Henrywood and Agarwal, Equation (3)

Time bar (total: 9.1s)

analyze264.0ms (2.9%)

Memory
-17.3MiB live, 437.1MiB 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)

sample1.6s (18%)

Memory
-93.5MiB live, 2 846.8MiB allocated
Samples
771.0ms8 255×0valid
423.0ms6 507×0invalid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 475.0ms
ival-mult: 220.0ms (46.3% of total)
ival-sqrt: 123.0ms (25.9% of total)
ival-div: 115.0ms (24.2% of total)
ival-true: 11.0ms (2.3% of total)
ival-assert: 6.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess179.0ms (2%)

Memory
-36.6MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Rules
548×unsub-neg
498×div-sub
466×associate-/r*
448×associate-/l*
418×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051130
1120130
2195130
3406130
4848130
51917130
62821130
73504130
83947130
94102130
104122130
114139130
124200130
134201130
144251130
154271130
164271130
174271130
184343130
194607130
088
1128
2148
0148
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* c0 (sqrt (/ A (* V l))))
Outputs
(* c0 (sqrt (/ A (* V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Call 2
Inputs
(* c0 (sqrt (/ A (* V l))))
(* (neg c0) (sqrt (/ A (* V l))))
(* c0 (sqrt (/ (neg A) (* V l))))
(* c0 (sqrt (/ A (* (neg V) l))))
(* c0 (sqrt (/ A (* V (neg l)))))
(neg (* (neg c0) (sqrt (/ A (* V l)))))
(neg (* c0 (sqrt (/ (neg A) (* V l)))))
(neg (* c0 (sqrt (/ A (* (neg V) l)))))
(neg (* c0 (sqrt (/ A (* V (neg l))))))
(* A (sqrt (/ c0 (* V l))))
(* V (sqrt (/ A (* c0 l))))
(* l (sqrt (/ A (* V c0))))
(* c0 (sqrt (/ V (* A l))))
(* c0 (sqrt (/ l (* V A))))
(* c0 (sqrt (/ A (* l V))))
Outputs
(* c0 (sqrt (/ A (* V l))))
(* (neg c0) (sqrt (/ A (* V l))))
(* (sqrt (/ A (* V l))) (neg c0))
(* c0 (sqrt (/ (neg A) (* V l))))
(* c0 (sqrt (/ A (* V (neg l)))))
(* c0 (sqrt (/ A (* (neg V) l))))
(* c0 (sqrt (/ A (* V (neg l)))))
(* c0 (sqrt (/ A (* V (neg l)))))
(neg (* (neg c0) (sqrt (/ A (* V l)))))
(* c0 (sqrt (/ A (* V l))))
(neg (* c0 (sqrt (/ (neg A) (* V l)))))
(* (neg c0) (sqrt (/ A (* V (neg l)))))
(neg (* c0 (sqrt (/ A (* (neg V) l)))))
(* (neg c0) (sqrt (/ A (* V (neg l)))))
(neg (* c0 (sqrt (/ A (* V (neg l))))))
(* (neg c0) (sqrt (/ A (* V (neg l)))))
(* A (sqrt (/ c0 (* V l))))
(* V (sqrt (/ A (* c0 l))))
(* l (sqrt (/ A (* V c0))))
(* l (sqrt (/ A (* c0 V))))
(* c0 (sqrt (/ V (* A l))))
(* c0 (sqrt (/ l (* V A))))
(* c0 (sqrt (/ l (* A V))))
(* c0 (sqrt (/ A (* l V))))
(* c0 (sqrt (/ A (* V l))))
Symmetry

(negabs c0)

(sort V l)

explain87.0ms (0.9%)

Memory
-8.4MiB live, 149.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
890-0-(sqrt.f64 (/.f64 A (*.f64 V l)))
260-2(3.080628089343772e+164 7.201955827192475e-25 -5.470160931075866e-46 -2.410581032435856e-275)(/.f64 A (*.f64 V l))
50-2(3.983397839246081e+200 -3.039815442853577e-274 -5.460778259309643e+120 1.0078274102270526e+246)(*.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)))uflow-rescue450
(sqrt.f64 (/.f64 A (*.f64 V l)))underflow3
(/.f64 A (*.f64 V l))underflow48
(*.f64 V l)underflow34
sqrt.f64(sqrt.f64 (/.f64 A (*.f64 V l)))oflow-rescue440
(sqrt.f64 (/.f64 A (*.f64 V l)))overflow6
(/.f64 A (*.f64 V l))overflow50
(*.f64 V l)overflow35
/.f64(/.f64 A (*.f64 V l))n/o150
(*.f64 V l)overflow35
/.f64(/.f64 A (*.f64 V l))n/u90
(*.f64 V l)underflow34
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*u20
*.f64(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))n*o10
Confusion
Predicted +Predicted -
+821
-34139
Precision
0.7068965517241379
Recall
0.9879518072289156
Confusion?
Predicted +Predicted MaybePredicted -
+8201
-340139
Precision?
0.7068965517241379
Recall?
0.9879518072289156
Freqs
test
numberfreq
0140
1116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 80 to 36 computations (55% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (48.7% of total)
ival-div: 4.0ms (24.4% of total)
ival-sqrt: 4.0ms (24.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
2.4MiB live, 2.4MiB 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))))
Rules
10×/-lowering-/.f32
10×/-lowering-/.f64
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11226
21426
01426
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* c0 (sqrt (/ A (* V l))))
c0
(sqrt (/ A (* V l)))
(/ A (* V l))
A
(* V l)
V
l
Outputs
(* c0 (sqrt (/ A (* V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
c0
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/ A (* V l))
(/.f64 A (*.f64 V l))
A
(* V l)
(*.f64 V l)
V
l

localize26.0ms (0.3%)

Memory
11.1MiB live, 49.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 V l)
accuracy98.2%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
accuracy90.4%
(/.f64 A (*.f64 V l))
accuracy67.8%
(sqrt.f64 (/.f64 A (*.f64 V l)))
Samples
18.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (39.2% of total)
ival-div: 2.0ms (26.1% of total)
ival-sqrt: 2.0ms (26.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-4.0MiB live, 34.3MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (* c0 (sqrt (/ A (* V l))))>
#<alt (sqrt (/ A (* V l)))>
#<alt (/ A (* V l))>
#<alt (* V l)>
Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
Calls

36 calls:

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

rewrite233.0ms (2.6%)

Memory
22.3MiB live, 426.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 672×*-lowering-*.f32
2 672×*-lowering-*.f64
2 202×accelerator-lowering-fma.f32
2 202×accelerator-lowering-fma.f64
1 488×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12522
212222
370022
4464422
0944422
Stop Event
iter limit
node limit
Counts
4 → 522
Calls
Call 1
Inputs
(* c0 (sqrt (/ A (* V l))))
(sqrt (/ A (* V l)))
(/ A (* V l))
(* V l)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal 1/2 binary64))) c0))
(neg.f64 (*.f64 c0 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 c0 (sqrt.f64 (/.f64 V A)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (sqrt.f64 V))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (neg.f64 c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A)))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (*.f64 (*.f64 c0 (sqrt.f64 A)) #s(literal 1 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(/.f64 (*.f64 c0 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64))))
(/.f64 (*.f64 c0 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(/.f64 (*.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 (*.f64 c0 (sqrt.f64 A)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 V A)))
(/.f64 (*.f64 #s(literal -1 binary64) c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c0) (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A))) #s(literal -1 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
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(fma.f64 #s(literal -1 binary64) (*.f64 V l) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) l) V #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) V) l #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))) (/.f64 #s(literal 1 binary64) (*.f64 V (*.f64 l (*.f64 V l)))) #s(literal 0 binary64))
(fma.f64 (*.f64 V (*.f64 l (*.f64 V l))) (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) l) #s(literal 0 binary64))
(neg.f64 (*.f64 V l))
(/.f64 V (/.f64 #s(literal 1 binary64) l))
(/.f64 l (/.f64 #s(literal 1 binary64) V))
(/.f64 (*.f64 V l) #s(literal 1 binary64))
(/.f64 (*.f64 V l) #s(literal -1 binary64))
(/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 V (*.f64 l (*.f64 V l))) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(/.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 #s(literal -1 binary64) V))
(/.f64 (-.f64 #s(literal 0 binary64) V) (/.f64 #s(literal -1 binary64) l))
(/.f64 (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))) (*.f64 V (*.f64 l (*.f64 V l))))
(/.f64 (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 V (*.f64 l (*.f64 V l))) #s(literal 0 binary64))))
(/.f64 (*.f64 V (*.f64 l (*.f64 V l))) (*.f64 V l))
(pow.f64 (*.f64 V l) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 V (*.f64 l (*.f64 V l))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V (*.f64 l (*.f64 V l)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 V (*.f64 l (*.f64 V l))) (*.f64 V (*.f64 l (*.f64 V l)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (*.f64 V (*.f64 l (*.f64 V l))) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))) #s(literal -1 binary64))
(*.f64 V l)
(*.f64 V (-.f64 #s(literal 0 binary64) l))
(*.f64 l V)
(*.f64 l (-.f64 #s(literal 0 binary64) V))
(*.f64 (*.f64 V l) #s(literal 1 binary64))
(*.f64 (*.f64 V l) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 V l))
(*.f64 #s(literal -1 binary64) (*.f64 V l))
(*.f64 (-.f64 #s(literal 0 binary64) l) V)
(*.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V))
(*.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) V) l)
(*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l))
(*.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))) (/.f64 #s(literal 1 binary64) (*.f64 V (*.f64 l (*.f64 V l)))))
(*.f64 (*.f64 V (*.f64 l (*.f64 V l))) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) l))

