (* V l))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ l A)
(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 (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(sqrt (* 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) A)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(* (sqrt A) c0)
(*.f64 (sqrt.f64 A) c0)
(* (sqrt (/ 1 V)) c0)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0)
(/ A V)
(/.f64 A V)
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ A (* V l))
(/.f64 A (*.f64 l V))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/ (* V l) A)
(/.f64 (*.f64 l V) A)
(/ l A)
(/.f64 l A)
(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 l V))) c0)
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(* -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)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A l))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) (neg.f64 c0))
(sqrt (* V l))
(sqrt.f64 (*.f64 l V))
(sqrt V)
(sqrt.f64 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))))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 l V))
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) c0)
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 A l)))

rewrite190.0ms (3%)

Memory
-13.3MiB live, 140.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028112
050120
1136112
266096
3450896
0821996
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 782
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)
(/.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 (*.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 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(/.f64 c0 (sqrt.f64 V))
(sqrt.f64 V)
(sqrt.f64 (/.f64 A l))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)
Outputs
(*.f64 (/.f64 (neg.f64 A) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) V))
(*.f64 (/.f64 A #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) V))
(*.f64 (pow.f64 V #s(literal -1 binary64)) A)
(*.f64 (/.f64 (neg.f64 A) V) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 A V))
(*.f64 (/.f64 A V) #s(literal 1 binary64))
(*.f64 (neg.f64 A) (/.f64 #s(literal -1 binary64) V))
(*.f64 A (pow.f64 V #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (/.f64 A #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 A) V))
(pow.f64 (/.f64 (/.f64 V A) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 V A) #s(literal -1 binary64))
(pow.f64 (/.f64 A V) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 (*.f64 A A))) A)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 (pow.f64 A #s(literal 3 binary64)))) (*.f64 A A))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 A) V) #s(literal 2 binary64))) (/.f64 (neg.f64 A) V))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 A) V) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (neg.f64 A) V) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 A) V)))))
(/.f64 (*.f64 (neg.f64 (*.f64 A A)) #s(literal 1 binary64)) (*.f64 A (neg.f64 V)))
(/.f64 (*.f64 (neg.f64 (*.f64 A A)) #s(literal -1 binary64)) (*.f64 A V))
(/.f64 (*.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 A A) (neg.f64 V)))
(/.f64 (*.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 A A) V))
(/.f64 (*.f64 (neg.f64 (*.f64 A A)) (/.f64 #s(literal -1 binary64) V)) A)
(/.f64 (*.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) V)) (*.f64 A A))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 A A))) (*.f64 (neg.f64 V) A))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 A #s(literal 3 binary64)))) (*.f64 (neg.f64 V) (*.f64 A A)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 A A))) (*.f64 V A))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 A #s(literal 3 binary64)))) (*.f64 V (*.f64 A A)))
(/.f64 (neg.f64 (*.f64 A A)) (*.f64 (neg.f64 V) A))
(/.f64 (neg.f64 (pow.f64 A #s(literal 3 binary64))) (*.f64 (neg.f64 V) (*.f64 A A)))
(/.f64 (/.f64 (neg.f64 A) V) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 V A) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 V A))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 V A)))
(neg.f64 (/.f64 (neg.f64 A) V))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) V) (/.f64 A V))
(fma.f64 (/.f64 #s(literal -1 binary64) V) #s(literal 0 binary64) (/.f64 A V))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 V)) (/.f64 (neg.f64 A) V))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 A) V))
(exp.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) V)) (/.f64 A V))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) #s(literal 0 binary64)) (/.f64 A V))
(+.f64 #s(literal 0 binary64) (/.f64 A V))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) #s(literal -1 binary64)) (neg.f64 c0))
(*.f64 (*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) #s(literal -1 binary64)) c0)
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) #s(literal 1 binary64)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 (/.f64 A V)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 A l)) c0)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 A))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))))
(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (neg.f64 V) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (neg.f64 A) l)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) #s(literal 1 binary64)) c0)
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 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 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 l A))) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.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 (neg.f64 (sqrt.f64 A)) (sqrt.f64 l)) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 l)) (neg.f64 (sqrt.f64 (/.f64 A V))))
(*.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 l))) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.f64 (/.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 l V))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 (neg.f64 c0) (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)) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 (*.f64 (sqrt.f64 A) c0) (neg.f64 (sqrt.f64 V))))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (sqrt.f64 V)) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.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 (/.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l A))) (/.f64 (neg.f64 c0) (sqrt.f64 V)))
(*.f64 (pow.f64 (neg.f64 c0) #s(literal 1 binary64)) (neg.f64 (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 (neg.f64 c0) (sqrt.f64 V)) (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 l)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 c0 (sqrt.f64 V))))
(*.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) (/.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)) c0))
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/4 binary64)) (/.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal 1/4 binary64))))
(*.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 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (/.f64 (neg.f64 c0) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (pow.f64 (neg.f64 c0) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (neg.f64 c0))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) #s(literal 1 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (*.f64 (sqrt.f64 (/.f64 A V)) #s(literal 1 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(*.f64 (neg.f64 (sqrt.f64 A)) (*.f64 c0 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V)))))
