Details

Time bar (total: 11.5s)

analyze344.0ms (3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
6.2%92%1.8%9
8.2%90.1%1.8%10
13.3%84.2%2.5%11
16.2%74.7%9.2%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (20.3%)

Results
1.2s8256×body256valid
1.1s8467×body256invalid

preprocess18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03284
15684
26484
044
144
Stop Event
1×unsound
1×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)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21512
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
16.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶16.8b
(*.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 6 expressions with local error:

NewErrorProgram
13.2b
(sqrt.f64 (/.f64 A (*.f64 V l)))
4.6b
(/.f64 A (*.f64 V l))
0.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
✓0.9b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
✓4.6b
(/.f64 A (*.f64 V l))
✓13.2b
(sqrt.f64 (/.f64 A (*.f64 V l)))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series27.0ms (0.2%)

Counts
3 → 12
Calls

30 calls:

TimeVariablePointExpression
3.0ms
c0
@inf
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
1.0ms
A
@0
(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms
V
@-inf
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
1.0ms
A
@inf
(/.f64 A (*.f64 V l))
1.0ms
c0
@0
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

rewrite59.0ms (0.5%)

Algorithm
1×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
2245528
Stop Event
1×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 exp.f64 (log.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 -.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 exp.f64 (log.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 -.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 exp.f64 (log.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)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×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)

eval18.0ms (0.2%)

Compiler

Compiled 1148 to 426 computations (62.9% saved)

prune29.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New761591
Fresh000
Picked011
Done000
Total761692
Error
3.8b
Counts
92 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
17.5b
(*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l))))))
18.0b
(*.f64 c0 (*.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
56.2b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
▶17.7b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
18.4b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
▶18.0b
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
38.5b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
▶35.8b
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
▶18.2b
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
✓16.8b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
▶17.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
29.2b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
35.1b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
17.8b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
17.7b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
35.1b
(*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l)))))
Compiler

Compiled 456 to 318 computations (30.3% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
13.2b
(sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))
4.9b
(*.f64 (/.f64 1 (*.f64 V l)) A)
0.9b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
0.4b
(/.f64 1 (*.f64 V l))
✓0.4b
(/.f64 1 (*.f64 V l))
✓0.9b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
✓4.9b
(*.f64 (/.f64 1 (*.f64 V l)) A)
✓13.2b
(sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))
Compiler

Compiled 42 to 20 computations (52.4% saved)

series16.0ms (0.1%)

Counts
4 → 48
Calls

36 calls:

TimeVariablePointExpression
2.0ms
A
@inf
(*.f64 (/.f64 1 (*.f64 V l)) A)
1.0ms
V
@-inf
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
1.0ms
l
@0
(/.f64 1 (*.f64 V l))
0.0ms
V
@inf
(*.f64 (/.f64 1 (*.f64 V l)) A)
0.0ms
l
@-inf
(sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))

rewrite74.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
549×log-prod_binary64
474×prod-exp_binary64
408×exp-prod_binary64
368×pow-prod-down_binary64
268×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
121935
2266435
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))
(*.f64 (/.f64 1 (*.f64 V l)) A)
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(/.f64 1 (*.f64 V l))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 V l) A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 A) 2) (/.f64 (*.f64 V l) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (/.f64 (*.f64 V l) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (sqrt.f64 (*.f64 V l))) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A 1) (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 A) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 V) A) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A -1) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (/.f64 1 V)) l)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A 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egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 V l)) -1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 A) (*.f64 (log.f64 (*.f64 V l)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (*.f64 (log.f64 (*.f64 V l)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 A) (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (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)))) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (log.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (log.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(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 +.f64 0 (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 V) 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 (/.f64 1 V) l)))))) (#(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 -1 (/.f64 1 (*.f64 V (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) -2) (cbrt.f64 (/.f64 (/.f64 1 V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 V) l) 1)))) (#(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 (cbrt.f64 (*.f64 V l)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 V) l)) 3)))) (#(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) -1/2) 2)))) (#(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 (/.f64 1 V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 V) 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 (/.f64 1 V) 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 (neg.f64 (*.f64 (log.f64 (*.f64 V l)) 1)))))) (#(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 -1/2 (log.f64 (*.f64 V l))) 2))))) (#(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 (neg.f64 (log.f64 V)) (*.f64 (log.f64 l) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 V) l)))))))

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
Stop Event
1×saturated
Counts
234 → 187
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)

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.2b
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
5.6b
(/.f64 (/.f64 A V) l)
0.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
✓0.9b
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
✓5.6b
(/.f64 (/.f64 A V) l)
✓13.2b
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series14.0ms (0.1%)

Counts
3 → 48
Calls

30 calls:

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

rewrite58.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
121728
2284428
Stop Event
1×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 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 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 (sqrt.f64 (/.f64 A V)) (pow.f64 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 1 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(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 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (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 (/.f64 A (*.f64 V 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 A (*.f64 V l))) 1/4) 2))))) (#(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 +.f64 0 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2) (cbrt.f64 (/.f64 A (*.f64 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 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/4) (pow.f64 (/.f64 A (*.f64 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 (pow.f64 (cbrt.f64 A) 2) 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 (pow.f64 (cbrt.f64 l) 2)) (/.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) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 (cbrt.f64 l) 2)) (/.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 A (*.f64 V l)) 5/6) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 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 (/.f64 l A) V) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 V l)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 V l))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 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 A (*.f64 V l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l))))))))
((#(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 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (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 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 (*.f64 3 (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))) 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
Stop Event
1×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)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
14.0b
(sqrt.f64 (/.f64 l (/.f64 A V)))
5.6b
(/.f64 l (/.f64 A V))
0.9b
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
0.6b
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
✓0.6b
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
✓0.9b
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
✓5.6b
(/.f64 l (/.f64 A V))
✓14.0b
(sqrt.f64 (/.f64 l (/.f64 A V)))
Compiler

Compiled 41 to 13 computations (68.3% saved)

series28.0ms (0.2%)

Counts
4 → 48
Calls

39 calls:

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

rewrite90.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
123337
2314837
Stop Event
1×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 log1p.f64 (expm1.f64 (*.f64 V (/.f64 l A))))))))
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((#(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 (/.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 *.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))))) (#(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 A (*.f64 l V)) -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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))

simplify36.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×associate-/r*_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010396
116396
220396
323396
424396
Stop Event
1×saturated
Counts
227 → 183
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 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(*.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)

localize23.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
7.6b
(sqrt.f64 (*.f64 V l))
0.8b
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
0.1b
(*.f64 c0 (sqrt.f64 A))
✓0.1b
(*.f64 c0 (sqrt.f64 A))
✓0.8b
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
✓7.6b
(sqrt.f64 (*.f64 V l))
Compiler

Compiled 30 to 9 computations (70% saved)

series23.0ms (0.2%)

Counts
3 → 24
Calls

24 calls:

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

rewrite97.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
120424
2267824
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 V l))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
(*.f64 c0 (sqrt.f64 A))
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 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 log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 V l))))))))
((#(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 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))) (#(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 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 c0 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 A))) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) (cbrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (*.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (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) (*.f64 c0 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) 1) (/.f64 c0 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) 1) (/.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) 1) (/.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (cbrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 (*.f64 V l))) (/.f64 c0 (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V l))) (/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (cbrt.f64 (*.f64 V l))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (cbrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (pow.f64 (*.f64 V l) 1/4)) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/4)) (/.f64 c0 (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (pow.f64 (*.f64 V l) 1/4)) (/.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 A))) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (sqrt.f64 V)) (/.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 V)) (/.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 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 A (*.f64 c0 c0)) (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) -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 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) -1)))) (#(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 (pow.f64 (*.f64 c0 (sqrt.f64 A)) 3) (pow.f64 (*.f64 V l) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) 1) -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 neg.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(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 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c0 (sqrt.f64 A)) 3) (pow.f64 (*.f64 V l) 3/2)))))) (#(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 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 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) -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 (log.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)) -1))))) (#(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 log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 A (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 A)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 A)))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 A))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 A (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 A)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 A))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 A)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 A)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 A)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 A))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 A))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011216
116216
218216
Stop Event
1×saturated
Counts
148 → 127
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)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) c0)
(*.f64 (sqrt.f64 A) 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)
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
13.2b
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3))
5.6b
(/.f64 (/.f64 A V) l)
0.9b
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
0.5b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)
✓0.9b
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
5.6b
(/.f64 (/.f64 A V) l)
✓13.2b
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3))
✓15.1b
(cbrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 51 to 17 computations (66.7% saved)

series17.0ms (0.1%)

Counts
3 → 12
Calls

30 calls:

TimeVariablePointExpression
3.0ms
A
@-inf
(cbrt.f64 (/.f64 (/.f64 A V) l))
1.0ms
A
@0
(cbrt.f64 (/.f64 (/.f64 A V) l))
1.0ms
A
@-inf
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3))
1.0ms
V
@-inf
(cbrt.f64 (/.f64 (/.f64 A V) l))
1.0ms
l
@-inf
(cbrt.f64 (/.f64 (/.f64 A V) l))

rewrite58.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
598×log-prod_binary64
407×pow-prod-down_binary64
296×pow2_binary64
211×pow-unpow_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
125930
2313430
Stop Event
1×node limit
Counts
3 → 99
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (/.f64 A V) l))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3))
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A V)) (/.f64 1 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 l) (cbrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (neg.f64 A) V)) (cbrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (/.f64 A V))) (neg.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (/.f64 V A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 l) (cbrt.f64 (/.f64 A V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 A (*.f64 V l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))))))))
((#(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 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(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)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(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 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(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 pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 9/2)))) (#(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 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(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 +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 3 (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))) 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 log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×saturated
Counts
111 → 100
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)

eval179.0ms (1.6%)