simplify63.0ms (0.7%)

Memory
-31.8MiB live, 46.8MiB allocated
Algorithm
egg-herbie
Rules
276×*-lowering-*.f32
276×*-lowering-*.f64
272×accelerator-lowering-fma.f32
272×accelerator-lowering-fma.f64
162×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017932
133868
283868
3181868
4439868
5587868
6655868
7672868
8674868
9674868
0674868
Stop Event
iter limit
saturated
Counts
144 → 144
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)

eval126.0ms (1.4%)

Memory
15.4MiB live, 90.2MiB allocated
Compiler

Compiled 8 955 to 1 757 computations (80.4% saved)

prune229.0ms (2.5%)

Memory
-11.5MiB live, 188.5MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New64125666
Fresh000
Picked011
Done000
Total64126667
Accuracy
91.4%
Counts
667 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
57.3%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
25.4%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
44.9%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
69.5%
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
69.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
23.6%
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
44.9%
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
44.9%
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
57.8%
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
56.7%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
56.7%
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
75.2%
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
55.5%
(*.f64 c0 (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 A V))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 l))))
59.8%
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
59.1%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
75.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
69.6%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
69.3%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
70.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
74.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
44.5%
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
69.4%
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
69.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
69.4%
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
71.9%
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
Compiler

Compiled 740 to 510 computations (31.1% saved)

simplify8.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 c0 (sqrt.f64 V))
cost-diff0
(/.f64 A l)
cost-diff0
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
cost-diff64
(pow.f64 (/.f64 A l) #s(literal 1/2 binary64))
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 #s(literal 1 binary64) l)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A)))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))
cost-diff0
(/.f64 A V)
cost-diff0
(/.f64 (/.f64 A V) l)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 A V) l))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
cost-diff0
(/.f64 A l)
cost-diff0
(/.f64 V (/.f64 A l))
cost-diff0
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))
cost-diff0
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
Rules
88×*-lowering-*.f32
88×*-lowering-*.f64
70×/-lowering-/.f32
70×/-lowering-/.f64
34×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028138
145138
263138
381138
492138
5143138
6161138
0161138
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* c0 (pow (/ V (/ A l)) -1/2))
c0
(pow (/ V (/ A l)) -1/2)
(/ V (/ A l))
V
(/ A l)
A
l
-1/2
(* c0 (sqrt (/ (/ A V) l)))
c0
(sqrt (/ (/ A V) l))
(/ (/ A V) l)
(/ A V)
A
V
l
(* c0 (sqrt (/ (/ 1 l) (/ V A))))
c0
(sqrt (/ (/ 1 l) (/ V A)))
(/ (/ 1 l) (/ V A))
(/ 1 l)
1
l
(/ V A)
V
A
(/ (/ c0 (sqrt l)) (sqrt (/ V A)))
(/ c0 (sqrt l))
c0
(sqrt l)
l
(sqrt (/ V A))
(/ V A)
V
A
(* (pow (/ A l) 1/2) (/ c0 (sqrt V)))
(pow (/ A l) 1/2)
(/ A l)
A
l
1/2
(/ c0 (sqrt V))
c0
(sqrt V)
V
Outputs
(* c0 (pow (/ V (/ A l)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) #s(literal -1/2 binary64)))
c0
(pow (/ V (/ A l)) -1/2)
(pow.f64 (/.f64 (*.f64 V l) A) #s(literal -1/2 binary64))
(/ V (/ A l))
(/.f64 (*.f64 V l) A)
V
(/ A l)
(/.f64 A l)
A
l
-1/2
#s(literal -1/2 binary64)
(* c0 (sqrt (/ (/ A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
c0
(sqrt (/ (/ A V) l))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/ (/ A V) l)
(/.f64 A (*.f64 V l))
(/ A V)
(/.f64 A V)
A
V
l
(* c0 (sqrt (/ (/ 1 l) (/ V A))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
c0
(sqrt (/ (/ 1 l) (/ V A)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/ (/ 1 l) (/ V A))
(/.f64 A (*.f64 V l))
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)
l
(/ V A)
(/.f64 V A)
V
A
(/ (/ c0 (sqrt l)) (sqrt (/ V A)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/ c0 (sqrt l))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt l)
(sqrt.f64 l)
l
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(/ V A)
(/.f64 V A)
V
A
(* (pow (/ A l) 1/2) (/ c0 (sqrt V)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(pow (/ A l) 1/2)
(sqrt.f64 (/.f64 A l))
(/ A l)
(/.f64 A l)
A
l
1/2
#s(literal 1/2 binary64)
(/ c0 (sqrt V))
(/.f64 c0 (sqrt.f64 V))
c0
(sqrt V)
(sqrt.f64 V)
V

localize131.0ms (1.4%)

Memory
6.6MiB live, 123.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 V)
accuracy99.9%
(/.f64 c0 (sqrt.f64 V))
accuracy98.4%
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
accuracy93.4%
(pow.f64 (/.f64 A l) #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 l)
accuracy99.9%
(/.f64 c0 (sqrt.f64 l))
accuracy98.8%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
accuracy92.7%
(sqrt.f64 (/.f64 V A))
accuracy100.0%
(/.f64 #s(literal 1 binary64) l)
accuracy99.9%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
accuracy96.7%
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))
accuracy89.4%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A)))
accuracy100.0%
(/.f64 A V)
accuracy99.9%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
accuracy96.7%
(/.f64 (/.f64 A V) l)
accuracy89.4%
(sqrt.f64 (/.f64 (/.f64 A V) l))
accuracy100.0%
(/.f64 A l)
accuracy99.9%
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
accuracy98.5%
(/.f64 V (/.f64 A l))
accuracy89.4%
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))
Samples
67.0ms185×0invalid
27.0ms71×0valid
Compiler