(*.f64 (neg.f64 (sqrt.f64 A)) (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l V)))))
(*.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 (neg.f64 V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 A) #s(literal 1 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (/.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A l)) c0))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))))
(*.f64 (neg.f64 c0) (/.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) #s(literal 1 binary64)))
(*.f64 (neg.f64 c0) (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 l V)))))
(*.f64 (neg.f64 c0) (*.f64 (sqrt.f64 A) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V)))))
(*.f64 (neg.f64 c0) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) #s(literal 1 binary64)))
(*.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal 1 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (*.f64 (sqrt.f64 A) c0) (/.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 A) (/.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 A) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 V) c0)))
(*.f64 (sqrt.f64 A) (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal 1 binary64))
(*.f64 c0 (*.f64 (neg.f64 (sqrt.f64 A)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V)))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) #s(literal 1 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)))
(pow.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 A) c0)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64)) (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0)))
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal 1/4 binary64)) c0))
(*.f64 (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0) (sqrt.f64 (*.f64 l V)))
(*.f64 (/.f64 #s(literal -1 binary64) c0) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) c0) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) c0) (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 l V)) c0) (pow.f64 A #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0))
(*.f64 (/.f64 (sqrt.f64 l) c0) (/.f64 (sqrt.f64 (/.f64 V A)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 l) c0) (*.f64 (sqrt.f64 (/.f64 V A)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 (/.f64 V A)))
(*.f64 (neg.f64 (sqrt.f64 l)) (/.f64 (sqrt.f64 V) (*.f64 (neg.f64 c0) (sqrt.f64 A))))
(*.f64 (sqrt.f64 (/.f64 l A)) (/.f64 (sqrt.f64 V) c0))
(*.f64 (pow.f64 c0 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (/.f64 (sqrt.f64 V) c0) (sqrt.f64 (/.f64 l A)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) (pow.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 (/.f64 #s(literal -1 binary64) c0) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 (pow.f64 c0 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 (/.f64 #s(literal -1 binary64) c0) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 #s(literal -1 binary64) c0))
(*.f64 (sqrt.f64 l) (/.f64 (/.f64 (sqrt.f64 (/.f64 V A)) c0) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 l) (*.f64 (pow.f64 A #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 V) c0)))
(*.f64 (sqrt.f64 l) (*.f64 (/.f64 (sqrt.f64 (/.f64 V A)) c0) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (/.f64 V A)) c0))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(*.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 l) (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0)))
(*.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 l A)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 V) (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 A) c0)))
(*.f64 (sqrt.f64 V) (/.f64 (sqrt.f64 (/.f64 l A)) c0))
(*.f64 (sqrt.f64 (*.f64 l V)) (/.f64 (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 l V)) (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) (pow.f64 c0 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0))
(pow.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) #s(literal -2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) #s(literal 1 binary64))
(pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l V)) c0) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) c0) (neg.f64 (sqrt.f64 A)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 l V)) c0) #s(literal 1 binary64)) (sqrt.f64 A))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) #s(literal 1 binary64)) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 V)) (sqrt.f64 A))
(/.f64 (*.f64 (pow.f64 c0 #s(literal -1 binary64)) (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) (sqrt.f64 A))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 l V)))) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 l A)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) (neg.f64 c0))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal 1 binary64)) (neg.f64 c0))
(/.f64 (pow.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 l A)) (pow.f64 c0 #s(literal -1 binary64))) (pow.f64 V #s(literal -1/2 binary64)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal 1 binary64)) (neg.f64 c0))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 l V)) c0)) (neg.f64 (sqrt.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 l)) (/.f64 (sqrt.f64 V) c0)) (sqrt.f64 (neg.f64 A)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 l)) (neg.f64 (sqrt.f64 V))) (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 A)) (/.f64 c0 (sqrt.f64 V))))
(/.f64 (*.f64 (sqrt.f64 l) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 V))) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 V) l)) (*.f64 (sqrt.f64 (neg.f64 A)) c0))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))
(/.f64 (pow.f64 A #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 l V))))
(/.f64 (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) c0) (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 l V)) c0) (sqrt.f64 A))
(/.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 (/.f64 l A)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 (pow.f64 c0 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (/.f64 (sqrt.f64 V) c0) (sqrt.f64 (/.f64 A l)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 A))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(/.f64 (neg.f64 (sqrt.f64 V)) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) (neg.f64 c0))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))
(/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0))
(/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 A))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c0)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) c0))
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (/.f64 A l)) #s(literal 1/2 binary64))) (*.f64 (log.f64 (/.f64 (sqrt.f64 V) c0)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 l A)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 (sqrt.f64 V) c0)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 c0) #s(literal -1 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 A l)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 V)))))
(exp.f64 (-.f64 (*.f64 (log.f64 c0) #s(literal -1 binary64)) (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 c0) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 c0) #s(literal -1 binary64)) (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) (*.f64 (neg.f64 (log.f64 c0)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 c0) #s(literal -1 binary64) (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (/.f64 l A) V)) #s(literal 1/2 binary64) (*.f64 (log.f64 c0) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)))

