Details

Time bar (total: 18.6s)

analyze467.0ms (2.5%)

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)

sample3.5s (18.6%)

Results
1.8s8256×body256valid
1.4s7491×body256invalid
302.0ms917×body256infinite
Bogosity

preprocess21.0ms (0.1%)

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)

simplify10.0ms (0.1%)

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))))

eval1.0ms (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
19.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
19.5b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
4.2b
(/.f64 A (*.f64 V l))
15.5b
(sqrt.f64 (/.f64 A (*.f64 V l)))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series35.0ms (0.2%)

Counts
3 → 12
Calls

30 calls:

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

rewrite104.0ms (0.6%)

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)))))))

simplify18.0ms (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)

eval74.0ms (0.4%)

Compiler

Compiled 1148 to 426 computations (62.9% saved)

prune62.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New741791
Fresh000
Picked011
Done000
Total741892
Error
3.1b
Counts
92 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
20.3b
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
56.8b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
40.0b
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
49.3b
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))
20.4b
(*.f64 c0 (*.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
20.8b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
34.6b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
19.5b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
41.0b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
42.2b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
39.9b
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)
20.1b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
23.9b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
39.8b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
21.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
19.8b
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
20.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
28.0b
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))
Compiler

Compiled 504 to 352 computations (30.2% saved)

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
1.9b
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
4.6b
(/.f64 l (/.f64 A V))
15.3b
(sqrt.f64 (/.f64 l (/.f64 A V)))
Compiler

Compiled 41 to 13 computations (68.3% saved)

series50.0ms (0.3%)

Counts
4 → 48
Calls

39 calls:

TimeVariablePointExpression
6.0ms
A
@-inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
5.0ms
V
@-inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
3.0ms
V
@0
(sqrt.f64 (/.f64 l (/.f64 A V)))
2.0ms
l
@-inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
2.0ms
l
@0
(sqrt.f64 (/.f64 l (/.f64 A V)))

rewrite117.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
619×log-prod_binary64
364×pow-prod-down_binary64
289×pow2_binary64
226×pow-unpow_binary64
205×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
123337
2314937
Stop Event
node limit
Counts
4 → 179
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 l (/.f64 A V)))
(/.f64 l (/.f64 A V))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 V (/.f64 l A)))))) (#(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 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V (/.f64 l A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 V (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (/.f64 V 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 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 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 l A)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c0) 2) (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (cbrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (sqrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 1) (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (cbrt.f64 (*.f64 V (/.f64 l A)))) (pow.f64 (*.f64 V (/.f64 l A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c0) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 -1) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 V (/.f64 l A)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))))) (#(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 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 V (/.f64 l A)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 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 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -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 V (/.f64 l A)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) (pow.f64 (*.f64 V (/.f64 l A)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V (/.f64 l A)))) (pow.f64 (*.f64 V (/.f64 l A)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) -1)))) (#(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 (pow.f64 (*.f64 V (/.f64 l A)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) -2)))) (#(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 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))) -1)))) (#(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 V (/.f64 l A)) -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 V (/.f64 l A)))) -1))))) (#(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 V (/.f64 l A))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4)) 2))))))

simplify80.0ms (0.4%)

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
227 → 182
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)

localize36.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
4.5b
(/.f64 (/.f64 A V) l)
15.5b
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series128.0ms (0.7%)

Counts
3 → 48
Calls

30 calls:

TimeVariablePointExpression
101.0ms
A
@inf
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
2.0ms
c0
@0
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms
A
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
1.0ms
V
@-inf
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
1.0ms
A
@-inf
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))

rewrite101.0ms (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))))))

simplify24.0ms (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)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
0.4b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
7.5b
(sqrt.f64 (*.f64 V l))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series26.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

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

rewrite102.0ms (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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/6) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 V l)) (pow.f64 (*.f64 V l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/4) (pow.f64 (*.f64 V l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 V l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 V l))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 V l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1) 1))))))
((#(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))))))

simplify30.0ms (0.2%)

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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))
0.3b
(/.f64 1 (*.f64 V l))
0.4b
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
9.9b
(sqrt.f64 (/.f64 1 (*.f64 V l)))
Compiler

