Henrywood and Agarwal, Equation (3)

Time bar (total: 10.0s)

analyze383.0ms (3.8%)

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 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 34.0ms (42.5% of total)
ival-div: 24.0ms (30% of total)
ival-sqrt: 19.0ms (23.8% of total)
const: 2.0ms (2.5% of total)
backward-pass: 1.0ms (1.3% of total)

sample1.7s (17.1%)

Results
696.0ms8256×0valid
512.0ms6813×0invalid
Precisions
Click to see histograms. Total time spent on operations: 504.0ms
ival-mult: 244.0ms (48.4% of total)
ival-div: 130.0ms (25.8% of total)
ival-sqrt: 110.0ms (21.8% of total)
const: 15.0ms (3% of total)
backward-pass: 6.0ms (1.2% of total)
Bogosity

preprocess75.0ms (0.7%)

Algorithm
egg-herbie
Rules
2170×fnmadd-define
2100×fma-define
1458×sum3-define
1038×fnmsub-define
960×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051130
1120130
2195130
3406130
4938130
52689130
64852130
77760130
088
1128
2148
0148
Stop Event
iter limit
saturated
node limit
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)

explain95.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
530-1(7.333632231070238e-40 1.3999775283551739e-170 5.580759152257864e-5 2.648286389180047e+147)(sqrt.f64 (/.f64 A (*.f64 V l)))
200-2(4.304491040828546e-182 4.33471310631984e-144 8.570110496772256e-299 1.7821812112855993e-20)(/.f64 A (*.f64 V l))
40-0-(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
00-0-c0
00-0-l
00-0-A
00-0-(*.f64 V l)
00-0-V
Results
68.0ms512×0valid
Compiler

Compiled 74 to 26 computations (64.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48% of total)
ival-div: 7.0ms (30.6% of total)
ival-sqrt: 4.0ms (17.5% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

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

localize39.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 V l)
accuracy98.2%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
accuracy92.5%
(/.f64 A (*.f64 V l))
accuracy80.8%
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
31.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.1% of total)
ival-div: 2.0ms (24.6% of total)
ival-sqrt: 2.0ms (24.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

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
4.0ms
V
@0
(* c0 (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
c0
@inf
(* c0 (sqrt (/ A (* V l))))

rewrite285.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
2582×*-lowering-*.f32
2582×*-lowering-*.f64
1776×/-lowering-/.f32
1776×/-lowering-/.f64
1544×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12522
212622
373622
4481222
0821022
Stop Event
iter limit
node limit
Counts
4 → 447
Calls
Call 1
Inputs
(* c0 (sqrt (/ A (* V l))))
(sqrt (/ A (* V l)))
(/ A (* V l))
(* V l)
Outputs
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))
(neg.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))
(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 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) #s(literal 1 binary64)))
(/.f64 #s(literal 1 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 (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 (sqrt.f64 (/.f64 V (/.f64 A l))) 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)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.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 (sqrt.f64 (/.f64 V A))) (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 V l) #s(literal 1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (neg.f64 c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.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 (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 (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 c0 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 c0 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 V (/.f64 l (-.f64 #s(literal 0 binary64) A)))))
(/.f64 (*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 c0 (-.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 (*.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))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(/.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 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(/.f64 (*.f64 #s(literal -1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c0) (sqrt.f64 (*.f64 V (/.f64 l (-.f64 #s(literal 0 binary64) A)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(/.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 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(/.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)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 V))
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(pow.f64 (/.f64 (/.f64 A (*.f64 V l)) (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 V (/.f64 A l)) (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 A (*.f64 V l)) (/.f64 V (/.f64 A l))) (/.f64 (/.f64 A (*.f64 V l)) (/.f64 V (/.f64 A l)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 V (/.f64 A l))))
(*.f64 A (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 (/.f64 A (*.f64 V l)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (/.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 A) (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 #s(literal -1 binary64) (*.f64 V l)))
(*.f64 #s(literal 1 binary64) (/.f64 A (*.f64 V l)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (exp.f64 (log.f64 A)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (*.f64 (sqrt.f64 A) (sqrt.f64 A)))
(*.f64 (/.f64 A V) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 A V) (/.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) A)))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) A))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (*.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (/.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)) (-.f64 #s(literal 0 binary64) A))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)) (pow.f64 (/.f64 #s(literal -1 binary64) A) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 A V))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (/.f64 A V) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 A l))
(*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 (/.f64 A l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))) #s(literal -1 binary64))
(*.f64 (/.f64 A l) (/.f64 #s(literal 1 binary64) V))
(*.f64 (/.f64 A l) (/.f64 (/.f64 #s(literal 1 binary64) V) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 #s(literal -1 binary64) V))
(*.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 A V)))
(*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (-.f64 #s(literal 0 binary64) (/.f64 A l)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) A) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 V l)))
(*.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) V))
(*.f64 (exp.f64 (log.f64 A)) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) A))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
(*.f64 (exp.f64 (log.f64 (/.f64 A V))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) l))))
(*.f64 (/.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) A)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) (/.f64 A V))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) #s(literal 1 binary64)) (/.f64 A l))
(*.f64 (*.f64 (sqrt.f64 A) (sqrt.f64 A)) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 V l)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)) (-.f64 #s(literal 0 binary64) (sqrt.f64 A))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 A V)))
(*.f64 (*.f64 A (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (sqrt.f64 (/.f64 A V))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (-.f64 #s(literal 0 binary64) (sqrt.f64 A))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (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 (/.f64 #s(literal -1 binary64) l) A) (/.f64 #s(literal -1 binary64) V))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) #s(literal -1 binary64)) (/.f64 A V))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (*.f64 V (*.f64 l (*.f64 V l))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l (*.f64 V l))))) (*.f64 V l))
(+.f64 (*.f64 V l) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 V l))
(exp.f64 (log.f64 (*.f64 V l)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(fma.f64 V l #s(literal 0 binary64))
(fma.f64 l V #s(literal 0 binary64))
(fma.f64 (*.f64 V l) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 V l) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V l)) #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) (-.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 #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 #s(literal 0 binary64) (*.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 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))) (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l (*.f64 V l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.f64 V (*.f64 l (*.f64 V l)))) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (*.f64 V (*.f64 l (*.f64 V l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l (*.f64 V l))))) (*.f64 V l))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l))))) (*.f64 V (*.f64 l (*.f64 V l))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 3 binary64))) (*.f64 V (*.f64 l (*.f64 V l))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 V l) (*.f64 V (*.f64 l (*.f64 V l)))))) (*.f64 V (*.f64 l (*.f64 V l))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V (*.f64 l (*.f64 V l))))) (*.f64 V l))
(pow.f64 (*.f64 V l) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal -1 binary64))
(*.f64 V l)
(*.f64 l V)
(*.f64 (*.f64 V l) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 V l))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(*.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) (-.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 #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))

simplify52.0ms (0.5%)

Algorithm
egg-herbie
Rules
446×fma-define
412×fnmadd-define
364×fma-lowering-fma.f32
364×fma-lowering-fma.f64
276×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017932
133868
284868
3182868
4449868
5697868
61247868
71504868
81572868
91580868
01580868
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)

eval62.0ms (0.6%)

Compiler

Compiled 7712 to 1442 computations (81.3% saved)

prune114.0ms (1.1%)