eval149.0ms (2.4%)

Memory
11.1MiB live, 171.2MiB allocated
Compiler

Compiled 15 858 to 3 344 computations (78.9% saved)

prune69.0ms (1.1%)

Memory
-12.3MiB live, 74.7MiB allocated
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New1 21141 215
Fresh31215
Picked145
Done156
Total1 216251 241
Accuracy
100.0%
Counts
1 241 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
59.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
22.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
63.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
46.6%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l))))
39.2%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
25.4%
(/.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)))
41.0%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
65.4%
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
74.4%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
73.1%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
74.9%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
73.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
64.0%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
25.8%
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
22.5%
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
41.0%
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
61.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
41.2%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
41.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
74.9%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
49.1%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A A) (*.f64 (*.f64 l V) A))))
74.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 416 to 406 computations (2.4% saved)

simplify9.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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)) c0)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
cost-diff0
(sqrt.f64 (*.f64 l V))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
cost-diff0
(sqrt.f64 A)
cost-diff384
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
cost-diff0
(neg.f64 A)
cost-diff0
(sqrt.f64 (neg.f64 A))
cost-diff0
(*.f64 (sqrt.f64 (neg.f64 A)) c0)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) 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)))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028154
052154
174154
2101154
3125154
4139154
5157154
6191154
7210154
8223154
9224154
10225154
0225154
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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 (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 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 (sqrt.f64 (neg.f64 A)) c0)
(sqrt.f64 (neg.f64 A))
(neg.f64 A)
A
c0
(sqrt.f64 (*.f64 (neg.f64 V) l))
(*.f64 (neg.f64 V) l)
(neg.f64 V)
V
l
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(sqrt.f64 A)
A
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
c0
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0)
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(neg.f64 A)
A
l
c0
(sqrt.f64 (neg.f64 V))
(neg.f64 V)
V
Outputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
c0
(sqrt.f64 (*.f64 (/.f64 V A) l))
(sqrt.f64 (*.f64 l (/.f64 V A)))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 V A)
V
A
l
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
c0
(sqrt.f64 (/.f64 (*.f64 l V) A))
(sqrt.f64 (*.f64 l (/.f64 V A)))
(/.f64 (*.f64 l V) A)
(*.f64 l (/.f64 V A))
(*.f64 l V)
l
V
A
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 (sqrt.f64 (neg.f64 A)) c0)
(sqrt.f64 (neg.f64 A))
(neg.f64 A)
A
c0
(sqrt.f64 (*.f64 (neg.f64 V) l))
(*.f64 (neg.f64 V) l)
(neg.f64 V)
V
l
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
A
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
l
V
c0
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0)
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(neg.f64 A)
A
l
c0
(sqrt.f64 (neg.f64 V))
(neg.f64 V)
V

localize118.0ms (1.9%)