Compiled 45 to 21 computations (53.3% saved)

series21.0ms (0.1%)

Counts
4 → 12
Calls

33 calls:

TimeVariablePointExpression
4.0ms
c0
@-inf
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
1.0ms
V
@0
(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms
l
@0
(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms
V
@-inf
(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms
l
@-inf
(sqrt.f64 (/.f64 1 (*.f64 V l)))

rewrite164.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
588×log-prod_binary64
450×pow-prod-down_binary64
427×exp-prod_binary64
290×pow2_binary64
231×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
124135
2289635
Stop Event
node limit
Counts
4 → 154
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (*.f64 V l)))
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
(/.f64 1 (*.f64 V l))
(*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 V l) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 V l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 V l) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 V l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 V l) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 V -1) l)) (pow.f64 (*.f64 V l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/6) (cbrt.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (pow.f64 (*.f64 V l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 V (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 V -1)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 V -1) l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (neg.f64 (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2))) 2)) (cbrt.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2)))) (sqrt.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 V l) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2)) 1) 1))))))
((#(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 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))))) (#(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 c0 (sqrt.f64 A)) (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 pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V 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 (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 (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 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))) (#(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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 V -1) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 V -1) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 V -1) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 V -1) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 V -1) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 V -1) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 V -1) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 V -1) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 V -1) l)) (cbrt.f64 (pow.f64 (*.f64 V l) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 V l) -2)) (cbrt.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (sqrt.f64 (pow.f64 (*.f64 V l) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 V (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 V l) -3/2)) (pow.f64 (*.f64 V l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (pow.f64 V -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) -2) (cbrt.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 V -1) l) 5/6) (pow.f64 (*.f64 V l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 V -1) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 V -1) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 V (neg.f64 l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (*.f64 V l)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (*.f64 V l))))) (sqrt.f64 (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 V l) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 V -1) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -1/2)) 1) 2))))))
((#(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) (sqrt.f64 (*.f64 V 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 (E.f64) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V 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 (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 (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 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 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(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 (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 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))))

simplify11.0ms (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
166 → 155
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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
4.5b
(/.f64 (/.f64 A V) l)
5.5b
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
15.5b
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 51 to 12 computations (76.5% saved)

series174.0ms (0.9%)

Counts
3 → 48
Calls

33 calls:

TimeVariablePointExpression
37.0ms
A
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
37.0ms
A
@inf
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
25.0ms
c0
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
18.0ms
V
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
17.0ms
l
@0
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))

rewrite117.0ms (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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simplify126.0ms (0.7%)

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)))

eval579.0ms (3.1%)

Compiler

Compiled 10941 to 4520 computations (58.7% saved)

prune273.0ms (1.5%)

Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New75319772
Fresh6612
Picked101
Done325
Total76327790
Error
2.2b
Counts
790 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
20.7b
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
19.2b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
23.9b
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
56.8b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
20.9b
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
25.8b
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))) 3)
23.9b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
47.6b
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
20.9b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
19.3b
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
41.2b
(cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3))
34.6b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
21.0b
(*.f64 c0 (pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2))
19.5b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
20.8b
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
41.0b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
51.6b
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
19.8b
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
21.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
24.0b
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))))
20.1b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
52.2b
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
19.6b
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
51.4b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
39.8b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
20.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
45.5b
(pow.f64 (*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) 3)
Compiler

Compiled 769 to 549 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
2.0b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
4.1b
(/.f64 (*.f64 V l) A)
15.3b
(sqrt.f64 (/.f64 (*.f64 V l) A))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series56.0ms (0.3%)

Counts
3 → 12
Calls

30 calls:

TimeVariablePointExpression
43.0ms
l
@0
(/.f64 (*.f64 V l) A)
1.0ms
V
@0
(sqrt.f64 (/.f64 (*.f64 V l) A))
1.0ms
V
@-inf
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
1.0ms
V
@0
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
1.0ms
A
@-inf
(sqrt.f64 (/.f64 (*.f64 V l) A))

rewrite82.0ms (0.4%)