Compiler

Compiled 10709 to 4124 computations (61.5% saved)

prune151.0ms (1.3%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New76517782
Fresh8210
Picked101
Done235
Total77622798
Error
1.6b
Counts
798 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
47.2b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
52.2b
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
17.8b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
29.2b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
35.8b
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (pow.f64 (*.f64 V l) 1/4) 2))
▶35.1b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
▶28.3b
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
29.2b
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
17.5b
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
17.8b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
56.2b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))
✓16.8b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
✓17.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
18.3b
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
36.6b
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
47.9b
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
51.5b
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))
38.5b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
▶16.7b
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
✓35.8b
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))
▶46.9b
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
▶17.7b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
Compiler

Compiled 563 to 395 computations (29.8% saved)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
14.0b
(sqrt.f64 (/.f64 (*.f64 V l) A))
4.1b
(/.f64 (*.f64 V l) A)
0.8b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓0.8b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓4.1b
(/.f64 (*.f64 V l) A)
✓14.0b
(sqrt.f64 (/.f64 (*.f64 V l) A))
Compiler

Compiled 41 to 11 computations (73.2% saved)

series12.0ms (0.1%)

Counts
3 → 12
Calls

30 calls:

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

rewrite65.0ms (0.6%)

Algorithm
1×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
2266428
Stop Event
1×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 +.f64 0 (*.f64 (/.f64 V A) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 V A)) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 V A)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 V A)) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 V A)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 V A) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (/.f64 1 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (*.f64 l (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 V (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V l) (/.f64 1 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 V A) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) (sqrt.f64 (*.f64 (/.f64 V A) l)))))) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A l) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 V l) 3) (pow.f64 A 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 A l) V) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 V A) l))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 V A) l)))) (sqrt.f64 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 V l)) 1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 V A) l)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 V A) l))) (/.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (*.f64 (/.f64 V A) l))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (*.f64 (/.f64 V A) l))) (/.f64 (sqrt.f64 c0) (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) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 (/.f64 A l) V) -1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A l) V) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) 1) -1)))) (#(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 (/.f64 V 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 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 (/.f64 V 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 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))))

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×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)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.2b
(sqrt.f64 (/.f64 (/.f64 A V) l))
5.6b
(/.f64 (/.f64 A V) l)
0.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
✓0.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
5.6b
(/.f64 (/.f64 A V) l)
✓13.2b
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series9.0ms (0.1%)

Counts
2 → 12
Calls

21 calls:

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

rewrite50.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119121
2264721
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (/.f64 A V) l))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
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 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))))) (#(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 /.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1/2)))) (#(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 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))) -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 fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 3 (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))) 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×saturated
Counts
84 → 73
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 6 expressions with local error:

NewErrorProgram
21.8b
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
13.3b
(*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V)))
4.6b
(/.f64 A (*.f64 l V))
✓4.6b
(/.f64 A (*.f64 l V))
✓13.3b
(*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V)))
✓21.8b
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series16.0ms (0.1%)

Counts
3 → 96
Calls

33 calls:

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

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
590×log-prod_binary64
426×exp-prod_binary64
411×pow-prod-down_binary64
272×pow2_binary64
250×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01035
120932
2281532
Stop Event
1×node limit
Counts
3 → 138
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V)))
(/.f64 A (*.f64 l V))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) (cbrt.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 c0 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (*.f64 c0 (/.f64 A (*.f64 l V))))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))))
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simplify100.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0151028
1351028
2861028
32201028
47191028
530191028
633241028
742211028
848011028
967831028
1075701028
Stop Event
1×node limit
Counts
234 → 146
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
Outputs
(*.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 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) (neg.f64 c0))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) (neg.f64 c0))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l))
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l))
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))
(*.f64 (/.f64 c0 V) (/.f64 (*.f64 A c0) l))
(/.f64 A (*.f64 l (/.f64 (/.f64 V c0) c0)))
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
7.6b
(sqrt.f64 (*.f64 V l))
0.8b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
0.1b
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
✓0.1b
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
✓0.8b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
7.6b
(sqrt.f64 (*.f64 V l))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series9.0ms (0.1%)

Counts
2 → 12
Calls

21 calls:

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

rewrite60.0ms (0.5%)