Memory
12.1MiB live, 88.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 (/.f64 (neg.f64 A) l))
accuracy0.0
(sqrt.f64 (neg.f64 V))
accuracy0.0
(neg.f64 V)
accuracy0.0
(neg.f64 A)
accuracy0.0
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
accuracy0.0
(*.f64 l V)
accuracy0.0
(sqrt.f64 (*.f64 l V))
accuracy0.0
(sqrt.f64 A)
accuracy0.0
(sqrt.f64 (*.f64 (neg.f64 V) l))
accuracy0.0
(sqrt.f64 (neg.f64 A))
accuracy0.0
(neg.f64 V)
accuracy0.0
(neg.f64 A)
accuracy0.0
(/.f64 (*.f64 l V) A)
accuracy0.0
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
accuracy0.0
(*.f64 l V)
accuracy0.0
(sqrt.f64 (/.f64 (*.f64 l V) A))
accuracy0.0
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
accuracy0.0
(/.f64 V A)
accuracy0.0
(*.f64 (/.f64 V A) l)
accuracy0.0
(sqrt.f64 (*.f64 (/.f64 V A) l))
Samples
100.0ms256×0invalid
Compiler

Compiled 310 to 58 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-sqrt: 58.0ms (72.2% of total)
ival-div: 12.0ms (14.9% of total)
ival-mult: 7.0ms (8.7% of total)
ival-neg: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory
14.8MiB live, 52.9MiB allocated
Counts
23 → 31
Calls
Call 1
Inputs
(/.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 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/.f64 (*.f64 l V) A)
(*.f64 l V)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 (sqrt.f64 (neg.f64 A)) c0)
(sqrt.f64 (neg.f64 A))
(neg.f64 A)
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(sqrt.f64 A)
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(sqrt.f64 (*.f64 l V))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0)
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(neg.f64 V)
(sqrt.f64 (*.f64 (neg.f64 V) l))
(sqrt.f64 (neg.f64 V))
Outputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) (* c0 (sqrt -1)))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (/ A l)) (* c0 (sqrt -1)))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ V A)
(* (sqrt A) (sqrt -1))
(* -1 A)
(sqrt A)
(* (sqrt (/ A l)) (sqrt -1))
(* -1 (/ A l))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(* -1 (* (sqrt A) (sqrt -1)))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A l)) (* c0 (sqrt -1))))
(* -1 (* (sqrt (/ A l)) (sqrt -1)))
(* V l)
(sqrt (* V l))
(* -1 V)
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt V) (sqrt -1))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (/ (pow (sqrt -1) 2) c0)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt V) (sqrt -1)))
Calls

12 calls:

TimeVariablePointExpression
21.0ms
c0
@-inf
((/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ (* (sqrt (neg A)) c0) (sqrt (* (neg V) l))) (* (sqrt (neg A)) c0) (sqrt (neg A)) (neg A) (/ (sqrt A) (/ (sqrt (* l V)) c0)) (sqrt A) (/ (sqrt (* l V)) c0) (sqrt (* l V)) (/ (* (sqrt (/ (neg A) l)) c0) (sqrt (neg V))) (* (sqrt (/ (neg A) l)) c0) (sqrt (/ (neg A) l)) (/ (neg A) l) (neg V) (sqrt (* (neg V) l)) (sqrt (neg V)))
8.0ms
c0
@0
((/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ (* (sqrt (neg A)) c0) (sqrt (* (neg V) l))) (* (sqrt (neg A)) c0) (sqrt (neg A)) (neg A) (/ (sqrt A) (/ (sqrt (* l V)) c0)) (sqrt A) (/ (sqrt (* l V)) c0) (sqrt (* l V)) (/ (* (sqrt (/ (neg A) l)) c0) (sqrt (neg V))) (* (sqrt (/ (neg A) l)) c0) (sqrt (/ (neg A) l)) (/ (neg A) l) (neg V) (sqrt (* (neg V) l)) (sqrt (neg V)))
3.0ms
A
@-inf
((/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ (* (sqrt (neg A)) c0) (sqrt (* (neg V) l))) (* (sqrt (neg A)) c0) (sqrt (neg A)) (neg A) (/ (sqrt A) (/ (sqrt (* l V)) c0)) (sqrt A) (/ (sqrt (* l V)) c0) (sqrt (* l V)) (/ (* (sqrt (/ (neg A) l)) c0) (sqrt (neg V))) (* (sqrt (/ (neg A) l)) c0) (sqrt (/ (neg A) l)) (/ (neg A) l) (neg V) (sqrt (* (neg V) l)) (sqrt (neg V)))
3.0ms
V
@-inf
((/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ (* (sqrt (neg A)) c0) (sqrt (* (neg V) l))) (* (sqrt (neg A)) c0) (sqrt (neg A)) (neg A) (/ (sqrt A) (/ (sqrt (* l V)) c0)) (sqrt A) (/ (sqrt (* l V)) c0) (sqrt (* l V)) (/ (* (sqrt (/ (neg A) l)) c0) (sqrt (neg V))) (* (sqrt (/ (neg A) l)) c0) (sqrt (/ (neg A) l)) (/ (neg A) l) (neg V) (sqrt (* (neg V) l)) (sqrt (neg V)))
3.0ms
l
@-inf
((/ c0 (sqrt (* (/ V A) l))) (sqrt (* (/ V A) l)) (* (/ V A) l) (/ V A) (/ c0 (sqrt (/ (* l V) A))) (sqrt (/ (* l V) A)) (/ (* l V) A) (* l V) (/ (* (sqrt (neg A)) c0) (sqrt (* (neg V) l))) (* (sqrt (neg A)) c0) (sqrt (neg A)) (neg A) (/ (sqrt A) (/ (sqrt (* l V)) c0)) (sqrt A) (/ (sqrt (* l V)) c0) (sqrt (* l V)) (/ (* (sqrt (/ (neg A) l)) c0) (sqrt (neg V))) (* (sqrt (/ (neg A) l)) c0) (sqrt (/ (neg A) l)) (/ (neg A) l) (neg V) (sqrt (* (neg V) l)) (sqrt (neg V)))

