Henrywood and Agarwal, Equation (3)

Time bar (total: 4.4s)

analyze209.0ms (4.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
12.5%12.5%87.3%0.2%0%0%0%7
18.8%18.7%81.1%0.2%0%0%0%8
28.6%28.1%70.2%0.2%0%1.6%0%9
28.6%28.1%70.2%0.2%0%1.6%0%10
28.8%28.1%69.4%0.2%0%2.3%0%11
36.1%32.7%58.1%0.2%0%9%0%12
Compiler

Compiled 26 to 18 computations (30.8% saved)

sample3.7s (84.5%)

Results
645.0ms8256×0valid-sollya
478.0ms8256×0valid-rival-baseline
512.0ms8256×0valid-rival
Bogosity

preprocess440.0ms (10.1%)

Algorithm
1×egg-herbie
Rules
1514×fma-define
586×fma-neg
274×unsub-neg
244×div-sub
230×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059600
1128600
2203600
3417600
4903600
52254600
63589600
75017600
85649600
96181600
106217600
116260600
126332600
136354600
146404600
156424600
166424600
176424600
186496600
196804600
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (neg.f64 V) l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l)))))
(neg.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l)))))
(neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (neg.f64 V) l)))))
(neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 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 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) (neg.f64 l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (neg.f64 V) l))))
(*.f64 c0 (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) (neg.f64 l))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) (neg.f64 l))))
(neg.f64 (*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l)))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l))))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) (neg.f64 l)))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l)))))
(neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 (neg.f64 V) l)))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l))))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) (neg.f64 l)))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l)))))
(neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l))))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 (neg.f64 A) (*.f64 V l))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 l))))))
(*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 (/.f64 A V) (neg.f64 l)))))
(*.f64 (neg.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V (neg.f64 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 l (sqrt.f64 (/.f64 (/.f64 A V) c0)))
(*.f64 c0 (sqrt.f64 (/.f64 V (*.f64 A l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 l (*.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 l (*.f64 A V))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
Symmetry

(negabs c0)

(sort V l)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
11835
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
Outputs
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 12 to 8 computations (33.3% saved)

preprocess25.0ms (0.6%)

Remove

(sort V l)

(negabs c0)

Compiler

Compiled 144 to 96 computations (33.3% saved)

end0.0ms (0%)

Profiling

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