Details

Time bar (total: 11.5s)

analyze399.0ms (3.5%)

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
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
6.3%6.2%92%0.2%0%1.6%0%9
8.3%8.2%90.1%0.2%0%1.6%0%10
13.6%13.3%84.2%0.2%0%2.3%0%11
17.8%16.2%74.7%0.2%0%9%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (20.6%)

Results
1.2s8256×body256valid
1.0s7472×body256invalid
107.0ms956×body256infinite
Bogosity

preprocess17.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
12×associate-/r*_binary64
swap-V-l
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03284
15684
26484
044
144
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
2
Call 2
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 A (sqrt.f64 (/.f64 c0 (*.f64 V l))))
(*.f64 V (sqrt.f64 (/.f64 A (*.f64 c0 l))))
(*.f64 l (sqrt.f64 (/.f64 A (*.f64 V c0))))
(*.f64 c0 (sqrt.f64 (/.f64 V (*.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 l (*.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 A (sqrt.f64 (/.f64 c0 (*.f64 V l))))
(*.f64 V (sqrt.f64 (/.f64 A (*.f64 c0 l))))
(*.f64 l (sqrt.f64 (/.f64 A (*.f64 V c0))))
(*.f64 l (sqrt.f64 (/.f64 A (*.f64 c0 V))))
(*.f64 c0 (sqrt.f64 (/.f64 V (*.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 l (*.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Symmetry

(sort V l)

Compiler

Compiled 16 to 12 computations (25% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21512
Stop Event
saturated
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))))

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
20.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
20.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.2b
(/.f64 A (*.f64 V l))
16.7b
(sqrt.f64 (/.f64 A (*.f64 V l)))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series25.0ms (0.2%)

Counts
3 → 12
Calls

30 calls:

TimeVariablePointExpression
2.0ms
A
@-inf
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
2.0ms
c0
@inf
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
1.0ms
A
@0
(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms
A
@inf
(/.f64 A (*.f64 V l))
1.0ms
V
@-inf
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
989×pow1_binary64
914×add-log-exp_binary64
914×log1p-expm1-u_binary64
914×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118528
2245628
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (/.f64 1 (*.f64 V l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 A) (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 A) (/.f64 1 (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 V l)) A)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/4)) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) V) (/.f64 (cbrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) 1) (/.f64 (cbrt.f64 A) (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) 1) (/.f64 (sqrt.f64 A) (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (/.f64 A (cbrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (/.f64 (sqrt.f64 A) (cbrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 V l))) (/.f64 A (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (sqrt.f64 (*.f64 V l))) (/.f64 (cbrt.f64 A) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 A V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 A (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 (*.f64 V l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
102 → 91
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

eval15.0ms (0.1%)

Compiler

Compiled 1148 to 426 computations (62.9% saved)

prune35.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New741791
Fresh000
Picked011
Done000
Total741892
Error
3.5b
Counts
92 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
20.3b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))))
18.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
51.0b
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
22.3b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
39.9b
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)
36.9b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
19.6b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
21.3b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
19.3b
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
37.3b
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
45.1b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
57.3b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
40.0b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
19.8b
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
19.0b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
20.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
37.9b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
19.1b
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
Compiler

Compiled 502 to 356 computations (29.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
3.9b
(/.f64 (/.f64 A V) l)
16.7b
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series30.0ms (0.3%)

Counts
3 → 48
Calls

30 calls:

TimeVariablePointExpression
17.0ms
V
@inf
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms
c0
@0
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms
V
@-inf
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms
l
@-inf
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms
A
@inf
(/.f64 (/.f64 A V) l)

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
561×log-prod_binary64
418×exp-prod_binary64
359×pow-prod-down_binary64
280×pow2_binary64
196×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
121728
2284428
Stop Event
node limit
Counts
3 → 118
Calls
Call 1
Inputs
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
(/.f64 (/.f64 A V) l)
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/4) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A V) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (*.f64 (cbrt.f64 (/.f64 A V)) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 A) V) (/.f64 1 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (/.f64 A V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A A)) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) 1) (/.f64 (cbrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) 1) (/.f64 (sqrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (cbrt.f64 (*.f64 l l))) (/.f64 (/.f64 1 V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) -2) (/.f64 (/.f64 A V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (cbrt.f64 (*.f64 l l))) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 (*.f64 l l))) (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 l)) (/.f64 (/.f64 1 V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 5/6) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l (/.f64 V A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (/.f64 V A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1) 1))))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
Stop Event
saturated
Counts
166 → 120
Calls
Call 1
Inputs
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize246.0ms (2.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
3.9b
(/.f64 (/.f64 A V) l)
14.2b
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))
24.3b
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series15.0ms (0.1%)

Counts
2 → 60
Calls

24 calls:

TimeVariablePointExpression
4.0ms
c0
@0
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))
1.0ms
A
@0
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))
1.0ms
V
@0
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))
1.0ms
c0
@inf
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))
1.0ms
l
@0
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))

rewrite56.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
612×log-prod_binary64
446×pow-prod-down_binary64
285×pow2_binary64
245×pow-unpow_binary64
201×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
121525
2301625
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) c0)) (sqrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c0 c0)) (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c0 c0)) (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c0 c0)) (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c0 c0)) (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) (/.f64 l (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 c0) (*.f64 l (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (*.f64 (/.f64 A V) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 A) V) (*.f64 c0 c0)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 c0) (/.f64 (neg.f64 A) V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (*.f64 (/.f64 A V) (*.f64 c0 c0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 c0 c0)) (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1) 2))))))

simplify98.0ms (0.9%)

Algorithm
egg-herbie
Rules
541×fma-neg_binary64
381×times-frac_binary64
331×associate-/l*_binary64
330×unswap-sqr_binary64
299×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015776
135776
286776
3219776
4720776
53077776
63382776
74295776
84883776
96961776
107770776
Stop Event
node limit
Counts
136 → 80
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
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(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
0.3b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
9.1b
(sqrt.f64 (*.f64 V l))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series16.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