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New56229591
Fresh000
Picked011
Done000
Total56230592
Accuracy
99.5%
Counts
592 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
61.3%
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
17.2%
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
18.1%
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
18.5%
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
21.1%
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
44.7%
(/.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))))
39.2%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
79.2%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
78.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
44.4%
(/.f64 #s(literal 1 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)))))
46.6%
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
61.3%
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
37.4%
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
59.5%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
59.4%
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
79.3%
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
51.7%
(*.f64 c0 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
61.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
68.3%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
23.2%
(*.f64 c0 (*.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))))
68.3%
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
79.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
79.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
78.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
79.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
48.1%
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
79.4%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
79.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
79.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 898 to 638 computations (29% saved)

simplify48.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0)
cost-diff0
(-.f64 #s(literal 0 binary64) A)
cost-diff0
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
cost-diff64
(pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))
cost-diff0
(*.f64 V l)
cost-diff0
(pow.f64 (*.f64 V l) #s(literal 1/2 binary64))
cost-diff0
(/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 V l))
cost-diff0
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A)))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) 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 #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))
Rules
542×fma-define
428×sum3-define
256×fmsub-define
224×*-lowering-*.f32
224×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033172
170172
2117163
3185163
4277163
5348163
6535163
7544163
8560163
9578163
10603163
11717163
12740163
13764163
14823163
15907163
161268163
171496163
181517163
01517163
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 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 (/ (/ A V) l)))
c0
(sqrt (/ (/ A V) l))
(/ (/ A V) l)
(/ A V)
A
V
l
(* c0 (sqrt (/ (/ 1 (* V l)) (/ 1 A))))
c0
(sqrt (/ (/ 1 (* V l)) (/ 1 A)))
(/ (/ 1 (* V l)) (/ 1 A))
(/ 1 (* V l))
1
(* V l)
V
l
(/ 1 A)
A
(* (/ c0 (pow (* V l) 1/2)) (sqrt A))
(/ c0 (pow (* V l) 1/2))
c0
(pow (* V l) 1/2)
(* V l)
V
l
1/2
(sqrt A)
A
(* (pow (- 0 A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
(pow (- 0 A) 1/2)
(- 0 A)
0
A
1/2
(* (sqrt (/ -1 (* V l))) c0)
(sqrt (/ -1 (* V l)))
(/ -1 (* V l))
-1
(* V l)
V
l
c0
Outputs
(* c0 (sqrt (/ (/ 1 l) (/ V A))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ 1 l) (/ V A)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ 1 l) (/ V A))
(/.f64 A (*.f64 l V))
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)
l
(/ V A)
(/.f64 V A)
V
A
(* c0 (sqrt (/ (/ A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ A V) l))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ A V) l)
(/.f64 A (*.f64 l V))
(/ A V)
(/.f64 A V)
A
V
l
(* c0 (sqrt (/ (/ 1 (* V l)) (/ 1 A))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ 1 (* V l)) (/ 1 A)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ 1 (* V l)) (/ 1 A))
(/.f64 A (*.f64 l V))
(/ 1 (* V l))
(/.f64 #s(literal 1 binary64) (*.f64 l V))
1
#s(literal 1 binary64)
(* V l)
(*.f64 l V)
V
l
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
A
(* (/ c0 (pow (* V l) 1/2)) (sqrt A))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 l V) #s(literal 1/2 binary64)))
(/ c0 (pow (* V l) 1/2))
(/.f64 c0 (pow.f64 (*.f64 l V) #s(literal 1/2 binary64)))
c0
(pow (* V l) 1/2)
(pow.f64 (*.f64 l V) #s(literal 1/2 binary64))
(* V l)
(*.f64 l V)
V
l
1/2
#s(literal 1/2 binary64)
(sqrt A)
(sqrt.f64 A)
A
(* (pow (- 0 A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 c0 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V)))))
(pow (- 0 A) 1/2)
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
(- 0 A)
(-.f64 #s(literal 0 binary64) A)
0
#s(literal 0 binary64)
A
1/2
#s(literal 1/2 binary64)
(* (sqrt (/ -1 (* V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V))))
(sqrt (/ -1 (* V l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V)))
(/ -1 (* V l))
(/.f64 #s(literal -1 binary64) (*.f64 l V))
-1
#s(literal -1 binary64)
(* V l)
(*.f64 l V)
V
l
c0

localize178.0ms (1.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0)
accuracy100.0%
(*.f64 V l)
accuracy100.0%
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))
accuracy100.0%
(/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
accuracy100.0%
(*.f64 V l)
accuracy100.0%
(sqrt.f64 A)
accuracy100.0%
(/.f64 #s(literal 1 binary64) A)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))))
accuracy100.0%
(*.f64 V l)
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A)))
accuracy100.0%
(/.f64 (/.f64 A V) l)
accuracy100.0%
(/.f64 A V)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 A V) l))
accuracy100.0%
(/.f64 V A)
accuracy100.0%
(/.f64 #s(literal 1 binary64) l)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A)))
Results
133.0ms256×0invalid
Compiler

Compiled 197 to 34 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 18.0ms (37.2% of total)
ival-mult: 11.0ms (22.8% of total)
ival-sqrt: 9.0ms (18.6% of total)
ival-pow: 9.0ms (18.6% of total)
ival-sub: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.4%)

Counts
24 → 732
Calls
Call 1
Inputs
#<alt (/ (/ 1 l) (/ V A))>
#<alt (* c0 (sqrt (/ (/ 1 l) (/ V A))))>
#<alt (sqrt (/ (/ 1 l) (/ V A)))>
#<alt (/ 1 l)>
#<alt (* c0 (sqrt (/ (/ A V) l)))>
#<alt (sqrt (/ (/ A V) l))>
#<alt (/ (/ A V) l)>
#<alt (/ A V)>
#<alt (/ (/ 1 (* V l)) (/ 1 A))>
#<alt (* c0 (sqrt (/ (/ 1 (* V l)) (/ 1 A))))>
#<alt (sqrt (/ (/ 1 (* V l)) (/ 1 A)))>
#<alt (/ 1 (* V l))>
#<alt (* (/ c0 (pow (* V l) 1/2)) (sqrt A))>
#<alt (/ c0 (pow (* V l) 1/2))>
#<alt (pow (* V l) 1/2)>
#<alt (* V l)>
#<alt (pow (- 0 A) 1/2)>
#<alt (* (pow (- 0 A) 1/2) (* (sqrt (/ -1 (* V l))) c0))>
#<alt (- 0 A)>
#<alt (* (sqrt (/ -1 (* V l))) c0)>
#<alt (/ V A)>
#<alt (/ 1 A)>
#<alt (sqrt A)>
#<alt (sqrt (/ -1 (* V l)))>
Outputs
#<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 (* (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)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (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 (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<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))>
#<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 (* (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 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* V l))>
#<alt (/ 1 (* 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)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (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 (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<alt (* (sqrt (/ 1 (* V l))) c0)>
#<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 (* 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 (* (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 (* (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 (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 (* -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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (* -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 (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<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 (/ 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 (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 (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
Calls

183 calls:

TimeVariablePointExpression
10.0ms
A
@inf
(pow (- 0 A) 1/2)
3.0ms
l
@-inf
(/ c0 (pow (* V l) 1/2))
1.0ms
c0
@0
(* (pow (- 0 A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
1.0ms
c0
@0
(/ c0 (pow (* V l) 1/2))
1.0ms
A
@0
(* (pow (- 0 A) 1/2) (* (sqrt (/ -1 (* V l))) c0))