simplify150.0ms (2.4%)

Memory
-9.4MiB live, 71.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052190
1132182
2332182
3628182
41458181
53536181
64071181
74338181
84391181
94402181
104405181
114581181
124748181
134853181
144853181
154853181
164886181
04886181
Stop Event
iter limit
saturated
Counts
31 → 31
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt A) (* c0 (sqrt -1)))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (/ A l)) (* c0 (sqrt -1)))
(sqrt (/ (* V l) A))
(/ (* V l) A)
(/ V A)
(* (sqrt A) (sqrt -1))
(* -1 A)
(sqrt A)
(* (sqrt (/ A l)) (sqrt -1))
(* -1 (/ A l))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(* -1 (* (sqrt A) (sqrt -1)))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A l)) (* c0 (sqrt -1))))
(* -1 (* (sqrt (/ A l)) (sqrt -1)))
(* V l)
(sqrt (* V l))
(* -1 V)
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt V) (sqrt -1))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (/ (pow (sqrt -1) 2) c0)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt V) (sqrt -1)))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(* (sqrt A) (* c0 (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* V l)) (/ 1 c0))
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(* (sqrt (/ A l)) (* c0 (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 A l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) c0))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/ (* V l) A)
(/.f64 (*.f64 l V) A)
(/ V A)
(/.f64 V A)
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* -1 A)
(neg.f64 A)
(sqrt A)
(sqrt.f64 A)
(* (sqrt (/ A l)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (/ A l))
(/.f64 (neg.f64 A) l)
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(*.f64 (neg.f64 c0) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A)))
(* -1 (* (sqrt A) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A)))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)
(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(sqrt.f64 A)
(* -1 (* (sqrt (/ A l)) (* c0 (sqrt -1))))
(*.f64 (neg.f64 c0) (*.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ A l)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 A l)))
(* V l)
(*.f64 l V)
(sqrt (* V l))
(sqrt.f64 (*.f64 l V))
(* -1 V)
(neg.f64 V)
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 #s(literal -1 binary64)))
(* (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 l V) A))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))
(* -1 (* (sqrt (* V l)) (/ (pow (sqrt -1) 2) c0)))
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 l V))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt V) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 V) (sqrt.f64 #s(literal -1 binary64))))

rewrite140.0ms (2.2%)