TimeVariablePointExpression
4.0ms
V
@-inf
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
1.0ms
V
@-inf
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
1.0ms
l
@-inf
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
1.0ms
V
@0
(sqrt.f64 (*.f64 V l))
1.0ms
l
@-inf
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
563×log-prod_binary64
409×exp-prod_binary64
371×pow-prod-down_binary64
262×pow2_binary64
227×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
120627
2267827
Stop Event
node limit
Counts
3 → 124
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 V l))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 c0 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c0 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) 1) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (cbrt.f64 (*.f64 V l))) (pow.f64 (*.f64 V l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) 1/4)) (pow.f64 (*.f64 V l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 c0 (sqrt.f64 A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 A) (*.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 A)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) 1) (/.f64 (pow.f64 A 1/6) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) 1) (/.f64 (pow.f64 A 1/4) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (cbrt.f64 (*.f64 V l))) (/.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (pow.f64 (*.f64 V l) 1/4)) (/.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 V)) (/.f64 (pow.f64 A 1/6) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)) (/.f64 (pow.f64 A 1/4) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 V l) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 V l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
136 → 125
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
0.6b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
10.0b
(sqrt.f64 (*.f64 l (neg.f64 V)))
Compiler

Compiled 44 to 11 computations (75% saved)

series13.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

TimeVariablePointExpression
2.0ms
l
@-inf
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
1.0ms
A
@-inf
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
1.0ms
A
@-inf
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
1.0ms
l
@0
(sqrt.f64 (*.f64 l (neg.f64 V)))
0.0ms
V
@inf
(sqrt.f64 (*.f64 l (neg.f64 V)))

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
600×log-prod_binary64
375×pow-prod-down_binary64
281×pow-unpow_binary64
268×pow2_binary64
191×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
125227
2342527
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 l (neg.f64 V)))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l V)) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/6) (cbrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/4) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 l V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 l V))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 c0 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c0 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) 1) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (cbrt.f64 (*.f64 l V))) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 l V) 1/4)) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 l V)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 c0 (sqrt.f64 A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 l V)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 A) (*.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 A)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) 1) (/.f64 (pow.f64 A 1/6) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) 1) (/.f64 (pow.f64 A 1/4) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (cbrt.f64 (*.f64 l V))) (/.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/4) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (pow.f64 (*.f64 l V) 1/4)) (/.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 l V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 l V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) -1))))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
121 → 110
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
3.9b
(/.f64 (/.f64 A V) l)
5.4b
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
16.7b
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 51 to 12 computations (76.5% saved)

series109.0ms (1%)

Counts
3 → 48
Calls

33 calls:

TimeVariablePointExpression
41.0ms
A
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
13.0ms
l
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
12.0ms
V
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
9.0ms
l
@inf
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
9.0ms
V
@inf
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
575×log-prod_binary64
427×exp-prod_binary64
393×pow-prod-down_binary64
274×pow2_binary64
211×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
121035
2285135
Stop Event
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (/.f64 A V) l))
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 c0) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1) 1))))))
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simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
570×fma-def_binary64
369×exp-sum_binary64
342×fma-neg_binary64
305×div-sub_binary64
275×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0791092
11981020
2490924
31412816
44031768
Stop Event
node limit
Counts
160 → 125
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A)))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))))
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))))
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A))))))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6)))
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))

eval141.0ms (1.2%)

Compiler

Compiled 9823 to 3674 computations (62.6% saved)

prune174.0ms (1.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New67515690
Fresh7512
Picked101
Done235
Total68523708
Error
1.7b
Counts
708 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
18.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
36.9b
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
18.9b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
48.0b
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
51.0b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
50.9b
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
21.3b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
22.3b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
45.7b
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
45.1b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
24.9b
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))) 3)
19.0b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
20.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
19.9b
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
21.5b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
37.9b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
50.0b
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
46.4b
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
51.2b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)) 3)
57.3b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
40.0b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
24.4b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
19.1b
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
Compiler

Compiled 604 to 426 computations (29.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
3.9b
(/.f64 (/.f64 A V) l)
16.7b
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

12 calls:

TimeVariablePointExpression
0.0ms
l
@-inf
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
0.0ms
V
@-inf
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
0.0ms
A
@-inf
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
0.0ms
V
@inf
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
0.0ms
A
@inf
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

rewrite46.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
536×log-prod_binary64
398×exp-prod_binary64
363×pow-prod-down_binary64
257×pow2_binary64
185×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
119112
2264812
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1) 1))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
38 → 27
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.9b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
5.1b
(/.f64 (*.f64 l V) A)
17.7b
(sqrt.f64 (/.f64 (*.f64 l V) A))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series31.0ms (0.3%)

Counts
3 → 48
Calls

30 calls:

TimeVariablePointExpression
15.0ms
A
@0
(sqrt.f64 (/.f64 (*.f64 l V) A))
2.0ms
A
@0
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
1.0ms
l
@0
(sqrt.f64 (/.f64 (*.f64 l V) A))
1.0ms
A
@-inf
(sqrt.f64 (/.f64 (*.f64 l V) A))
1.0ms
V
@-inf
(sqrt.f64 (/.f64 (*.f64 l V) A))