rewrite328.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
3480×*-lowering-*.f32
3480×*-lowering-*.f64
2926×/-lowering-/.f32
2926×/-lowering-/.f64
1608×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033133
1172122
21021118
36956118
08810118
Stop Event
iter limit
node limit
Counts
24 → 2184
Calls
Call 1
Inputs
(/ (/ 1 l) (/ V A))
(* c0 (sqrt (/ (/ 1 l) (/ V A))))
(sqrt (/ (/ 1 l) (/ V A)))
(/ 1 l)
(* c0 (sqrt (/ (/ A V) l)))
(sqrt (/ (/ A V) l))
(/ (/ A V) l)
(/ A V)
(/ (/ 1 (* V l)) (/ 1 A))
(* c0 (sqrt (/ (/ 1 (* V l)) (/ 1 A))))
(sqrt (/ (/ 1 (* V l)) (/ 1 A)))
(/ 1 (* V l))
(* (/ c0 (pow (* V l) 1/2)) (sqrt A))
(/ c0 (pow (* V l) 1/2))
(pow (* V l) 1/2)
(* V l)
(pow (- 0 A) 1/2)
(* (pow (- 0 A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
(- 0 A)
(* (sqrt (/ -1 (* V l))) c0)
(/ V A)
(/ 1 A)
(sqrt A)
(sqrt (/ -1 (* V l)))
Outputs
(+.f64 (/.f64 A (*.f64 l V)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l V))))
(+.f64 (/.f64 A (*.f64 l V)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) #s(literal 0 binary64)))
(+.f64 (/.f64 A (*.f64 l V)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) #s(literal 0 binary64)))
(+.f64 (/.f64 A (*.f64 l V)) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) l) V)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l V))) (/.f64 A (*.f64 l V)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) #s(literal 0 binary64)) (/.f64 A (*.f64 l V)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) #s(literal 0 binary64)) (/.f64 A (*.f64 l V)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) l) V)) (/.f64 A (*.f64 l V)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 l V))) (*.f64 #s(literal -1 binary64) (log.f64 A))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) l) (neg.f64 (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 l (/.f64 #s(literal -1 binary64) V))) (neg.f64 (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) l)) (neg.f64 (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 V A))) (neg.f64 (/.f64 A (*.f64 l V))))
(neg.f64 (neg.f64 (/.f64 A (*.f64 l V))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l V) A))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))
(/.f64 A (*.f64 l V))
(/.f64 (/.f64 A V) l)
(/.f64 (/.f64 A (*.f64 l V)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (/.f64 #s(literal 1 binary64) A))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V)) A))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) (/.f64 #s(literal -1 binary64) A))
(/.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 l (/.f64 #s(literal -1 binary64) V)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 V A)))
(/.f64 (*.f64 A (*.f64 A A)) (*.f64 (*.f64 l V) (*.f64 A A)))
(/.f64 (*.f64 A (*.f64 A A)) (*.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V)) (-.f64 #s(literal 0 binary64) (*.f64 A A))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (*.f64 l (neg.f64 (*.f64 V (*.f64 A A)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (*.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V)) (*.f64 A A)))
(/.f64 (*.f64 A A) (*.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V)) (-.f64 #s(literal 0 binary64) A)))
(/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (*.f64 l V) (-.f64 #s(literal 0 binary64) A)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 l (*.f64 A (-.f64 #s(literal 0 binary64) V))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V)) A))
(/.f64 (/.f64 #s(literal -1 binary64) V) (neg.f64 (/.f64 l A)))
(/.f64 (/.f64 #s(literal -1 binary64) V) (*.f64 (/.f64 #s(literal -1 binary64) A) l))
(/.f64 (/.f64 #s(literal -1 binary64) V) (*.f64 (/.f64 #s(literal 1 binary64) A) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (neg.f64 (/.f64 A (*.f64 l V))) #s(literal -1 binary64))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V))
(/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (pow.f64 A #s(literal -1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (/.f64 #s(literal 1 binary64) (*.f64 A (*.f64 A A)))) (*.f64 A A))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (/.f64 #s(literal 1 binary64) (*.f64 A A))) A)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V (*.f64 A (*.f64 A A)))) (*.f64 A A))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V (*.f64 A A))) A)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal -1 binary64)) l)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A)))) (neg.f64 (*.f64 V (*.f64 A A))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (-.f64 #s(literal 0 binary64) (*.f64 A A))) (*.f64 A (-.f64 #s(literal 0 binary64) V)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (-.f64 #s(literal 0 binary64) (*.f64 A A))) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A)))) (*.f64 A A))
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(pow.f64 A #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 A #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))
(pow.f64 (*.f64 A A) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 A)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) A)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 A))
(*.f64 (sqrt.f64 A) #s(literal 1 binary64))
(*.f64 (sqrt.f64 A) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 A) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(*.f64 (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 (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)) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (*.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/4 binary64))))
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(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)) (sqrt.f64 V))
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(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) #s(literal 1/2 binary64))
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(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) (/.f64 (/.f64 #s(literal -1 binary64) l) V)) #s(literal 1/4 binary64))
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(*.f64 (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 l V) #s(literal 1/4 binary64))) (pow.f64 (*.f64 l V) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) V) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 l V) #s(literal -1/2 binary64)))

simplify301.0ms (3%)

Algorithm
egg-herbie
Rules
1140×fnmadd-define
1040×fma-define
764×fma-lowering-fma.f32
764×fma-lowering-fma.f64
632×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0374940
1834572
21944572
33174572
46464572
510314572
617224572
721814572
826224572
927414572
1028224572
1131134572
1235214572
035214572
Stop Event
iter limit
saturated
Counts
732 → 732
Calls
Call 1
Inputs
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(* (sqrt (/ A (* V l))) c0)
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(/ 1 (* V l))
(/ 1 (* V l))
(/ 1 (* V l))
(/ 1 (* V l))
(/ 1 (* V l))
(/ 1 (* V l))
(/ 1 (* V l))
(* (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)
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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)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ 1 (* V l))) c0)
(* (sqrt (/ 1 (* V l))) c0)
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
(* V l)
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(* (sqrt A) (sqrt -1))
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(/ V A)
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(/ V A)
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(/ V A)
(/ V A)
(/ V A)
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(/ V A)
(/ V A)
(/ V A)
(/ V A)
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(/ V A)
(/ V A)
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(/ V A)
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(* (sqrt (/ 1 (* V l))) (sqrt -1))
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(* (sqrt (/ 1 (* V l))) (sqrt -1))
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Outputs
(/ A (* V l))
(/.f64 (/.f64 A V) l)
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(/ A (* V l))
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(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))

eval578.0ms (5.8%)

Compiler

Compiled 42391 to 3847 computations (90.9% saved)

prune216.0ms (2.2%)

Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New3008123020
Fresh101424
Picked325
Done011
Total3021293050
Accuracy
99.5%
Counts
3050 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
49.4%
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
19.4%
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
44.7%
(/.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))))
39.2%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
37.5%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
79.3%
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
79.2%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
78.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
44.4%
(/.f64 #s(literal 1 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)))))
46.6%
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
61.3%
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
37.4%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
59.5%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
59.4%
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
79.3%
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
51.7%
(*.f64 c0 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
18.2%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
61.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
68.3%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
23.2%
(*.f64 c0 (*.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))))
68.3%
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
50.5%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
79.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
79.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
79.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
79.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
29.8%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
79.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 846 to 596 computations (29.6% saved)

simplify130.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0)
cost-diff0
(pow.f64 (neg.f64 A) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
cost-diff0
(sqrt.f64 (*.f64 l V))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
cost-diff0
(sqrt.f64 A)
cost-diff0
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
cost-diff0
(sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A)))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A)
cost-diff0
(/.f64 A l)
cost-diff0
(/.f64 (/.f64 A l) V)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 A l) V))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
cost-diff0
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V)))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) A) V)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))
Rules
2374×*-lowering-*.f32
2374×*-lowering-*.f64
1986×fmsub-define
1974×fmm-def
1030×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036191
176181
2144179
3327167
4748167
51660167
62100167
74587167
86939167
08156167
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* c0 (sqrt (/ (/ 1 l) (* (/ 1 A) V))))
c0
(sqrt (/ (/ 1 l) (* (/ 1 A) V)))
(/ (/ 1 l) (* (/ 1 A) V))
(/ 1 l)
1
l
(* (/ 1 A) V)
(/ 1 A)
A
V
(* c0 (sqrt (/ (/ A l) V)))
c0
(sqrt (/ (/ A l) V))
(/ (/ A l) V)
(/ A l)
A
l
V
(* c0 (sqrt (/ (/ (/ 1 (/ V (* A A))) A) l)))
c0
(sqrt (/ (/ (/ 1 (/ V (* A A))) A) l))
(/ (/ (/ 1 (/ V (* A A))) A) l)
(/ (/ 1 (/ V (* A A))) A)
(/ 1 (/ V (* A A)))
1
(/ V (* A A))
V
(* A A)
A
l
(/ (sqrt A) (/ (sqrt (* l V)) c0))
(sqrt A)
A
(/ (sqrt (* l V)) c0)
(sqrt (* l V))
(* l V)
l
V
c0
(* (pow (neg A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
(pow (neg A) 1/2)
(neg A)
A
1/2
(* (sqrt (/ -1 (* V l))) c0)
(sqrt (/ -1 (* V l)))
(/ -1 (* V l))
-1
(* V l)
V
l
c0
Outputs
(* c0 (sqrt (/ (/ 1 l) (* (/ 1 A) V))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ 1 l) (* (/ 1 A) V)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ 1 l) (* (/ 1 A) V))
(/.f64 A (*.f64 l V))
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)
l
(* (/ 1 A) V)
(/.f64 V A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
A
V
(* c0 (sqrt (/ (/ A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ A l) V))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ A l) V)
(/.f64 A (*.f64 l V))
(/ A l)
(/.f64 A l)
A
l
V
(* c0 (sqrt (/ (/ (/ 1 (/ V (* A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ (/ 1 (/ V (* A A))) A) l))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ (/ 1 (/ V (* A A))) A) l)
(/.f64 A (*.f64 l V))
(/ (/ 1 (/ V (* A A))) A)
(/.f64 A V)
(/ 1 (/ V (* A A)))
(/.f64 A (/.f64 V A))
1
#s(literal 1 binary64)
(/ V (* A A))
(/.f64 V (*.f64 A A))
V
(* A A)
(*.f64 A A)
A
l
(/ (sqrt A) (/ (sqrt (* l V)) c0))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(sqrt A)
(sqrt.f64 A)
A
(/ (sqrt (* l V)) c0)
(/.f64 (sqrt.f64 (*.f64 l V)) c0)
(sqrt (* l V))
(sqrt.f64 (*.f64 l V))
(* l V)
(*.f64 l V)
l
V
c0
(* (pow (neg A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
(*.f64 c0 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V)))))
(pow (neg A) 1/2)
(pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))
(neg A)
(-.f64 #s(literal 0 binary64) A)
A
1/2
#s(literal 1/2 binary64)
(* (sqrt (/ -1 (* V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V))))
(sqrt (/ -1 (* V l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V)))
(/ -1 (* V l))
(/.f64 #s(literal -1 binary64) (*.f64 l V))
-1
#s(literal -1 binary64)
(* V l)
(*.f64 l V)
V
l
c0