Compiled 148 to 30 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 16.0ms (34.1% of total)
ival-div: 15.0ms (32% of total)
ival-sqrt: 9.0ms (19.2% of total)
ival-mult: 6.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
17.2MiB live, 55.4MiB allocated
Counts
20 → 636
Calls
Call 1
Inputs
#<alt (* c0 (pow (/ V (/ A l)) -1/2))>
#<alt (pow (/ V (/ A l)) -1/2)>
#<alt (/ V (/ A l))>
#<alt (/ A l)>
#<alt (* c0 (sqrt (/ (/ A V) l)))>
#<alt (sqrt (/ (/ A V) l))>
#<alt (/ (/ A V) l)>
#<alt (/ A V)>
#<alt (/ (/ 1 l) (/ V A))>
#<alt (* c0 (sqrt (/ (/ 1 l) (/ V A))))>
#<alt (sqrt (/ (/ 1 l) (/ V A)))>
#<alt (/ 1 l)>
#<alt (/ (/ c0 (sqrt l)) (sqrt (/ V A)))>
#<alt (/ c0 (sqrt l))>
#<alt (sqrt l)>
#<alt (sqrt (/ V A))>
#<alt (pow (/ A l) 1/2)>
#<alt (* (pow (/ A l) 1/2) (/ c0 (sqrt V)))>
#<alt (/ c0 (sqrt V))>
#<alt (sqrt V)>
Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
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#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
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#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A V)>
#<alt (/ A V)>
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#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
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#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
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#<alt (* (sqrt (/ A (* V l))) c0)>
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#<alt (* (sqrt (/ A (* V l))) c0)>
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#<alt (* (sqrt (/ A (* V l))) c0)>
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#<alt (* (sqrt (/ A (* V l))) c0)>
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#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
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#<alt (* c0 (sqrt (/ 1 l)))>
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#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
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#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (sqrt (/ A l))>
#<alt (* (sqrt (/ A l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (* (sqrt (/ 1 V)) c0)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (sqrt V)>
#<alt (* -1 (* (sqrt V) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt V) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt V) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt V) (pow (sqrt -1) 2)))>
Calls

159 calls:

TimeVariablePointExpression
38.0ms
A
@inf
(/ A V)
1.0ms
A
@-inf
(pow (/ V (/ A l)) -1/2)
1.0ms
l
@-inf
(/ (/ c0 (sqrt l)) (sqrt (/ V A)))
1.0ms
c0
@0
(/ c0 (sqrt l))
1.0ms
V
@-inf
(pow (/ V (/ A l)) -1/2)

rewrite445.0ms (4.9%)

Memory
11.5MiB live, 520.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 352×*-lowering-*.f32
3 352×*-lowering-*.f64
2 290×/-lowering-/.f32
2 290×/-lowering-/.f64
1 460×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028110
1130102
2752102
35755102
08091102
Stop Event
iter limit
node limit
Counts
20 → 1 919
Calls
Call 1
Inputs
(* c0 (pow (/ V (/ A l)) -1/2))
(pow (/ V (/ A l)) -1/2)
(/ V (/ A l))
(/ A l)
(* c0 (sqrt (/ (/ A V) l)))
(sqrt (/ (/ A V) l))
(/ (/ A V) l)
(/ A V)
(/ (/ 1 l) (/ V A))
(* c0 (sqrt (/ (/ 1 l) (/ V A))))
(sqrt (/ (/ 1 l) (/ V A)))
(/ 1 l)
(/ (/ c0 (sqrt l)) (sqrt (/ V A)))
(/ c0 (sqrt l))
(sqrt l)
(sqrt (/ V A))
(pow (/ A l) 1/2)
(* (pow (/ A l) 1/2) (/ c0 (sqrt V)))
(/ c0 (sqrt V))
(sqrt V)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(neg.f64 (*.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(neg.f64 (/.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))) (sqrt.f64 V)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))))
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(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 V) c0)))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A) #s(literal -1/2 binary64)) c0) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V)))) (sqrt.f64 l))
(/.f64 (/.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (sqrt.f64 V))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V A)) (-.f64 #s(literal 0 binary64) c0))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (/.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) #s(literal -1 binary64)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V A))) #s(literal -1 binary64)) (sqrt.f64 l))
(pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 V) c0)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V A)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 V A))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 (sqrt.f64 (/.f64 A V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 A V))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V)))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(*.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0)))
(*.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 A) (/.f64 (sqrt.f64 l) c0)))
(*.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 (/.f64 A l) V) #s(literal 1/4 binary64)) (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 A) (*.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 A) (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
(*.f64 (sqrt.f64 A) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 V) c0)))
(*.f64 (sqrt.f64 A) (/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0)))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 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 V #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (/.f64 A V) #s(literal 1/4 binary64)) (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 A V) #s(literal 1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A V))) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0))))
(*.f64 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/8 binary64)) (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)) (pow.f64 (/.f64 A l) #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 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V A))) (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
(*.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (pow.f64 V #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 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (sqrt.f64 V)) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (pow.f64 (/.f64 A V) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (/.f64 c0 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 V A))))
(*.f64 (/.f64 (pow.f64 V #s(literal -1/2 binary64)) (sqrt.f64 l)) (/.f64 (sqrt.f64 A) (/.f64 #s(literal 1 binary64) c0)))
(*.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 (sqrt.f64 (/.f64 A V)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 A V)))
(*.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 A)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (-.f64 #s(literal 0 binary64) c0))
(*.f64 (*.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)) (pow.f64 (/.f64 A l) #s(literal 1/8 binary64))) (pow.f64 (/.f64 A l) #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.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 (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64))) (pow.f64 V #s(literal -1/4 binary64))) (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64))) (pow.f64 (/.f64 A V) #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (/.f64 A l) V) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V A)) (-.f64 #s(literal 0 binary64) c0))) (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) c0))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) (sqrt.f64 A)))
(*.f64 (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 V) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(neg.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 V) c0)))
(/.f64 c0 (sqrt.f64 V))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) c0))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 V) c0)))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) #s(literal -1 binary64)) (sqrt.f64 V))
(pow.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 V) c0) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 c0 (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) c0)
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) c0))
(*.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 V)))
(exp.f64 (*.f64 (log.f64 (pow.f64 V #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 V V)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 V))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(sqrt.f64 V)
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 V) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) #s(literal -1 binary64))
(pow.f64 V #s(literal 1/2 binary64))
(pow.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 V V) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 V)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (pow.f64 V #s(literal 1/4 binary64)))
(*.f64 (pow.f64 V #s(literal 1/4 binary64)) (/.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 1 binary64)))

simplify234.0ms (2.6%)

Memory
-22.6MiB live, 257.7MiB allocated
Algorithm
egg-herbie
Rules
1 244×associate-*r*
924×*-lowering-*.f32
924×*-lowering-*.f64
912×accelerator-lowering-fma.f32
912×accelerator-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0414136
1853880
22163880
34183880
49493880
512993880
615263880
716173880
816453880
916633880
1017693880
1120613880
1221093880
1321653880
1421733880
1521733880
1622693880
1730113880
1830273880
030273880
Stop Event
iter limit
saturated
Counts
636 → 636
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(/ 1 l)
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Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
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(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 V A))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 V A))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 V A))
(* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))
(* (sqrt (/ V A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A)))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A l))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A l))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A l))
(* -1 (* (sqrt (/ A l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A l)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A l)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A l)))
(* (sqrt (/ A l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A l)))
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(* (sqrt (/ 1 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(sqrt V)
(sqrt.f64 V)
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)
(* -1 (* (sqrt V) (pow (sqrt -1) 2)))
(sqrt.f64 V)

eval273.0ms (3%)

Memory
40.3MiB live, 559.5MiB allocated
Compiler

Compiled 32 781 to 2 519 computations (92.3% saved)

prune187.0ms (2%)

Memory
-27.9MiB live, 358.3MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New2 600192 619
Fresh11920
Picked235
Done011
Total2 613322 645
Accuracy
98.9%
Counts
2 645 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
26.5%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 V) (sqrt.f64 A)))
42.5%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
57.3%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
57.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0)) (sqrt.f64 (/.f64 V A)))
22.3%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
44.9%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
56.8%
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
41.2%
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
69.5%
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
75.3%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
57.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0) (sqrt.f64 (/.f64 V A))))
44.9%
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
44.9%
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
57.8%
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
56.7%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
75.0%
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
23.6%
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
74.6%
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
22.8%
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A))))
59.8%
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
63.1%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
36.8%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
45.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
63.1%
(*.f64 c0 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
69.6%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
70.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
74.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
69.4%
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
69.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
71.9%
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
Compiler

Compiled 875 to 621 computations (29% saved)

simplify11.0ms (0.1%)