rewrite78.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
546×log-prod_binary64
410×exp-prod_binary64
335×pow-prod-down_binary64
257×pow2_binary64
186×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119128
2266528
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (*.f64 l V) A))
(/.f64 (*.f64 l V) A)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 l (/.f64 A V))) (pow.f64 (/.f64 l (/.f64 A V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/6) (cbrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/4) (pow.f64 (/.f64 l (/.f64 A V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) (pow.f64 A -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) (neg.f64 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 A V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 l (/.f64 A V))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 l (/.f64 A V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 l (/.f64 A V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 l (/.f64 A V))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 l (/.f64 A V))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 l (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 l (/.f64 A V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 V (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (*.f64 l (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l V) (/.f64 1 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 l (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 l (/.f64 A V))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) -2)) (cbrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 l V) 2)) (*.f64 (cbrt.f64 (*.f64 l V)) (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/4) (pow.f64 (/.f64 l (/.f64 A V)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 (*.f64 l V)) (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (neg.f64 V)) (/.f64 1 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 A) (*.f64 l V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l (/.f64 A V)) 3/4) (pow.f64 (/.f64 l (/.f64 A V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A -1/2) (/.f64 (*.f64 l V) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 1) (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V 1) (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l A) V)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 l V) 2)) 1) (/.f64 (cbrt.f64 (*.f64 l V)) A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l V)) 1) (/.f64 (sqrt.f64 (*.f64 l V)) A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (pow.f64 (cbrt.f64 A) 2)) (/.f64 V (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V (pow.f64 (cbrt.f64 A) 2)) (/.f64 l (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 A) -2) (/.f64 (*.f64 l V) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 l V) 2)) (pow.f64 (cbrt.f64 A) 2)) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 l (/.f64 A V))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l (/.f64 A V)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 l V) 3) (pow.f64 A 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 A V) l) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 l (/.f64 A V)))) 2)) (cbrt.f64 (log.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 l (/.f64 A V))))) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 l V)) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 l V)) 1) (*.f64 (log.f64 A) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A V) l))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 l (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 l (/.f64 A V)))) (/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (/.f64 l (/.f64 A V)))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (/.f64 l (/.f64 A V)))) (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 l (/.f64 A V)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1/4) (/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 l (/.f64 A V)) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 l (/.f64 A V)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A V) l) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 l (/.f64 A V))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 l (/.f64 A V))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))) 1)))))))

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
associate-/l*_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010396
116396
220396
323396
424396
Stop Event
saturated
Counts
217 → 172
Calls
Call 1
Inputs
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
5.4b
(*.f64 (/.f64 1 V) (/.f64 A l))
16.7b
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
Compiler

Compiled 40 to 20 computations (50% saved)

series82.0ms (0.7%)

Counts
3 → 48
Calls

30 calls:

TimeVariablePointExpression
73.0ms
c0
@0
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
0.0ms
V
@-inf
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
0.0ms
V
@0
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
0.0ms
l
@-inf
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
0.0ms
V
@-inf
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
589×log-prod_binary64
422×pow-prod-down_binary64
286×pow2_binary64
228×pow-unpow_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
122728
2296928
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
(*.f64 (/.f64 1 V) (/.f64 A l))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 V (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 l A) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 V l) A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 V (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 V) (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (/.f64 V (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 A) 2) (/.f64 (*.f64 V l) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 A l)) 2) (/.f64 V (cbrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (/.f64 (*.f64 V l) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A l)) (/.f64 V (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 V) (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 l A) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (neg.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (*.f64 (neg.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 A l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 A V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 A)) (*.f64 (neg.f64 V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 A) 1) (*.f64 (neg.f64 l) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A -1) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 A) -1) (*.f64 (neg.f64 l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A l) (sqrt.f64 V)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A l) 1) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A l) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A V) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A V) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A V) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 A l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 A) (/.f64 1 V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 V) (neg.f64 A)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 A l) -1) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A l) 3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (/.f64 A l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 A V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A l) 3) (pow.f64 V 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
Stop Event
saturated
Counts
175 → 128
Calls
Call 1
Inputs
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sqrt.f64 A) c0)
1.3b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
9.1b
(sqrt.f64 (*.f64 V l))
Compiler

Compiled 30 to 9 computations (70% saved)

series8.0ms (0.1%)

Counts
2 → 12
Calls

18 calls:

TimeVariablePointExpression
1.0ms
A
@-inf
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
1.0ms
A
@0
(*.f64 (sqrt.f64 A) c0)
1.0ms
A
@-inf
(*.f64 (sqrt.f64 A) c0)
1.0ms
c0
@0
(*.f64 (sqrt.f64 A) c0)
0.0ms
V
@-inf
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
573×log-prod_binary64
422×exp-prod_binary64
368×pow-prod-down_binary64
262×pow2_binary64
220×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
120420
2267620
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 (sqrt.f64 A) c0)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 c0 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) (cbrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 A) (neg.f64 c0)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (*.f64 (sqrt.f64 A) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) 1) (/.f64 c0 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) 1) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) 1) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 (*.f64 V l))) (/.f64 c0 (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (cbrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V l))) (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (cbrt.f64 (*.f64 V l))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (cbrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/4)) (/.f64 c0 (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (pow.f64 (*.f64 V l) 1/4)) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (pow.f64 (*.f64 V l) 1/4)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (sqrt.f64 V)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 V)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) (pow.f64 (*.f64 V l) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) (pow.f64 (*.f64 V l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 A) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 A) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 A) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 A (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 A (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 A) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 A) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)) 1) 1))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
98 → 87
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)
1.0b
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
3.9b
(/.f64 (/.f64 A V) l)
17.9b
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)
Compiler

Compiled 45 to 19 computations (57.8% saved)

series104.0ms (0.9%)

Counts
3 → 84
Calls

30 calls:

TimeVariablePointExpression
50.0ms
A
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)
16.0ms
l
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)
12.0ms
V
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)
7.0ms
A
@inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)
7.0ms
V
@inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)

rewrite167.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
618×log-prod_binary64
388×pow-prod-down_binary64
318×pow2_binary64
220×pow-unpow_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
126331
2331031
Stop Event
node limit
Counts
3 → 74
Calls
Call 1
Inputs
(pow.f64 (/.f64 (/.f64 A V) l) 1/4)
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
(pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/12) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) (pow.f64 (/.f64 (/.f64 A V) l) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/8) (pow.f64 (/.f64 (/.f64 A V) l) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (/.f64 (/.f64 A V) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (/.f64 A V) l))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/8 (log.f64 (/.f64 (/.f64 A V) l))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/8) (pow.f64 (/.f64 (/.f64 A V) l) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/8) (pow.f64 (/.f64 (/.f64 A V) l) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 5/6) (pow.f64 (/.f64 (/.f64 A V) l) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (/.f64 A V) l))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6)) 3))))))

simplify68.0ms (0.6%)