localize218.0ms (2.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0)
accuracy100.0%
(*.f64 V l)
accuracy100.0%
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))
accuracy100.0%
(neg.f64 A)
accuracy100.0%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
accuracy100.0%
(*.f64 l V)
accuracy100.0%
(sqrt.f64 (*.f64 l V))
accuracy100.0%
(sqrt.f64 A)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A)))
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
accuracy100.0%
(*.f64 A A)
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l))
accuracy100.0%
(/.f64 (/.f64 A l) V)
accuracy100.0%
(/.f64 A l)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 A l) V))
accuracy100.0%
(/.f64 #s(literal 1 binary64) A)
accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) A) V)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V)))
Results
164.0ms256×0invalid
Compiler

Compiled 219 to 37 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 20.0ms (39.9% of total)
ival-mult: 14.0ms (27.9% of total)
ival-sqrt: 11.0ms (21.9% of total)
ival-pow: 3.0ms (6% of total)
const: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
25 → 744
Calls
Call 1
Inputs
#<alt (/ (/ 1 l) (* (/ 1 A) V))>
#<alt (* (/ 1 A) V)>
#<alt (* c0 (sqrt (/ (/ 1 l) (* (/ 1 A) V))))>
#<alt (sqrt (/ (/ 1 l) (* (/ 1 A) V)))>
#<alt (* c0 (sqrt (/ (/ A l) V)))>
#<alt (sqrt (/ (/ A l) V))>
#<alt (/ (/ A l) V)>
#<alt (/ A l)>
#<alt (/ (/ 1 (/ V (* A A))) A)>
#<alt (/ 1 (/ V (* A A)))>
#<alt (* c0 (sqrt (/ (/ (/ 1 (/ V (* A A))) A) l)))>
#<alt (sqrt (/ (/ (/ 1 (/ V (* A A))) A) l))>
#<alt (/ (sqrt A) (/ (sqrt (* l V)) c0))>
#<alt (sqrt A)>
#<alt (/ (sqrt (* l V)) c0)>
#<alt (sqrt (* l V))>
#<alt (* (pow (neg A) 1/2) (* (sqrt (/ -1 (* V l))) c0))>
#<alt (pow (neg A) 1/2)>
#<alt (* (sqrt (/ -1 (* V l))) c0)>
#<alt (sqrt (/ -1 (* V l)))>
#<alt (/ 1 A)>
#<alt (* A A)>
#<alt (* l V)>
#<alt (neg A)>
#<alt (* V l)>
Outputs
#<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 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 (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<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 (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<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 (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* V l))) (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 (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<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 (* -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)>
Calls

186 calls:

TimeVariablePointExpression
1.0ms
l
@0
(/ (sqrt (* l V)) c0)
1.0ms
l
@-inf
(/ (sqrt (* l V)) c0)
1.0ms
V
@0
(/ 1 (/ V (* A A)))
0.0ms
A
@0
(/ 1 (/ V (* A A)))
0.0ms
V
@-inf
(/ (sqrt (* l V)) c0)