Memory
28.8MiB live, 28.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) A)
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
cost-diff0
(sqrt.f64 (/.f64 V A))
cost-diff0
(pow.f64 l #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))
cost-diff0
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
cost-diff0
(sqrt.f64 (*.f64 V l))
cost-diff0
(sqrt.f64 A)
cost-diff0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
cost-diff0
(/.f64 A l)
cost-diff0
(/.f64 (/.f64 A l) V)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 A l) V))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
cost-diff0
(/.f64 A l)
cost-diff0
(/.f64 V (/.f64 A l))
cost-diff0
(sqrt.f64 (/.f64 V (/.f64 A l)))
cost-diff0
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
Rules
76×*-lowering-*.f32
76×*-lowering-*.f64
56×+-lowering-+.f64
56×+-lowering-+.f32
38×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029156
151156
274156
394156
4112156
5136156
6167156
7187156
8202156
9204156
10205156
0205156
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ c0 (sqrt (/ V (/ A l))))
c0
(sqrt (/ V (/ A l)))
(/ V (/ A l))
V
(/ A l)
A
l
(* (sqrt (/ (/ A l) V)) c0)
(sqrt (/ (/ A l) V))
(/ (/ A l) V)
(/ A l)
A
l
V
c0
(* c0 (/ (sqrt A) (sqrt (* V l))))
c0
(/ (sqrt A) (sqrt (* V l)))
(sqrt A)
A
(sqrt (* V l))
(* V l)
V
l
(* c0 (/ (pow l -1/2) (sqrt (/ V A))))
c0
(/ (pow l -1/2) (sqrt (/ V A)))
(pow l -1/2)
l
-1/2
(sqrt (/ V A))
(/ V A)
V
A
(* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* V l)))))
c0
(/ (sqrt (- 0 A)) (sqrt (- 0 (* V l))))
(sqrt (- 0 A))
(- 0 A)
0
A
(sqrt (- 0 (* V l)))
(- 0 (* V l))
(* V l)
V
l
Outputs
(/ c0 (sqrt (/ V (/ A l))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
c0
(sqrt (/ V (/ A l)))
(sqrt.f64 (/.f64 V (/.f64 A l)))
(/ V (/ A l))
(/.f64 V (/.f64 A l))
V
(/ A l)
(/.f64 A l)
A
l
(* (sqrt (/ (/ A l) V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt (/ (/ A l) V))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/ (/ A l) V)
(/.f64 A (*.f64 V l))
(/ A l)
(/.f64 A l)
A
l
V
c0
(* c0 (/ (sqrt A) (sqrt (* V l))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
c0
(/ (sqrt A) (sqrt (* V l)))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt A)
(sqrt.f64 A)
A
(sqrt (* V l))
(sqrt.f64 (*.f64 V l))
(* V l)
(*.f64 V l)
V
l
(* c0 (/ (pow l -1/2) (sqrt (/ V A))))
(/.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 V A)))
c0
(/ (pow l -1/2) (sqrt (/ V A)))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))
(pow l -1/2)
(pow.f64 l #s(literal -1/2 binary64))
l
-1/2
#s(literal -1/2 binary64)
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(/ V A)
(/.f64 V A)
V
A
(* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* V l)))))
(/.f64 (*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
c0
(/ (sqrt (- 0 A)) (sqrt (- 0 (* V l))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(sqrt (- 0 A))
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
(- 0 A)
(-.f64 #s(literal 0 binary64) A)
0
#s(literal 0 binary64)
A
(sqrt (- 0 (* V l)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(- 0 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* V l)
(*.f64 V l)
V
l

localize97.0ms (1.1%)

Memory
-31.9MiB live, 203.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
accuracy100.0%
(*.f64 V l)
accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
accuracy100.0%
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))
accuracy100.0%
(/.f64 V A)
accuracy100.0%
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
accuracy100.0%
(sqrt.f64 (/.f64 V A))
accuracy100.0%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
accuracy100.0%
(*.f64 V l)
accuracy100.0%
(sqrt.f64 (*.f64 V l))
accuracy100.0%
(sqrt.f64 A)
accuracy100.0%
(/.f64 (/.f64 A l) V)
accuracy100.0%
(/.f64 A l)
accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 A l) V))
accuracy100.0%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
accuracy100.0%
(/.f64 V (/.f64 A l))
accuracy100.0%
(/.f64 A l)
accuracy100.0%
(sqrt.f64 (/.f64 V (/.f64 A l)))
Samples
61.0ms256×0invalid
Compiler

Compiled 166 to 31 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 12.0ms (30.9% of total)
ival-sqrt: 11.0ms (28.3% of total)
ival-mult: 9.0ms (23.2% of total)
ival-pow: 4.0ms (10.3% of total)
ival-sub: 2.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
36.9MiB live, 36.9MiB allocated
Counts
22 → 684
Calls
Call 1
Inputs
#<alt (/ c0 (sqrt (/ V (/ A l))))>
#<alt (sqrt (/ V (/ A l)))>
#<alt (/ V (/ A l))>
#<alt (/ A l)>
#<alt (* (sqrt (/ (/ A l) V)) c0)>
#<alt (sqrt (/ (/ A l) V))>
#<alt (/ (/ A l) V)>
#<alt (* c0 (/ (sqrt A) (sqrt (* V l))))>
#<alt (/ (sqrt A) (sqrt (* V l)))>
#<alt (sqrt A)>
#<alt (sqrt (* V l))>
#<alt (* c0 (/ (pow l -1/2) (sqrt (/ V A))))>
#<alt (/ (pow l -1/2) (sqrt (/ V A)))>
#<alt (pow l -1/2)>
#<alt (sqrt (/ V A))>
#<alt (* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* V l)))))>
#<alt (/ (sqrt (- 0 A)) (sqrt (- 0 (* V l))))>
#<alt (sqrt (- 0 A))>
#<alt (- 0 A)>
#<alt (* V l)>
#<alt (/ V A)>
#<alt (sqrt (- 0 (* V l)))>
Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (sqrt A)>
#<alt (* -1 (* (sqrt A) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt A) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt A) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt A) (pow (sqrt -1) 2)))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (sqrt (* V l))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (sqrt (/ 1 l))>
#<alt (* (sqrt (/ 1 l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 l)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (* -1 (sqrt (/ A (* V l))))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
Calls

171 calls:

TimeVariablePointExpression
1.0ms
V
@-inf
(/ (sqrt A) (sqrt (* V l)))
0.0ms
l
@-inf
(pow l -1/2)
0.0ms
A
@-inf
(/ (pow l -1/2) (sqrt (/ V A)))
0.0ms
l
@-inf
(/ (sqrt A) (sqrt (* V l)))
0.0ms
A
@-inf
(sqrt (/ V (/ A l)))

rewrite361.0ms (4%)