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 V l) A))
(/.f64 (*.f64 V l) A)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
Outputs
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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 l) V))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(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 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A l) V) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 V (/.f64 A l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 V (/.f64 A l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1)))))))

simplify14.0ms (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
181 → 170
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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
4.5b
(/.f64 (/.f64 A V) l)
15.5b
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 30 to 8 computations (73.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))
1.9b
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
4.6b
(*.f64 (/.f64 V A) l)
15.3b
(sqrt.f64 (*.f64 (/.f64 V A) l))
Compiler

Compiled 41 to 13 computations (68.3% saved)

series26.0ms (0.1%)

Counts
4 → 48
Calls

39 calls:

TimeVariablePointExpression
2.0ms
A
@0
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
1.0ms
A
@-inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
1.0ms
V
@-inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
1.0ms
l
@-inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
1.0ms
V
@inf
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))

rewrite142.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
584×log-prod_binary64
438×exp-prod_binary64
369×pow-prod-down_binary64
282×pow2_binary64
228×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
122738
2290838
Stop Event
node limit
Counts
4 → 176
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 V A) l))
(*.f64 (/.f64 V A) l)
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l))))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) (pow.f64 (*.f64 (/.f64 V A) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/6) (cbrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) (pow.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 V A) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) (pow.f64 (*.f64 (/.f64 V A) l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) 1) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (*.f64 (/.f64 V A) l))) 1) 1))))))

simplify45.0ms (0.2%)

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
224 → 179
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)

localize37.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))
1.8b
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
12.8b
(sqrt.f64 (/.f64 A V))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series28.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

TimeVariablePointExpression
4.0ms
V
@0
(sqrt.f64 (/.f64 A V))
2.0ms
c0
@0
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
1.0ms
V
@-inf
(sqrt.f64 (/.f64 A V))
1.0ms
A
@0
(sqrt.f64 (/.f64 A V))
1.0ms
A
@inf
(sqrt.f64 (/.f64 A V))

rewrite97.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
580×log-prod_binary64
428×exp-prod_binary64
389×pow-prod-down_binary64
296×pow2_binary64
231×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
123233
2287233
Stop Event
node limit
Counts
3 → 96
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 A V))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 1/6) (cbrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A V)) (pow.f64 (/.f64 A V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 (/.f64 A V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V A) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V A) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 V) (sqrt.f64 A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A V)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A V))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (*.f64 (/.f64 A V) (/.f64 1 l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (*.f64 (/.f64 A V) (/.f64 1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) (pow.f64 l -1/2)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 l -1/2) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A V) (/.f64 1 l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))) 1) 1))))))

simplify21.0ms (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
108 → 97
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)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
0.3b
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
5.8b
(*.f64 V (/.f64 l A))
18.2b
(pow.f64 (*.f64 V (/.f64 l A)) 1/4)
Compiler

Compiled 50 to 18 computations (64% saved)

series841.0ms (4.5%)

Counts
4 → 132
Calls

42 calls:

TimeVariablePointExpression
129.0ms
V
@0
(/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
107.0ms
A
@0
(pow.f64 (*.f64 V (/.f64 l A)) 1/4)
86.0ms
l
@-inf
(pow.f64 (*.f64 V (/.f64 l A)) 1/4)
71.0ms
V
@-inf
(pow.f64 (*.f64 V (/.f64 l A)) 1/4)
65.0ms
l
@-inf
(/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4))

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
690×log-prod_binary64
397×pow-prod-down_binary64
328×pow2_binary64
251×pow-unpow_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
124642
2343542
Stop Event
node limit
Counts
4 → 141
Calls
Call 1
Inputs
(pow.f64 (*.f64 V (/.f64 l A)) 1/4)
(*.f64 V (/.f64 l A))
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
(/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
Outputs
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(cbrt.f64 (*.f64 c0 c0)) (pow.f64 (/.f64 (*.f64 V l) A) 1/8)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c0 c0)) (pow.f64 V 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 l A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (pow.f64 V 1/4)) (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 l A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (sqrt.f64 (/.f64 (*.f64 V l) A))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (*.f64 V l) A) 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (*.f64 V l) A) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) 1))))))

simplify150.0ms (0.8%)