rewrite279.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3420×*-lowering-*.f32
3420×*-lowering-*.f64
2820×/-lowering-/.f32
2820×/-lowering-/.f64
1494×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036147
1177124
21068119
37454119
08080119
Stop Event
iter limit
node limit
Counts
25 → 1961
Calls
Call 1
Inputs
(/ (/ 1 l) (* (/ 1 A) V))
(* (/ 1 A) V)
(* c0 (sqrt (/ (/ 1 l) (* (/ 1 A) V))))
(sqrt (/ (/ 1 l) (* (/ 1 A) V)))
(* c0 (sqrt (/ (/ A l) V)))
(sqrt (/ (/ A l) V))
(/ (/ A l) V)
(/ A l)
(/ (/ 1 (/ V (* A A))) A)
(/ 1 (/ V (* A A)))
(* c0 (sqrt (/ (/ (/ 1 (/ V (* A A))) A) l)))
(sqrt (/ (/ (/ 1 (/ V (* A A))) A) l))
(/ (sqrt A) (/ (sqrt (* l V)) c0))
(sqrt A)
(/ (sqrt (* l V)) c0)
(sqrt (* l V))
(* (pow (neg A) 1/2) (* (sqrt (/ -1 (* V l))) c0))
(pow (neg A) 1/2)
(* (sqrt (/ -1 (* V l))) c0)
(sqrt (/ -1 (* V l)))
(/ 1 A)
(* A A)
(* l V)
(neg A)
(* V l)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 l (/.f64 A V))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l A))) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l V))) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 V A))) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 A A) V) l)) A))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 A V)))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))
(/.f64 A (*.f64 l V))
(/.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 l (/.f64 (*.f64 A A) V)))
(/.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) l))
(/.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A (*.f64 l V)) #s(literal 1 binary64))
(/.f64 (*.f64 A A) (*.f64 V (*.f64 l A)))
(/.f64 (*.f64 A A) (*.f64 (*.f64 l V) A))
(/.f64 (*.f64 A A) (*.f64 A (*.f64 l V)))
(/.f64 (*.f64 A A) (*.f64 (*.f64 l A) V))
(/.f64 (/.f64 (*.f64 A A) V) (*.f64 l A))
(/.f64 (/.f64 A V) l)
(/.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (*.f64 l V)))
(/.f64 #s(literal -1 binary64) (/.f64 V (/.f64 A (-.f64 #s(literal 0 binary64) l))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l A) (-.f64 #s(literal 0 binary64) V)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V)) (/.f64 #s(literal -1 binary64) A))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 l A)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 A (-.f64 #s(literal 0 binary64) (*.f64 l V))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (*.f64 l A) (-.f64 #s(literal 0 binary64) V)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 l V)) A))
(/.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 V A)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (-.f64 #s(literal 0 binary64) (*.f64 l A)))
(/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (/.f64 #s(literal 1 binary64) A))
(/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))
(/.f64 (/.f64 #s(literal 1 binary64) V) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) (*.f64 l A)))
(/.f64 (/.f64 #s(literal 1 binary64) V) (*.f64 (*.f64 l A) (/.f64 #s(literal 1 binary64) (*.f64 A A))))
(/.f64 (/.f64 #s(literal -1 binary64) V) (/.f64 l (-.f64 #s(literal 0 binary64) A)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 l V)) (*.f64 A A)))
(/.f64 (/.f64 #s(literal -1 binary64) A) (neg.f64 (/.f64 l (/.f64 (*.f64 A A) V))))
(/.f64 (/.f64 #s(literal -1 binary64) A) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))) l))
(/.f64 (/.f64 #s(literal -1 binary64) A) (*.f64 (/.f64 V (*.f64 A A)) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l A)) (/.f64 V (*.f64 A A)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 A A) V) l)) (-.f64 #s(literal 0 binary64) A))
(/.f64 (/.f64 (/.f64 (*.f64 A A) V) l) A)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 #s(literal 1 binary64) A)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) l))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 A A)) (*.f64 A V))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) #s(literal 1 binary64)) (*.f64 (*.f64 A A) (-.f64 #s(literal 0 binary64) (*.f64 l V))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) #s(literal -1 binary64)) (*.f64 (*.f64 A A) (*.f64 l V)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 #s(literal -1 binary64) l)) (*.f64 A V))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal -1 binary64) l)) (*.f64 (*.f64 A A) V))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal -1 binary64) V)) (*.f64 (*.f64 A A) l))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 A V)) (/.f64 #s(literal 1 binary64) (*.f64 A A)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (pow.f64 A #s(literal -1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) A) (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 A A) V) l)) A) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 #s(literal -1 binary64) V)) l)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 #s(literal 1 binary64) (*.f64 l A))) (/.f64 #s(literal 1 binary64) (*.f64 A A)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 #s(literal 1 binary64) (*.f64 l A))) (-.f64 #s(literal 0 binary64) V))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal -1 binary64) A)) (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l A))) (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 #s(literal -1 binary64) (*.f64 l V))) A)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal -1 binary64) (*.f64 l V))) (*.f64 A A))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) V)) (*.f64 (*.f64 A A) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 l (/.f64 (*.f64 A A) V)))) (-.f64 #s(literal 0 binary64) A))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (-.f64 #s(literal 0 binary64) A)) (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 l A)) (-.f64 #s(literal 0 binary64) (/.f64 V (*.f64 A A))))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 A A) V) l)) #s(literal -1 binary64)) A)
(pow.f64 (/.f64 l (/.f64 A V)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 A (*.f64 l V)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 A V))
(*.f64 A (/.f64 #s(literal 1 binary64) (*.f64 l V)))
(*.f64 A (*.f64 (/.f64 A V) (/.f64 #s(literal 1 binary64) (*.f64 l A))))
(*.f64 A (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) V)))
(*.f64 A (/.f64 (/.f64 A V) (*.f64 l A)))
(*.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 (/.f64 (*.f64 A A) V) l))
(*.f64 (/.f64 A l) (/.f64 #s(literal 1 binary64) V))
(*.f64 (/.f64 A l) (/.f64 (/.f64 A V) A))
(*.f64 (/.f64 A (*.f64 l V)) #s(literal 1 binary64))
(*.f64 (/.f64 A (*.f64 l V)) (/.f64 A A))
(*.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 A A) (*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 #s(literal 1 binary64) (*.f64 l A))))
(*.f64 (*.f64 A A) (/.f64 (/.f64 #s(literal 1 binary64) V) (*.f64 l A)))
(*.f64 (/.f64 (*.f64 A A) V) (/.f64 #s(literal 1 binary64) (*.f64 l A)))
(*.f64 (/.f64 A V) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 A V) (*.f64 A (/.f64 #s(literal 1 binary64) (*.f64 l A))))
(*.f64 (/.f64 A V) (/.f64 A (*.f64 l A)))
(*.f64 (sqrt.f64 A) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) (pow.f64 A #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 #s(literal -1 binary64) (*.f64 l V)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 l V)) (-.f64 #s(literal 0 binary64) A))
(*.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 A V)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (/.f64 (/.f64 #s(literal -1 binary64) l) A))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (/.f64 (/.f64 #s(literal -1 binary64) A) l))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l A))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (*.f64 (/.f64 #s(literal -1 binary64) A) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (*.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 #s(literal -1 binary64) l)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (/.f64 (/.f64 #s(literal 1 binary64) l) (-.f64 #s(literal 0 binary64) A)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (/.f64 #s(literal -1 binary64) (*.f64 l A)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 A A) V)) (/.f64 (/.f64 #s(literal 1 binary64) A) (-.f64 #s(literal 0 binary64) l)))
(*.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)) (/.f64 #s(literal -1 binary64) V))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l V)) A)
(*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 A l))
(*.f64 (/.f64 #s(literal -1 binary64) V) (/.f64 A (-.f64 #s(literal 0 binary64) l)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 #s(literal 1 binary64) (*.f64 l A))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 V A)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 A V)))
(*.f64 (/.f64 #s(literal -1 binary64) A) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 A A) V) l)))
(*.f64 (pow.f64 (/.f64 (*.f64 A A) V) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 A A) V) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 l A))))
(*.f64 (pow.f64 (/.f64 (*.f64 A A) V) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 A A) V) #s(literal 1/2 binary64)) (*.f64 l A)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 l V))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l A)) (/.f64 (*.f64 A A) V))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 A A) V) l)) (/.f64 #s(literal -1 binary64) A))
(*.f64 (/.f64 (/.f64 (*.f64 A A) V) l) (/.f64 #s(literal 1 binary64) A))
(*.f64 (pow.f64 (/.f64 l (/.f64 (*.f64 A A) V)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) A))
(*.f64 (pow.f64 (neg.f64 (/.f64 l (/.f64 (*.f64 A A) V))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) A))
(*.f64 (/.f64 (/.f64 (*.f64 A A) V) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) A) l))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A V)) (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) (*.f64 A A))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 A V)) (*.f64 A A))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 A V)) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal 1 binary64) (*.f64 A A))))
(*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) A) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 V (*.f64 A A))))
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(/.f64 (/.f64 V (pow.f64 l #s(literal -1/2 binary64))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 l V))
(*.f64 l V)
(*.f64 V l)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l V)))
(*.f64 (*.f64 l V) #s(literal 1 binary64))
(*.f64 (sqrt.f64 l) (/.f64 V (pow.f64 l #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l))
(*.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 l V)) #s(literal -1 binary64))
(*.f64 (/.f64 V (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 l))

simplify353.0ms (3.5%)

Algorithm
egg-herbie
Rules
1868×sum3-define
1536×fnmadd-define
1360×fma-define
1150×fmsub-define
1142×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0434940
1984500
22374500
34744500
412054500
527924500
642864500
754104500
857004500
958044500
1058774500
1161224500
1268494500
1369354500
1469354500
1569384500
1669384500
1769864500
1872744500
1976744500
076744500
Stop Event
iter limit
saturated
Counts
744 → 744
Calls
Call 1
Inputs
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
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(/ A (* V l))
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(/ A (* V l))
(/ A (* V l))
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
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(* -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)
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(* (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)))
(* (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)))
(* -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)))
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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 (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (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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(* (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))
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(/ A l)
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(/ A V)
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(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
(/ (pow A 2) V)
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(/ (pow A 2) V)
(/ (pow A 2) V)
(* (sqrt (/ A (* V l))) c0)
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(* (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)
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(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
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(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
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(* (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)))
(* (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)))
(* -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))) 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)
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(* (sqrt (/ A (* V l))) c0)
(sqrt A)
(sqrt A)
(sqrt A)
(sqrt A)
(sqrt A)
(sqrt A)
(sqrt A)
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(* -1 (* (sqrt A) (pow (sqrt -1) 2)))
(* (sqrt (* V l)) (/ 1 c0))
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(* (sqrt (* V l)) (/ 1 c0))
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(* (sqrt (* V l)) (/ 1 c0))
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(* (sqrt (* V l)) (/ 1 c0))
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(* -1 (* (sqrt (* V l)) (/ (pow (sqrt -1) 2) c0)))
(* -1 (* (sqrt (* V l)) (/ (pow (sqrt -1) 2) c0)))
(* -1 (* (sqrt (* V l)) (/ (pow (sqrt -1) 2) c0)))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(* (sqrt (* V l)) (/ 1 c0))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(sqrt (* V l))
(* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))
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(sqrt (* V l))
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(sqrt (* V l))
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(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
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(* (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 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
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(* (sqrt A) (sqrt -1))
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(* -1 (* (sqrt A) (sqrt -1)))
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(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(/ 1 A)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
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(* V l)
(* V l)
(* V l)
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(* 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)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
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(* V l)
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(* V l)
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(* V l)
(* V l)
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(* V l)
(* V l)
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Outputs
(/ A (* V l))
(/.f64 (/.f64 A V) l)
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(/ A (* V l))
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(/ A (* V l))
(/.f64 (/.f64 A V) l)
(/ A (* V l))
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(/ A (* V l))
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
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(sqrt (/ A (* V l)))
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(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
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(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (* c0 (sqrt -1)))
(*.f64 c0 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(* (sqrt (/ 1 (* V l))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(* 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)
(* -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)
(* 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)

eval273.0ms (2.7%)