Algorithm
egg-herbie
Rules
802×fma-neg_binary64
573×exp-sum_binary64
439×div-sub_binary64
382×exp-diff_binary64
372×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0801548
12211404
25351188
31644828
45964828
Stop Event
node limit
Counts
158 → 96
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) 2)
Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 1/4) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 A V) 1/4))
(pow.f64 (/.f64 (/.f64 A l) V) 1/4)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
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eval134.0ms (1.2%)

Compiler

Compiled 9714 to 3571 computations (63.2% saved)

prune222.0ms (1.9%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New70816724
Fresh8715
Picked101
Done257
Total71928747
Error
1.3b
Counts
747 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
51.2b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)) 3)
21.8b
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
18.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
36.9b
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
19.0b
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
21.8b
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
21.3b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
18.9b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
19.8b
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
45.7b
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
24.9b
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))) 3)
29.0b
(*.f64 c0 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) 2))
19.7b
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
20.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
19.9b
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
47.1b
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
39.9b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
24.4b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
19.9b
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
37.9b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
22.3b
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
51.0b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
22.5b
(*.f64 c0 (pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4)) 2))
57.3b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
40.0b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
50.9b
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
19.8b
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0) -1)
50.3b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
Compiler

Compiled 723 to 515 computations (28.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.9b
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
3.9b
(/.f64 (/.f64 A V) l)
16.7b
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

21 calls:

TimeVariablePointExpression
1.0ms
A
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)
1.0ms
A
@0
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)
1.0ms
A
@inf
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)
1.0ms
l
@0
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)
1.0ms
V
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)

rewrite55.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
595×log-prod_binary64
341×pow-prod-down_binary64
299×pow2_binary64
208×pow1/3_binary64
204×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
122322
2310621
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(pow.f64 (/.f64 (/.f64 A V) l) -1/2)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) -1/6) (cbrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (/.f64 V A))) (pow.f64 (/.f64 A (*.f64 V l)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) -1/4) (pow.f64 (/.f64 A (*.f64 V l)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) -1) (pow.f64 (/.f64 A (*.f64 V l)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 l (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) -1/4) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))) (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l)))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (pow.f64 (*.f64 c0 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))) (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (*.f64 l (/.f64 V A)))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (*.f64 l (/.f64 V A)))) (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 A (*.f64 V l)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 A (*.f64 V l)) -1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 A (*.f64 V l)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 A (*.f64 V l)) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 A (*.f64 V l)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))) 1) 1))))))

simplify52.0ms (0.5%)

Algorithm
egg-herbie
Rules
711×fma-def_binary64
475×exp-sum_binary64
436×fma-neg_binary64
352×div-sub_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070792
1183720
2457612
31201504
43288504
Stop Event
node limit
Counts
118 → 81
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
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(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
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(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
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(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
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(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
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(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))
(*.f64 (pow.f64 l 1/2) (pow.f64 (/.f64 A V) -1/2))
(pow.f64 (/.f64 (/.f64 A l) V) -1/2)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
5.4b
(/.f64 (/.f64 A l) V)
16.7b
(sqrt.f64 (/.f64 (/.f64 A l) V))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series11.0ms (0.1%)

Counts
3 → 48
Calls

30 calls:

TimeVariablePointExpression
2.0ms
V
@inf
(sqrt.f64 (/.f64 (/.f64 A l) V))
0.0ms
V
@-inf
(sqrt.f64 (/.f64 (/.f64 A l) V))
0.0ms
A
@0
(sqrt.f64 (/.f64 (/.f64 A l) V))
0.0ms
l
@-inf
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
0.0ms
A
@-inf
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)

rewrite69.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
536×log-prod_binary64
398×exp-prod_binary64
362×pow-prod-down_binary64
257×pow2_binary64
185×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119128
2264828
Stop Event
node limit
Counts
3 → 140
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (/.f64 A l) V))
(/.f64 (/.f64 A l) V)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 l V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A l) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A l) 3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V (/.f64 l A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A l) 3) (pow.f64 V 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 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exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (*.f64 (log.f64 V) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 l V)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 l V)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 1) 1))))))

simplify29.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
Stop Event
saturated
Counts
188 → 142
Calls
Call 1
Inputs
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
4.6b
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
5.1b
(/.f64 (*.f64 A c0) V)
24.3b
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series61.0ms (0.5%)

Counts
3 → 60
Calls

33 calls:

TimeVariablePointExpression
48.0ms
V
@inf
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
1.0ms
A
@0
(/.f64 (*.f64 A c0) V)
1.0ms
V
@0
(/.f64 (*.f64 A c0) V)
1.0ms
V
@inf
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
1.0ms
A
@inf
(/.f64 (*.f64 A c0) V)