Algorithm
1×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
01021
120621
2267721
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(*.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 (/.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 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 exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 c0 (sqrt.f64 A))) (*.f64 (log.f64 (*.f64 V l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 c0 (sqrt.f64 A))) (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1)))))) (#(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 +.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 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(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 (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 (/.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 (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 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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1/2) (log.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 A)) 1) (log.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 A)) (*.f64 (log.f64 (*.f64 V l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1/2) (*.f64 (log.f64 (*.f64 V l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 A)) 1) (*.f64 (log.f64 (*.f64 V l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 A)) (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1/2) (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 A)) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))

simplify19.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×saturated
Counts
109 → 98
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)

localize30.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
9.1b
(sqrt.f64 (/.f64 V A))
0.5b
(/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
0.3b
(*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))
0.1b
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
✓0.1b
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
✓0.3b
(*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))
✓0.5b
(/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
✓9.1b
(sqrt.f64 (/.f64 V A))
Compiler

Compiled 45 to 14 computations (68.9% saved)

series27.0ms (0.2%)

Counts
4 → 12
Calls

36 calls:

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

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
619×log-prod_binary64
433×pow-prod-down_binary64
299×pow2_binary64
236×pow-unpow_binary64
213×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
124837
2315637
Stop Event
1×node limit
Counts
4 → 147
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 V A))
(/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))) 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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/6) (cbrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.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 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (pow.f64 (/.f64 V A) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V A) -1/2) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 V A) l))) (pow.f64 (*.f64 (/.f64 V A) l) -1/6))))) (#(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 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 (*.f64 (/.f64 V A) l) -1/2)))) (#(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 (/.f64 1 (*.f64 (/.f64 V A) l)) 1/2)))) (#(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) 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 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))))))) (#(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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))))) (#(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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) -1/2))))) (#(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) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)))))))
((#(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 V A)) (pow.f64 l -1/2))))) (#(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 (sqrt.f64 l) (pow.f64 (/.f64 V A) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 1)))) (#(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 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -1)))) (#(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 (*.f64 l V) 1/2) (sqrt.f64 A))))) (#(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 (*.f64 (/.f64 V A) l) 1/2)))) (#(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 (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 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 expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) 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 (/.f64 V A) l)) 1/2))))) (#(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) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))))
((#(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 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c0) 2) (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) (cbrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) (sqrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (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 (/.f64 c0 1) (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (cbrt.f64 (*.f64 (/.f64 V A) l))) (pow.f64 (*.f64 (/.f64 V A) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c0) (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 l -1/2) c0) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 -1) (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule 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 (/.f64 (*.f64 c0 c0) (*.f64 (/.f64 V A) l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) 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 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))) 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 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 (/.f64 V A) l)))))) (#(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 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) 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 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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))))

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×saturated
Counts
159 → 148
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)

eval214.0ms (1.9%)

Compiler

Compiled 10147 to 3810 computations (62.5% saved)

prune140.0ms (1.2%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New72414738
Fresh8614
Picked101
Done257
Total73525760
Error
1.0b
Counts
760 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
51.8b
(*.f64 1 (/.f64 c0 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l)))))
47.2b
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
29.2b
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
47.2b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
▶38.5b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
17.8b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
17.5b
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
✓16.8b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
17.7b
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
✓17.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
✓46.9b
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
▶17.6b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
18.3b
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
36.6b
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
56.2b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
29.9b
(/.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
38.6b
(*.f64 1 (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))))
51.5b
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))
34.5b
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 V)) (sqrt.f64 (neg.f64 A))))))
▶16.7b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
▶29.2b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓35.1b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
29.9b
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
▶17.8b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
✓17.7b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
Compiler

Compiled 619 to 436 computations (29.6% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
14.0b
(sqrt.f64 (/.f64 (*.f64 V l) A))
4.1b
(/.f64 (*.f64 V l) A)
0.8b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
0.8b
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
4.1b
(/.f64 (*.f64 V l) A)
14.0b
(sqrt.f64 (/.f64 (*.f64 V l) A))
Compiler

Compiled 30 to 8 computations (73.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.2b
(sqrt.f64 (/.f64 (/.f64 A l) V))
5.3b
(/.f64 (/.f64 A l) V)
0.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
✓0.9b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
✓5.3b
(/.f64 (/.f64 A l) V)
✓13.2b
(sqrt.f64 (/.f64 (/.f64 A l) V))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series12.0ms (0.1%)

Counts
3 → 48
Calls

30 calls:

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

rewrite62.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119128
2264728
Stop Event
1×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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.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 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (neg.f64 (sqrt.f64 V)))))) (#(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 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 l V))))))) (#(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 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (/.f64 A (*.f64 l V))) 1/2))))) (#(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 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 l V)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 1))))) (#(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 +.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 (cbrt.f64 (/.f64 A (*.f64 l V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 2) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (*.f64 (cbrt.f64 (/.f64 A l)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 A) l) (/.f64 1 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (/.f64 A l) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(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 A 1) (/.f64 (pow.f64 l -1) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) 1) (/.f64 (cbrt.f64 (/.f64 A l)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A l)) 1) (/.f64 (sqrt.f64 (/.f64 A l)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (pow.f64 (cbrt.f64 V) 2)) (/.f64 (pow.f64 l -1) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 V) -2) (/.f64 (/.f64 A l) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 (cbrt.f64 V) 2)) (/.f64 (sqrt.f64 (/.f64 A l)) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 V)) (/.f64 (pow.f64 l -1) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (sqrt.f64 V)) (/.f64 (cbrt.f64 (/.f64 A l)) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 5/6) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 6)))) (#(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 l A) -3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V (/.f64 l A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 l A) -3) (pow.f64 V 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 l V)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (log.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (log.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 A l)) (*.f64 (log.f64 V) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (*.f64 (log.f64 V) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 l V))))))))
((#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))))