Compiler

Compiled 36005 to 3678 computations (89.8% saved)

prune214.0ms (2.1%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New269872705
Fresh41721
Picked235
Done033
Total2704302734
Accuracy
99.5%
Counts
2734 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
49.4%
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
19.4%
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
44.7%
(/.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))))
39.2%
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
17.4%
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
37.5%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
79.3%
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
79.5%
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
79.2%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
44.4%
(/.f64 #s(literal 1 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)))))
51.7%
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) V) #s(literal 1/2 binary64)) c0) (sqrt.f64 l)))
46.6%
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
37.4%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
59.5%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
59.4%
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
79.3%
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
18.2%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
61.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
68.3%
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
23.2%
(*.f64 c0 (*.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))))
68.3%
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
50.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 (*.f64 A A) V) A) l)))
79.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
79.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
79.2%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
79.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
79.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
58.0%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
79.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 814 to 570 computations (30% saved)

simplify155.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 V A))
cost-diff0
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal -1/2 binary64))
cost-diff0
(*.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)))
cost-diff0
(*.f64 c0 (*.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))))
cost-diff0
(/.f64 (sqrt.f64 V) c0)
cost-diff0
(/.f64 A l)
cost-diff0
(sqrt.f64 (/.f64 A l))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
cost-diff0
(sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
cost-diff128
(/.f64 A (*.f64 l A))
cost-diff128
(*.f64 A (/.f64 A (*.f64 l A)))
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))))
cost-diff0
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
cost-diff128
(*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) A) A)
Rules
2416×*-lowering-*.f32
2416×*-lowering-*.f64
2246×fma-define
1542×sum3-define
1438×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035191
176173
2151167
3387167
41350167
52484167
64188167
76321167
08025167
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* c0 (sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))))
c0
(sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A))))
(/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))
(/ 1 l)
1
l
(* (/ V A) (* (/ 1 A) A))
(/ V A)
V
A
(* (/ 1 A) A)
(/ 1 A)
(/ c0 (sqrt (/ V (/ A l))))
c0
(sqrt (/ V (/ A l)))
(/ V (/ A l))
V
(/ A l)
A
l
(* c0 (sqrt (/ (* A (/ A (* l A))) V)))
c0
(sqrt (/ (* A (/ A (* l A))) V))
(/ (* A (/ A (* l A))) V)
(* A (/ A (* l A)))
A
(/ A (* l A))
(* l A)
l
V
(/ (sqrt (/ A l)) (/ (sqrt V) c0))
(sqrt (/ A l))
(/ A l)
A
l
(/ (sqrt V) c0)
(sqrt V)
V
c0
(* c0 (* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2)))
c0
(* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2))
(pow (- 0 (/ V A)) -1/2)
(- 0 (/ V A))
0
(/ V A)
V
A
-1/2
(pow (- 0 l) -1/2)
(- 0 l)
l
Outputs
(* c0 (sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A))))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))
(/.f64 A (*.f64 l V))
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)
l
(* (/ V A) (* (/ 1 A) A))
(/.f64 V A)
(/ V A)
(/.f64 V A)
V
A
(* (/ 1 A) A)
#s(literal 1 binary64)
(/ 1 A)
(/.f64 #s(literal 1 binary64) A)
(/ c0 (sqrt (/ V (/ A l))))
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
c0
(sqrt (/ V (/ A l)))
(sqrt.f64 (*.f64 l (/.f64 V A)))
(/ V (/ A l))
(*.f64 l (/.f64 V A))
V
(/ A l)
(/.f64 A l)
A
l
(* c0 (sqrt (/ (* A (/ A (* l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
c0
(sqrt (/ (* A (/ A (* l A))) V))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/ (* A (/ A (* l A))) V)
(/.f64 A (*.f64 l V))
(* A (/ A (* l A)))
(/.f64 A l)
A
(/ A (* l A))
(/.f64 #s(literal 1 binary64) l)
(* l A)
(*.f64 l A)
l
V
(/ (sqrt (/ A l)) (/ (sqrt V) c0))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(sqrt (/ A l))
(sqrt.f64 (/.f64 A l))
(/ A l)
(/.f64 A l)
A
l
(/ (sqrt V) c0)
(/.f64 (sqrt.f64 V) c0)
(sqrt V)
(sqrt.f64 V)
V
c0
(* c0 (* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal -1/2 binary64)) (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64))))
c0
(* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2))
(*.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)))
(pow (- 0 (/ V A)) -1/2)
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal -1/2 binary64))
(- 0 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
0
#s(literal 0 binary64)
(/ V A)
(/.f64 V A)
V
A
-1/2
#s(literal -1/2 binary64)
(pow (- 0 l) -1/2)
(pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64))
(- 0 l)
(-.f64 #s(literal 0 binary64) l)
l

localize197.0ms (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 V A))
accuracy100.0%
(-.f64 #s(literal 0 binary64) l)
accuracy100.0%
(*.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)))
accuracy100.0%
(*.f64 c0 (*.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))))
accuracy100.0%
(/.f64 (sqrt.f64 V) c0)
accuracy100.0%
(/.f64 A l)
accuracy100.0%
(sqrt.f64 (/.f64 A l))
accuracy100.0%
(sqrt.f64 V)
accuracy100.0%
(*.f64 l A)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
accuracy100.0%
(*.f64 A (/.f64 A (*.f64 l A)))
accuracy100.0%
(sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) 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)))
accuracy100.0%
(*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A))
accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) A) A)
accuracy100.0%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
accuracy100.0%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A))))
Results
152.0ms256×0invalid
Compiler

Compiled 235 to 36 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 18.0ms (36.9% of total)
ival-mult: 13.0ms (26.6% of total)
ival-sqrt: 10.0ms (20.5% of total)
ival-pow: 4.0ms (8.2% of total)
ival-sub: 3.0ms (6.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.3%)

Counts
23 → 708
Calls
Call 1
Inputs
#<alt (* (/ 1 A) A)>
#<alt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))>
#<alt (* (/ V A) (* (/ 1 A) A))>
#<alt (* c0 (sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))))>
#<alt (/ c0 (sqrt (/ V (/ A l))))>
#<alt (sqrt (/ V (/ A l)))>
#<alt (/ V (/ A l))>
#<alt (/ A l)>
#<alt (* A (/ A (* l A)))>
#<alt (/ A (* l A))>
#<alt (* c0 (sqrt (/ (* A (/ A (* l A))) V)))>
#<alt (sqrt (/ (* A (/ A (* l A))) V))>
#<alt (/ (sqrt (/ A l)) (/ (sqrt V) c0))>
#<alt (sqrt (/ A l))>
#<alt (/ (sqrt V) c0)>
#<alt (* c0 (* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2)))>
#<alt (* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2))>
#<alt (pow (- 0 (/ V A)) -1/2)>
#<alt (- 0 (/ V A))>
#<alt (sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A))))>
#<alt (* l A)>
#<alt (sqrt V)>
#<alt (- 0 l)>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 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 (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<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))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (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 (/ 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 (/ 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 (/ 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)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (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 (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (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 (/ 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 V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* -1 (* (sqrt V) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt V) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt V) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt V) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 c0))>
#<alt (* (sqrt V) (/ 1 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 (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 (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 (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 (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 (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 (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 (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 (* -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 (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 (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 (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))) (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))) (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))) (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))) (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))) (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 (* -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))) (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))) (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))) (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)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* (sqrt (/ A V)) (sqrt -1))>
#<alt (* -1 (* (sqrt (/ A V)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ A V)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ A V)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ A V)) (sqrt -1)))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<alt (* -1 (/ V A))>
#<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 (* 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 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)))>
#<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)>
Calls