rewrite121.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
666×log-prod_binary64
507×pow-prod-down_binary64
299×pow2_binary64
268×pow-unpow_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
121835
2322735
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(/.f64 (*.f64 A c0) V)
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/6) (cbrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 A V) c0)) (sqrt.f64 (/.f64 c0 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/4) (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c0 l)) (sqrt.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (*.f64 c0 c0) A)) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 c0 (/.f64 (/.f64 V c0) A))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 c0 l) (*.f64 c0 A))) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 A V) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 A V) c0))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 A V) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 A V) c0)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 A V) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 A V) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 A (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (/.f64 V c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (*.f64 c0 (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 A) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 A V) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 A V) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 A V) c0)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 A V) c0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 A V) c0) 2)) (cbrt.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c0 A)) 2) (*.f64 (cbrt.f64 (*.f64 c0 A)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 A V) c0)) (sqrt.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 A)) (*.f64 (sqrt.f64 (*.f64 c0 A)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (neg.f64 A)) (/.f64 1 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (*.f64 c0 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A V) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A 1) (/.f64 c0 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c0 A)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c0 A)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c0 A)) 1) (/.f64 (sqrt.f64 (*.f64 c0 A)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (pow.f64 (cbrt.f64 V) 2)) (/.f64 A (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (pow.f64 (cbrt.f64 V) 2)) (/.f64 c0 (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 V) -2) (/.f64 (*.f64 c0 A) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c0 A)) 2) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c0 A)) (pow.f64 (cbrt.f64 V) 2)) (/.f64 (sqrt.f64 (*.f64 c0 A)) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 A (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (*.f64 c0 A) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c0 A)) 2) (sqrt.f64 V)) (/.f64 (cbrt.f64 (*.f64 c0 A)) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A V) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 A V) c0) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 V c0) A) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A V) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 A V) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 V c0) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c0 A) 3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 V c0) A) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c0 A) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 A V) c0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 A V) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 V c0) A) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c0 A) 3) (pow.f64 V 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 A V) c0)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c0 l)) (*.f64 (/.f64 A V) c0))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c0 l)) (*.f64 (/.f64 A V) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c0 l)) (*.f64 (/.f64 A V) c0)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c0 l)) (*.f64 (/.f64 A V) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (*.f64 l (/.f64 (/.f64 V c0) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (*.f64 (/.f64 (/.f64 V c0) A) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (/.f64 (*.f64 l V) (*.f64 c0 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (/.f64 l (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 (/.f64 l c0) (/.f64 V c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 A) (*.f64 l (/.f64 V c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 A) (*.f64 V (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 A V) c0) (/.f64 l c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 l c0) (/.f64 (/.f64 V c0) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 V c0) A) (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 l V) (*.f64 (*.f64 c0 c0) A)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 c0 (/.f64 (/.f64 V c0) A))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 c0 l) (*.f64 c0 A))) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c0) 1) (*.f64 (neg.f64 l) (/.f64 (/.f64 V c0) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (neg.f64 A)) 1) (*.f64 (neg.f64 V) (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c0) (*.f64 c0 A)) (*.f64 (neg.f64 l) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (*.f64 c0 (neg.f64 A))) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c0) (*.f64 c0 (neg.f64 A))) (*.f64 (neg.f64 l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (neg.f64 A)) c0) (*.f64 (neg.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 A) (neg.f64 c0)) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (neg.f64 A)) (neg.f64 c0)) (*.f64 (neg.f64 V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c0 (/.f64 (/.f64 V c0) A)) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c0 (/.f64 (/.f64 V c0) A)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c0 (/.f64 (/.f64 V c0) A)) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c0 l) (*.f64 c0 A)) 1) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c0 l) (*.f64 c0 A)) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c0 l) (*.f64 c0 A)) (sqrt.f64 V)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c0) (*.f64 (/.f64 A V) c0)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (/.f64 c0 l)) (/.f64 V c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (neg.f64 A)) (/.f64 c0 l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c0 l) A) (/.f64 V c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c0 l) (*.f64 c0 (neg.f64 A))) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 A V) c0) (neg.f64 c0)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l c0) (/.f64 (/.f64 V c0) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 V c0) A) (/.f64 l c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) (*.f64 (*.f64 c0 c0) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 c0 (/.f64 (/.f64 V c0) A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (*.f64 (/.f64 c0 l) (*.f64 c0 A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c0 l)) (*.f64 (/.f64 A V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1))))))

simplify100.0ms (0.9%)

Algorithm
egg-herbie
Rules
541×fma-neg_binary64
381×times-frac_binary64
331×associate-/l*_binary64
330×unswap-sqr_binary64
299×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015776
135776
286776
3219776
4720776
53077776
63382776
74295776
84883776
96961776
107770776
Stop Event
node limit
Counts
213 → 158
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A V) (/.f64 c0 (/.f64 l c0)))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(*.f64 (*.f64 A (/.f64 c0 V)) (/.f64 c0 l))
(*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))
0.9b
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
11.3b
(sqrt.f64 (/.f64 A V))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series13.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

TimeVariablePointExpression
1.0ms
A
@0
(sqrt.f64 (/.f64 A V))
1.0ms
A
@-inf
(/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))
1.0ms
V
@-inf
(/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))
1.0ms
A
@-inf
(sqrt.f64 (/.f64 A V))
1.0ms
V
@-inf
(sqrt.f64 (/.f64 A V))

rewrite94.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
624×log-prod_binary64
352×pow-prod-down_binary64
285×pow2_binary64
223×pow-unpow_binary64
201×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
121827
2311327
Stop Event
node limit
Counts
3 → 136
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 A V))
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
(/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (cbrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 l (/.f64 V A)))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 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(sqrt.f64 l)) (pow.f64 (/.f64 A V) 1/4)) (pow.f64 (/.f64 A V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (*.f64 l (/.f64 V A))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 l (/.f64 V A)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 l (/.f64 V A)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (/.f64 V A)) 1/6) (cbrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (/.f64 V A))) (pow.f64 (*.f64 l (/.f64 V A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (*.f64 (pow.f64 l 1/6) (sqrt.f64 (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 1/4) (*.f64 (pow.f64 l 1/4) (sqrt.f64 (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (/.f64 V A)) 1/4) (pow.f64 (*.f64 l (/.f64 V A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 l)) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 l) (cbrt.f64 (/.f64 A V))) (pow.f64 (*.f64 l (/.f64 V A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 l) 1) (/.f64 (pow.f64 l 1/6) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 l 1/4) 1) (/.f64 (pow.f64 l 1/4) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 A V))) (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 l 1/4) (cbrt.f64 (/.f64 A V))) (/.f64 (pow.f64 l 1/4) (pow.f64 (/.f64 A V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) -1/4) (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 l) (pow.f64 (/.f64 A V) 1/4)) (/.f64 (pow.f64 l 1/6) (pow.f64 (/.f64 A V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (/.f64 V A)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (/.f64 V A)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (/.f64 V A)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 l 3/2) (pow.f64 (/.f64 A V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 l) (neg.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 l (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l 3/2) (pow.f64 (/.f64 A V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l (/.f64 V A)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l (/.f64 V A)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l (/.f64 V A)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (/.f64 V A))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) -1))))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
148 → 137
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))
0.6b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
10.0b
(sqrt.f64 (*.f64 l (neg.f64 V)))
Compiler