Algorithm
egg-herbie
Rules
722×exp-sum_binary64
627×div-sub_binary64
521×fma-def_binary64
452×exp-diff_binary64
235×exp-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01271596
13591596
29301488
323251380
464531380
Stop Event
node limit
Counts
273 → 165
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 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 (*.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)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (pow.f64 (/.f64 (*.f64 A 1) (*.f64 V l)) 1/4) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) c0)
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) c0)
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 c0 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) c0)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) c0)
Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(*.f64 (pow.f64 A -1/4) (pow.f64 (*.f64 V l) 1/4))
(pow.f64 (*.f64 l (/.f64 V A)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(*.f64 (pow.f64 A -1/4) (pow.f64 (*.f64 V l) 1/4))
(pow.f64 (*.f64 l (/.f64 V A)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(*.f64 (pow.f64 A -1/4) (pow.f64 (*.f64 V l) 1/4))
(pow.f64 (*.f64 l (/.f64 V A)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(*.f64 (pow.f64 A -1/4) (pow.f64 (*.f64 V l) 1/4))
(pow.f64 (*.f64 l (/.f64 V A)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(*.f64 (pow.f64 A -1/4) (pow.f64 (*.f64 V l) 1/4))
(pow.f64 (*.f64 l (/.f64 V A)) 1/4)
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eval272.0ms (1.5%)

Compiler

Compiled 12612 to 5082 computations (59.7% saved)

prune210.0ms (1.1%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New79520815
Fresh15520
Picked101
Done246
Total81329842
Error
1.7b
Counts
842 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
19.8b
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
19.2b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
34.6b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
19.8b
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
21.1b
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
51.4b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
47.6b
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
19.2b
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
56.9b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))
34.6b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
19.5b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
20.8b
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
41.0b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
51.6b
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
39.8b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
25.1b
(+.f64 0 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))
25.2b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
19.8b
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
20.2b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
24.0b
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))
19.6b
(*.f64 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
20.1b
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
21.1b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
23.9b
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
25.2b
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
24.0b
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))) c0)
24.2b
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (pow.f64 (cbrt.f64 (/.f64 A V)) 3/2)))
23.9b
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
30.7b
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))
Compiler

Compiled 763 to 545 computations (28.6% saved)

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.9b
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
4.1b
(/.f64 (*.f64 V l) A)
15.4b
(pow.f64 (/.f64 (*.f64 V l) A) -1/2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

21 calls:

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

rewrite126.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
552×log-prod_binary64
424×exp-prod_binary64
331×pow-prod-down_binary64
276×pow2_binary64
194×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
121123
2270121
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 V l) A) -1/2)
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
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 (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 (/.f64 V A) 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 (/.f64 V A) l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) -1) (pow.f64 (*.f64 (/.f64 V A) l) -1/6))))) (#(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 (/.f64 V A) 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 (/.f64 V A) l) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (*.f64 (/.f64 V A) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1) -1/2))))) (#(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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) -1/4) 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 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))))) (#(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 c0 c0) (/.f64 A (*.f64 V l))) 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 pow.f64 (exp.f64 1) (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 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2)) (cbrt.f64 (log.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 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(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 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))) (#(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))))))

simplify105.0ms (0.6%)

Algorithm
egg-herbie
Rules
536×exp-sum_binary64
493×fma-neg_binary64
378×div-sub_binary64
370×exp-diff_binary64
345×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070720
1187720
2469612
31197504
43703504
Stop Event
node limit
Counts
98 → 62
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 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
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))
(pow.f64 (*.f64 (/.f64 V A) l) -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)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
5.9b
(/.f64 (/.f64 A l) V)
15.5b
(sqrt.f64 (/.f64 (/.f64 A l) V))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series23.0ms (0.1%)

Counts
3 → 48
Calls

30 calls:

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

rewrite118.0ms (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)))))) 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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))))))

simplify67.0ms (0.4%)

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)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
2.0b
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
4.6b
(*.f64 (/.f64 V A) l)
15.3b
(sqrt.f64 (*.f64 (/.f64 V A) l))
Compiler

Compiled 41 to 11 computations (73.2% saved)

series29.0ms (0.2%)

Counts
2 → 24
Calls

24 calls:

TimeVariablePointExpression
4.0ms
c0
@inf
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
2.0ms
V
@0
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
2.0ms
A
@-inf
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
2.0ms
V
@-inf
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
2.0ms
c0
@0
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)

rewrite120.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
615×log-prod_binary64
380×pow-prod-down_binary64
295×pow2_binary64
231×pow-unpow_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
123224
2309524
Stop Event
node limit
Counts
2 → 104
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V 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egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 V A) l) (pow.f64 c0 -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 (/.f64 V A) l) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 c0) (pow.f64 (*.f64 (/.f64 V A) l) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 (/.f64 V A) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))))) 2))))))

simplify30.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r*_binary64
associate-/r/_binary64
*-rgt-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014324
125288
234288
346288
449288
552288
659288
759288
Stop Event
saturated
Counts
128 → 108
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 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)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)
(/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
2.1b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
12.8b
(sqrt.f64 (/.f64 A V))
Compiler

Compiled 32 to 9 computations (71.9% saved)

series15.0ms (0.1%)

Counts
2 → 12
Calls

21 calls:

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

rewrite75.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
581×log-prod_binary64
428×exp-prod_binary64
366×pow-prod-down_binary64
275×pow2_binary64
207×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
121023
2285223
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (/.f64 1 (/.f64 (sqrt.f64 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) (cbrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 c0)) (/.f64 1 (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (*.f64 (sqrt.f64 (/.f64 A V)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) 1) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) 1) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 l)) (/.f64 c0 (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (cbrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) (cbrt.f64 l)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (cbrt.f64 l)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)) (/.f64 c0 (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (pow.f64 l 1/4)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/4) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) (pow.f64 l 1/4)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3) (pow.f64 l 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3) (pow.f64 l 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A 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 V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1) 1))))))

simplify11.0ms (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
95 → 84
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)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2)))
0.3b
(/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))
1.8b
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))
10.4b
(sqrt.f64 (/.f64 V A))
Compiler

Compiled 50 to 24 computations (52% saved)

series19.0ms (0.1%)

Counts
4 → 12
Calls

36 calls:

TimeVariablePointExpression
2.0ms
l
@0
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))
1.0ms
V
@0
(sqrt.f64 (/.f64 V A))
1.0ms
V
@-inf
(sqrt.f64 (/.f64 V A))
1.0ms
l
@-inf
(/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))
1.0ms
A
@-inf
(sqrt.f64 (/.f64 V A))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
680×log-prod_binary64
340×pow2_binary64
264×pow-unpow_binary64
238×pow1/3_binary64
233×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
128039
2362538
Stop Event
node limit
Counts
4 → 161
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 V A))
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))
(/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))
(/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2)))
Outputs
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(/.f64 (cbrt.f64 (pow.f64 l -1)) (cbrt.f64 (/.f64 V A))) (/.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 V A) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 l -1/4) (cbrt.f64 (/.f64 V A))) (/.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 V A) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V A) -1/4) (/.f64 (pow.f64 l -1/2) (pow.f64 (/.f64 V A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 l -1)) (pow.f64 (/.f64 V A) 1/4)) (/.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 V A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 V A) 1/4)) (/.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 V A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 V A) l))) (cbrt.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 l -1/2) (sqrt.f64 V)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 V A)))) (neg.f64 (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A V)) 1) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 (pow.f64 l -1))) (pow.f64 l -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/4)) (pow.f64 l -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A V) (pow.f64 l -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 l -3/2) (pow.f64 (/.f64 V A) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 l -1/4) (pow.f64 (/.f64 V A) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A V) (pow.f64 l -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l -3/2) (pow.f64 (/.f64 V A) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) 1))))))

simplify21.0ms (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
173 → 162
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)

eval304.0ms (1.6%)

Compiler

Compiled 10613 to 4086 computations (61.5% saved)

prune901.0ms (4.8%)

Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New7559764
Fresh81220
Picked011
Done178
Total76429793
Error
0.2b
Counts
793 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
34.6b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
19.8b
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
53.0b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
23.9b
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
21.1b
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
51.6b
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)) (sqrt.f64 l))
51.4b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
47.6b
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
19.2b
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
49.7b
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
30.0b
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l))
34.6b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
20.8b
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
20.2b
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
19.5b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
41.0b
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
39.8b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
25.2b
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
19.8b
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
20.2b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
24.0b
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))
19.6b
(*.f64 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
25.2b
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
25.1b
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
20.1b
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
21.1b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
19.2b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
25.2b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
24.4b
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)) c0))
Compiler