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
Stop Event
1×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)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
14.0b
(sqrt.f64 (*.f64 (/.f64 V A) l))
5.1b
(*.f64 (/.f64 V A) l)
0.7b
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
0.4b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
✓0.4b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
✓0.7b
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
✓5.1b
(*.f64 (/.f64 V A) l)
✓14.0b
(sqrt.f64 (*.f64 (/.f64 V A) l))
Compiler

Compiled 41 to 11 computations (73.2% saved)

series28.0ms (0.2%)

Counts
4 → 60
Calls

42 calls:

TimeVariablePointExpression
7.0ms
A
@0
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
2.0ms
c0
@-inf
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
1.0ms
V
@-inf
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
1.0ms
V
@0
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
1.0ms
c0
@0
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
616×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
01143
123240
2309540
Stop Event
1×node limit
Counts
4 → 171
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 V A) l))
(*.f64 (/.f64 V A) l)
(/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0)
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
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 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) 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 (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) 1/4) 2)))) (#(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 expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1/2))))) (#(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 (*.f64 3/2 (log.f64 (*.f64 (/.f64 V A) l))) 1/3))))) (#(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 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))))
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(/.f64 V A) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 (/.f64 V A))) (/.f64 (cbrt.f64 c0) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 V A))) (/.f64 (sqrt.f64 c0) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) (neg.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) 1) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) (pow.f64 (cbrt.f64 c0) 2)) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) (sqrt.f64 c0)) (sqrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0) -1)))) (#(struct:change #<rule 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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))))))

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
6×associate-/l*_binary64
4×associate-/r*_binary64
4×associate-/r/_binary64
3×*-rgt-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014576
125540
234540
346540
449540
552540
659540
759540
Stop Event
1×saturated
Counts
231 → 176
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 (*.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 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(/.f64 (*.f64 V l) A)
(/.f64 l (/.f64 A V))
(*.f64 (/.f64 l A) V)
(*.f64 V (/.f64 l A))
(*.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) (/.f64 1 c0))
(/.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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 l (/.f64 A V))) c0)
(/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 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))))

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.1b
(sqrt.f64 (/.f64 A V))
0.2b
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
0.1b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓0.1b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓0.2b
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
✓13.1b
(sqrt.f64 (/.f64 A V))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series14.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

TimeVariablePointExpression
3.0ms
A
@0
(sqrt.f64 (/.f64 A V))
1.0ms
A
@-inf
(sqrt.f64 (/.f64 A V))
1.0ms
V
@-inf
(sqrt.f64 (/.f64 A V))
1.0ms
V
@0
(sqrt.f64 (/.f64 A V))
1.0ms
A
@inf
(sqrt.f64 (/.f64 A V))

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
575×log-prod_binary64
419×exp-prod_binary64
379×pow-prod-down_binary64
275×pow2_binary64
210×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
121227
2287227
Stop Event
1×node limit
Counts
3 → 127
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 A V))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
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 A V) 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 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 log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A V))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A V)) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 1/4) (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 1 (neg.f64 (sqrt.f64 l))))))) (#(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 (cbrt.f64 (/.f64 A V)) 1) (/.f64 (pow.f64 (/.f64 A V) 1/6) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A V) 1/4) 1) (/.f64 (pow.f64 (/.f64 A V) 1/4) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A V) 1/4) (cbrt.f64 l)) (/.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/4) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (pow.f64 l 1/4)) (/.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l (/.f64 A V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(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 (sqrt.f64 (/.f64 l (/.f64 A V))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l 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 exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 1))))) (#(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 +.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 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))))) (#(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 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 1) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (cbrt.f64 l)) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/4)) (pow.f64 l 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) c0) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A V)))) (neg.f64 (sqrt.f64 l)))))) (#(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 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) -1)))) (#(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 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))) (#(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 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 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3)) 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
215144
Stop Event
1×saturated
Counts
139 → 128
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)

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
8.5b
(sqrt.f64 (*.f64 l (neg.f64 V)))
0.2b
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
0.1b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
✓0.1b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
✓0.2b
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
✓8.5b
(sqrt.f64 (*.f64 l (neg.f64 V)))
Compiler

Compiled 44 to 11 computations (75% saved)

series12.0ms (0.1%)

Counts
3 → 12
Calls

27 calls:

TimeVariablePointExpression
1.0ms
l
@0
(sqrt.f64 (*.f64 l (neg.f64 V)))
1.0ms
V
@inf
(sqrt.f64 (*.f64 l (neg.f64 V)))
1.0ms
l
@inf
(sqrt.f64 (*.f64 l (neg.f64 V)))
1.0ms
V
@0
(sqrt.f64 (*.f64 l (neg.f64 V)))
1.0ms
V
@-inf
(sqrt.f64 (*.f64 l (neg.f64 V)))

rewrite60.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
125227
2342327
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 l (neg.f64 V)))
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l V)) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/6) (cbrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/4) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 l V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 l V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l V))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 A) (*.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 A)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) 1) (/.f64 (pow.f64 A 1/6) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) 1) (/.f64 (pow.f64 A 1/4) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (cbrt.f64 (*.f64 l V))) (/.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/4) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (pow.f64 (*.f64 l V) 1/4)) (/.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 l V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 l V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) -1))))) (#(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 +.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 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) 1) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (cbrt.f64 (*.f64 l V))) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) 1/4)) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))) 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 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))))

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval142.0ms (1.2%)

Compiler

Compiled 9648 to 3411 computations (64.6% saved)

prune129.0ms (1.1%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New7179726
Fresh8715
Picked011
Done189
Total72625751
Error
0.7b
Counts
751 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
18.2b
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
47.2b
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
17.5b
(*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
29.2b
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
47.2b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
✓38.5b
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
34.5b
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l)))
56.2b
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))
29.9b
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
✓16.8b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
✓17.1b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
✓46.9b
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
22.2b
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
✓17.6b
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
18.3b
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
17.8b
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
51.8b
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
✓29.2b
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓35.1b
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
35.1b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
38.6b
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
✓17.8b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
✓17.7b
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
29.9b
(/.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
51.5b
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))
Compiler

Compiled 339 to 237 computations (30.1% saved)

regimes806.0ms (7%)

Counts
56 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (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 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.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 c0 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
(*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l)))))
(*.f64 1 (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))))
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (pow.f64 (*.f64 V l) 1/4) 2))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (neg.f64 V)) (sqrt.f64 (neg.f64 A))))))
(*.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 A (*.f64 l V)))))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l))))))
Outputs
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

11 calls:

101.0ms
c0
91.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
85.0ms
l
81.0ms
V
80.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
13.4b4c0
5.6b2A
8.7b3V
9.1b3l
9.0b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
8.7b3(sqrt.f64 (/.f64 A (*.f64 V l)))
8.7b3(sqrt.f64 (/.f64 A (*.f64 V l)))
8.7b3(/.f64 A (*.f64 V l))
8.7b3(/.f64 A (*.f64 V l))
4.4b3(*.f64 V l)
4.4b3(*.f64 V l)
Compiler

Compiled 652 to 260 computations (60.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.5356762702390156e-306
1.8754578636931165e-295
0.0ms
-2.025086639884248e-288
-3.41423958233997e-294
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes635.0ms (5.5%)

Counts
47 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (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 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.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 c0 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
(*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l)))))
(*.f64 1 (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))))
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
(*.f64 c0 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))
Outputs
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

9 calls:

122.0ms
c0
101.0ms
A
74.0ms
(*.f64 V l)
72.0ms
(*.f64 V l)
71.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
13.4b4c0
6.9b4A
9.7b2V
10.4b2l
9.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
8.7b3(sqrt.f64 (/.f64 A (*.f64 V l)))
8.7b3(/.f64 A (*.f64 V l))
4.4b4(*.f64 V l)
4.4b4(*.f64 V l)
Compiler

Compiled 523 to 214 computations (59.1% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.5356762702390156e-306
1.8754578636931165e-295
0.0ms
-3.41423958233997e-294
-3.474924626793e-312
0.0ms
-inf
-1.2791713723379606e+307
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes635.0ms (5.5%)

Counts
41 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (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 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.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 c0 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
Outputs
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

9 calls:

113.0ms
(*.f64 V l)
104.0ms
(*.f64 V l)
101.0ms
c0
74.0ms
A
64.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Results
ErrorSegmentsBranch
13.4b4c0
6.9b4A
10.0b2V
10.4b2l
9.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
8.7b3(sqrt.f64 (/.f64 A (*.f64 V l)))
8.7b3(/.f64 A (*.f64 V l))
4.4b4(*.f64 V l)
4.4b4(*.f64 V l)
Compiler

Compiled 456 to 194 computations (57.5% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.5356762702390156e-306
1.8754578636931165e-295
0.0ms
-3.41423958233997e-294
-3.474924626793e-312
0.0ms
-inf
-1.2791713723379606e+307
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes768.0ms (6.7%)

Counts
35 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (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 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0)
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

9 calls:

113.0ms
A
112.0ms
c0
97.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
95.0ms
(*.f64 V l)
95.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
13.4b4c0
9.6b3A
10.0b2V
11.3b2l
9.2b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
8.7b3(sqrt.f64 (/.f64 A (*.f64 V l)))
8.7b3(/.f64 A (*.f64 V l))
6.8b4(*.f64 V l)
6.8b4(*.f64 V l)
Compiler

Compiled 390 to 169 computations (56.7% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.5356762702390156e-306
1.8754578636931165e-295
0.0ms
-4.638084907789045e-177
-1.687377884507756e-177
0.0ms
-1.1234432911344017e+171
-1.0480162372516493e+171
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes566.0ms (4.9%)

Counts
34 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
(*.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (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 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
Outputs
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))
Calls

9 calls:

94.0ms
(*.f64 V l)
94.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
93.0ms
(*.f64 V l)
59.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
58.0ms
(/.f64 A (*.f64 V l))
Results
ErrorSegmentsBranch
14.7b3c0
10.8b2A
13.4b3V
12.4b2l
11.7b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.1b3(/.f64 A (*.f64 V l))
8.7b4(*.f64 V l)
8.7b4(*.f64 V l)
Compiler

Compiled 379 to 162 computations (57.3% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0
5.753e-320
0.0ms
-1.7009607566685734e-162
-4.557771608573485e-164
0.0ms
-1.4476615229744222e+294
-1.5760332597526002e+281
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes306.0ms (2.7%)

Counts
27 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
Outputs
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
Calls

9 calls:

41.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
39.0ms
(*.f64 V l)
39.0ms
c0
39.0ms
(*.f64 V l)
37.0ms
V
Results
ErrorSegmentsBranch
14.7b3c0
10.8b2A
13.4b3V
12.4b2l
11.7b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.1b3(/.f64 A (*.f64 V l))
8.7b4(*.f64 V l)
8.7b4(*.f64 V l)
Compiler

Compiled 314 to 148 computations (52.9% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0
5.753e-320
0.0ms
-1.7009607566685734e-162
-4.557771608573485e-164
0.0ms
-1.4476615229744222e+294
-1.5760332597526002e+281
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes336.0ms (2.9%)

Counts
25 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.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 (*.f64 V l) A)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
Calls

9 calls:

46.0ms
l
44.0ms
A
40.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
39.0ms
(*.f64 V l)
39.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
15.0b3c0
10.8b2A
13.4b3V
11.2b4l
11.7b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
11.1b3(sqrt.f64 (/.f64 A (*.f64 V l)))
11.1b3(/.f64 A (*.f64 V l))
9.0b4(*.f64 V l)
9.0b4(*.f64 V l)
Compiler

Compiled 296 to 143 computations (51.7% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0
5.753e-320
0.0ms
-1.7009607566685734e-162
-4.557771608573485e-164
0.0ms
-1.4476615229744222e+294
-1.5760332597526002e+281
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes456.0ms (4%)

Counts
24 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
Outputs
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
Calls

9 calls:

103.0ms
l
75.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
53.0ms
V
43.0ms
(*.f64 V l)
41.0ms
A
Results
ErrorSegmentsBranch
15.5b3c0
13.5b2A
13.4b3V
14.0b4l
11.8b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
12.5b3(sqrt.f64 (/.f64 A (*.f64 V l)))
12.5b3(/.f64 A (*.f64 V l))
9.8b4(*.f64 V l)
9.8b4(*.f64 V l)
Compiler

Compiled 287 to 139 computations (51.6% saved)

bsearch25.0ms (0.2%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.753e-320
1.5356762702390156e-306
0.0ms
-1.161757531867318e-222
-3.380689639956711e-226
0.0ms
-1.3853247354750772e+214
-3.197585811960173e+212
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes482.0ms (4.2%)

Counts
23 → 5
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
Calls

9 calls:

141.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
70.0ms
l
53.0ms
(*.f64 V l)
42.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
36.0ms
(*.f64 V l)
Results
ErrorSegmentsBranch
15.5b3c0
15.2b3A
13.4b3V
15.3b3l
11.8b5(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
12.5b3(sqrt.f64 (/.f64 A (*.f64 V l)))
12.5b3(/.f64 A (*.f64 V l))
12.8b4(*.f64 V l)
12.8b4(*.f64 V l)
Compiler

Compiled 278 to 135 computations (51.4% saved)

bsearch1.0ms (0%)

Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
5.773515217270439e+275
5.835853427262074e+283
0.0ms
0.0
3.394044012078332e-279
0.0ms
-2.336991144152399e-143
-5.9163401957282625e-192
0.0ms
-inf
-6.656649512881919e+287
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes419.0ms (3.6%)

Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2))
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 c0 c0) A) V) l))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) c0))
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)))
(*.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))
(sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)
Calls

9 calls:

167.0ms
A
36.0ms
(*.f64 V l)
35.0ms
(*.f64 V l)
32.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
32.0ms
l
Results
ErrorSegmentsBranch
15.5b3c0
15.2b3A
15.0b3V
15.3b3l
12.9b4(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
12.6b3(sqrt.f64 (/.f64 A (*.f64 V l)))
12.6b3(/.f64 A (*.f64 V l))
12.8b4(*.f64 V l)
12.8b4(*.f64 V l)
Compiler

Compiled 269 to 131 computations (51.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.76537967862933e+300
+inf
0.0ms
0.0
1.4407e-320
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes172.0ms (1.5%)

Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.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))))
Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
Calls

9 calls:

35.0ms
(/.f64 A (*.f64 V l))
27.0ms
(*.f64 V l)
18.0ms
(*.f64 V l)
17.0ms
l
16.0ms
A
Results
ErrorSegmentsBranch
15.5b3c0
15.2b3A
15.0b3V
15.3b3l
12.9b4(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
12.6b3(sqrt.f64 (/.f64 A (*.f64 V l)))
12.6b3(/.f64 A (*.f64 V l))
12.8b4(*.f64 V l)
12.8b4(*.f64 V l)
Compiler

Compiled 133 to 78 computations (41.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.76537967862933e+300
+inf
0.0ms
0.0
1.4407e-320
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes109.0ms (0.9%)

Counts
7 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
Calls

5 calls:

36.0ms
V
29.0ms
(*.f64 V l)
14.0ms
c0
14.0ms
A
14.0ms
l
Results
ErrorSegmentsBranch
15.5b3c0
15.2b3A
14.1b5V
15.4b3l
13.0b4(*.f64 V l)
Compiler

Compiled 87 to 49 computations (43.7% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.6263400333074162e-250
1.0928260902720301e-243
0.0ms
-4.638084907789045e-177
-1.687377884507756e-177
0.0ms
-1.3853247354750772e+214
-3.197585811960173e+212
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes61.0ms (0.5%)

Counts
3 → 4
Calls
Call 1
Inputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
Outputs
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.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)))
Calls

5 calls:

30.0ms
V
12.0ms
(*.f64 V l)
10.0ms
l
4.0ms
A
4.0ms
c0
Results
ErrorSegmentsBranch
16.7b1c0
16.7b1A
15.5b3V
15.6b3l
13.4b4(*.f64 V l)
Compiler

Compiled 55 to 37 computations (32.7% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
6.55155520870427e-206
2.3161862948476105e-183
0.0ms
-1.161757531867318e-222
-3.380689639956711e-226
0.0ms
-1.2791713723379606e+307
-1.4476615229744222e+294
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.6b remaining (-3.5%)

Threshold costs -0.6b (-3.5%)

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

4 calls:

4.0ms
c0
3.0ms
A
3.0ms
l
3.0ms
V
Results
ErrorSegmentsBranch
17.7b1c0
17.7b1A
17.7b1V
17.7b1l
Compiler

Compiled 40 to 28 computations (30% saved)

simplify28.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01491090
11771090
21871090
31941090
41961090
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 V l) -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1099999999999999970821920090530712592224726482242364584780801021463749188971138704483994773594458216494097479102104513615696858000868959347307523494770453805153182770266112) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -18249762470488780/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) (if (<=.f64 (*.f64 V l) -6668014432879854592/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 331612160/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -2196735251241795/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 0) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 V l)) 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 V l)) 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (*.f64 V l) -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (if (<=.f64 (*.f64 V l) -18249762470488780/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 V l) -6668014432879854592/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 36147378671465184/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
Outputs
(if (<=.f64 (*.f64 V l) -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))
(if (<=.f64 (*.f64 V l) -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 V (neg.f64 l))))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V (neg.f64 l))) (sqrt.f64 (neg.f64 A)))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1099999999999999970821920090530712592224726482242364584780801021463749188971138704483994773594458216494097479102104513615696858000868959347307523494770453805153182770266112) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (if (<=.f64 (*.f64 V l) -18249762470488780/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1099999999999999970821920090530712592224726482242364584780801021463749188971138704483994773594458216494097479102104513615696858000868959347307523494770453805153182770266112) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -4562440617622195/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l)) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) (if (<=.f64 (*.f64 V l) -6668014432879854592/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 331612160/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))))
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(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -2196735251241795/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 0) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 V l)) 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/2) c0)))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) (if (<=.f64 (/.f64 A (*.f64 V l)) 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (if (<=.f64 (*.f64 V l) -18249762470488780/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (if (<=.f64 (*.f64 V l) -4562440617622195/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 V l) -6668014432879854592/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 36147378671465184/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))
(if (<=.f64 (*.f64 V l) -9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 V l) -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) (if (<=.f64 (*.f64 V l) 1129605583483287/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A)))) (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))

end198.0ms (1.7%)

Stop Event
1×fuel
Compiler

Compiled 1612 to 639 computations (60.4% saved)

Profiling

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