Compiled 44 to 11 computations (75% saved)

series9.0ms (0.1%)

Counts
2 → 12
Calls

21 calls:

TimeVariablePointExpression
1.0ms
c0
@-inf
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
1.0ms
l
@-inf
(/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))
0.0ms
A
@-inf
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
0.0ms
l
@-inf
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
0.0ms
V
@-inf
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
648×log-prod_binary64
358×pow-prod-down_binary64
291×pow-unpow_binary64
278×pow2_binary64
197×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
125821
2367621
Stop Event
node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
(/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))) (cbrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 V (/.f64 A l)))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))) (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 c0) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/2) (/.f64 c0 (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 (*.f64 l V))) (/.f64 (cbrt.f64 c0) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (/.f64 V (/.f64 A l)))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 V (/.f64 A l)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) -1/2) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 V (/.f64 A l)) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 V (/.f64 A l)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l V)))) (neg.f64 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) 1) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (cbrt.f64 A)) (pow.f64 A 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 (sqrt.f64 (*.f64 l V))) (pow.f64 A 1/4)) (pow.f64 A 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (/.f64 V (/.f64 A l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 V (/.f64 A l)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 V (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 V (/.f64 A l)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) (pow.f64 A -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 V (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V (/.f64 A l)) 1/6) (cbrt.f64 (/.f64 V (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 V (/.f64 A l))) (pow.f64 (/.f64 V (/.f64 A l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l V)) (*.f64 (pow.f64 (*.f64 l V) 1/6) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V (/.f64 A l)) 1/4) (pow.f64 (/.f64 V (/.f64 A l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 V) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/4) (*.f64 (pow.f64 (*.f64 l V) 1/4) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 l V))) (/.f64 1 (neg.f64 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A -1/2) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 l V)) 1) (/.f64 (pow.f64 (*.f64 l V) 1/6) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) 1) (/.f64 (sqrt.f64 V) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 l V) 1/4) 1) (/.f64 (pow.f64 (*.f64 l V) 1/4) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 A)) (/.f64 (sqrt.f64 (*.f64 l V)) (pow.f64 A 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 l V)) (cbrt.f64 A)) (pow.f64 (/.f64 V (/.f64 A l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 A)) (/.f64 (sqrt.f64 V) (pow.f64 A 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 l V) 1/4) (cbrt.f64 A)) (/.f64 (pow.f64 (*.f64 l V) 1/4) (pow.f64 A 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A -1/4) (/.f64 (sqrt.f64 (*.f64 l V)) (pow.f64 A 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 l V)) (pow.f64 A 1/4)) (/.f64 (pow.f64 (*.f64 l V) 1/6) (pow.f64 A 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (pow.f64 A 1/4)) (/.f64 (sqrt.f64 V) (pow.f64 A 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (/.f64 A l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 l V) 3/2) (pow.f64 A 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (neg.f64 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 V (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 V (/.f64 A l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 l V) 3/2) (pow.f64 A 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
saturated
Counts
104 → 93
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)

eval130.0ms (1.1%)

Compiler

Compiled 9412 to 3241 computations (65.6% saved)

prune133.0ms (1.2%)

Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New68918707
Fresh13518
Picked011
Done369
Total70530735
Error
0.7b
Counts
735 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
51.2b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)) 3)
21.8b
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
19.9b
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
21.8b
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
26.1b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
18.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
21.3b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
50.9b
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
21.9b
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
18.9b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
21.9b
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
45.6b
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
47.1b
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1/2))
45.9b
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
19.8b
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0) -1)
33.8b
(/.f64 c0 (/.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))
19.8b
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
21.3b
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
21.2b
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
20.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
48.9b
(cbrt.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3/2))
51.0b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
39.9b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
56.5b
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))
37.9b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
57.3b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
23.5b
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
40.0b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
46.3b
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
51.0b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
Compiler

Compiled 419 to 292 computations (30.3% saved)

regimes661.0ms (5.8%)

Counts
67 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0) -1)
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1/2))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
(/.f64 c0 (/.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))
(*.f64 c0 (pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4)) 2))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)) 3)
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))))
(*.f64 c0 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) 2))
Outputs
(/.f64 c0 (/.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Calls

9 calls:

120.0ms
c0
85.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
84.0ms
(*.f64 V l)
83.0ms
(*.f64 V l)
60.0ms
l
Results
ErrorSegmentsBranch
14.3b5c0
6.7b2A
8.5b2V
8.2b2l
10.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.1b3(/.f64 A (*.f64 V l))
3.1b4(*.f64 V l)
3.1b4(*.f64 V l)
Compiler

Compiled 751 to 297 computations (60.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.51916699628442e+294
+inf
0.0ms
3.819448837e-315
5.402388616803973e-306
0.0ms
-1.577092466557395e-266
-5.196751342278096e-293
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes634.0ms (5.5%)

Counts
58 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0) -1)
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)) 3/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) 1/2))
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
(*.f64 c0 (/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Calls

9 calls:

107.0ms
c0
89.0ms
(*.f64 V l)
88.0ms
(*.f64 V l)
88.0ms
A
71.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
14.3b5c0
8.8b4A
8.5b2V
8.2b2l
10.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.1b3(/.f64 A (*.f64 V l))
3.7b5(*.f64 V l)
3.7b5(*.f64 V l)
Compiler

Compiled 636 to 253 computations (60.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.51916699628442e+294
+inf
0.0ms
3.819448837e-315
5.402388616803973e-306
0.0ms
-1.577092466557395e-266
-5.196751342278096e-293
0.0ms
-inf
-1.9254145194570875e+304
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes411.0ms (3.6%)

Counts
42 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0) -1)
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
Outputs
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Calls

9 calls:

79.0ms
c0
57.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
48.0ms
V
43.0ms
(*.f64 V l)
41.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
14.3b5c0
10.3b2A
9.6b3V
8.2b2l
10.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.1b3(/.f64 A (*.f64 V l))
6.6b3(*.f64 V l)
6.6b3(*.f64 V l)
Compiler