Compiled 402 to 284 computations (29.4% saved)

regimes902.0ms (4.8%)

Counts
66 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2))
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))) c0)
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
(*.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 0 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 V A)) (pow.f64 l -1/2))))
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
(cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
(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)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (pow.f64 (cbrt.f64 (/.f64 A V)) 3/2)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))
(*.f64 c0 (*.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))
(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 (*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) 3)
Outputs
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

161.0ms
c0
141.0ms
V
100.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
93.0ms
l
87.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
16.2b5c0
5.8b2A
10.2b4V
9.4b3l
10.1b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
9.9b3(sqrt.f64 (/.f64 A (*.f64 V l)))
9.9b3(/.f64 A (*.f64 V l))
4.4b3(*.f64 V l)
4.4b3(*.f64 V l)
Compiler

Compiled 771 to 331 computations (57.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
-0.0
1.73e-322
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes894.0ms (4.8%)

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

9 calls:

151.0ms
(*.f64 V l)
136.0ms
c0
121.0ms
A
111.0ms
(*.f64 V l)
91.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
16.2b5c0
8.9b4A
11.5b3V
11.3b2l
10.8b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
4.8b5(*.f64 V l)
4.8b5(*.f64 V l)
Compiler

Compiled 666 to 290 computations (56.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
-0.0
1.73e-322
0.0ms
-4.42452408995e-312
-3.85658844e-316
0.0ms
-1.7854388768700865e+225
-3.2259973091596964e+220
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes790.0ms (4.2%)

Counts
48 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2))
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))) c0)
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2))
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

145.0ms
A
142.0ms
(*.f64 V l)
106.0ms
c0
86.0ms
V
86.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
16.2b5c0
9.0b4A
11.9b3V
11.3b2l
10.8b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
4.8b5(*.f64 V l)
4.8b5(*.f64 V l)
Compiler

Compiled 550 to 251 computations (54.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
-0.0
1.73e-322
0.0ms
-4.42452408995e-312
-3.85658844e-316
0.0ms
-2.8712662518193654e+217
-1.642639871962027e+213
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes763.0ms (4.1%)

Counts
40 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2))
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l)) c0))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

176.0ms
A
163.0ms
V
96.0ms
c0
73.0ms
(*.f64 V l)
72.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
16.2b5c0
10.2b3A
11.9b3V
11.5b2l
10.8b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
6.9b5(*.f64 V l)
6.9b5(*.f64 V l)
Compiler

Compiled 462 to 217 computations (53% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
1.73e-322
3.17615e-319
0.0ms
-4.511776057899248e-112
-1.606950178380267e-127
0.0ms
-2.8712662518193654e+217
-1.642639871962027e+213
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes637.0ms (3.4%)

Counts
38 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2))
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

130.0ms
(*.f64 V l)
101.0ms
(*.f64 V l)
92.0ms
V
83.0ms
c0
59.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
18.0b3c0
11.4b2A
14.7b4V
11.5b2l
10.9b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
8.0b5(*.f64 V l)
8.0b5(*.f64 V l)
Compiler

Compiled 440 to 206 computations (53.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
1.73e-322
3.17615e-319
0.0ms
-4.511776057899248e-112
-1.606950178380267e-127
0.0ms
-5.8110795873953965e+194
-7.789700849110146e+179
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes553.0ms (3%)

Counts
35 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

131.0ms
(*.f64 V l)
116.0ms
(*.f64 V l)
60.0ms
V
51.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
48.0ms
c0
Results
ErrorSegmentsBranch
18.0b3c0
11.4b2A
14.7b4V
11.5b2l
10.9b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
8.0b5(*.f64 V l)
8.0b5(*.f64 V l)
Compiler

Compiled 410 to 194 computations (52.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
1.73e-322
3.17615e-319
0.0ms
-1.606950178380267e-127
-1.3353016007307133e-128
0.0ms
-5.8110795873953965e+194
-7.789700849110146e+179
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes410.0ms (2.2%)