Memory
-38.6MiB live, 724.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 038×*-lowering-*.f32
4 038×*-lowering-*.f64
3 754×/-lowering-/.f32
3 754×/-lowering-/.f64
2 232×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029110
1151110
2937110
09413110
Stop Event
iter limit
node limit
Counts
22 → 2 718
Calls
Call 1
Inputs
(/ c0 (sqrt (/ V (/ A l))))
(sqrt (/ V (/ A l)))
(/ V (/ A l))
(/ A l)
(* (sqrt (/ (/ A l) V)) c0)
(sqrt (/ (/ A l) V))
(/ (/ A l) V)
(* c0 (/ (sqrt A) (sqrt (* V l))))
(/ (sqrt A) (sqrt (* V l)))
(sqrt A)
(sqrt (* V l))
(* c0 (/ (pow l -1/2) (sqrt (/ V A))))
(/ (pow l -1/2) (sqrt (/ V A)))
(pow l -1/2)
(sqrt (/ V A))
(* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* V l)))))
(/ (sqrt (- 0 A)) (sqrt (- 0 (* V l))))
(sqrt (- 0 A))
(- 0 A)
(* V l)
(/ V A)
(sqrt (- 0 (* V l)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))) (/.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) c0))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)))
(neg.f64 (/.f64 (*.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 A))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V))))
(/.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 V A)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) c0))
(/.f64 (*.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 A))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) c0) (sqrt.f64 l))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (sqrt.f64 V))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 V)) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (neg.f64 (*.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (neg.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 c0 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) c0)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c0 (sqrt.f64 A))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 c0 (sqrt.f64 A)) #s(literal 1 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 V A)))
(/.f64 (*.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c0) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c0 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))) (sqrt.f64 V))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V))) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 c0 (sqrt.f64 A)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
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(fma.f64 V (/.f64 #s(literal 1 binary64) A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 V (/.f64 #s(literal 1 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 A (/.f64 V (*.f64 A A)) (*.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))))
(fma.f64 (/.f64 V A) #s(literal 1 binary64) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 V A) #s(literal 1 binary64) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 (/.f64 V A)) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 (/.f64 V A)) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 (*.f64 A A) (/.f64 V (*.f64 A (*.f64 A A)))))
(fma.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A)) (*.f64 A (/.f64 V (*.f64 A A))))
(fma.f64 (-.f64 #s(literal 0 binary64) V) (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) V) (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (*.f64 A A) (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A (*.f64 A A)))))
(fma.f64 #s(literal 1 binary64) (/.f64 V A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 V A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) A) V (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) A) V (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) A) (pow.f64 (/.f64 #s(literal 1 binary64) V) #s(literal -1 binary64)) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) A) (pow.f64 (/.f64 #s(literal 1 binary64) V) #s(literal -1 binary64)) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 V (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 V (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) A) (-.f64 #s(literal 0 binary64) V) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) A) (-.f64 #s(literal 0 binary64) V) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) (/.f64 V (/.f64 #s(literal 1 binary64) A)) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) (/.f64 V (/.f64 #s(literal 1 binary64) A)) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64) (/.f64 V A))
(fma.f64 (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 A A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 A A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 V (*.f64 A A)) A (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 V (*.f64 A A)) A (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64) (/.f64 V A))
(fma.f64 (/.f64 V (-.f64 #s(literal 0 binary64) (*.f64 A A))) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 V (-.f64 #s(literal 0 binary64) (*.f64 A A))) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A)))) (/.f64 V (/.f64 #s(literal 1 binary64) (*.f64 A A))) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A)))) (/.f64 V (/.f64 #s(literal 1 binary64) (*.f64 A A))) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A A)) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A A)) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A (*.f64 A A))) (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A (*.f64 A A))) (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A (*.f64 A A)))) (*.f64 A A) (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A (*.f64 A A)))) (*.f64 A A) (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) A) A (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) A) A (*.f64 (/.f64 V (*.f64 A A)) #s(literal 0 binary64)))
(neg.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (-.f64 #s(literal 0 binary64) A))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 A V)))
(/.f64 V A)
(/.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) A))
(/.f64 #s(literal 1 binary64) (/.f64 A V))
(/.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 #s(literal 1 binary64) V))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A V)))
(/.f64 (/.f64 V (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (*.f64 A A)))
(/.f64 (/.f64 V (*.f64 A A)) (/.f64 #s(literal 1 binary64) A))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 (*.f64 A (*.f64 A A)) (*.f64 A (*.f64 A A)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (*.f64 A (*.f64 A (*.f64 A A)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A (*.f64 A (*.f64 A A)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (*.f64 A A)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A (*.f64 A A))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (-.f64 #s(literal 0 binary64) (*.f64 A A))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) (*.f64 A A))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (-.f64 #s(literal 0 binary64) A)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A (*.f64 A A))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 A A)))
(/.f64 (*.f64 V #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A A)) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) A) (-.f64 #s(literal 0 binary64) (*.f64 A A)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 (*.f64 A (*.f64 A A)) (*.f64 A (*.f64 A A)))) (*.f64 A (*.f64 A (*.f64 A A))))
(/.f64 (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 A (*.f64 A (*.f64 A A)))) (*.f64 A A))
(/.f64 (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A (*.f64 A A))))) (-.f64 #s(literal 0 binary64) (*.f64 A A)))
(/.f64 (*.f64 (/.f64 V (*.f64 A A)) (-.f64 #s(literal 0 binary64) (*.f64 A A))) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 (/.f64 V (*.f64 A A)) (*.f64 A (*.f64 A A))) (*.f64 A A))
(pow.f64 (/.f64 A V) #s(literal -1 binary64))
(*.f64 V (/.f64 #s(literal 1 binary64) A))
(*.f64 (/.f64 V A) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 (/.f64 V A)))
(*.f64 (-.f64 #s(literal 0 binary64) V) (/.f64 #s(literal -1 binary64) A))
(*.f64 #s(literal 1 binary64) (/.f64 V A))
(*.f64 (/.f64 #s(literal 1 binary64) A) V)
(*.f64 (/.f64 #s(literal 1 binary64) A) (pow.f64 (/.f64 #s(literal 1 binary64) V) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 V (-.f64 #s(literal 0 binary64) A)))
(*.f64 (/.f64 #s(literal -1 binary64) A) (-.f64 #s(literal 0 binary64) V))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) (/.f64 V (/.f64 #s(literal 1 binary64) A)))
(*.f64 (/.f64 V (*.f64 A (*.f64 A A))) (*.f64 A A))
(*.f64 (/.f64 V (*.f64 A A)) A)
(*.f64 (/.f64 V (-.f64 #s(literal 0 binary64) (*.f64 A A))) (-.f64 #s(literal 0 binary64) A))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A)))) (/.f64 V (/.f64 #s(literal 1 binary64) (*.f64 A A))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) A))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A A)) (-.f64 #s(literal 0 binary64) A))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 A (*.f64 A A))) (-.f64 #s(literal 0 binary64) (*.f64 A A)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (/.f64 #s(literal -1 binary64) A))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A (*.f64 A A)))) (*.f64 A A))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A)
(*.f64 (*.f64 (/.f64 V (*.f64 A (*.f64 A A))) A) A)
(exp.f64 (*.f64 (log.f64 (*.f64 V l)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 V l))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (*.f64 V l) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 V l) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (*.f64 V l))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))) (*.f64 V l))
(/.f64 (sqrt.f64 (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))) (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))))) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l))))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64))) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 V l) #s(literal 1/2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 V (*.f64 l (*.f64 V l))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 V l))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(*.f64 (sqrt.f64 V) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 V) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 (sqrt.f64 l) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 V (*.f64 V l))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 V (*.f64 V l)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) (*.f64 V l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 l))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)) (sqrt.f64 V))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (sqrt.f64 l))

simplify132.0ms (1.5%)

Memory
18.5MiB live, 291.5MiB allocated
Algorithm
egg-herbie
Rules
608×*-lowering-*.f32
608×*-lowering-*.f64
596×accelerator-lowering-fma.f32
596×accelerator-lowering-fma.f64
338×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0434336
1984180
22414176
34134176
48534176
511144176
612464176
713204176
813704176
913864176
1013884176
013884176
Stop Event
iter limit
saturated
Counts
684 → 684
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (*.f64 V l) A)))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (*.f64 V l) A)))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (*.f64 V l) A)))
(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (*.f64 V l) A)))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(/ A l)
(/.f64 A l)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
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(sqrt (/ A (* V l)))
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(sqrt (/ A (* V l)))
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(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
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(* (sqrt A) (sqrt -1))
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(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
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(*.f64 V l)
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(*.f64 V l)
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(*.f64 V l)
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(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
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eval442.0ms (4.8%)

Memory
44.1MiB live, 858.9MiB allocated
Compiler

Compiled 61 146 to 7 234 computations (88.2% saved)

prune406.0ms (4.5%)

Memory
-34.6MiB live, 852.8MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New3 754133 767
Fresh121123
Picked235
Done224
Total3 770293 799
Accuracy
98.9%
Counts
3 799 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
42.5%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
22.3%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
44.9%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
56.8%
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
41.2%
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
45.6%
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
59.8%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
74.6%
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
69.8%
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
75.3%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
74.6%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
70.2%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
71.9%
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
57.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0) (sqrt.f64 (/.f64 V A))))
44.9%
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
22.8%
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64))) c0)
56.7%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
62.4%
(*.f64 (*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64))) c0)
75.0%
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
23.6%
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
57.2%
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal 1/2 binary64)))))
63.1%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
20.1%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))))
36.8%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
45.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
70.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
69.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 803 to 567 computations (29.4% saved)

simplify209.0ms (2.3%)