177 calls:

TimeVariablePointExpression
6.0ms
l
@-inf
(/ V (/ A l))
3.0ms
V
@inf
(/ (sqrt (/ A l)) (/ (sqrt V) c0))
1.0ms
A
@0
(pow (- 0 (/ V A)) -1/2)
1.0ms
V
@0
(pow (- 0 (/ V A)) -1/2)
1.0ms
A
@-inf
(/ c0 (sqrt (/ V (/ A l))))

rewrite310.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
4496×*-lowering-*.f32
4496×*-lowering-*.f64
3134×/-lowering-/.f32
3134×/-lowering-/.f64
842×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035146
1198111
21378111
08765111
Stop Event
iter limit
node limit
Counts
23 → 1780
Calls
Call 1
Inputs
(* (/ 1 A) A)
(/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))
(* (/ V A) (* (/ 1 A) A))
(* c0 (sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A)))))
(/ c0 (sqrt (/ V (/ A l))))
(sqrt (/ V (/ A l)))
(/ V (/ A l))
(/ A l)
(* A (/ A (* l A)))
(/ A (* l A))
(* c0 (sqrt (/ (* A (/ A (* l A))) V)))
(sqrt (/ (* A (/ A (* l A))) V))
(/ (sqrt (/ A l)) (/ (sqrt V) c0))
(sqrt (/ A l))
(/ (sqrt V) c0)
(* c0 (* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2)))
(* (pow (- 0 (/ V A)) -1/2) (pow (- 0 l) -1/2))
(pow (- 0 (/ V A)) -1/2)
(- 0 (/ V A))
(sqrt (/ (/ 1 l) (* (/ V A) (* (/ 1 A) A))))
(* l A)
(sqrt V)
(- 0 l)
Outputs
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 l (/.f64 A V))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 V (-.f64 #s(literal 0 binary64) l))) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 A V)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 #s(literal 1 binary64) (*.f64 V l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 A l) V) (*.f64 A A)))
(/.f64 #s(literal 1 binary64) (/.f64 A (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (/.f64 V A) A))))
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))
(/.f64 (/.f64 A l) V)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 A V))))
(/.f64 (-.f64 #s(literal 0 binary64) A) (*.f64 V (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V))
(/.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 V A)))
(/.f64 (/.f64 A V) l)
(/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 A l)) (/.f64 (/.f64 V A) A))
(/.f64 (*.f64 A A) (*.f64 (*.f64 A l) V))
(/.f64 (*.f64 A A) (*.f64 V (*.f64 A l)))
(/.f64 (/.f64 A (*.f64 V l)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))
(/.f64 (*.f64 A (-.f64 #s(literal 0 binary64) (/.f64 A V))) (-.f64 #s(literal 0 binary64) (*.f64 A l)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) A))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (neg.f64 (*.f64 (*.f64 A l) V)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))) #s(literal -1 binary64))
(/.f64 (/.f64 A (/.f64 V A)) (*.f64 A l))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (/.f64 #s(literal -1 binary64) V) (-.f64 #s(literal 0 binary64) (/.f64 l A)))
(/.f64 (/.f64 A (/.f64 l A)) (*.f64 V A))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (/.f64 V A) A)) A)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) (/.f64 #s(literal -1 binary64) A))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (/.f64 V A) A))) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) V)) (-.f64 #s(literal 0 binary64) (/.f64 l A)))
(/.f64 (*.f64 (/.f64 A V) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (*.f64 (/.f64 A V) (/.f64 A l)) A)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 #s(literal 1 binary64) l)) (/.f64 #s(literal 1 binary64) A))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) A))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (/.f64 V A) A))) A)
(/.f64 (*.f64 (/.f64 A V) (/.f64 A (-.f64 #s(literal 0 binary64) l))) (-.f64 #s(literal 0 binary64) A))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) V) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 l A)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 A (/.f64 l A))) A)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 (*.f64 A A) A)) l)
(/.f64 (*.f64 (/.f64 A (/.f64 V A)) (/.f64 #s(literal 1 binary64) l)) A)
(/.f64 (*.f64 (/.f64 A (/.f64 V A)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 A l)))
(/.f64 (*.f64 (/.f64 A l) (/.f64 A V)) A)
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simplify253.0ms (2.5%)

Algorithm
egg-herbie
Rules
2470×fma-define
2222×fnmadd-define
2112×fma-lowering-fma.f32
2112×fma-lowering-fma.f64
1676×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0444644
11054124
22614124
35504124
413354124
532304124
654244124
765314124
867494124
968414124
1068664124
1170524124
083564124
Stop Event
iter limit
node limit
Counts
708 → 708
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
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Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
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1
#s(literal 1 binary64)
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(* (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)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* (sqrt (/ A V)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 A V)))
(* -1 (* (sqrt (/ A V)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 A V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ A V)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 A V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ A V)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 A V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ A V)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 A V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(* -1 (/ V A))
(-.f64 #s(literal 0 binary64) (/.f64 V A))
(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 (/ 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 (/ 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))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 A l) V))
(* 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)
(*.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)
(*.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)
(*.f64 A l)
(* A l)
(*.f64 A l)
(* A l)
(*.f64 A l)
(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)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)
(* -1 l)
(-.f64 #s(literal 0 binary64) l)

eval311.0ms (3.1%)

Compiler

Compiled 35343 to 4078 computations (88.5% saved)

prune226.0ms (2.2%)

Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New2572132585
Fresh91019
Picked325
Done066
Total2584312615
Accuracy
100.0%
Counts
2615 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
13.8%
(/.f64 (/.f64 A (sqrt.f64 (*.f64 A l))) (/.f64 (sqrt.f64 V) c0))
67.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
17.4%
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
37.5%
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
79.4%
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
68.3%
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)))))
46.6%
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
79.3%
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
56.5%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
79.2%
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
79.7%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
79.3%
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
56.1%
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
44.4%
(/.f64 #s(literal 1 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)))))
51.7%
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) V) #s(literal 1/2 binary64)) c0) (sqrt.f64 l)))
46.6%
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
37.4%
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
59.5%
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
59.4%
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
79.3%
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
68.3%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
18.2%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
61.5%
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
32.8%
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
27.2%
(*.f64 c0 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64))))
79.4%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
79.7%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
79.2%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
79.8%
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
79.5%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 1169 to 558 computations (52.3% saved)

regimes152.0ms (1.5%)

Counts
62 → 2
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
(/.f64 (/.f64 A (sqrt.f64 (*.f64 A l))) (/.f64 (sqrt.f64 V) c0))
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.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 (/.f64 A (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))) (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))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(*.f64 c0 (*.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 #s(literal 1 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 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
(*.f64 c0 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) V) #s(literal 1/2 binary64)) c0) (sqrt.f64 l)))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(*.f64 c0 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64))))
Outputs
(*.f64 c0 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
Calls

8 calls:

30.0ms
A
18.0ms
(*.f64 V l)
17.0ms
l
16.0ms
V
16.0ms
c0
Results
AccuracySegmentsBranch
83.0%3c0
90.9%2A
89.9%3V
88.7%2l
85.4%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
86.6%3(sqrt.f64 (/.f64 A (*.f64 V l)))
86.6%3(/.f64 A (*.f64 V l))
91.3%3(*.f64 V l)
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes76.0ms (0.8%)

Counts
58 → 5
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
(/.f64 (/.f64 A (sqrt.f64 (*.f64 A l))) (/.f64 (sqrt.f64 V) c0))
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.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 (/.f64 A (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l))) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))) (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))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(*.f64 c0 (*.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 #s(literal 1 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 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)))))
Calls

4 calls:

23.0ms
A
17.0ms
V
16.0ms
(*.f64 V l)
15.0ms
l
Results
AccuracySegmentsBranch
87.7%2V
84.7%2l
92.4%5(*.f64 V l)
85.8%2A
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes39.0ms (0.4%)

Counts
48 → 5
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
(/.f64 (/.f64 A (sqrt.f64 (*.f64 A l))) (/.f64 (sqrt.f64 V) c0))
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.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 (/.f64 A (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
Calls