Counts
34 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

62.0ms
(*.f64 V l)
61.0ms
(*.f64 V l)
58.0ms
V
47.0ms
c0
46.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
18.0b3c0
11.4b2A
14.7b4V
11.5b2l
10.9b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
8.0b5(*.f64 V l)
8.0b5(*.f64 V l)
Compiler

Compiled 400 to 190 computations (52.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
1.73e-322
3.17615e-319
0.0ms
-1.606950178380267e-127
-1.3353016007307133e-128
0.0ms
-5.8110795873953965e+194
-7.789700849110146e+179
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes395.0ms (2.1%)

Counts
33 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

61.0ms
(*.f64 V l)
59.0ms
(*.f64 V l)
56.0ms
V
50.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
41.0ms
c0
Results
ErrorSegmentsBranch
18.0b3c0
12.6b2A
15.2b4V
11.8b2l
10.9b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
9.0b5(*.f64 V l)
9.0b5(*.f64 V l)
Compiler

Compiled 391 to 188 computations (51.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.698612618899391e+296
3.897063583693395e+302
0.0ms
1.73e-322
3.17615e-319
0.0ms
-1.606950178380267e-127
-1.3353016007307133e-128
0.0ms
-5.8110795873953965e+194
-7.789700849110146e+179
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes381.0ms (2%)

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

9 calls:

64.0ms
V
57.0ms
(*.f64 V l)
55.0ms
(*.f64 V l)
41.0ms
c0
38.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
18.0b3c0
14.5b2A
15.3b5V
13.1b2l
12.4b4(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
11.5b5(*.f64 V l)
11.5b5(*.f64 V l)
Compiler

Compiled 373 to 183 computations (50.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.142405911212529e+296
+inf
0.0ms
5.312745264754e-312
2.3099046854080135e-308
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes411.0ms (2.2%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
Calls

9 calls:

76.0ms
V
58.0ms
(*.f64 V l)
57.0ms
(*.f64 V l)
53.0ms
l
39.0ms
c0
Results
ErrorSegmentsBranch
18.0b3c0
14.8b2A
14.9b6V
13.0b4l
12.4b4(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.2b3(/.f64 A (*.f64 V l))
11.5b5(*.f64 V l)
11.5b5(*.f64 V l)
Compiler

Compiled 364 to 181 computations (50.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.142405911212529e+296
+inf
0.0ms
5.312745264754e-312
2.3099046854080135e-308
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes418.0ms (2.2%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
Outputs
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
Calls

9 calls:

92.0ms
V
53.0ms
l
51.0ms
(*.f64 V l)
50.0ms
(*.f64 V l)
43.0ms
c0
Results
ErrorSegmentsBranch
19.2b1c0
15.1b2A
14.9b6V
13.0b4l
12.6b4(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.4b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.4b3(/.f64 A (*.f64 V l))
11.7b5(*.f64 V l)
11.7b5(*.f64 V l)
Compiler

Compiled 346 to 178 computations (48.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.142405911212529e+296
+inf
0.0ms
5.312745264754e-312
2.3099046854080135e-308
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes358.0ms (1.9%)

Counts
27 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.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 V l) A) -1/2))
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))
(/.f64 c0 (sqrt.f64 (*.f64 l (*.f64 V (/.f64 1 A)))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(*.f64 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) c0)
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) 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 (sqrt.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))) c0)
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) c0))
(*.f64 c0 (/.f64 1 (/.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))
(*.f64 c0 (pow.f64 (*.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l)) 1/2))
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 1 A) (/.f64 l (/.f64 1 V))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

130.0ms
V
56.0ms
(*.f64 V l)
51.0ms
(*.f64 V l)
26.0ms
(/.f64 A (*.f64 V l))
25.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Results
ErrorSegmentsBranch
19.2b1c0
19.2b1A
15.5b6V
19.2b1l
17.5b2(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
15.2b3(/.f64 A (*.f64 V l))
15.0b5(*.f64 V l)
15.0b5(*.f64 V l)
Compiler

Compiled 337 to 174 computations (48.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.7477245512552205e+139
1.0576068229226286e+148
0.0ms
-0.0
1.73e-322
0.0ms
-8.896065868661179e-132
-2.3875932881857178e-141
0.0ms
-1.6859770204549527e+300
-1.637056096232394e+300
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes179.0ms (1%)