Memory
52.0MiB live, 349.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V)))))
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))))
cost-diff256
(/.f64 (*.f64 V (*.f64 V l)) l)
cost-diff256
(*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
cost-diff0
(sqrt.f64 (neg.f64 A))
cost-diff0
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
cost-diff0
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
cost-diff0
(/.f64 V A)
cost-diff0
(sqrt.f64 (/.f64 V A))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
cost-diff0
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
cost-diff0
(/.f64 V A)
cost-diff0
(*.f64 (/.f64 V A) l)
cost-diff0
(sqrt.f64 (*.f64 (/.f64 V A) l))
cost-diff0
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
cost-diff0
(/.f64 V (/.f64 A l))
cost-diff0
(sqrt.f64 (/.f64 V (/.f64 A l)))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
Rules
4 222×neg-lowering-neg.f64
4 222×neg-lowering-neg.f32
4 064×*-lowering-*.f32
4 064×*-lowering-*.f64
2 774×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036196
179196
2153190
3426188
41569188
52970188
63978188
08982188
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (sqrt (/ V (/ A l))) c0))
1
(/ (sqrt (/ V (/ A l))) c0)
(sqrt (/ V (/ A l)))
(/ V (/ A l))
V
(/ A l)
A
l
c0
(/ c0 (sqrt (* (/ V A) l)))
c0
(sqrt (* (/ V A) l))
(* (/ V A) l)
(/ V A)
V
A
l
(/ c0 (* (sqrt (/ V A)) (sqrt l)))
c0
(* (sqrt (/ V A)) (sqrt l))
(sqrt (/ V A))
(/ V A)
V
A
(sqrt l)
l
(* c0 (/ (sqrt (neg A)) (sqrt (- 0 (* V l)))))
c0
(/ (sqrt (neg A)) (sqrt (- 0 (* V l))))
(sqrt (neg A))
(neg A)
A
(sqrt (- 0 (* V l)))
(- 0 (* V l))
0
(* V l)
V
l
(* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))))
c0
(/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V)))))
(sqrt (- 0 A))
(- 0 A)
0
A
(sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))
(- 0 (* (/ (* V (* V l)) l) (/ l V)))
(* (/ (* V (* V l)) l) (/ l V))
(/ (* V (* V l)) l)
(* V (* V l))
V
(* V l)
l
(/ l V)
Outputs
(/ 1 (/ (sqrt (/ V (/ A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
1
#s(literal 1 binary64)
(/ (sqrt (/ V (/ A l))) c0)
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(sqrt (/ V (/ A l)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(/ V (/ A l))
(/.f64 (*.f64 V l) A)
V
(/ A l)
(/.f64 A l)
A
l
c0
(/ c0 (sqrt (* (/ V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
c0
(sqrt (* (/ V A) l))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* (/ V A) l)
(/.f64 (*.f64 V l) A)
(/ V A)
(/.f64 V A)
V
A
l
(/ c0 (* (sqrt (/ V A)) (sqrt l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
c0
(* (sqrt (/ V A)) (sqrt l))
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
(sqrt (/ V A))
(sqrt.f64 (/.f64 V A))
(/ V A)
(/.f64 V A)
V
A
(sqrt l)
(sqrt.f64 l)
l
(* c0 (/ (sqrt (neg A)) (sqrt (- 0 (* V l)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
c0
(/ (sqrt (neg A)) (sqrt (- 0 (* V l))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(sqrt (neg A))
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
(neg A)
(-.f64 #s(literal 0 binary64) A)
A
(sqrt (- 0 (* V l)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(- 0 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
0
#s(literal 0 binary64)
(* V l)
(*.f64 V l)
V
l
(* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
c0
(/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(sqrt (- 0 A))
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
(- 0 A)
(-.f64 #s(literal 0 binary64) A)
0
#s(literal 0 binary64)
A
(sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(- 0 (* (/ (* V (* V l)) l) (/ l V)))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* (/ (* V (* V l)) l) (/ l V))
(*.f64 V l)
(/ (* V (* V l)) l)
(*.f64 V V)
(* V (* V l))
(*.f64 V (*.f64 V l))
V
(* V l)
(*.f64 V l)
l
(/ l V)
(/.f64 l V)

localize146.0ms (1.6%)

Memory
5.9MiB live, 244.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))))
accuracy95.9%
(/.f64 (*.f64 V (*.f64 V l)) l)
accuracy89.3%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))
accuracy82.6%
(*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))
accuracy100.0%
(neg.f64 A)
accuracy99.7%
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
accuracy99.1%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
accuracy89.3%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
accuracy100.0%
(sqrt.f64 l)
accuracy99.8%
(*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))
accuracy98.8%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
accuracy89.6%
(sqrt.f64 (/.f64 V A))
accuracy100.0%
(/.f64 V A)
accuracy98.8%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
accuracy97.0%
(*.f64 (/.f64 V A) l)
accuracy87.0%
(sqrt.f64 (*.f64 (/.f64 V A) l))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
accuracy98.8%
(/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)
accuracy96.9%
(/.f64 V (/.f64 A l))
accuracy87.0%
(sqrt.f64 (/.f64 V (/.f64 A l)))
Samples
56.0ms140×0invalid
37.0ms116×0valid
Compiler

Compiled 248 to 38 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 42.0ms (60.2% of total)
ival-sqrt: 12.0ms (17.2% of total)
ival-mult: 10.0ms (14.3% of total)
ival-sub: 3.0ms (4.3% of total)
ival-neg: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-34.0MiB live, 43.0MiB allocated
Counts
22 → 720
Calls
Call 1
Inputs
#<alt (/ 1 (/ (sqrt (/ V (/ A l))) c0))>
#<alt (/ (sqrt (/ V (/ A l))) c0)>
#<alt (sqrt (/ V (/ A l)))>
#<alt (/ V (/ A l))>
#<alt (/ c0 (sqrt (* (/ V A) l)))>
#<alt (sqrt (* (/ V A) l))>
#<alt (* (/ V A) l)>
#<alt (/ V A)>
#<alt (/ c0 (* (sqrt (/ V A)) (sqrt l)))>
#<alt (* (sqrt (/ V A)) (sqrt l))>
#<alt (sqrt (/ V A))>
#<alt (* c0 (/ (sqrt (neg A)) (sqrt (- 0 (* V l)))))>
#<alt (/ (sqrt (neg A)) (sqrt (- 0 (* V l))))>
#<alt (sqrt (neg A))>
#<alt (sqrt (- 0 (* V l)))>
#<alt (* (/ (* V (* V l)) l) (/ l V))>
#<alt (/ (* V (* V l)) l)>
#<alt (* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))))>
#<alt (/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V)))))>
#<alt (sqrt l)>
#<alt (neg A)>
#<alt (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))>
Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
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#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
Calls

180 calls:

TimeVariablePointExpression
6.0ms
V
@0
(/ (* V (* V l)) l)
2.0ms
A
@inf
(/ 1 (/ (sqrt (/ V (/ A l))) c0))
1.0ms
V
@-inf
(/ (sqrt (/ V (/ A l))) c0)
1.0ms
c0
@0
(/ (sqrt (/ V (/ A l))) c0)
1.0ms
V
@0
(/ (sqrt (/ V (/ A l))) c0)

rewrite237.0ms (2.6%)