Memory
-16.3MiB live, 175.6MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028123
052118
1149118
2634113
34420110
08329110
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 760
Calls
Call 1
Inputs
(/.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 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/.f64 (*.f64 l V) A)
(*.f64 l V)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 (sqrt.f64 (neg.f64 A)) c0)
(sqrt.f64 (neg.f64 A))
(neg.f64 A)
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(sqrt.f64 A)
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(sqrt.f64 (*.f64 l V))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0)
(sqrt.f64 (/.f64 (neg.f64 A) l))
(/.f64 (neg.f64 A) l)
(neg.f64 V)
(sqrt.f64 (*.f64 (neg.f64 V) l))
(sqrt.f64 (neg.f64 V))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) #s(literal -1 binary64)) (neg.f64 c0))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) #s(literal 1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 (sqrt.f64 A) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (*.f64 l V))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) #s(literal -1 binary64)) c0)
(*.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 l V))) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l)))) (neg.f64 (pow.f64 V #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) #s(literal 1 binary64)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) #s(literal 1 binary64)) c0)
(*.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 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (neg.f64 V) l) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.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 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 A) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 c0 #s(literal -1 binary64))) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 A)) (sqrt.f64 (neg.f64 V))) (/.f64 c0 (neg.f64 (sqrt.f64 l))))
(*.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 V))) (/.f64 (neg.f64 c0) (sqrt.f64 l)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) #s(literal -1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 (neg.f64 c0) (sqrt.f64 (neg.f64 V))) (neg.f64 (sqrt.f64 (/.f64 A l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal -1 binary64)) (/.f64 (neg.f64 c0) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 V A))) (/.f64 c0 (neg.f64 (sqrt.f64 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 (sqrt.f64 (/.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 c0 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (sqrt.f64 l)) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (*.f64 l V)) c0)))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 l V)))) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) c0)))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1 binary64))) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l V))))
(*.f64 (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 l V))) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/4 binary64))))
(*.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 (/.f64 A l) V))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 A) (/.f64 #s(literal -1 binary64) c0)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (*.f64 (neg.f64 c0) (sqrt.f64 A)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) (pow.f64 (neg.f64 c0) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) (neg.f64 c0))
(*.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (*.f64 c0 (neg.f64 (pow.f64 V #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (/.f64 c0 (neg.f64 (sqrt.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 l V)))))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (pow.f64 A #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (*.f64 l V)) c0)))
(*.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 (neg.f64 (pow.f64 V #s(literal -1/2 binary64))) (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A l))))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 A) (pow.f64 c0 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 A) c0) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
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(pow.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (*.f64 l V)) #s(literal 1 binary64))
(pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/2 binary64))
(pow.f64 (*.f64 l V) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 l V)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 l V))))
(sqrt.f64 (*.f64 (neg.f64 V) l))
(sqrt.f64 (*.f64 l V))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l V))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 l V))) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (*.f64 l V))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (neg.f64 V) l)) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 l V)) #s(literal 1/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (neg.f64 V) l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 (neg.f64 V) l)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (neg.f64 V)))))
(exp.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 l V)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (neg.f64 V)) #s(literal 1/2 binary64) (*.f64 (log.f64 l) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 l V)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 l V)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 l) #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 l) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 V) l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (*.f64 l V)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 l V)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (neg.f64 V) l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 l V))))
(exp.f64 (*.f64 (log.f64 (*.f64 l V)) #s(literal 1/2 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 V) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 V)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 V))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 V)))
(*.f64 (sqrt.f64 (neg.f64 V)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 V)))
(pow.f64 (pow.f64 (neg.f64 V) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (neg.f64 V)) #s(literal 1 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 (pow.f64 (neg.f64 V) #s(literal 3 binary64))) (sqrt.f64 (*.f64 V 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 (neg.f64 V)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sqrt.f64 V)))
(sqrt.f64 (neg.f64 V))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 V)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (neg.f64 V))) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (neg.f64 V))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 V))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (neg.f64 V)) #s(literal -1/2 binary64))))
(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 V) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 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 (*.f64 (*.f64 (log.f64 (neg.f64 V)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 V) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 V) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (neg.f64 V))))

eval103.0ms (1.7%)

Memory
24.3MiB live, 149.2MiB allocated
Compiler

Compiled 12 943 to 3 107 computations (76% saved)

prune34.0ms (0.5%)

Memory
-33.4MiB live, 87.5MiB allocated
Pruning

25 alts after pruning (11 fresh and 14 done)

PrunedKeptTotal
New9561957
Fresh11011
Picked055
Done099
Total95725982
Accuracy
100.0%
Counts
982 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
59.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) c0) (sqrt.f64 (neg.f64 V)))
22.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
63.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
46.6%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l))))
39.2%
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
25.4%
(/.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)))
41.0%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
65.4%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
74.4%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
73.1%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
74.9%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
73.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
64.0%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
25.8%
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
22.5%
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
41.0%
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
61.6%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
41.2%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
41.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
72.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
74.9%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
49.1%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A A) (*.f64 (*.f64 l V) A))))
74.3%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 619 to 371 computations (40.1% saved)

regimes85.0ms (1.4%)