1 calls:

34.0ms
(*.f64 V l)
Results
AccuracySegmentsBranch
92.4%5(*.f64 V l)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes31.0ms (0.3%)

Counts
47 → 2
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
(/.f64 (/.f64 A (sqrt.f64 (*.f64 A l))) (/.f64 (sqrt.f64 V) c0))
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.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 (/.f64 A (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
Outputs
(*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
Calls

2 calls:

14.0ms
(*.f64 V l)
13.0ms
V
Results
AccuracySegmentsBranch
86.5%2V
87.1%3(*.f64 V l)
Compiler

Compiled 12 to 9 computations (25% saved)

regimes67.0ms (0.7%)

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 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (/.f64 c0 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V A))))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0) (sqrt.f64 V))
(/.f64 (/.f64 A (sqrt.f64 (*.f64 A l))) (/.f64 (sqrt.f64 V) c0))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))
Calls

5 calls:

15.0ms
(/.f64 A (*.f64 V l))
13.0ms
A
13.0ms
V
11.0ms
(*.f64 V l)
11.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
AccuracySegmentsBranch
85.1%3(sqrt.f64 (/.f64 A (*.f64 V l)))
85.1%3(/.f64 A (*.f64 V l))
87.9%4(*.f64 V l)
86.3%3A
82.1%2V
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes33.0ms (0.3%)

Counts
35 → 5
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
Calls

3 calls:

10.0ms
l
10.0ms
(*.f64 V l)
10.0ms
A
Results
AccuracySegmentsBranch
82.9%2l
84.5%3A
88.9%5(*.f64 V l)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes21.0ms (0.2%)

Counts
33 → 5
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Calls

2 calls:

9.0ms
(*.f64 V l)
8.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
85.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
88.5%5(*.f64 V l)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes20.0ms (0.2%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) #s(literal 1/2 binary64)))
(/.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) #s(literal 1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 #s(literal 1 binary64) V)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 l A)) V)))
(*.f64 c0 (/.f64 A (sqrt.f64 (*.f64 (*.f64 A l) V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 l V))))
(/.f64 (pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 A (/.f64 A (*.f64 l A))) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) A) (-.f64 #s(literal 0 binary64) V))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) A) V))))
(*.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 (*.f64 A A) V) A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 V A) A) l) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 (/.f64 (*.f64 A A) A) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 V (*.f64 A A))) A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 V A) (*.f64 (/.f64 #s(literal 1 binary64) A) A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 V (*.f64 A A))))) l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Outputs
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Calls

2 calls:

8.0ms
(*.f64 V l)
8.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
85.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
84.4%3(*.f64 V l)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Calls

1 calls:

2.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
AccuracySegmentsBranch
85.1%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
Calls

3 calls:

2.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
2.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
2.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
85.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
85.0%3(/.f64 A (*.f64 V l))
85.0%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes5.0ms (0%)

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

3 calls:

2.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
1.0ms
(/.f64 A (*.f64 V l))
Results
AccuracySegmentsBranch
85.0%3(sqrt.f64 (/.f64 A (*.f64 V l)))
85.0%3(/.f64 A (*.f64 V l))
85.0%3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes12.0ms (0.1%)

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
V
1.0ms
c0
1.0ms
l
1.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
AccuracySegmentsBranch
79.5%1c0
79.5%1V
79.5%1(*.f64 V l)
79.5%1l
79.5%1A
79.5%1(sqrt.f64 (/.f64 A (*.f64 V l)))
79.5%1(/.f64 A (*.f64 V l))
79.5%1(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 58 to 42 computations (27.6% saved)

bsearch29.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-3.197487060781376e-303
1.0328717153612129e-306
Results
11.0ms144×0valid
8.0ms122×0invalid
Compiler

Compiled 325 to 239 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.5% of total)
ival-div: 2.0ms (25.2% of total)
ival-sqrt: 2.0ms (25.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5163632790488673e+289
2.149503668310098e+293
0.0ms
4.2651925234575e-311
6.77677672842071e-292
0.0ms
-1.869153230674608e-255
-1.8443444368493465e-259
0.0ms
-5.549477923572537e+218
-4.011354723548627e+218
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5163632790488673e+289
2.149503668310098e+293
0.0ms
4.2651925234575e-311
6.77677672842071e-292
0.0ms
-1.869153230674608e-255
-1.8443444368493465e-259
0.0ms
-5.549477923572537e+218
-4.011354723548627e+218
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch39.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-1.369540723695157e-304
3.8582456933190133e-308
Results
15.0ms221×0invalid
11.0ms128×0valid
Compiler

Compiled 275 to 206 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47% of total)
ival-div: 3.0ms (28.2% of total)
ival-sqrt: 2.0ms (18.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.2651925234575e-311
6.77677672842071e-292
0.0ms
-2.634583166189053e-266
-2.4854180773003914e-274
0.0ms
-8.585757270864592e+176
-1.7641696965198986e+172
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.262660195151591e+102
6.233060253097597e+102
0.0ms
6.77677672842071e-292
2.5454170237148806e-288
0.0ms
-1.408720429604405e-158
-1.5417460306642064e-159
0.0ms
-8.585757270864592e+176
-1.7641696965198986e+172
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.283319235852471e+175
2.7538936533533446e+196
0.0ms
6.77677672842071e-292
2.5454170237148806e-288
0.0ms
-1.408720429604405e-158
-1.5417460306642064e-159
0.0ms
-8.585757270864592e+176
-1.7641696965198986e+172
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6342363863206037e+268
1.374885304616108e+297
0.0ms
3.254757479680017e-279
7.146167466173309e-279
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6342363863206037e+268
1.374885304616108e+297
0.0ms
0.0
9.34e-322
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.374885304616108e+297
1.5879492922790736e+307
0.0ms
0.0
9.34e-322
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6342363863206037e+268
1.374885304616108e+297
0.0ms
0.0
9.34e-322
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
40×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64
sub0-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132565
1167565
2177565
3180565
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 A #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 c0 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V)))) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))))
(if (<=.f64 (*.f64 V l) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -2113178124542661/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) (*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0)) (if (<=.f64 (*.f64 V l) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 V l) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) (/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l)))))))))
(if (<=.f64 (*.f64 V l) #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -2113178124542661/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) (*.f64 (pow.f64 (neg.f64 A) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0)) (if (<=.f64 (*.f64 V l) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 V l) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) (*.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))))))
(if (<=.f64 V #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c0 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))))) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))))
(if (<=.f64 (*.f64 V l) #s(literal -500000000000000003724490251037159945720997469291576936179821270656319926233908080131859938186953529204232801301392323141862716916404886591545284620558119418548269448680219607040 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -1452164949685335/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (if (<=.f64 (*.f64 V l) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))))))
(if (<=.f64 (*.f64 V l) #s(literal -500000000000000003724490251037159945720997469291576936179821270656319926233908080131859938186953529204232801301392323141862716916404886591545284620558119418548269448680219607040 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (if (<=.f64 (*.f64 V l) #s(literal 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (if (<=.f64 (*.f64 V l) #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))
(if (<=.f64 (*.f64 V l) #s(literal -500000000000000003724490251037159945720997469291576936179821270656319926233908080131859938186953529204232801301392323141862716916404886591545284620558119418548269448680219607040 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (*.f64 V l) #s(literal -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (if (<=.f64 (*.f64 V l) #s(literal 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (if (<=.f64 (*.f64 V l) #s(literal 100000000000000000744898050207431989144199493858315387235964254131263985246781616026371987637390705840846560260278464628372543383280977318309056924111623883709653889736043921408 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A)) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 0 binary64)) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 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
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(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))

soundness1.9s (18.6%)

Rules
4496×*-lowering-*.f32
4496×*-lowering-*.f64
3480×*-lowering-*.f32
3480×*-lowering-*.f64
3134×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033133
1172122
21021118
36956118
08810118
035146
1198111
21378111
08765111
0822
12522
212622
373622
4481222
0821022
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1266 to 597 computations (52.8% saved)

preprocess113.0ms (1.1%)

Remove

(negabs c0)

Compiler

Compiled 2192 to 820 computations (62.6% saved)

end0.0ms (0%)

Profiling

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