Memory
35.5MiB live, 427.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 550×*-lowering-*.f32
4 550×*-lowering-*.f64
3 192×accelerator-lowering-fma.f32
3 192×accelerator-lowering-fma.f64
2 176×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036134
1200122
21427118
08961118
Stop Event
iter limit
node limit
Counts
22 → 1 336
Calls
Call 1
Inputs
(/ 1 (/ (sqrt (/ V (/ A l))) c0))
(/ (sqrt (/ V (/ A l))) c0)
(sqrt (/ V (/ A l)))
(/ V (/ A l))
(/ c0 (sqrt (* (/ V A) l)))
(sqrt (* (/ V A) l))
(* (/ V A) l)
(/ V A)
(/ c0 (* (sqrt (/ V A)) (sqrt l)))
(* (sqrt (/ V A)) (sqrt l))
(sqrt (/ V A))
(* c0 (/ (sqrt (neg A)) (sqrt (- 0 (* V l)))))
(/ (sqrt (neg A)) (sqrt (- 0 (* V l))))
(sqrt (neg A))
(sqrt (- 0 (* V l)))
(* (/ (* V (* V l)) l) (/ l V))
(/ (* V (* V l)) l)
(* c0 (/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))))
(/ (sqrt (- 0 A)) (sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V)))))
(sqrt l)
(neg A)
(sqrt (- 0 (* (/ (* V (* V l)) l) (/ l V))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V A)) (/.f64 c0 (sqrt.f64 l))))
(/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (sqrt.f64 l))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(/.f64 (/.f64 c0 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) c0))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(/.f64 (neg.f64 (/.f64 c0 (sqrt.f64 l))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64))
(pow.f64 (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))) c0))
(*.f64 (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
(*.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 A) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) c0)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 l) c0) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) c0)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) c0))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) c0) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) c0) #s(literal 1 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c0) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 V))) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal -1/2 binary64)))
(*.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) c0)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c0)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (sqrt.f64 V)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) c0)))
(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)
(/.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal 1 binary64))
(/.f64 (sqrt.f64 l) (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 V) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0))
(/.f64 (sqrt.f64 V) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) c0))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))) (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (neg.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (neg.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 c0 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) c0) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (sqrt.f64 V) c0) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 V) c0)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal 1 binary64))
(pow.f64 (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) c0) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0))
(*.f64 (sqrt.f64 (/.f64 V A)) (*.f64 (/.f64 (sqrt.f64 l) c0) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 V A)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 #s(literal -1 binary64) c0)))
(*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (/.f64 V A)) c0))
(*.f64 (sqrt.f64 l) (*.f64 (/.f64 (sqrt.f64 (/.f64 V A)) c0) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 l) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) c0)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (/.f64 #s(literal 1 binary64) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 V) (/.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 V) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0)))
(*.f64 (sqrt.f64 V) (*.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (sqrt.f64 V) (*.f64 (pow.f64 A #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) c0))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) c0) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) c0)) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (sqrt.f64 V))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A)))) (sqrt.f64 (*.f64 V (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) A) A))))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (*.f64 (*.f64 V l) A))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l))
(/.f64 (pow.f64 V #s(literal -1/2 binary64)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (pow.f64 l #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) V) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 A l) (-.f64 #s(literal 0 binary64) V)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 A l) (-.f64 #s(literal 0 binary64) V))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 A) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 A (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l)))))) #s(literal 1/2 binary64)) (*.f64 V l))
(*.f64 (pow.f64 (/.f64 A (*.f64 V (*.f64 V (*.f64 l l)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l))))))) (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V (*.f64 V (*.f64 l l))))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 A))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (sqrt.f64 A)) (pow.f64 l #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(sqrt.f64 l)
(pow.f64 l #s(literal 1/2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) A))
(-.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) A)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) A) #s(literal 0 binary64))
(fma.f64 A #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) A #s(literal 0 binary64))
(fma.f64 (*.f64 A (*.f64 A A)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 A A))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (*.f64 A A)) #s(literal 0 binary64))
(fma.f64 (*.f64 A A) (/.f64 #s(literal -1 binary64) A) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 #s(literal 1 binary64) A) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) A) #s(literal 0 binary64))
(neg.f64 A)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) A))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) A) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) A))
(/.f64 (*.f64 A (*.f64 A A)) (-.f64 #s(literal 0 binary64) (*.f64 A A)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (*.f64 A A))
(/.f64 (*.f64 A A) (-.f64 #s(literal 0 binary64) A))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) A)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 A A) (*.f64 A (*.f64 A A)))) (*.f64 A (*.f64 A (*.f64 A A))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) #s(literal 0 binary64)) (+.f64 (*.f64 A A) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) A) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) A))
(*.f64 A #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) A)
(*.f64 (*.f64 A (*.f64 A A)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 A A))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (*.f64 A A)))
(*.f64 (*.f64 A A) (/.f64 #s(literal -1 binary64) A))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 #s(literal 1 binary64) A))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) A))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 V l) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l)))))))
(/.f64 (*.f64 V l) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l))))))) (*.f64 V l))
(/.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l))))) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 V (*.f64 V l))) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V V))) (sqrt.f64 (/.f64 V l)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V l)))) (sqrt.f64 V))
(/.f64 (sqrt.f64 (*.f64 V (*.f64 l l))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l)))))) (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l)))) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l)))))))) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l)))))) (neg.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 V (*.f64 V (*.f64 l l))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(*.f64 (sqrt.f64 l) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 (sqrt.f64 V) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l))))))) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V (*.f64 V (*.f64 l l)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V (*.f64 l (*.f64 V (*.f64 l l))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V (*.f64 V (*.f64 l l))))))
(*.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(*.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l l))))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)) (sqrt.f64 V))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 l))
(*.f64 (pow.f64 (*.f64 V V) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 l V)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 l V)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 V V) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 l V) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V V)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V V)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 l V) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V l))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) V) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 V V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l V))))
(*.f64 (sqrt.f64 (/.f64 l V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V V))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l V))) (sqrt.f64 (*.f64 V V)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V V))) (sqrt.f64 (/.f64 l V)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 V l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) V)))

simplify203.0ms (2.2%)

Memory
-65.8MiB live, 260.1MiB allocated
Algorithm
egg-herbie
Rules
1 038×times-frac
882×*-lowering-*.f32
882×*-lowering-*.f64
868×accelerator-lowering-fma.f32
868×accelerator-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0424768
1964600
22234600
34414600
410614600
528444600
634444600
737654600
839424600
940724600
1040874600
1143554600
1244974600
1344974600
1444974600
044974600
Stop Event
iter limit
saturated
Counts
720 → 720
Calls
Call 1
Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
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(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
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(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
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(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
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(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
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(* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))
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(* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))
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(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (-.f64 #s(literal 0 binary64) c0))
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(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
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(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
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(/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)
(* (sqrt (/ (* V l) A)) (/ 1 c0))
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(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
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(sqrt (/ (* V l) A))
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(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
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(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 A l) V)))
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 V l)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))

eval214.0ms (2.4%)

Memory
22.5MiB live, 355.6MiB allocated
Compiler

Compiled 29 822 to 3 505 computations (88.2% saved)

prune184.0ms (2%)

Memory
5.4MiB live, 329.0MiB allocated
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New2 13732 140
Fresh21719
Picked145
Done055
Total2 140292 169
Accuracy
98.9%
Counts
2 169 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
42.5%
(/.f64 (/.f64 c0 (sqrt.f64 l)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
22.3%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
44.9%
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
56.8%
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
41.2%
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
45.6%
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
59.8%
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
36.8%
(/.f64 c0 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
57.2%
(/.f64 c0 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal 1/2 binary64))) (sqrt.f64 l)))
74.6%
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
69.8%
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
75.3%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
74.6%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
70.2%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
71.9%
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
57.1%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0)))
44.9%
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
22.8%
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64))) c0)
56.7%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
62.4%
(*.f64 (*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64))) c0)
75.0%
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
23.6%
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
63.1%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
36.8%
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
45.6%
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
70.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
69.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 1 096 to 506 computations (53.8% saved)

regimes138.0ms (1.5%)

Memory
6.7MiB live, 200.1MiB allocated
Counts
61 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0)))
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0) (sqrt.f64 (/.f64 V A))))
(*.f64 c0 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64))) c0)
(/.f64 c0 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
(*.f64 (*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 V) (sqrt.f64 A)))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 c0 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal 1/2 binary64))) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 V A)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 (sqrt.f64 l) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 A V))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 l))))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 V) (sqrt.f64 A)))
Calls

8 calls:

19.0ms
l
18.0ms
A
17.0ms
c0
16.0ms
V
16.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
75.3%1c0
88.1%2A
89.6%2V
83.8%2l
81.6%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
82.4%3(sqrt.f64 (/.f64 A (*.f64 V l)))
82.4%3(/.f64 A (*.f64 V l))
90.6%4(*.f64 V l)
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes21.0ms (0.2%)

Memory
-4.0MiB live, 34.9MiB allocated
Counts
54 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0)))
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0) (sqrt.f64 (/.f64 V A))))
(*.f64 c0 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64))) c0)
(/.f64 c0 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
(*.f64 (*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
Calls