Counts
7 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
Calls

9 calls:

45.0ms
(*.f64 V l)
36.0ms
A
29.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
22.0ms
(*.f64 V l)
14.0ms
V
Results
ErrorSegmentsBranch
19.2b1c0
19.2b1A
17.6b3V
19.2b1l
17.5b2(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
15.2b3(sqrt.f64 (/.f64 A (*.f64 V l)))
15.2b3(/.f64 A (*.f64 V l))
15.0b5(*.f64 V l)
15.0b5(*.f64 V l)
Compiler

Compiled 126 to 77 computations (38.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5507160319132018e+55
2.2647215600238615e+56
0.0ms
7.125792326527925e-192
9.178935483813485e-186
0.0ms
-8.896065868661179e-132
-2.3875932881857178e-141
0.0ms
-3.1599273459695984e+225
-1.7854388768700865e+225
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes180.0ms (1%)

Accuracy

Total -7.2b remaining (-38.4%)

Threshold costs -7.2b (-38.4%)

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

4 calls:

166.0ms
V
6.0ms
c0
4.0ms
A
3.0ms
l
Results
ErrorSegmentsBranch
18.7b2c0
19.8b1A
18.7b3V
19.8b1l
Compiler

Compiled 40 to 28 computations (30% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
2.0968615991431445e-140
4.431855823101526e-132
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify61.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01421241
11731241
21831241
31901241
41921241
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 V l) 0) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))
(if (<=.f64 (*.f64 V l) -999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 0) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 V l) -4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 V l) -2438866054934369/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 V l) -2438866054934369/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (*.f64 V l) -2438866054934369/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) (if (<=.f64 (/.f64 A (*.f64 V l)) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (/.f64 A (*.f64 V l)) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (/.f64 A (*.f64 V l)) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))))
(if (<=.f64 (*.f64 V l) -1649999999999999937931163573308987130556123343838406592485139124655028150104512591453447052842301621155280882708623340012082784319047405404355382550407495742616780771289387497870335841015412954329317789407928132885464268179152886845348306337799226300345882966687285489478380309214732755951473129422848) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (*.f64 V l) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (if (<=.f64 (*.f64 V l) 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -1999999999999999856908446897273053991218829224892973825072790086090102342996835156604833180614213868754704018847177272268508969245882922355676436081259722717230056104357172387216661060317013292261774097833310920647333375901696) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (if (<=.f64 (*.f64 V l) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 802633041618099/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (if (<=.f64 (*.f64 V l) 20000000000000000204701340408171022992608776270649491456) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 c0 4498290812317371/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Outputs
(if (<=.f64 (*.f64 V l) 0) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))
(if (<=.f64 (*.f64 V l) 0) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))
(if (<=.f64 (*.f64 V l) -999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))
(if (<=.f64 (*.f64 V l) -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 0) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l (neg.f64 V))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 0) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))
(if (<=.f64 (*.f64 V l) -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))
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(if (<=.f64 (*.f64 V l) -1999999999999999856908446897273053991218829224892973825072790086090102342996835156604833180614213868754704018847177272268508969245882922355676436081259722717230056104357172387216661060317013292261774097833310920647333375901696) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (if (<=.f64 (*.f64 V l) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 802633041618099/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (if (<=.f64 (*.f64 V l) 20000000000000000204701340408171022992608776270649491456) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))
(if (<=.f64 (*.f64 V l) -1999999999999999856908446897273053991218829224892973825072790086090102342996835156604833180614213868754704018847177272268508969245882922355676436081259722717230056104357172387216661060317013292261774097833310920647333375901696) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (if (<=.f64 (*.f64 V l) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 802633041618099/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) (if (<=.f64 (*.f64 V l) 20000000000000000204701340408171022992608776270649491456) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))
(if (<=.f64 c0 4498290812317371/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))
(if (<=.f64 c0 4498290812317371/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
Compiler

Compiled 877 to 454 computations (48.2% saved)

soundness10.0ms (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
Compiler

Compiled 24 to 16 computations (33.3% saved)

end299.0ms (1.6%)

Compiler

Compiled 911 to 285 computations (68.7% saved)

Profiling

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