Compiled 460 to 198 computations (57% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.51916699628442e+294
+inf
0.0ms
3.819448837e-315
5.402388616803973e-306
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes442.0ms (3.9%)

Counts
40 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0) -1)
Outputs
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
Calls

9 calls:

93.0ms
c0
63.0ms
V
56.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
40.0ms
(*.f64 V l)
40.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
14.8b5c0
10.3b2A
12.0b4V
8.2b2l
10.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.1b3(/.f64 A (*.f64 V l))
6.6b3(*.f64 V l)
6.6b3(*.f64 V l)
Compiler

Compiled 439 to 187 computations (57.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.51916699628442e+294
+inf
0.0ms
3.819448837e-315
5.402388616803973e-306
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes438.0ms (3.8%)

Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
Outputs
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
Calls

9 calls:

82.0ms
A
81.0ms
c0
55.0ms
V
48.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
37.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
14.8b5c0
12.4b6A
12.0b4V
10.4b2l
10.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.1b3(/.f64 A (*.f64 V l))
10.7b3(*.f64 V l)
10.7b3(*.f64 V l)
Compiler

Compiled 411 to 178 computations (56.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.360682123285758e+245
2.0289111844539e+252
0.0ms
5.3890087863444e-311
3.256157539072e-310
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes351.0ms (3.1%)

Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
Outputs
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))
Calls

9 calls:

71.0ms
A
71.0ms
c0
41.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
31.0ms
(*.f64 V l)
30.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
14.9b5c0
12.4b6A
13.0b2V
10.4b2l
10.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.2b3(/.f64 A (*.f64 V l))
10.7b3(*.f64 V l)
10.7b3(*.f64 V l)
Compiler

Compiled 357 to 167 computations (53.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.360682123285758e+245
2.0289111844539e+252
0.0ms
5.3890087863444e-311
3.256157539072e-310
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes290.0ms (2.5%)

Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(/.f64 c0 (pow.f64 (*.f64 A (/.f64 1 (*.f64 V l))) -1/2))
Outputs
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))
Calls

9 calls:

47.0ms
(*.f64 V l)
47.0ms
(*.f64 V l)
34.0ms
l
34.0ms
A
34.0ms
V
Results
ErrorSegmentsBranch
18.9b1c0
17.7b3A
17.9b3V
17.7b3l
15.4b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.0b3(sqrt.f64 (/.f64 A (*.f64 V l)))
15.0b3(/.f64 A (*.f64 V l))
15.9b5(*.f64 V l)
15.9b5(*.f64 V l)
Compiler

Compiled 339 to 159 computations (53.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0797196509567945e+304
+inf
0.0ms
0.0
5e-324
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes227.0ms (2%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (*.f64 l (/.f64 1 A)))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 V l)))
Outputs
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))
Calls

9 calls:

37.0ms
(*.f64 V l)
36.0ms
(*.f64 V l)
27.0ms
A
27.0ms
l
26.0ms
V
Results
ErrorSegmentsBranch
18.9b1c0
17.7b3A
17.9b3V
17.7b3l
15.8b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.5b3(sqrt.f64 (/.f64 A (*.f64 V l)))
15.5b3(/.f64 A (*.f64 V l))
15.9b5(*.f64 V l)
15.9b5(*.f64 V l)
Compiler

Compiled 258 to 127 computations (50.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0797196509567945e+304
+inf
0.0ms
0.0
5e-324
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes228.0ms (2%)

Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))
Calls

8 calls:

48.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
46.0ms
(/.f64 A (*.f64 V l))
33.0ms
(*.f64 V l)
23.0ms
A
23.0ms
V
Results
ErrorSegmentsBranch
18.9b1c0
17.7b3A
17.9b3V
17.7b3l
15.9b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.5b3(sqrt.f64 (/.f64 A (*.f64 V l)))
15.5b3(/.f64 A (*.f64 V l))
15.9b5(*.f64 V l)
Compiler

Compiled 211 to 107 computations (49.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0797196509567945e+304
+inf
0.0ms
1.2044448134980656e-278
3.51762417189195e-275
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes225.0ms (2%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))
Calls

8 calls:

69.0ms
(*.f64 V l)
52.0ms
V
21.0ms
A
21.0ms
l
17.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
ErrorSegmentsBranch
18.9b1c0
17.9b3A
17.9b3V
17.7b3l
16.2b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.8b3(sqrt.f64 (/.f64 A (*.f64 V l)))
15.8b3(/.f64 A (*.f64 V l))
15.9b5(*.f64 V l)
Compiler

Compiled 201 to 103 computations (48.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0797196509567945e+304
+inf
0.0ms
1.2044448134980656e-278
3.51762417189195e-275
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes138.0ms (1.2%)

Counts
15 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 l (/.f64 A V)) 1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) (*.f64 l V)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A)))) c0)
Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

8 calls:

29.0ms
(*.f64 V l)
23.0ms
l
21.0ms
V
15.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
ErrorSegmentsBranch
18.9b1c0
18.9b1A
17.9b3V
17.7b3l
17.4b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
16.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
16.1b3(/.f64 A (*.f64 V l))
15.9b5(*.f64 V l)
Compiler

Compiled 191 to 98 computations (48.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2782790124080315e+188
4.5353722334028636e+197
0.0ms
2.2830144652350515e-140
3.9362406275649884e-131
0.0ms
-3.4134324947464225e-137
-1.9064423960492518e-138
0.0ms
-3.825253395521623e+224
-5.556887023257983e+218
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes177.0ms (1.5%)

Counts
10 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

8 calls:

60.0ms
l
43.0ms
V
23.0ms
(*.f64 V l)
13.0ms
(/.f64 A (*.f64 V l))
12.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
ErrorSegmentsBranch
18.9b1c0
18.9b1A
17.9b3V
17.7b3l
17.4b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
16.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
16.1b3(/.f64 A (*.f64 V l))
15.9b5(*.f64 V l)
Compiler