1 calls:

15.0ms
V
Results
AccuracySegmentsBranch
88.5%2V
Compiler

Compiled 5 to 4 computations (20% saved)

regimes50.0ms (0.5%)

Memory
-3.0MiB live, 76.2MiB allocated
Counts
53 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0)))
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0) (sqrt.f64 (/.f64 V A))))
(*.f64 c0 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64))) c0)
(/.f64 c0 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) c0) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) V) A)))
(*.f64 (*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 V (*.f64 V l)) l) (/.f64 l V))))))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

3 calls:

16.0ms
A
14.0ms
V
14.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
89.9%4(*.f64 V l)
85.2%2A
87.5%2V
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes28.0ms (0.3%)

Memory
1.2MiB live, 39.6MiB allocated
Counts
44 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0)))
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
Calls

2 calls:

12.0ms
V
11.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
89.5%4(*.f64 V l)
79.3%2V
Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.4%)

Memory
22.3MiB live, 60.6MiB allocated
Counts
42 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(*.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 A #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 V A)) (/.f64 (sqrt.f64 l) c0)))
(/.f64 c0 (exp.f64 (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0)) (sqrt.f64 (/.f64 V A)))
Outputs
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A)))
Calls

3 calls:

12.0ms
A
12.0ms
l
11.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
81.1%2l
83.0%2A
83.2%3(*.f64 V l)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes18.0ms (0.2%)

Memory
-28.3MiB live, 21.9MiB allocated
Counts
35 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) c0))
(*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 V)))
Outputs
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

1 calls:

15.0ms
A
Results
AccuracySegmentsBranch
83.0%2A
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
24 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

1 calls:

7.0ms
A
Results
AccuracySegmentsBranch
82.3%2A
Compiler

Compiled 5 to 4 computations (20% saved)

regimes33.0ms (0.4%)

Memory
14.4MiB live, 52.9MiB allocated
Counts
21 → 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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Outputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

5 calls:

7.0ms
(*.f64 V l)
6.0ms
A
6.0ms
l
6.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
6.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
75.3%1(sqrt.f64 (/.f64 A (*.f64 V l)))
75.3%1(/.f64 A (*.f64 V l))
75.3%1l
80.6%2(*.f64 V l)
79.7%2A
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes25.0ms (0.3%)

Memory
1.6MiB live, 40.6MiB allocated
Counts
20 → 1
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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 l A) (/.f64 #s(literal 1 binary64) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 A V) l) #s(literal -1/2 binary64)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (*.f64 (*.f64 V l) (/.f64 A l))) (*.f64 (*.f64 V l) (-.f64 #s(literal 0 binary64) V)))))
Outputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
Calls

4 calls:

7.0ms
(*.f64 V l)
6.0ms
V
6.0ms
A
5.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
75.3%1V
75.3%1A
75.3%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
75.3%1(*.f64 V l)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes23.0ms (0.2%)

Memory
-38.1MiB live, 41.2MiB allocated
Counts
6 → 1
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 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
Calls

8 calls:

4.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
3.0ms
(*.f64 V l)
3.0ms
l
3.0ms
A
3.0ms
c0
Results
AccuracySegmentsBranch
75.0%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
75.0%1(sqrt.f64 (/.f64 A (*.f64 V l)))
75.0%1(/.f64 A (*.f64 V l))
75.0%1c0
75.0%1A
75.0%1V
75.0%1l
75.0%1(*.f64 V l)
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes12.0ms (0.1%)

Memory
25.3MiB live, 25.3MiB 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

8 calls:

2.0ms
l
2.0ms
c0
2.0ms
V
2.0ms
A
1.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
71.9%2V
77.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
77.1%3(sqrt.f64 (/.f64 A (*.f64 V l)))
77.1%3(/.f64 A (*.f64 V l))
71.5%2c0
72.3%2A
69.6%1l
72.9%2(*.f64 V l)
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes11.0ms (0.1%)

Memory
-15.8MiB live, 22.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

2.0ms
A
1.0ms
l
1.0ms
V
1.0ms
c0
1.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
69.5%1l
69.5%1c0
69.5%1V
69.5%1A
69.5%1(*.f64 V l)
69.5%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
69.5%1(sqrt.f64 (/.f64 A (*.f64 V l)))
69.5%1(/.f64 A (*.f64 V l))
Compiler

Compiled 58 to 42 computations (27.6% saved)

bsearch36.0ms (0.4%)

Memory
31.4MiB live, 69.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
-1.2596692197996862e-303
2.453021498504443e-308
Samples
14.0ms270×0invalid
8.0ms144×0valid
Compiler

Compiled 312 to 231 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (46.6% of total)
ival-div: 3.0ms (28% of total)
ival-sqrt: 3.0ms (28% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Memory
-22.3MiB live, 52.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-1.2596692197996862e-303
2.453021498504443e-308
Samples
13.0ms144×0valid
12.0ms233×0invalid
Compiler

Compiled 312 to 231 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sqrt: 8.0ms (52.6% of total)
ival-mult: 4.0ms (26.3% of total)
ival-div: 3.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
17.6MiB live, 55.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
-1.2596692197996862e-303
2.453021498504443e-308
Samples
16.0ms219×0invalid
8.0ms144×0valid
Compiler

Compiled 303 to 222 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (59.7% of total)
ival-div: 3.0ms (22.4% of total)
ival-sqrt: 2.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3489404134171995e-273
2.9407652013102822e-260
0.0ms
-1.8241657424160465e-266
-5.071694657923304e-304
0.0ms
-inf
-8.95543740036692e+299
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch28.0ms (0.3%)

Memory
5.4MiB live, 43.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-2.3132625539876615e-307
1.6873020863937855e-302
Samples
12.0ms144×0valid
7.0ms132×0invalid
Compiler

Compiled 276 to 204 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41% of total)
ival-div: 2.0ms (27.3% of total)
ival-sqrt: 2.0ms (27.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
-2.4MiB live, 35.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-2.3132625539876615e-307
1.6873020863937855e-302
Samples
10.0ms128×0invalid
8.0ms144×0valid
Compiler

Compiled 267 to 195 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.5% of total)
ival-div: 2.0ms (18.7% of total)
ival-sqrt: 2.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-8.3MiB live, 36.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-2.3132625539876615e-307
1.6873020863937855e-302
Samples
13.0ms144×0valid
7.0ms133×0invalid
Compiler

Compiled 267 to 195 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.9% of total)
ival-div: 2.0ms (27.2% of total)
ival-sqrt: 2.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.4e-323
7.26e-322
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8411329198671372e+304
+inf
0.0ms
0.0
8.69435690024767e-309
Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.2%)

Memory
-16.1MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
10×neg-mul-1_binary64
sub0-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085277
1113277
2128277
3134277
4136277
5137277
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 V #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (/.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 V) (sqrt.f64 A))))
(if (<=.f64 V #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l)))
(if (<=.f64 V #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))) (if (<=.f64 (*.f64 V l) #s(literal 152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A))))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 (*.f64 V l) #s(literal 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (/.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 V) (sqrt.f64 A))))
(if (<=.f64 V #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l)))
(if (<=.f64 V #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (/.f64 (*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 V))) (sqrt.f64 l)))
(if (<=.f64 V #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))) (if (<=.f64 (*.f64 V l) #s(literal 152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) #s(literal -inf.0 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))) (if (<=.f64 (*.f64 V l) #s(literal 152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) (/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A))))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (/.f64 c0 (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 A))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 (*.f64 V l) #s(literal 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 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))))

soundness1.4s (14.9%)

Memory
37.3MiB live, 668.7MiB allocated
Rules
4 038×*-lowering-*.f32
4 038×*-lowering-*.f64
3 754×/-lowering-/.f32
3 754×/-lowering-/.f64
3 352×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
1130102
2752102
35755102
08091102
029110
1151110
2937110
09413110
0822
12522
212222
370022
4464422
0944422
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 779 to 432 computations (44.5% saved)

preprocess224.0ms (2.5%)

Memory
-32.0MiB live, 153.6MiB allocated
Remove

(negabs c0)

Compiler

Compiled 988 to 438 computations (55.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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