Memory
30.8MiB live, 147.4MiB allocated
Counts
37 → 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)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A A) (*.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 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(/.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 (*.f64 (sqrt.f64 l) (sqrt.f64 V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.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 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l))))
(/.f64 (/.f64 (*.f64 (neg.f64 c0) (sqrt.f64 A)) (sqrt.f64 l)) (neg.f64 (sqrt.f64 V)))
(/.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (sqrt.f64 l)) (neg.f64 (sqrt.f64 V)))
(*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (*.f64 l V) #s(literal -1 binary64)) A)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l))))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
Calls

8 calls:

11.0ms
A
11.0ms
l
10.0ms
V
10.0ms
(*.f64 V l)
10.0ms
c0
Results
AccuracySegmentsBranch
78.6%3c0
88.3%2A
90.0%3V
86.2%2l
82.3%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
83.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
83.0%3(/.f64 A (*.f64 V l))
90.2%4(*.f64 V l)
Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes21.0ms (0.3%)

Memory
-4.9MiB live, 36.8MiB allocated
Counts
32 → 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 (sqrt.f64 (/.f64 (*.f64 A A) (*.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 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(/.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 (*.f64 (sqrt.f64 l) (sqrt.f64 V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.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 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)) (sqrt.f64 l))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
Calls

2 calls:

11.0ms
V
9.0ms
A
Results
AccuracySegmentsBranch
85.9%3A
87.5%2V
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes18.0ms (0.3%)

Memory
-4.9MiB live, 33.6MiB allocated
Counts
29 → 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 (sqrt.f64 (/.f64 (*.f64 A A) (*.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 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))
(/.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 (*.f64 (sqrt.f64 l) (sqrt.f64 V))) (sqrt.f64 A))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.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)))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A))))
Calls

2 calls:

9.0ms
V
8.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
90.2%4(*.f64 V l)
87.0%2V
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes7.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
21 → 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 (sqrt.f64 (/.f64 (*.f64 A A) (*.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 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

1 calls:

6.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
90.2%4(*.f64 V l)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes16.0ms (0.3%)

Memory
-8.2MiB live, 30.8MiB 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 (sqrt.f64 (/.f64 (*.f64 A A) (*.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 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (sqrt.f64 (*.f64 (neg.f64 V) l)))
(*.f64 #s(approx (/ c0 (sqrt (* l V))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V))) c0)) (sqrt.f64 A))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

3 calls:

5.0ms
(*.f64 V l)
5.0ms
l
5.0ms
V
Results
AccuracySegmentsBranch
78.9%2l
78.3%2V
88.5%4(*.f64 V l)
Compiler

Compiled 5 to 13 computations (-160% saved)

regimes9.0ms (0.1%)

Memory
-23.2MiB live, 16.1MiB allocated
Counts
11 → 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 (sqrt.f64 (/.f64 (*.f64 A A) (*.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 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 A)) l)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))
Calls

2 calls:

4.0ms
A
4.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
80.8%2A
82.3%2(*.f64 V l)
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes13.0ms (0.2%)

Memory
32.4MiB live, 32.4MiB allocated
Counts
7 → 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)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A A) (*.f64 (*.f64 l V) A))))
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

5 calls:

3.0ms
A
3.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
3.0ms
(*.f64 V l)
3.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
2.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
81.4%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
74.9%1A
81.3%3(sqrt.f64 (/.f64 A (*.f64 V l)))
81.3%3(/.f64 A (*.f64 V l))
77.2%2(*.f64 V l)
Compiler

Compiled 23 to 30 computations (-30.4% saved)

regimes7.0ms (0.1%)

Memory
-31.9MiB live, 10.3MiB 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 l) V)))
Calls

3 calls:

3.0ms
(/.f64 A (*.f64 V l))
2.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
2.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
81.1%3(sqrt.f64 (/.f64 A (*.f64 V l)))
81.1%3(/.f64 A (*.f64 V l))
81.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 19 to 21 computations (-10.5% saved)

regimes1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

1 calls:

1.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
81.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB 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:

1.0ms
V
1.0ms
(*.f64 V l)
1.0ms
A
1.0ms
l
1.0ms
c0
Results
AccuracySegmentsBranch
74.3%1A
74.3%1c0
74.3%1(*.f64 V l)
74.3%1V
74.3%1l
74.3%1(sqrt.f64 (/.f64 A (*.f64 V l)))
74.3%1(/.f64 A (*.f64 V l))
74.3%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch50.0ms (0.8%)

Memory
6.4MiB live, 84.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
-1.4969550852592933e-304
8.701961613100164e-308
18.0ms
-8.564756879959079e-195
-9.236464204308127e-200
Samples
16.0ms288×0valid
13.0ms233×0invalid
Compiler

Compiled 452 to 492 computations (-8.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.8% of total)
ival-div: 4.0ms (28.5% of total)
ival-sqrt: 3.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.4969550852592933e-304
8.701961613100164e-308
Compiler

Compiled 200 to 222 computations (-11% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.86235446725033e-291
4.867998031130703e-275
0.0ms
-3.46e-322
0.0
0.0ms
-inf
-1.4261171144829006e+300
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch2.0ms (0%)

Memory
-38.0MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.683477970173411e-296
4.86235446725033e-291
0.0ms
-3.46e-322
0.0
0.0ms
-inf
-1.4261171144829006e+300
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.683477970173411e-296
4.86235446725033e-291
0.0ms
-3.46e-322
0.0
0.0ms
-inf
-1.4261171144829006e+300
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.683477970173411e-296
4.86235446725033e-291
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.526676813172932e+235
1.357495423543545e+241
0.0ms
2.3389038677080536e-302
6.21425627431281e-294
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.998898904504863e+297
6.145888194021289e+302
0.0ms
2.3389038677080536e-302
6.21425627431281e-294
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6227706746862853e+226
2.196372820629417e+228
0.0ms
2.3389038677080536e-302
6.21425627431281e-294
Compiler

Compiled 11 to 15 computations (-36.4% saved)

simplify73.0ms (1.2%)

Memory
14.8MiB live, 58.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
092397
1119397
2164397
3221395
4298395
5403395
6606395
71176395
82265394
96966394
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 V #s(literal -2025278565357761/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 V #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l)))) (*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))
(if (<=.f64 V #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.f64 c0 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A)))))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.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 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 V l) #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 50000000000000002658300983132982451780169472876225504866784864935219457611460827972975021456746524545128608409062560469814752225690268269365846081545102019383495851986671117567248753418814166156177318917645740336056184652851795690782720 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 50000000000000004641673518601159954844517422622525385549225694063461714040984789960014820604544131271471563404911386848873613068925538235484773792943686604067961981752493137735453512646120016981018974140087018752579040234700800 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 -2025278565357761/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 V #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) (neg.f64 c0)) (*.f64 (sqrt.f64 (neg.f64 V)) (neg.f64 (sqrt.f64 l)))) (*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))
(if (<=.f64 V #s(literal -2025278565357761/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 V #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 A)) c0) (*.f64 (sqrt.f64 (neg.f64 V)) (sqrt.f64 l))) (*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))
(if (<=.f64 V #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.f64 c0 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A)))))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.f64 c0 (*.f64 (pow.f64 (sqrt.f64 (*.f64 l V)) #s(literal -1 binary64)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.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 V) l)))) (if (<=.f64 (*.f64 V l) #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))))
(if (<=.f64 (*.f64 V l) #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 50000000000000002658300983132982451780169472876225504866784864935219457611460827972975021456746524545128608409062560469814752225690268269365846081545102019383495851986671117567248753418814166156177318917645740336056184652851795690782720 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 50000000000000004641673518601159954844517422622525385549225694063461714040984789960014820604544131271471563404911386848873613068925538235484773792943686604067961981752493137735453512646120016981018974140087018752579040234700800 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (or (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (not (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 50000000000000004641673518601159954844517422622525385549225694063461714040984789960014820604544131271471563404911386848873613068925538235484773792943686604067961981752493137735453512646120016981018974140087018752579040234700800 binary64)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

soundness1.1s (17.2%)

Memory
10.2MiB live, 601.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
046103
1125103
2599103
33839103
08764103
028112
050120
1136112
266096
3450896
0821996
0822
01222
12922
212622
371622
4470622
0949222
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 948 to 506 computations (46.6% saved)

preprocess211.0ms (3.4%)

Memory
5.9MiB live, 158.3MiB allocated
Remove

(negabs c0)

Compiler

Compiled 1 488 to 640 computations (57% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...