Compiled 144 to 79 computations (45.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2782790124080315e+188
4.5353722334028636e+197
0.0ms
5.048319323243538e-252
5.954915706371078e-251
0.0ms
-1.0141728660308864e-45
-5.3787399041305014e-48
0.0ms
-3.825253395521623e+224
-5.556887023257983e+218
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes144.0ms (1.3%)

Counts
9 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

8 calls:

32.0ms
(/.f64 A (*.f64 V l))
29.0ms
l
25.0ms
(*.f64 V l)
15.0ms
V
12.0ms
A
Results
ErrorSegmentsBranch
18.9b1c0
18.9b1A
17.9b3V
17.7b3l
17.4b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
16.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
16.1b3(/.f64 A (*.f64 V l))
16.0b5(*.f64 V l)
Compiler

Compiled 135 to 76 computations (43.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2782790124080315e+188
4.5353722334028636e+197
0.0ms
5.048319323243538e-252
5.954915706371078e-251
0.0ms
-1.0141728660308864e-45
-5.3787399041305014e-48
0.0ms
-3.825253395521623e+224
-5.556887023257983e+218
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes97.0ms (0.8%)

Counts
8 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Outputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

8 calls:

21.0ms
(*.f64 V l)
15.0ms
l
14.0ms
V
12.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
11.0ms
(/.f64 A (*.f64 V l))
Results
ErrorSegmentsBranch
18.9b1c0
18.9b1A
17.9b3V
17.7b3l
17.4b3(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
16.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
16.1b3(/.f64 A (*.f64 V l))
16.0b5(*.f64 V l)
Compiler

Compiled 126 to 73 computations (42.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2782790124080315e+188
4.5353722334028636e+197
0.0ms
5.048319323243538e-252
5.954915706371078e-251
0.0ms
-1.0141728660308864e-45
-5.3787399041305014e-48
0.0ms
-3.641194212044732e+269
-6.0905658765724564e+259
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes23.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Calls

4 calls:

7.0ms
V
5.0ms
l
5.0ms
A
5.0ms
c0
Results
ErrorSegmentsBranch
18.9b1c0
18.9b1A
18.9b1V
18.9b1l
Compiler

Compiled 80 to 43 computations (46.3% saved)

regimes28.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
Outputs
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
Calls

4 calls:

14.0ms
l
5.0ms
A
4.0ms
V
4.0ms
c0
Results
ErrorSegmentsBranch
19.9b1c0
19.9b1A
19.9b1V
18.7b3l
Compiler

Compiled 64 to 35 computations (45.3% saved)

bsearch67.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
63.0ms
2.245156124675191e+207
2.5892923007415805e+209
4.0ms
4.6914781481831e-235
6.7363915172860455e-233
Compiler

Compiled 227 to 158 computations (30.4% saved)

regimes39.0ms (0.3%)

Accuracy

Total -5.1b remaining (-25.9%)

Threshold costs -5.1b (-25.9%)

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

4 calls:

28.0ms
A
3.0ms
l
3.0ms
V
3.0ms
c0
Results
ErrorSegmentsBranch
19.9b1c0
19.9b1A
19.9b1V
19.9b1l
Compiler

Compiled 48 to 32 computations (33.3% saved)

simplify63.0ms (0.5%)

Algorithm
egg-herbie
Rules
22×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471172
11731172
21841172
31921172
41961172
51971172
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))))))
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))))
(if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))
(if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (/.f64 A (*.f64 V l)) 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) (if (<=.f64 (/.f64 A (*.f64 V l)) 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (sqrt.f64 (*.f64 (/.f64 c0 l) (/.f64 (*.f64 A c0) V)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A))) (if (<=.f64 (/.f64 A (*.f64 V l)) 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (sqrt.f64 (/.f64 (/.f64 c0 l) (/.f64 (/.f64 V c0) A)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) (sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l)))))
(if (<=.f64 (*.f64 V l) -199999999999999993909807035896639004185929614489498422429684950520219389765747426705377309150610171428074364818449682269011785762366757412160506499038165807860216189579281066776703092169896013900652031477585337801129043427328) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2)) (if (<=.f64 (*.f64 V l) -8379879956214123/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 4290498537581631/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) (if (<=.f64 (*.f64 V l) 400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 V l) -199999999999999993909807035896639004185929614489498422429684950520219389765747426705377309150610171428074364818449682269011785762366757412160506499038165807860216189579281066776703092169896013900652031477585337801129043427328) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) -1/2)) (if (<=.f64 (*.f64 V l) -6427752177035961/6427752177035961102167848369364650410088811975131171341205504) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) 400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 V l) -199999999999999993909807035896639004185929614489498422429684950520219389765747426705377309150610171428074364818449682269011785762366757412160506499038165807860216189579281066776703092169896013900652031477585337801129043427328) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (*.f64 V l) -6427752177035961/6427752177035961102167848369364650410088811975131171341205504) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) 400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (*.f64 V l) -200000000000000009350763777091225597837921086266082057368272974548803287878911178922073651636060667387815377626808990057865233636932486066294862655483395963277477855972927587117399504047670462204532015658745734277038586652212460686950527605356275509748393576927856689152) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) (if (<=.f64 (*.f64 V l) -6427752177035961/6427752177035961102167848369364650410088811975131171341205504) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) 400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408) (*.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 V) l)))
(if (<=.f64 l 1789931494904685/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) (if (<=.f64 l 255000000000000011343624968534475055808746112484106173031604982634787778743929148589377402052799821820780227332128656323776306800842318066807967061844060172357764857382865139867392798047105459760169898769121280) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
Outputs
(if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))))))
(if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))))))
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))))
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))))
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))))
(if (<=.f64 (*.f64 V l) 1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))
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(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
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(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
Compiler

Compiled 843 to 421 computations (50.1% saved)

soundness0.0ms (0%)

end343.0ms (3%)

Compiler

Compiled 903 to 286 computations (68.3% saved)

Profiling

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